Mathlinks 9 Teacher Centre


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Challenges for BC

The Master 4-Level Project Rubric can be used to assess all tasks, challenges, and Wrap It Up! activities using a four-level rubric. This replaces Master 1 Project Rubric, which is in the MathLinks 9 Teacher’s Resource.

Master 4-Level Project Rubric (45.0K)

These links provide four-level rubric, notes and student exemplars for each of the Challenges in the MathLinks 9 student resource. You may find these exemplars helpful when you discuss with students what is needed for individual Challenges and when you are assessing student work.

Chapter 1: Making a Paper Airplane (4252.0K)
Chapter 1: Musical Instruments (2708.0K)
Chapter 2: Reaction Time (1871.0K)
Chapter 2: Going Up? (2079.0K)
Chapter 3: Develop Your Own Online Tournament (1460.0K)
Chapter 3: Stopping the Spread of Harmful Bacteria (3119.0K)
Chapter 4: Shadow, Shadow (1957.0K)
Chapter 4: Graphic Designer (11210.0K)
Chapter 5: Kayaks for Rent (1938.0K)
Chapter 5: What Have You Got to Hide? (2113.0K)
Chapter 6: Hot Air Ballooning (7679.0K)
Chapter 6: Opening a Fitness Club (3737.0K)
Chapter 7 Design a Card Game (16331.0K)
Chapter 8: School Store (2426.0K)
Chapter 9: Not for Profit (1970.0K)
Chapter 10: Dream Catcher (5805.0K)
Chapter 11: Global Warming (4530.0K)
Chapter 11: Probability in Society (2302.0K)

Chapter 8: Concert Promoter (3246.0K) is an alternative challenge that can be used instead of, or in addition to, School Store.

Chapter BLMs

To quickly and easily access any blackline master needed for MathLinks 9, just click and print.


Chapter 1 (5214.0K)
Chapter 2 (2487.0K)
Chapter 3 (3360.0K) Chapter 4 (6434.0K)
Chapter 5 (4194.0K)
Chapter 6 (6190.0K)
Chapter 7 (3473.0K) ld>
Chapter 8 (3581.0K)
Chapter 9 (2397.0K)
Chapter 10 (4963.0K)
Chapter 11 (5044.0K)
Generic Masters (5889.0K)

To extract the files from the zip folder, a software compression utility is required. A free evaluation version of Winzip is avalaible here.

Combined Grade 8 and 9 Class

If you have a combined grade 8 and 9 class, you may find the information in this link useful. Click here to download a suggestion for organizing your lessons using a staggered approach. The chapters in this section build the basic skills for each of the grade levels.

Combined Grades MathLinks 8 and Mathlinks 9: Staggered Approach (296.0K)

Curriculum Correlation


Use this link to download a full correlation showing how the materials and activities in the MathLinks 9 textbook fully meet the WNCP curriculum.

MathLinks 9 Curriculum Correlation (628.0K)




To view this file, Adobe's free Acrobat Reader application is required.




Generic BLMs


Generic BLMs in PDF format

Master 01 Project Rubric (74.0K)
Master 02 Peer Evaluation (23.0K)
Master 03 Integer Number Lines (62.0K)
Master 04 Number Lines (33.0K)
Master 05 Tangram (68.0K)
Master 06 Square Dot Paper (60.0K)
Master 07 Isometric Dot Paper (89.0K)
Master 08 Centimetre Grid Paper (69.0K)
Master 09 0.5 Centimetre Grid Paper (87.0K)
Master 10 2 Centimetre Grid Paper (50.0K)
Master 11 Algebra Tiles (Positive Tiles) (116.0K)
Master 12 Algebra Tiles (Negative Tiles) (62.0K)
Master 13 Integer Chips (128.0K)
Master 14 Coin Models (157.0K)
Master 15 Thematic Map (51.0K)
Master 16 Frayer Model (28.0K)
Master 17 Spider Map (29.0K)
Master 18 Sequence Chart (78.0K)
Master 19 Web Map (57.0K)
Master 20 Multiplication Chart (146.0K)
Master 21 Mathematical Symbols (52.0K)
Master 22 Circular Geoboard (90.0K)
Master 23 Famous Mathematicians (55.0K)


Generic BLMs in Word format

Master 01 Project Rubric (32.0K)
Master 02 Peer Evaluation (28.0K)
Master 03 Integer Number Lines (168.0K)
Master 04 Number Lines (280.0K)
Master 05 Tangram (239.0K)
Master 06 Square Dot Paper (300.0K)
Master 07 Isometric Dot Paper (410.0K)
Master 08 Centimetre Grid Paper (410.0K)
Master 09 0.5 Centimetre Grid Paper (630.0K)
Master 10 2 Centimetre Grid Paper (264.0K)
Master 11 Algebra Tiles (Positive Tiles) (268.0K)
Master 12 Algebra Tiles (Negative Tiles) (317.0K)
Master 13 Integer Chips (602.0K)
Master 14 Coin Models (1716.0K)
Master 15 Thematic Map (136.0K)
Master 16 Frayer Model (64.0K)
Master 17 Spider Map (83.0K)
Master 18 Sequence Chart (285.0K)
Master 19 Web Map (192.0K)
Master 20 Multiplication Chart (860.0K)
Master 21 Mathematical Symbols (133.0K)
Master 22 Circular Geoboard (307.0K)
Master 23 Famous Mathematicians (43.0K)

Link to WNCP Curriculum

Click here to access the The Common Curriculum Framework for K–9 Mathematics, May 2006. You will need to scroll down the page to find the correct files, in both English and French. This document provides the new wording for the most recent WNCP curriculum.




MathLinks Lesson Plans


Please see the attachment to view the

MathLinks 9 Program Overview (141.0K)
MathLinks 9 Chapter 1 Lesson Plans (280.0K)
MathLinks 9 Chapter 2 Lesson Plans (312.0K)
MathLinks 9 Chapter 3 Lesson Plans (277.0K)

MathLinks 9 Program Overview (84.0K)
MathLinks 9 Chapter 1 Lesson Plans (188.0K)
MathLinks 9 Chapter 2 Lesson Plans (248.0K)
MathLinks 9 Chapter 3 Lesson Plans (242.0K)


Please Note: This Teacher Centre provides lesson plans for Chapters 1 to 3 of each student resource in the MathLinks series. A full range of teacher support is available in our MathLinks Teacher’s Resource and on its companion CD. Additional teaching supplements and materials are available on our enhanced online learning centre.

Student Text Game BLMs: Additional Resources


Use the links below to access a game for Chapter 5, along with related teaching notes. Games such as this one provide non-threatening practice for many students.

Chapter 5

MathLinks 9 Chapter 5 Polynomial Game Teaching Notes (102.0K)
MathLinks 9 Chapter 5 Polynomial Game Teaching Notes (51.0K)

MathLinks 9 Chapter 5 Polynomial Game (106.0K)
MathLinks 9 Chapter 5 Polynomial Game (44.0K)



Use the link below to access the materials needed to play the games in Chapter 7. Games such as these provide non-threatening practice for many students.

Chapter 7

BLM 7–13 Chapter 7 Sample Polynomial Puzzle (103.0K)
BLM 7–13 Chapter 7 Sample Polynomial Puzzle (160.0K)


Use the link below to access the materials needed to play the games in Chapter 9. Games such as these provide non-threatening practice for many students.

Chapter 9

BLM 9–14 Inequalities Game Boards (470.0K)
BLM 9–14 Inequalities Game Boards (94.0K)



Use the link below to access a game for Chapter 10. This game can provide challenging and non-threatening practice of the skills in Chapter 10.

Chapter 10

MathLinks 9 Chapter 10 Jeopardy Game (38.0K)
MathLinks 9 Chapter 10 Jeopardy Game (15.0K)






Supply List


Click here (118.0K) to get a list of supplies needed to teach the MathLinks 9 program. These supplies are listed according to items that:

  • may need to be purchased
  • can be made using resources and directions in the Teacher's Resource
  • students own
  • may be in the classroom or in another location in the school
  • may be obtained from home








Tasks

These links provide student exemplars and explanations for each of the Tasks in the MathLinks 9 student resource. You may find these exemplars helpful when you discuss with students what is needed for individual Tasks and when assessing student work.

Chapters 1-4: How Many Times Can You Fold a Piece of Paper? (2418.0K)
Chapters 5-7: Choosing a Television to Suit Your Room (4708.0K)

These alternative tasks can be used instead of, or in addition to, How Many Times Can You Fold a Piece of Paper? and Choosing a Television to Suit Your Room. The links provide a BLM of the task, the related Teaching Notes, student exemplars, and a description of each level.

Chapters 1-4 What Was Kepler's Guess? (3987.0K)
Chapters 5-7 Let's Build a Facility, But Where? (2957.0K)

To download a master project rubric for all tasks click on the file below.

Master 01 Project Rubric (74.0K)
Master 01 Project Rubric (44.0K)

Tasks for BC

The Master 4-Level Project Rubric can be used to assess all tasks, challenges, and Wrap It Up! activities using a four-level rubric. This replaces Master 1 Project Rubric, which is in the MathLinks 9 Teacher’s Resource.

Master 4-Level Project Rubric (45.0K)

These links provide four-level rubric notes and student exemplars for each of the tasks in the MathLinks 9 student resource. You may find these exemplars helpful when you discuss with students what is needed for individual tasks and when you are assessing student work.

Chapters 1-4: How Many Times Can You Fold a Piece of Paper? (2024.0K)
Chapters 5-7: Choosing a Television to Suit Your Room (4565.0K)

These alternative tasks can be used instead of, or in addition to, How Many Times Can You Fold a Piece of Paper? and Choosing a Television to Suit Your Room. The links provide a BLM of the task, the related Teaching Notes, student exemplars, and a description of each level.

Chapters 1-4 What Was Kepler's Guess? (3535.0K)
Chapters 5-7 Let's Build a Facility, But Where? (1619.0K)

Teacher's Resource

MathLinks 9

Front Matter (9819.0K)

Chapter 1: Symmetry and Surface Area
Opening Matter and Charts (1301.0K)
Chapter 1 Foldout (219.0K)
1.1 Line Symmetry (2497.0K)
1.2 Rotational Symmetry and Transformations (2837.0K)
1.3 Surface Area (2668.0K)
Chapter 1 Review (712.0K)
Chapter 1 Practice Test (732.0K)
Math Link: Wrap It Up! (293.0K)
Challenge: Making a Paper Airplane (606.0K)
Challenge: Musical Instruments (287.0K)

Chapter 2: Rational Numbers
Opening Matter and Charts (1269.0K)
Chapter 2 Foldout (233.0K)
2.1 Comparing and Ordering Rational Numbers (2576.0K)
2.2 Problem Solving With Rational Numbers in Decimal Form (2411.0K)
2.3 Problem Solving With Rational Numbers in Fraction Form (2561.0K)
2.4 Determining Square Roots of Rational Numbers (2876.0K)
Chapter 2 Review (877.0K)
Chapter 2 Practice Test (755.0K)
Math Link: Wrap it Up! (319.0K)
Challenge: Reaction Time (897.0K)
Challenge: Going Up? (436.0K)

Chapter 3: Powers and Exponents
Opening Matter and Charts (1627.0K)
Chapter 3 Foldout (234.0K)
3.1 Using Exponents to Describe Numbers (1803.0K)
3.2 Exponent Laws (2141.0K)
3.3 Order of Operations (1675.0K)
3.4 Using Exponents to Solve Problems (1651.0K)
Chapter 3 Review (704.0K)
Chapter 3 Practice Test (806.0K)
Math Link: Wrap It Up! (304.0K)
Challenge: Develop Your Own Online Tournament (774.0K)
Challenge: Stopping the Spread of Harmful Bacteria (347.0K)

Chapter 4: Scale Factors and Similarity
Opening Matter and Charts (1319.0K)
Chapter 4 Foldout (233.0K)
4.1 Enlargements and Reductions (2001.0K)
4.2 Scale Diagrams (1984.0K)
4.3 Similar Triangles (1850.0K)
4.4 Similar Polygons (1736.0K)
Chapter 4 Review (617.0K)
Chapter 4 Practice Test (703.0K)
Math Link: Wrap It Up! (237.0K)
Challenge: Shadow, Shadow (716.0K)
Challenge: Graphic Designer (367.0K)
Chapters 1-4 Review (862.0K)
Task: How Many Times Can You Fold a Piece of Paper? (395.0K)

Chapter 5: Introduction to Polynomials
Opening Matter and Charts (1730.0K)
Chapter 5 Foldout (232.0K)
5.1 The Language of Mathematics (2652.0K)
5.2 Equivalent Expressions (2030.0K)
5.3 Adding and Subtracting Polynomials (2575.0K)
Chapter 5 Review (808.0K)
Chapter 5 Practice Test (689.0K)
Math Link: Wrap It Up! (298.0K)
Challenge: Kayaks for Rent (858.0K)
Challenge: What Have You Got to Hide? (370.0K)

Chapter 6: Linear Relations
Opening Matter and Charts (1409.0K)
Chapter 6 Foldout (233.0K)
6.1 Representing Patterns (2743.0K)
6.2 Interpreting Graphs (3410.0K)
6.3 Graphing Linear Relations (3688.0K)
Chapter 6 Review (864.0K)
Chapter 6 Practice Test (941.0K)
Math Link: Wrap It Up! (341.0K)
Challenge: Hot-Air Ballooning (731.0K)
Challenge: Opening a Fitness Club (319.0K)

Chapter 7: Multiplying and Dividing Polynomials
Opening Matter and Charts (1476.0K)
Chapter 7 Foldout (231.0K)
7.1 Multiplying and Dividing Monomials (2162.0K)
7.2 Multiplying Polynomials by Monomials (1894.0K)
7.3 Dividing Polynomials by Monomials (1552.0K)
Chapter 7 Review (610.0K)
Chapter 7 Practice Test (741.0K)
Math Link: Wrap It Up! (341.0K)
Challenge: Design a Card Game (639.0K)
Challenge: Polynomial Puzzle (260.0K)
Chapters 5-7 Review (963.0K)
Task: Choosing a Television to Suit Your Room (418.0K)

Chapter 8: Solving Linear Equations
Opening Matter and Charts (1425.0K)
Chapter 8 Foldout (242.0K)
8.1 Solving Equations: ax = b, x/a = b, a/x = b (3297.0K)
8.2 Solving Equations: ax + b, x/a + b = c (2682.0K)
8.3 Solving Equations: a(x + b) = c (2482.0K)
8.4 Solving Equations: ax = b + cx, ax +b = cx + d, a(bx +c) = d(ex + f) (2478.0K)
Chapter 8 Review (824.0K)
Chapter 8 Practice Test (808.0K)
Math Link: Wrap It Up! (434.0K)
Challenge: School Store (673.0K)
Challenge: Pair Up, Create, and Solve (248.0K)

Chapter 9: Linear Inequalities
Opening Matter and Charts (1503.0K)
Chapter 9 Foldout (233.0K)
9.1 Representing Inequalities (2945.0K)
9.2 Solving Single-Step Inequalities (2916.0K)
9.3 Solving Multi-Step Inequalities (2252.0K)
Chapter 9 Review (824.0K)
Chapter 9 Practice Test (817.0K)
Math Link: Wrap It Up! (355.0K)
Challenge: Not for Profit (817.0K)
Challenge: The Inequalities Game (364.0K)

Chapter 10: Circle Geometry
Opening Matter and Charts (1473.0K)
Chapter 10 Foldout (236.0K)
10.1 Exploring Angles in a Circle (2082.0K)
10.2 Exploring Chord Properties (2211.0K)
10.3 Tangents to a Circle (2570.0K)
Chapter 10 Review (762.0K)
Chapter 10 Practice Test (647.0K)
Math Link: Wrap It Up! (262.0K)
Challenge: Dream Catcher (632.0K)

Chapter 11: Data Analysis
Opening Matter and Charts (1664.0K)
Chapter 11 Foldout (233.0K)
11.1 Factors Affecting Data Collection (2662.0K)
11.2 Collecting Data (2768.0K)
11.3 Probability in Society (3197.0K)
11.4 Developing and Implementing a Project Plan (1102.0K)
Math Link: Wrap It Up! (274.0K)
Chapter 11 Review (974.0K)
Chapter 11 Practice Test (890.0K)
Challenge: Global Warming (826.0K)
Challenge: Probability in Society (397.0K)
Chapters 8-11 Review (1065.0K)

Texas Instruments Textbook Alignments


Review and select activities from TI's Activities Exchange that are aligned to the unit and section of your MathLinks textbook. Each activity you select can also be checked to see how it aligns to the WNCP Common Curriculum Framework.


http://education.ti.com/educationportal/sites/US/nonProductSingle/pubconnect_mcgrawhill_ryerson_ca.html







Time Lines for MathLinks 9

Click here to access the Time Lines for MathLinks 9. This chart provides a summary of the average amount of time needed to handle each element in the MathLinks 9 student resource. The blue line after the Wrap It Up! signifies that the items below that line are optional. Students can meet each outcome in The Common Curriculum Framework for K–9 Mathematics, May 2006 without doing any of these activities; however, students would benefit from doing at least some of these activities in addition to or instead of some of the items above that line.





Web Links


British Columbia Ministry of Education

http://www.gov.bc.ca/themes/education_literacy.html
The British Columbia Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in British Columbia.
( http://www.gov.bc.ca/themes/education_literacy.html )
Alberta Ministry of Education

http://ednet.edc.gov.ab.ca/
The Alberta Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Alberta.
( http://ednet.edc.gov.ab.ca/ )
Saskatchewan Ministry of Education

http://www.sasked.gov.sk.ca/
The Saskatchewan Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Saskatchewan.
( http://www.sasked.gov.sk.ca/ )
Manitoba Ministry of Education

http://www.edu.gov.mb.ca/
The Manitoba Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Manitoba.
( http://www.edu.gov.mb.ca/ )
Yukon Ministry of Education

http://www.education.gov.yk.ca/
The Yukon Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Yukon.
( http://www.education.gov.yk.ca/ )
Northwest Territories Ministry of Education

http://www.gov.nt.ca/agendas/education/index.html
The Northwest Territories Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Northwest Territories.
( http://www.gov.nt.ca/agendas/education/index.html )
Nunavut Ministry of Education

http://www.gov.nu.ca/education/eng/index.htm
The Government of Nunavut site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Nunavut.
( http://www.gov.nu.ca/education/eng/index.htm )
Curriculum Services Canada

http://www.curriculum.org/index2.shtml
Curriculum Services Canada offers downloadable course profiles, other learning resources, professional development services, grants for teachers, and opportunities to develop additional curriculum resources.
( http://www.curriculum.org/index2.shtml )
Statistics Canada

http://www.statcan.ca/start.html
Statistics Canada maintains a user-friendly web site with several areas that focus on education, especially E-STAT. Data from Canadian sources can be retrieved and presented in a variety of formats, such as circle graphs or tables, or downloaded for use in assignments, tests, or summative assessments.
( http://www.statcan.ca/start.html )
Intermath Online Mathematics Dictionary

http://intermath.coe.uga.edu/dictnary/homepg.asp
The Intermath Online Mathematics Dictionary is a quick source for definitions of mathematical terms. Math terms are arranged alphabetically, with live hyperlinks for each letter of the alphabet. A search engine is included.
( http://intermath.coe.uga.edu/dictnary/homepg.asp )
Math Central

http://mathcentral.uregina.ca/
Math Central is an Internet service for mathematics teachers and students from kindergarten to grade twelve. Included on the site are a Resource Room containing shared resources and teaching ideas, the Teacher’s Bulletin Board, mathematics projects, a question-and-answer database, and a monthly mathematics problem.
( http://mathcentral.uregina.ca/ )
British Columbia Association of Mathematics Teachers

http://bctf.ca/bcamt/
The BCAMT maintains an excellent site. It is a source of information on conferences and resources for teachers of mathematics.
( http://bctf.ca/bcamt/ )
Mathematics Council of the Alberta Teachers’ Association

http://www.mathteachers.ab.ca/
The MCATA maintains an excellent site. It is a source of information on conferences and resources for teachers of mathematics.
( http://www.mathteachers.ab.ca/ )
Saskatchewan Mathematics Teachers’ Society

http://www.smts.ca/
The SMTS maintains an excellent site. It is a source of information on conferences and resources for teachers of mathematics.
( http://www.smts.ca/ )
Manitoba Association of Mathematics Teachers

http://www.mamt.mb.ca/
The MAMT maintains an excellent site. It is a source of information on conferences and resources for teachers of mathematics.
( http://www.mamt.mb.ca/ )
Canadian Mathematics Education Study Group

http://cmesg.math.ca
The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.
( http://cmesg.math.ca )
Mathematics Teacher Sites from other Jurisdictions

http://www.oame.on.ca/main/index1.php
Ontario Association of Mathematics Educators
( http://www.oame.on.ca/main/index1.php )
http://www.omca.ca/
Ontario Mathematics Coordinators Association
( http://www.omca.ca/ )
http://www.mictm.org/
Michigan Council of Teachers of Mathematics
( http://www.mictm.org/ )
http://www.amtnys.org/
Association of Mathematics Teachers of New York State
( http://www.amtnys.org/ )
National Council of Teachers of Mathematics

http://www.nctm.org/
The NCTM offers a comprehensive site that includes electronic resources, professional development, lesson plans, professional publications, and news from the world of mathematics.
( http://www.nctm.org/ )
Learn Alberta Math Glossary

http://www.ronblond.com/MathGlossary/
This site offers a glossary of mathematical terms organized by grade level. Also offered are interactive applets geared to the Western Protocol mathematics program.
( http://www.ronblond.com/MathGlossary/ )
The Math Forum @ Drexel University

http://mathforum.org/
This is a comprehensive site for mathematics resources, including discussion groups, problems of the week, mathematics resources from K–12, innovations, and the popular Ask Dr. Math question-and-answer forum.
( http://mathforum.org/ )
Mudd Math Fun Facts

http://www.math.hmc.edu/funfacts/
This site contains hundreds of interesting mathematics facts useful for adding interest to assignments or researching the background to a topic. The facts are organized by topic (algebra, geometry, probability, etc). Famous problems (the Birthday problem, colouring pizza slices, Devil’s staircase, etc) are listed by name.
( http://www.math.hmc.edu/funfacts/ )
Fun Math Lessons by Cynthia Lanius

http://math.rice.edu/~lanius/Lessons/
Cynthia Lanius of Rice University has created a number of mathematics lessons with an emphasis on having fun. Ms. Lanius also offers professional advice on mathematics instructional methods that appeal to girls and under-represented minorities.
( http://math.rice.edu/~lanius/Lessons/ )
Agriculture and Mathematics

http://www.tarleton.edu/~mcgregor/Extras/MathScience/MathScience.htm
This site offers problems and experiments that connect mathematics with agriculture. Documents are downloadable in Microsoft Word format. Useful ideas for projects and presentations can be found here.
( http://www.tarleton.edu/~mcgregor/Extras/MathScience/MathScience.htm )
Figure This! Math Challenges

http://www.figurethis.org/index.html
This site is maintained by the National Council of Teachers of Mathematics, and contains a large number of fun mathematics challenges. The challenges can be listed by title, or arranged into mathematics topics such as linear equations, transformations, area and circumference, etc.
( http://www.figurethis.org/index.html )
Coolmath 4 Teachers

http://www.coolmath.com/teachers/
The Coolmath site includes continuing education for teachers, activities for group learning, resources for teaching algebra, and fun activities for teaching and learning mathematics. Although it is a UK site, the mathematics are international. This is a commercially sponsored site; it includes advertising banners.
( http://www.coolmath.com/teachers/ )
Interactive Mathematics

http://www.cut-the-knot.org/content.shtml
The Interactive Mathematics Miscellany and Puzzles site includes interactive mathematics activities, games, puzzles, interesting mathematics facts, “things impossible”, and many other useful resources. The site also has several short “movies” demonstrating topological constructs such as a Klein bottle or a Moebius strip.
( http://www.cut-the-knot.org/content.shtml )
Mathematicians and their Biographies

http://www-gap.dcs.st-and.ac.uk/~history/BiogIndex.html
This site includes biographies of mathematicians throughout the years. There is a special link for female mathematicians. Also available are timelines, quotations, birthplace maps, and a "mathematicians-of-the-day" feature for any date.
( http://www-gap.dcs.st-and.ac.uk/~history/BiogIndex.html )
http://www.math.buffalo.edu/mad/madgreatest.html
Mathematicians from African cultures.
( http://www.math.buffalo.edu/mad/madgreatest.html )
http://www.sfusd.k12.ca.us/schwww/sch618/ScienceMath/Math.html
Mathematicians from Muslim cultures.
( http://www.sfusd.k12.ca.us/schwww/sch618/ScienceMath/Math.html )
http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Indians.html
Mathematicians from East Indian cultures.
( http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Indians.html )
http://aleph0.clarku.edu/~djoyce/mathhist/china.html
Mathematicians from Chinese cultures.
( http://aleph0.clarku.edu/~djoyce/mathhist/china.html )
http://www.sacnas.org/biography/listsethnicity.asp
Mathematicians from Native American and Latino cultures
( http://www.sacnas.org/biography/listsethnicity.asp )
Geometry From the Land of the Incas

http://agutie.homestead.com/files/index.html
Geometry from the Land of the Incas contains geometry problems, illustrations, and historical references from South American Inca culture, including Cuzco, Macchu Picchu, the Nazca Lines, and even an "Incan" city on Mars. Resources include quizzes, crosswords, matching, and puzzles.
( http://agutie.homestead.com/files/index.html )
Math Archives

http://archives.math.utk.edu/
The Math Archives include a searchable database of teaching materials organized by mathematical topic. The site, which includes mathematics at all levels through university, has a K-12 section. Downloadable mathematics software, both freeware and shareware, is available both on-site and through additional links.
( http://archives.math.utk.edu/ )
Mensa Canada

http://www.canada.mensa.org/
The Mensa Canada site offers a puzzle of the month (often mathematically-based), test questions that often use interesting patterns, and links to Mensa groups in other countries. This site is an excellent source of materials for challenging the brightest students.
( http://www.canada.mensa.org/ )
Math is Fun

http://www.mathisfun.com/
This is a general site for all things mathematical. It includes games, puzzles, quizzes, worksheets, self-tests, nets for polyhedra, and many other items.
( http://www.mathisfun.com/ )
Math Learning Disabilities

http://www.ldonline.org/ld_indepth/math_skills/garnett.html
Many students have learning disabilities that affect their learning of mathematics. This site provides parents and teachers with general information on the specific learning disabilities that affect the learning of math, such as arithmetic weakness (grasp of concepts, but inability to calculate answers), mathematical symbology and concrete materials, and visual-spatial cognitive difficulties, and offers suggestions for overcoming these disabilities.
( http://www.ldonline.org/ld_indepth/math_skills/garnett.html )
Dyscalculia

http://www.dyscalculia.org/calc.html
Some students who otherwise show excellent progress in their education, such as above-average language skills, show a low level of facility with and understanding of numbers and patterns. This site provides diagnostic tools to determine whether a problem exists, and resources for improving performance in mathematics. This testing is of special importance for children that have been identified as gifted, and yet appear math disabled.
( http://www.dyscalculia.org/calc.html )
Mathcamp

http://www.mathcamp.org/
The Canada/USA Mathcamp is an intensive 5-week summer program for mathematically talented high school students. Activities include exposure to topics not normally covered in the school curriculum, a chance to meet and work with eminent mathematicians, fellowship with other students of similar interests and talents, and exposure to careers in mathematics, science, and engineering.
( http://www.mathcamp.org/ )
International Mathematics Olympiad

http://imo.math.ca/
The International Mathematics Olympiad is held in a different country each year. The last Canadian hosting was in North York in 1995. The Canadian site includes results, sample exam questions for aspiring math Olympians, frequently-asked questions, and links to the sites of other countries.
( http://imo.math.ca/ )
MATHguide

http://www.mathguide.com/
Teachers can develop online quizzes and worksheets on a variety of topics, as well as browse research and resources, including standardized tests.
( http://www.mathguide.com/ )
PBS Teachers Math

http://www.pbs.org/teachers/math/
This site contains a collection of resources for teachers from the Public Broadcasting System. Resources are organized by grade level then by topic.
( http://www.pbs.org/teachers/math/ )
Canadian Mathematical Society

http://camel.math.ca/Education/
The Canadian Mathematical Society site contains general information on the study of mathematics, as well as numerous links to other mathematically-oriented sites.
( http://camel.math.ca/Education/ )
Mathematrix

http://home.adelphi.edu/~stemkoski/mathematrix/index.html
Mathematrix explores mathematical recreation and draws from some of the lesser-known areas of mathematics. The activities are fun and interesting to anyone who enjoys puzzles and games.
( http://home.adelphi.edu/~stemkoski/mathematrix/index.html )
Tools for Understanding

http://www2.ups.edu/community/tofu/
Tools for Understanding is devoted to the extension of the use of various technologies in enhancing instruction. It includes supporting research on the effectiveness of various technologies.
( http://www2.ups.edu/community/tofu/ )
Wired Math

http://cemc2.math.uwaterloo.ca/wired_math/english/index.shtml
This site offers a collection of online mathematical tools and activities, organized by grade level.
( http://cemc2.math.uwaterloo.ca/wired_math/english/index.shtml )
Math.com The World of Math Online

http://www.math.com/
This site offers many resources, including lesson plans, worksheets, recreational math, homework help, practice questions arranged by topic, a question-and-answer area, online calculators and problem-solving tools, and mathematics-oriented games.
( http://www.math.com/ )
Wolfram MathWorld

http://mathworld.wolfram.com/
Wolfram MathWorld is an extensive general mathematics site for the serious learner. It includes interactive demonstrations, 3-D applets, worked examples, history of mathematics, terminology, and a wealth of other information.
( http://mathworld.wolfram.com/ )
Math TV

http://www.mathtv.com/
The Math TV site offers free video tutorials on a wide variety of math topics, including linear equations, exponents, polynomials, and inequalities.
( http://www.mathtv.com/ )
Calculator Tutorials

http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html
Texas Instruments offers a comprehensive set of video tutorials for the TI-83/84 Plus family, the TI-89/89T family, the TI-NspireTM and the TI-NspireTM CAS.
( http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html )
Smartboard Activities

http://harveyshomepage.com/Harveys_Homepage/Welcome.html
Harvey Almarode at James Madison University has created several attractive Smartboard lessons for intermediate mathematics.
( http://harveyshomepage.com/Harveys_Homepage/Welcome.html )
Smartboard Tutorials

http://smarttech.com
Smart Technologies provides a number of video tutorials on using the Notebook software to create lessons, ranging from novice to advanced.
( http://smarttech.com )
<b>Select Math,/b>

http://www.boston.k12.ma.us/teach/technology/select/index.html
This site offers virtual manipulatives that can be used to explore concepts related to algebra (Algebra Alignments, Algebra II Alignments) and geometry (Geometry Alignments). Follow the links under Resources for access to other useful sites.
( http://www.boston.k12.ma.us/teach/technology/select/index.html )

Wrap It Up! Rubric Notes for BC

Download these materials for 4-level project rubric notes for each Wrap it Up! in MathLinks 9. The Wrap It Up! is the final part of the Math Link (chapter problem), and can be used for Assessment of Learning.

Chapter 1 Wrap It Up! (58.0K)
Chapter 2 Wrap It Up! (56.0K)
Chapter 3 Wrap It Up! (58.0K)
Chapter 4 Wrap It Up! (56.0K)
Chapter 5 Wrap It Up! (54.0K)
Chapter 6 Wrap It Up! (59.0K)
Chapter 7 Wrap It Up! (58.0K)
Chapter 8 Wrap It Up! (59.0K)
Chapter 9 Wrap It Up! (57.0K)
Chapter 10 Wrap It Up! (57.0K)
Chapter 11 Wrap It Up! (57.0K)

Click below to download Master 4-Level Project Rubric. This replaces Master 1 Project Rubric for teachers who are assessing mateials using a 4-Level rubric.

Master 4-Level Project Rubric (45.0K)

Year-End Exam - Option 1

Click here for the MathLinks 9 Year-End Exam – Option 1. The exam includes:

  • multiple choice questions,
  • numerical response questions, and
  • written response questions.

Year-End Exam Option 1 Blueprint (105.0K)
Year-End Exam Option 1 Multiple Choice and Numerical Response (1082.0K)
Year-End Exam Option 1 Written Response (150.0K)
Year-End Exam Option 1 Answer sheet (22.0K)
Year-End Exam Option 1 Answers (36.0K)

Year-End Exam - Option 2

Click here for the MathLinks 9 Year-End Exam – Option 2. The exam includes:

  • multiple choice questions,
  • numerical response questions, and
  • written response questions.

Year-End Exam Option 2 Blueprint (105.0K)
Year-End Exam Option 2 Multiple Choice and Numerical Response (1230.0K)
Year-End Exam Option 2 Written Response (311.0K)
Year-End Exam Option 2 Answer sheet (21.0K)
Year-End Exam Option 2 Answers (92.0K)

Brain Teasers

Chapter 1 Symmetry and Surface Area

Squares Everywhere

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image002.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
What is the sum of the surface areas of all of the squares?

The side length of the smallest squares measures 1 cm.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 2 Rational Numbers

Oasis

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image004.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
Twenty caravans are travelling across the desert one day apart. The first caravan reached an oasis, and the camels drank half of the water in the pool. On the second day, the second caravan reached the oasis, and the camels drank one-third of the water that was left. On the third day, the camels in the third caravan drank one-quarter of the water that was left. On the first day, the pool contained 1050 m3 of water. How much was left after the 20th caravan passed through?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 3 Powers and Exponents

Exponent Power

You have four 3’s. Develop an expression using all four 3’s that is as large as possible when evaluated.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 4 Scale Factors and Similarity

Pong Soccer

Rachel held out a soccer ball and a ping pong ball from the window of a tall building such that their centres were at the same level. She dropped both balls at the same time and each fell straight down. Which ball will travel the farthest distance before hitting the ground?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 5 Introduction to Polynomials

Polly Wolly Doodle

Each of the letters a, b, c and d represents a single digit from 0 to 9.

If cd – ab = bb, determine a possible value for each letter.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 6 Linear Relations

Pattern Puzzle

Each row in this table of numbers uses the same pattern.

What is the missing number?

12

4

9

8

2

12

24

12

6

18

3

x


Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 7 Multiplying and Dividing Polynomials

Magic Polynomials

A polynomial consists of powers of x. All the numerical coefficients are single digits from 0 to 9. If x = 10, the value of the polynomial is 2351. What is the polynomial?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 8 Solving Linear Equations

DaVinci Goes Linear

A code is based on the linear equation y = x + 3. Assign a number to each letter in the alphabet. Calculate the corresponding value of y, and use it to replace the letter in a message. For example, if C is letter 3, the corresponding value of y is 6. So C becomes an F.

To decode a message, reverse the process.

What message does the code PHHWDWVLA indicate?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 9 Linear Inequalities

Present for Damian

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image006.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (8.0K)</a>

It is Damian’s birthday. His friends Anwar, Grace, Colin, Diana, and Evan went to the store to buy a present. Each had an integral number of dollars. They found a suitable item whose price was an integer. Anwar was $15 short, Graeme was $14 short, Colin was $13 short, Dieter was $12 short, and Ewan was $11 short. Even when they pooled all of their funds, they could not buy the item. What was the cost of the item?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 10 Circle Geometry

On a Tangent

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Allan tied a ball to a string and whirled it around in a circular path, as shown. He let go of the string when the ball was at point P. Which of his friends is most likely to catch the ball?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Chapter 11 Data Analysis

Deserted Island

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image010.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (6.0K)</a>
A passenger plane makes an emergency landing on a deserted island with 120 persons on board. The cargo included enough food to last for 15 days. On the morning of the sixth day, before the daily rations were handed out, a ship sank close to the island. All 30 ship passengers made it to shore. How long can the two groups survive, assuming that rations per person remain the same?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.




Hints

Teaser

Hint

Squares Everywhere

Consider similar squares of all possible different sizes.

Oasis

Calculate how much is left after each of the first three drinks. Look for a pattern.

Exponent Power

You may use multiplication, division, or exponents.

Pong Soccer

Consider the different sizes of the balls.

Polly Wolly Doodle

Look at the last digit in each term to determine a relation between d and b.

Pattern Puzzle

Think in terms of mathematical operations such as adding, subtracting, multiplying and dividing.

Magic Polynomials

Consider equivalent fractions with the same denominator.

DaVinci Goes Linear

Use the linear relation to write out each letter and its corresponding code.

Present for Damian

Let x represent the price. Use the data given to set an upper and a lower limit for x.

On a Tangent

Consider the direction in which the ball is going when it is at point P.

Deserted Island

Determine how many units of daily rations were on the plane when it landed.


Solutions


Teaser

Solution

Squares Everywhere

There are four types of squares with side lengths that measure 1 cm, 2 cm, 3 cm and 4 cm. The table summarizes the area of each type of square.

Type of Square

Number

Surface Area (cm2)

1 cm

16

16

2 cm

9

36

3 cm

4

36

4 cm

1

16

Total Surface Area:

104

The total surface area is 104 cm2.

Oasis

The first caravan left half of the water. The second caravan left <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image012.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a><a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image014.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> of the water. Continuing the pattern, the 20th caravan leaves <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image016.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> or 50 m3 of water.

Exponent Power

You can use some 3’s for the base and some for the exponents. Using a calculator to help you, show that the largest number occurs when you develop the expression 33 × 3 × 3.

Pong Soccer

The ping pong ball has a smaller radius than the soccer ball. Therefore, it must fall farther before it hits the ground.

Polly Wolly Doodle

You can start by noticing that db = b. Therefore, b must be half of d. Try each case: 8 and 4, 6 and 3, 4 and 2, and 2 and 1. One possible solution is a =1, b = 4, c = 5, and d = 8. Are there any others?

Pattern Puzzle

Divide the number in the first column by the number in the second column. Then, multiply by 3. The missing number is 18.

Magic Polynomials

Represent the polynomial as ax3 + bx2 + cx + d.

If x = 10, this becomes 1000a + 100b + 10c + d.

Comparing this to 2351, the polynomial must be 2x3 + 3x2 + 5x + 1.

DaVinci Goes Linear

Replace each letter by the letter that is 3 to its left in the alphabet. For example, P becomes M. The decoded message is MEETATSIX.

Present for Damian

Let x represent the cost of the item.

The table summarizes the provided data.

Friend

Costx

Anwar

x – 15

Grace

x – 14

Colin

x – 13

Diana

x – 12

Evan

x – 11

The cost of the present must be greater than the total amount of dollars of the five friends.

x > x – 15 + x – 14 + x – 13 + x – 12 + x – 11

x > 5x – 65

x < 16.25

Since Anwar is $15 short, x > 15. The only integer that satisfies both inequalities is 16. Therefore, the present cost $16.

On a Tangent

When Allan lets the string go, the ball will continue along a tangent to the circle. Deirdre is most likely to catch the ball.

Deserted Island

The number of rations available when the plane landed on the island was 120 × 15 = 1800.

At the end of five days, 120 × 5 = 600 rations had been used.

So, there were 1800 – 600 = 1200 rations remaining.

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image018.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

Dividing the rations among 150 people, there will be enough rations for 8 more days.

Getting Started with TI-83 Plus/TI-84 Plus

These lessons provided by Texas Instruments will focus on introducing you to the TI-83 Plus and TI-84 Plus through various guided interactive activities.
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These lessons are provided through Texas Instruments, and as such do not necessarily follow the Western and Northern Canadian Protocol The Common Curriculum Framework for Grades K–9 Mathematics. The following lessons and activities align with our curriculum and standards and we hope you take the time to enjoy the module and take from it what you feel will apply in your classroom setting.

Module 6: Operations in Algebra: Rational Numbers and Expressions
This module will examine the following:
• comparing and ordering rational numbers using relational operators and using the sort command for lists
• add, subtract, multiply, and divide rational numbers
• convert decimals to fractions
• using the last answer feature
• store numbers in alphanumeric variables and solving for expressions, using relational operators to compare algebraic expressions
• entering and comparing algebraic expressions and using graphs/ tables to compare expressions

Module 9: Solving Linear Inequalities
This module will examine the following:
• solving inequalities in one variable using concatenation and relational operators
• solving inequalities using tables and graphs by entering equations into y = editor and using tables/ graphs to solve for missing values
• using relational operators to graph linear inequalities by using the y = editor to enter equations and inequalities
• using graphs to examine inequalities and determine intersection points

Module 17: Systems of Linear Equations
This module will examine the following:
• using home screen to guess and check solutions and to find the intersection point of two functions
• graphing functions and performing mathematical operations on functions in the y= editor
• entering matrices and finding a solution using the rref (row reduced echelon form) feature


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For additional support on this product and material please contact Texas Instruments.


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For more exciting TI-83 Plus and TI-84 Plus modules, please visit the Texas Instruments site.

http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinealgebra_free.html



If you have a TI-Navigator system, please visit the Texas Instruments site for supporting modules.

http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinemgnavigator_free.html


The TI website offers a wide range of free activities for classroom use. Go to www.education.ti.com and visit the Activities Exchange portal for more resources that are aligned to Canadian standards.




* TI-83 Plus and TI-84 Plus are a trademark of Texas Instruments, Inc.
** TI-Navigator is a trademark of Texas Instruments, Inc.




Getting Started with TI-Nspire

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These lessons provided by Texas Instruments will focus on introducing you to the TI-Nspire handheld by looking at the layout of the keypad and the key features of operating the Applications.

These lessons will focus on introducing you to the TI-Nspire handheld by looking at the layout of the keypad and the key features of operating the Applications.

Lesson 1
Familiarize yourself with the layout of the handheld keypad and how to navigate the various screens you will encounter.
Start this lesson

Lesson 2
Familiarize yourself with a few of the basics of the Graphs & Geometry application. You will learn how to graph and edit functions as well as edit the window settings using built-in zoom options.
Start this lesson

Lesson 3
The Basics of the Lists & Spreadsheet Application - Gain familiarity with all the basics of the Lists & Spreadsheet application. You will learn a variety of ways to enter values in to the spreadsheet.
Start this lesson

Lesson 4
Calculator, Notes, and the Document Model - Learn some basic features of the Notes application and Calculator application. The document model will also be discussed to help you see how the TI-Nspire can help students develop a deeper understanding of mathematical concepts through guided investigations.
Start this lesson


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Check out these exciting Texas Instruments web links:


Current TI online TI-NspireTM courses:

http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html


Current TI Online courses:

http://education.ti.com/educationportal/sites/US/sectionHome/pd_onlinecourses_free.html


Current Product Tutorials:

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* TI-Nspire is a trademark of Texas Instruments, Inc.




Glossary


acute angle   An angle that is between 0° and 90°.
angle of rotation (for symmetry)   The minimum size of the angle needed to turn a shape or design onto itself. The angle may be measured in degrees or fractions of a turn.
(See page(s) 17)
arc (of a circle)   A portion of the circumference of a circle. A minor arc is less than a semicircle, and a major arc is more than a semicircle.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=png::::/../../student/9780070973404/olc2/dl/645442/image001.png','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (6.0K)</a>
(See page(s) 378)
area   The number of square units contained in a two-dimensional region.
assumption   Something taken for granted, as though it were true.
base (of a power)   number used as a factor for repeated multiplication. In 46, the base is 4.
(See page(s) 93)
biased sample   Does not represent the population, and can make survey results inaccurate.
(See page(s) 431)
binomial   An expression with two terms, such as 6y2 + 3 and 2x − 5y.
bisect   Divide into two equal parts.
bisector   A line or line segment that cuts an angle or line segment into two equal parts.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image004.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
boundary point   The point that separates the values less than from the values greater than a specified value. If it is a possible value, it is shown with a closed circle on a number line. If it is not a possible value, the circle is open. For example, the boundary points for the inequality −4 <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image006.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>x < 4 are −4 (closed circle) and 4 (open circle).
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image008.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
(See page(s) 342)
central angle   An angle formed by two radii of a circle. The vertex of the angle is at the centre of the circle, and the endpoints are on the circle.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image010.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
(See page(s) 378)
centre of rotation   The point about which the rotation of an object or design turns.
(See page(s) 16)
chord   A line segment joining two points on the circumference of a circle.
(See page(s) 378)
circumference   The boundary of or distance around a circle. This is a linear measurement. It is often represented by the variable C.
coefficient   See numerical coefficient.
common denominator  
A common multiple of the denominators of a set of fractions. A common denominator for <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image012.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
is 6 because a common multiple of 2 and 3 is 6.

common multiple   A common multiple is a number that is a multiple of two or more numbers. For example, common multiples of 3 and 5 include 0, 15, and 30.
composite object   An object made from two or more separate objects.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image014.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
congruent   Identical in shape and size.
constant   A known value in an equation or an expression. In the equation s = 3n − 2, −2 is a constant.
convenience sample   A group of individuals that is chosen because its members are easy to access.
coordinate grid   A grid made of intersecting vertical and horizontal lines. Also called a Cartesian plane.
coordinate pair(s)   See coordinates.
coordinate(s)   An ordered pair (x, y), is a pair of numbers used to locate a point on a coordinate grid. Coordinates are the values in an ordered pair. The x-coordinate is the distance from the vertical or y-axis. The y-coordinate in the distance from the horizontal or x-axis.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image016.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (6.0K)</a>
corresponding angles   Angles that have the same relative position in two geometric figures.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image018.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
(See page(s) 146)
corresponding sides   Sides that have the same relative position in two geometric figures.
(See page(s) 146)
degree of a polynomial   The degree of the highest degree term in a polynomial. For example, the polynomial 7a2 − 3a has a degree of two.
(See page(s) 176)
degree of a term   The sum of the exponents on the variables in a single term. For example, the degree of 3x3z2 is 5. A variable with no exponent has a degree of one.
(See page(s) 176)
diagonal   A line joining two non-adjacent vertices of a polygon.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image020.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
diameter   The distance across a circle through its centre. Represented by the variable d.
distributive property   The rule that states a(b + c) = ab + ac for all real numbers a, b, and c.
enlargement   An increase in the dimensions of an object by a constant factor. The enlargement can be 2-D or 3-D.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image022.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (6.0K)</a>
(See page(s) 131)
equation   A statement that two mathematical expressions are equal and have the same value.
equilateral triangle   A triangle with three equal sides.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image024.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
ethics   Involves judgments of right and wrong behaviour. For example, cheating on a test is wrong, or unethical.
experimental probability   The probability of an event occurring based on experimental results.
exponent   The number of times you multiply the base in a power by itself. For example, in 23, 3 is the exponent, so the base is multiplied by itself three times: 2 × 2 × 2 = 8.
(See page(s) 93)
exponential form   A shorter way of writing repeated multiplication, using a base and an exponent. For example, 5 × 5 × 5 in exponential form is 53.
(See page(s) 93)
extrapolate   To estimate a value beyond a given set of values.
(See page(s) 223)
generalize   To infer a general principle or make a broad statement from known facts.
heptagon   A 2-D shape with seven sides.
hypotenuse   side opposite the right angle in a right triangle.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image026.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>
hypothesis   A proposition put forward to guide an investigation.
inequality   A mathematical statement comparing expressions that may not be equal. These can be written using the symbols less than (<), greater than (>), less than or equal (<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image006.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>), greater than or equal (<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image029.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>),
or not equal (<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image031.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>).
(See page(s) 341)
inscribed angle   An angle formed by two chords that share a common endpoint. The vertex and endpoints are on the circle.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image033.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
(See page(s) 378)
interior angle   An angle that is formed inside a polygon by two sides meeting at a vertex.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image035.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>
interpolate   To estimate the value between two given values.
(See page(s) 222)
isosceles triangle   A triangle with exactly two equal sides.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image037.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>
like terms   Terms that have the same variable(s) raised to the exponent(s). For example, 3x − 2x are like terms.
(See page(s) 184)
line of symmetry   A line running through the centre of an object or design such that the halves on each side of the line are mirror images. These lines can be vertical, horizontal, or oblique. A figure may have more than one line of symmetry. Also called a line of reflection.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image039.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>
(See page(s) 6)
linear equation   An equation whose graph is a straight line.
linear relation   A relation that appears as a straight line when graphed.
mean   A measure of central tendency calculated by finding the sum of a set of values divided by the number of values in the set. For example, for the set of values 6, 8, 5, 9, and 12,
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image041.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
median   A measure of central tendency determined by the middle number in a set of data after the data have been arranged in order. For the data 2, 5, 6, 8, and 9, the median is 6. For the data 1, 3, 7, 7, 9, and 10, the median is 7.
mode   A measure of central tendency determined by the most frequently occurring number in a set of data. There can be more that one mode. For the data 3, 5, 7, 7, and 9, the mode is 7. For the data 2, 2, 4, 6, 6, 8, and 11, the modes are 2, and 6.
monomial  
An algebraic expression with one term. For example, 5, 2x, 3s2, −8cd, and <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image043.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> are all monomials.

non-perfect square   A rational number that cannot be expressed as the product of two rational factors. For example, you
cannot multiply any rational number by itself and get an answer of 3, 5, 1.5, or <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image045.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>.
The square root of a non-perfect square is a non-repeating, non-terminating decimal.
(See page(s) 77)
numerical coefficient   A number that multiplies the variable. In 3n − 2, the numerical coefficient is 3.
oblique   Slanted, rather than vertical or horizontal.
octagon   A 2-D shape with eight sides.
opposite operation   Operations that “undo” other operations. Sometimes called “inverse operations.” Examples of opposite operations are addition and subtraction, multiplication and division, and squaring and taking the square root.
opposites   Two numbers or expressions with the same numeral, but different signs. For example, +2 and −2, and 3x + 2 and −3x − 2, are opposites.
order of operations   The correct sequence of steps for a calculation: Brackets, Exponents, Divide and Multiply in order from left to right, Add and Subtract in order from left to right.
order of rotation   The number of times a shape or design fits onto itself in one turn. The order of rotation of this figure is 4.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/image047.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
(See page(s) 17)
parallegram   A four-sided figure with opposite sides that are parallel and equal in length.

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a>
pentagon   A 2-D shape with five sides.
perfect square   A number that is the product of two identical factors.
2 × 2 = 4, so 4 is a perfect square
6 × 6 = 36, so 36 is a perfect square

perimeter   The distance around the outside of a two-dimensional shape or figure.
perpendicular   Describes lines that intersect at right angles (90o).

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p2.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
perpendicular bisector   A line that divides a line segment in half and is at right angles to it.

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p3.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
plane   A two-dimensional flat surface that extends in all directions.
polygon   A two-dimensional closed figure made of three or more line segments.
(See page(s) 154)
polynomial   An algebraic expression formed by adding or subtracting terms. For example,
x + 5, 2d − 2.4, 3s2 + 5s − 6, and <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p4.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> are all polynomials.

(See page(s) 175)
population   All of the individuals that belong to a group being studied.
(See page(s) 423)
power   An expression made up of a base and an exponent. For example, for the power 63, 6 is the base and 3 is the exponent.
(See page(s) 93)
prime factorization   A number written as the product of its prime factors. For example, the prime factorization of 18 is 2 × 3 × 3.
prime factors   Factors that are prime numbers. For example, the prime factors of 10 are 2 and 5.
probability   The likelihood or chance of an event occurring. Probability can be expressed as a ratio, fraction, or percent.
proportion   An equation that says that two ratios or two rates are equal. It can be written
in fraction form as <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p5.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> , or in ratio form as 1 : 4 = 4 : 16.

Pythagorean relationship   The relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the legs of the triangle equals the area of the square attached to the hypotenuse.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p6.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a>
quadrilateral   A polygon that has four sides.
radius   A line segment joining the centre of a circle to the outside edge. It can also refer to the length of this line segment and may be represented by the variable, r.
random   An event in which every outcome has an equal chance of occurring.
random sample   A sample of individuals chosen randomly from the whole population as a way of representing the whole population. Stratified samples and systematic samples are types of random samples.
ratio   A comparison of two quantities with the same units.
rational number   A number that can be expressed as the quotient of two integers, where the divisor is not zero.
For example, 0.75, <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p23.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> , and −2 are rational numbers.

(See page(s) 47)
reciprocal   The multiplier of a number to give a product of 1. For example,
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p23.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> is the reciprocal of <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p24.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> because <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p23.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> × <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p24.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> = 1.

reduction   A decrease in the dimensions of an object by a constant factor. For example, in the diagram, the second bulb is half as large as the first. A reduction can be 2-D or 3-D.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p9.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
(See page(s) 133)
regular polygon   A polygon with all sides equal and all interior angles equal.
repeating decimal   A decimal number with a digit or group of digits that repeats forever.
Repeating digits are shown with a bar: <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p10.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> = 0.444... and <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p11.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> = −3.121212....

right triangle   A triangle containing a 90o angle.
rotation symmetry   Occurs when a shape or design can be turned about its centre of rotation so that it fits onto its outline more than once in a complete turn. The design in the figure fits onto itself 10 times in one turn.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p12.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
(See page(s) 16)
sample   Any group of individuals selected from the population.
(See page(s) 423)
scale   A comparison between the actual size of an object and the size of its image. This can be expressed as a ratio, as a fraction, as a percent, in words, or in a diagram. For example, a scale of 1 cm : 50 km on a map means that 1 cm on the map represents 50 km.
(See page(s) 139)
scale diagram   A diagram that is similar to the actual figure or object. It may be smaller than or larger than the actual object, but must be in the same proportions.
(See page(s) 140)
scale factor   The constant factor by which all dimensions of an object are enlarged or reduced in a scale drawing. The dimensions of this rectangle is multiplied by 3 so the scale factor is 3.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p13.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
(See page(s) 132)
similar figures   Figures that have the same shape, but different size. They have equal corresponding angles and proportional corresponding sides.
(See page(s) 147)
simulate   To create a model that reflects a particular situation.
solution (of an inequality)   A value or set of values that result in a true statement. The solution can contain a specific value or many values.
(See page(s) 353)
square root   One of two equal factors of a number. The symbol is R. For example, 9 is the square root of 81 because 9 × 9 is 81.
stratified sample   A sample that is created by dividing the whole population into distinct groups and then choosing the same fraction of members from each group.
subtended  
Lying opposite to. For example, in the figure, the arc AB subtends the angle, <a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p14.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> .
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p15.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
supplementary angles   Angles that add to 180o.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p16.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
surface area   The number of square units needed to cover a 3-D object. The sum of the areas of all the faces of an object.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p17.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a>
(See page(s) 26)
survey   A question or questions asked of a sample of the population to gather opinions.
symmetry   An object or image has symmetry if it is balanced and can fit onto itself either by reflection or rotation.
(See page(s) 5)
systematic sample   A sample created by choosing individuals at fixed intervals from an ordered list of the whole population.
tangent (of a circle)   A line that touches a circle at exactly one point. The line is perpendicular to the radius at that point. The point where the line touches the circle is called the point of tangency.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p18.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
(See page(s) 394)
term   A number or a variable, or the product of numbers and variables. The expression 5x + 3 has two terms: 5x and 3.
(See page(s) 175)
terminating decimal   A decimal number in which the digits stop. 0.4, 0.86, and 0.25 are terminating decimals.
tessellation   A pattern or arrangement that covers an area or plane without overlapping or leaving gaps. Also called a tiling pattern.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p19.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (8.0K)</a>
theoretical probability   The expected probability of an event occurring. The ratio of the number of expected favourable outcomes to the total number of possible outcomes for an event.
transformation   A change in a figure that results in a different position or orientation. Examples are translations, reflections, and rotations.
translation   A slide along a straight line.

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p20.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (5.0K)</a>
trapezoid   A quadrilateral with one pair of parallel sides.

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p21.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
trinomial   A polynomial with three terms. x2 + 3x − 1 is a trinomial.
variable   A letter that represents an unknown number.
vertex   The point where two or more edges of a figure or object meet. The plural is vertices.
<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=gif::::/../../student/9780070973404/olc2/dl/645442/ml9_glossary_p22.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
volume   The amount of space an object occupies. Measured in cubic units.
voluntary response sample   A sample where the whole population is invited to participate.

Student Text Game BLMs


Interested in playing the Math Games in MathLinks 9? Click on the link below to download the materials you need to play the games in Chapter 5.

Chapter 5

MathLinks 9 Chapter 5 Polynomial Game (106.0K)
MathLinks 9 Chapter 5 Polynomial Game (44.0K)



Interested in playing the Math Games in MathLinks 9? Click on the link below to download the materials you need to play the games in Chapter 7.

Chapter 7

BLM 7–13 Chapter 7 Sample Polynomial Puzzle (103.0K)
BLM 7–13 Chapter 7 Sample Polynomial Puzzle (160.0K)



Interested in playing the Math Games in MathLinks 9? Click on the link below to download the materials you need to play the games in Chapter 9.

Chapter 9

BLM 9–14 Inequalities Game Boards (470.0K)
BLM 9–14 Inequalities Game Boards (94.0K)



Interested in playing the Math Games in MathLinks 9? Click on the link below to download the materials you need to play the games in Chapter 10.

Chapter 10

MathLinks 9 Chapter 10 Jeopardy Game (38.0K)
MathLinks 9 Chapter 10 Jeopardy Game (15.0K)






Succeed In Math

Do you want to do better in math? We have some suggestions that will help you.

Tips for Students
Why Studying Math is Different
Take Charge and Take Action
Preparing for Tests

Why Studying Math is Different
  • Reading a math resource is not like reading a novel. You may have to stop and think about some ideas before proceeding.
  • Math is a cumulative subject. If you miss a concept one day, it may come back to haunt you and could even prevent you from understanding concepts you study later. Always get help as soon as you recognize that you have a problem.
  • Build up a network of math partners you can consult if you run into a roadblock. These are the days of easy communication. Telephone, email, and instant messaging are all available. Use them.
Take Charge and Take Action
  • Take responsibility for your own success. If you find that you don’t know or understand something, take whatever steps are necessary to fix the problem. Do not let others distract you from your purpose.
  • Be an active participant in the classroom. Volunteer answers to questions and offer to place solutions on the blackboard. Ask questions immediately when you think you have lost the thread of the lesson.
  • Math is learned by doing problems. Although you need to know some facts and procedures, you get really good at math by working through problems. It’s wise to work on a problem yourself as much as possible. You may need to ask for help at some point, but do not give up too easily. The more you can do on your own, the more your brain will develop and the easier future problems will seem.
  • Problem solving is one of the key skills in the study of math. There are tips for problem solving starting on page xv in the front of MathLinks 9. Your teacher will show you additional strategies that you can use. In short, the steps are:
    • Understand the problem.
    • Plan how to solve it.
    • Do It! Carry out your plan.
    • Look Back. Review how you solved the problem and the answer you received. Does it make sense? If the answer seems unreasonable, it may be necessary to look for errors or select another strategy.
  • Before beginning an assignment, review your class notes. Ensure that you understand the worked examples and the meaning of any new terms. Consider highlighting important concepts, equations, or definitions.
  • As you work on each chapter, use the Foldable™ at the beginning of the chapter to keep track of information from the chapter, including Key Words, examples, Key Ideas, and what you need to work on.
  • If you have completed the assigned problems, but still don’t feel comfortable with the concepts, do a few more. Most teachers will assign about half of the problems in a given exercise. If you run out of Practise questions before you feel comfortable with the concepts, ask the teacher for more. The Student Centre section of the MathLinks 9 Online Learning Centrehas many things to help you.
  • If you find that you need some help or a hint to proceed with the solution to a problem, be careful not to get too much help. You want a coach, not a handout. Once you see where to go, thank your coach. Do not ask for the entire solution. That robs you of an important learning opportunity.
  • Remember that you have not failed at solving a question until you quit. Sometimes it is useful to skip a tricky question after thinking about it for a few minutes and then come back to it later.
  • If there is any reason why you cannot finish your entire math assignment, it is better to do a few problems from each part than to do just the first problems in the assignment.
  • If the homework load is light on a given day, use the extra time to review and practise concepts covered earlier in the course.
  • Allow a few minutes at the end of your math work session to have a look at the next lesson so that you know what is coming up. It is not necessary to work through the lesson, just to get a feeling for what is going to happen in the next math class.
Preparing for Tests
  • If you do your homework conscientiously and work at fixing problems as they occur, then preparing for tests becomes much easier. All you need to do is remind yourself of the concepts that you are going to be tested on and do some sample problems to sharpen your skills.
  • When you get your test, take a minute or two to look it over. You do not have to do #1 first. If you know how to attack #3, then do that one first.
  • Do not get bogged down on a question. If your strategy does not seem to be working and you are stuck for an alternative, go on to another question.
  • Sometimes you will not finish a test in the time allotted. If this seems to be happening, do not panic. Accept that you are not going to finish. Make it your goal to do as many questions as you can before the time runs out.
  • Read each question carefully. Be sure that you answer what is being asked.
  • Show all of your work. If you make an error and arrive at the wrong answer, you will at least get partial marks.
  • If you have time left, use it to verify your answers. You can sometimes work backwards to do this. Alternatively, you can solve the same question a different way. Be sure to check calculations. A slip of the finger on a calculator can easily lead to a wrong answer.
  • Watch out for panic attacks or "freezeups". This occasionally happens to many students on a test. Time may be short, solutions are not going well, and you have an overwhelming sense of panic. The best thing to do is STOP. Turn the test over on your desk. Take several deep breaths, exhaling slowly. Remind yourself that you prepared for this test and that you can do most, probably all, of the questions on it. Then, return to the test, select a question that you can do, and work through it.
  • If panic becomes a serious problem, consider learning one or more relaxation techniques or consulting a counselor for other strategies. Keep in mind that these will not help if the real source of the panic is inadequate preparation for the test.

Tech Links


Use this GSP applet to explore the Tech Link on page 153.
Page 153 Tech Link.gsp (69.0K)


Use this GSP applet as you complete the Explore in the Tech Link on page 385.
Page 385 Tech Link.gsp (70.0K)


Use this GSP applet to explore the Tech Link on page 393.
Page 393 Tech Link.gsp (70.0K)


This GSP applet will assist you with the Explore in the Tech Link on page 403.
Page 403 Tech Link.gsp (69.0K)




To extract the files from the zip folder, a software compression utility is required. A free evaluation version of Winzip is avalaible here.






Web Games


Tetrical

http://www.tetrical.com/
Use your knowledge of surface area to play Tetrical. Visualize how three-dimensional shapes they fit together to minimize surface area maximize your score.
( http://www.tetrical.com/ )
The Factor Game

http://illuminations.nctm.org/ActivityDetail.aspx?ID=12
The Factor Game allows you to brush up on factoring skills needed for a variety of mathematics topics, including fraction operations.
( http://illuminations.nctm.org/ActivityDetail.aspx?ID=12 )
Scaling Jigsaw

http://pbskids.org/cyberchase/games/sizeandscale/sizeandscale.html
This is a variant on the electronic jigsaw puzzle. Each piece must be scaled before it can be added to the puzzle. There is a time limit to determine the correct scale for each piece.
( http://pbskids.org/cyberchase/games/sizeandscale/sizeandscale.html )
Linear Lasers

http://mathforum.org/te/exchange/hosted/linearlasers/
Polish your skills at visualizing linear relations in the context of a game. Given two targets, you must correctly construct the linear equation that will hit both targets.
( http://mathforum.org/te/exchange/hosted/linearlasers/ )
Lunar Lander

http://www.frontiernet.net/~imaging/lunar_lander_game.html
Lunar Lander tests your ability to monitor rates of change while you bring a spacecraft to a safe landing before your fuel runs out. You can land on Earth, the moon, Mars, or Neptune to investigate the effects of different gravitational fields
( http://www.frontiernet.net/~imaging/lunar_lander_game.html )
The Monty Hall Game

http://math.ucsd.edu/~crypto/Monty/monty.html
This game requires you to make a selection then decide whether to switch your selection based on information provided by the computer.
( http://math.ucsd.edu/~crypto/Monty/monty.html )
The Nim Game

http://www.chlond.demon.co.uk/Nim.html
This is one of many versions of the Nim game.
( http://www.chlond.demon.co.uk/Nim.html )
The Chomp Game

http://lpcs.math.msu.su/~pentus/abacus.htm
In an unusual twist, the first step in this selection game requires you to deduce the rules. Once you have done so, you can play the game. Any number can play.
( http://lpcs.math.msu.su/~pentus/abacus.htm )
Logic Puzzles

http://www.math.uwaterloo.ca/navigation/ideas/Zeno/zenologic.shtml
This site offers a variety of classic logic puzzles, such as Who Owns the Zebra.
( http://www.math.uwaterloo.ca/navigation/ideas/Zeno/zenologic.shtml )
Rebus

http://kids.niehs.nih.gov/braintpics.htm
A rebus represents a phrase, such as (head over heels) You can find hundreds of rebus puzzles on this site, ranging from almost obvious to dazzlingly obscure.
( http://kids.niehs.nih.gov/braintpics.htm )
Place-It!

http://www.mathsisfun.com/games/place-it.html
This two-dimensional geometry game tests your spatial sense by requiring you to assemble a square from odd-shaped pieces.
( http://www.mathsisfun.com/games/place-it.html )
Tower of Hanoi

http://www.cut-the-knot.org/recurrence/hanoi.shtml
In this puzzle, a (variable) number of rings are placed in a "tower", largest to smallest. The object is to move the rings, one at a time, onto two additional towers, until all of the rings are on the last tower.
( http://www.cut-the-knot.org/recurrence/hanoi.shtml )
Hammurabi

http://maddrio.com/hammurabi/hammurabi.php
In this game, you are in charge of a kingdom for ten years and must make economic decisions each year of your reign. The objective is to finish your reign with your kingdom in better shape than when you started.
( http://maddrio.com/hammurabi/hammurabi.php )
Awari

http://www.copleys.com/awari.htm
Awari is an ancient game that was played using stones and holes in the ground. The object is to capture the greatest number of stones.
( http://www.copleys.com/awari.htm )
Pentominoes

http://www.math.clemson.edu/~rsimms/java/pentominoes/
Pentominoes a set of shapes, each made up of five squares. The challenge is to completely tile a section of the plane. Pentominoes can be rotated or flipped before being placed.
( http://www.math.clemson.edu/~rsimms/java/pentominoes/ )
The Chaos Game

http://math.bu.edu/DYSYS/applets/chaos-game.html
The Chaos Game makes use of the Sierpinski Triangle and fractals to present a challenging puzzle. There are four levels of difficulty provided.
( http://math.bu.edu/DYSYS/applets/chaos-game.html )
The Game of Life

http://www.math.com/students/wonders/life/life.html
The Game of Life uses biological growth patterns and mathematical patterning to simulate the growth or death of a culture. The object is to create a living system that is able to sustain itself.
( http://www.math.com/students/wonders/life/life.html )
Hex-7

http://www.mazeworks.com/hex7/index.htm
Hex-7 is a strategy game that requires players to build a path across a playing surface made up of hexagons.
( http://www.mazeworks.com/hex7/index.htm )
Hare and Hounds

http://www.math.com/students/puzzles/hare/hare.html
Hare and Hounds is a strategy game popular in 19th century. The hare must elude the hounds and escape. The hounds must trap the hare so that it cannot move.
( http://www.math.com/students/puzzles/hare/hare.html )
Rubik’s Cube

http://www.javaonthebrain.com/java/rubik/
The Rubik’s Cube applet allows you to virtually manipulate a Rubik’s Cube in three dimensions.
( http://www.javaonthebrain.com/java/rubik/ )
Sudoku

http://www.websudoku.com/
Sudoku is a classic numbers game that requires you to complete a puzzle based on the numbers 1 to 9.
( http://www.websudoku.com/ )
The Hydra Game

http://math.andrej.com/2008/02/02/the-hydra-game/
Every variation of this game has a solution. The object is to determine the solution in the least number of steps.
( http://math.andrej.com/2008/02/02/the-hydra-game/ )

Web Links


Body Surface Area Calculator

http://www.ultradrive.com/bsac.htm

This applet calculates the surface area of the human body given a height and mass. The formula can be viewed, and connected to exponents in chapter 3.
( http://www.ultradrive.com/bsac.htm )
Surface Area Formulas

http://math.about.com/library/blmeasurement.htm

Visit this site for a quick summary or review of several useful surface area formulas, complete with detailed labeled diagrams.
( http://math.about.com/library/blmeasurement.htm )
Fraction Calculator

http://www.helpingwithmath.com/resources/cal_fractions.htm

Check your answers to fraction problems. The online calculator can handle improper fractions, mixed numbers and whole numbers. All answers are expressed as mixed numbers in lowest terms.
( http://www.helpingwithmath.com/resources/cal_fractions.htm )
Exponent Laws

http://www.curriculum.org/tcf/teachers/projects/algebra/exponentlaws.adp

This site provides good step-by-step explanations of the product of powers, quotient of powers, and power of a power exponent laws.
( http://www.curriculum.org/tcf/teachers/projects/algebra/exponentlaws.adp )
Visual Scale Factor

http://www.learnalberta.ca/content/mejhm/html/video_interactives/rateRatioProportions/rat...

This is an interactive visual exploration of similar polygons, focusing on scale factors and proportions of sides. You can check your solutions online.
( http://www.learnalberta.ca/content/mejhm/html/video_interactives/rateRatioProportions/rat... )
Polynomial Operations

http://math.about.com/od/polynomials/Polynomial_Help.htm

Need more practice working with polynomials? This site offers review tutorials along with practice adding, subtracting, multiplying and, dividing polynomials. Also available are online practice tests with instant feedback.
( http://math.about.com/od/polynomials/Polynomial_Help.htm )
Pattern Generator

http://www.shodor.org/interactivate/activities/PatternGenerator/?version=1.6.0_13&browser...

Build your pattern recognition skills using this pattern generator. The difficulty level can be selected, and patterns consist of shapes and objects. Drag-and-drop to check your assessment of the pattern.
( http://www.shodor.org/interactivate/activities/PatternGenerator/?version=1.6.0_13&browser... )
Virtual Algebra Tiles

http://my.hrw.com/math06_07/nsmedia/tools/Algebra_Tiles/Algebra_Tiles.html

Practice solving linear equations using virtual algebra tiles. You can choose to solve one-step or two-step equations. You can also work with equations that have variables on both sides.
( http://my.hrw.com/math06_07/nsmedia/tools/Algebra_Tiles/Algebra_Tiles.html )
Solving Linear Inequalities

http://cnx.org/content/m19599/latest/

This site compares solving linear inequalities in one variable to solving linear equations in one variable. Included are worked examples, including applications, and extra practice questions with available answers.
( http://cnx.org/content/m19599/latest/ )
Dynamic Circle Geometry (Inscribed and Central Angles)

http://www.members.shaw.ca/ron.blond/Circle.Geom1.APPLET/index.html

Use this dynamic applet to explore and visualize circle geometry. Investigate the properties of inscribed and central angles by hanging the radius of a circle and by repositioning the circle vertically or horizontally.
( http://www.members.shaw.ca/ron.blond/Circle.Geom1.APPLET/index.html )
Dynamic Circle Geometry (Tangents and Radii)

http://www.members.shaw.ca/ron.blond/Circle.Geom2.APPLET/index.html

Use this dynamic applet to explore and visualize circle geometry. Investigate how tangent lines relate to the radius of a circle.
( http://www.members.shaw.ca/ron.blond/Circle.Geom2.APPLET/index.html )
Elections

http://www.sfu.ca/~aheard/elections/polls.html

This site provides information about Canadian federal election campaigns, the Canadian electoral system, polls, results from past federal elections, and tables of polling results.
( http://www.sfu.ca/~aheard/elections/polls.html )
Statistics: Power from Data (Statistics Canada)

http://www.statcan.gc.ca/edu/power-pouvoir/toc-tdm/5214718-eng.htm

This site is a wonderful resource that addresses issues surrounding data collection, data analysis, and statistics.
( http://www.statcan.gc.ca/edu/power-pouvoir/toc-tdm/5214718-eng.htm )
British Columbia Ministry of Education

http://www.bced.gov.bc.ca/students_ps.htm

The British Columbia Ministry of Education site is an excellent general source for information on education in British Columbia.
( http://www.bced.gov.bc.ca/students_ps.htm )
Alberta Ministry of Education

http://ednet.edc.gov.ab.ca/students/

The Alberta Ministry of Education site is an excellent general source for information on education in Alberta.
( http://ednet.edc.gov.ab.ca/students/ )
Saskatchewan Ministry of Education

http://www.sasked.gov.sk.ca/

The Saskatchewan Ministry of Education site is an excellent general source for information on education in Saskatchewan.
( http://www.sasked.gov.sk.ca/ )
Manitoba Ministry of Education

http://www.edu.gov.mb.ca/

The Manitoba Ministry of Education site is an excellent general source for information on education in Manitoba.
( http://www.edu.gov.mb.ca/ )
Yukon Ministry of Education

http://www.education.gov.yk.ca/

The Yukon Ministry of Education site is an excellent general source for information on education in the Yukon.
( http://www.education.gov.yk.ca/ )
Northwest Territories Ministry of Education

http://www.gov.nt.ca/agendas/education/index.html

The Northwest Territories Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Northwest Territories.
( http://www.gov.nt.ca/agendas/education/index.html )
Nunavut Ministry of Education

http://www.edu.gov.nu.ca/

The Nunavut Ministry of Education site is an excellent general source for policy initiatives, curriculum, division of responsibilities and services, and other information on education in Nunavut.
( http://www.edu.gov.nu.ca/)
Math Central

http://mathcentral.uregina.ca/

Math Central is an Internet service for mathematics teachers and students from kindergarten to grade twelve. Included on the site are a Resource Room containing shared resources and teaching ideas, the Teacher’s Bulletin Board, mathematics projects, a question-and-answer database, and a monthly mathematics problem.
( http://mathcentral.uregina.ca/ )
Intermath Online Mathematics Dictionary

http://intermath.coe.uga.edu/dictnary/homepg.asp

The Intermath Online Mathematics Dictionary is a quick source for definitions of mathematical terms. Math terms are arranged alphabetically, with live hyperlinks for each letter of the alphabet. A search engine is included.
( http://intermath.coe.uga.edu/dictnary/homepg.asp )
Learn Alberta Math Glossary

http://www.ronblond.com/MathGlossary/

This site offers a glossary of mathematical terms organized by grade level. Also offered are interactive applets geared to the Western Protocol mathematics program.
( http://www.ronblond.com/MathGlossary/ )
The Math Forum @ Drexel University

http://mathforum.org/

The Math Forum at Drexel University (Philadelphia, Pennsylvania) is a comprehensive site for students and teachers of mathematics. It includes problems of the week and the popular Ask Dr. Math question-and-answer forum.
( http://mathforum.org/ )
Mudd Math Fun Facts

http://www.math.hmc.edu/funfacts/

This site contains hundreds of interesting mathematics facts useful for adding interest to projects. The facts are organized by topic (algebra, geometry, probability, etc). Famous problems (the Birthday problem, colouring pizza slices, Devil’s staircase, etc) are listed by name.
( http://www.math.hmc.edu/funfacts/ )
Fun Math Lessons

http://math.rice.edu/~lanius/Lessons/

Cynthia Lanius of Rice University (Houston, Texas) has created a number of mathematics lessons with an emphasis on having fun. Try them out.
( http://math.rice.edu/~lanius/Lessons/ )
Figure This! Math Challenges

http://www.figurethis.org/index.html

This site contains a large number of mathematics challenges for you to enjoy and have fun with.
( http://www.figurethis.org/index.html )
Coolmath 4 Kids

http://www.coolmath4kids.com/

The Coolmath site includes interactive math games, puzzles, fractals, geometry, and other interesting activities for students at all levels of mathematics. Note: Because this is a commercially sponsored site, it includes advertising banners.
( http://www.coolmath4kids.com/ )
Interactive Mathematics

http://www.cut-the-knot.org/content.shtml

This interactive site includes games and puzzles. Click on Games and Puzzles in the list on the left.
( http://www.cut-the-knot.org/content.shtml )

Mensa Canada

http://www.canada.mensa.org/

The Mensa Canada site offers a puzzle of the month (often mathematically-based), test questions that often use interesting patterns, and links to Mensa groups in other countries.
( http://www.canada.mensa.org/ )
Homework Help

http://www.math.com/students/homeworkhelp.html

Need some help with your homework? This site offers worked examples, interactive self-quizzes, study tips, and test preparation, all organized by topics such as number sense, fractions, algebra, geometry, etc.
( http://www.math.com/students/homeworkhelp.html )
Fermi Problems

http://mathforum.org/workshops/sum96/interdisc/sheila1.html

Looking for a fun way to practice estimation and real-world math? This library includes an explanation of what constitutes a Fermi problem, a short biography of Enrico Fermi, several worked examples, and a number of simple yet challenging Fermi questions.
( http://mathforum.org/workshops/sum96/interdisc/sheila1.html )
Career Profiles

http://www.maa.org/careers/

This site links to career profiles of people who use mathematics in their jobs every day. Included are short biographies, educational qualifications, and practical uses for mathematics in the career.
(http://www.maa.org/careers/ )

Math is Fun

http://www.mathisfun.com/

This is a general site for all things mathematical. It includes games, puzzles, quizzes, worksheets, self-tests, nets for polyhedra, and many other items.
( http://www.mathisfun.com/ )
MATHguide

http://www.mathguide.com/

This site contains several resources for students, including the use of calculators, project ideas, and math puzzles.
( http://www.mathguide.com/ )
Mathematrix

http://home.adelphi.edu/~stemkoski/mathematrix/index.html

Mathematrix explores mathematical recreation and draws from some of the lesser-known areas of mathematics. The activities are fun and interesting to anyone who enjoys puzzles and games.
( http://home.adelphi.edu/~stemkoski/mathematrix/index.html )
A Dictionary of Units of Measurement

http://www.unc.edu/~rowlett/units/

If you need a quick definition of any unit of measurement, or information on unit conversion, visit this site. Included are English, SI, and lesser-known measurement systems.
( http://www.unc.edu/~rowlett/units/ )
Wolfram MathWorld

http://mathworld.wolfram.com/

Wolfram MathWorld is an extensive general mathematics site for the serious learner. It includes interactive demonstrations, 3-D applets, worked examples, history of mathematics, terminology, and a wealth of other information.
( http://mathworld.wolfram.com/ )
Math TV

http://www.mathtv.com/

The Math TV site offers free video tutorials on a wide variety of math topics, including linear equations, exponents, polynomials, and inequalities.
( http://www.mathtv.com/ )
Calculator Tutorials

http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html

Texas Instruments offers a comprehensive set of video tutorials for the TI-83/84 Plus family, the TI-89/89T family, the TI-NspireTM and the TI-NspireTM CAS.
( http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html )
Select Math

http://www.boston.k12.ma.us/teach/technology/select/index.html

Students can use virtual manipulatives to explore concepts related to algebra (Algebra Alignments, Algebra II Alignments) and geometry (Geometry Alignments). Follow the links under Resources for access to other useful sites.
( http://www.boston.k12.ma.us/teach/technology/select/index.html )

Student Book

Front Matter Student Book

Student Book (PDF)

Chapter 1 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 10
Examples of symmetry in art


Library and Archives Canada
Features The World Around Me by Inuit artist Kenojuak Ashevak
( http://www.collectionscanada.gc.ca/women/002026-502-e.html )
Thunder Bay Art Gallery
Features Métis beadwork by Métis artist Christi Belcourt.
( http://www.belcourt.net/Artist/Print_Press/CB_lessons.html )
The Textile Museum & The Math Forum @ Drexel
Provides information about symmetry and pattern in oriental carpets. At the bottom of the screen, click on Rug Gallery.
( http://mathforum.org/geometry/rugs/symmetry/ )
AG.com, Inc.
Features digital art.
( http://entertainment.webshots.com/album/280836615iSSBNW )
TR page 13
Symmetry and the Taj Mahal


AdrianBruce.com
Features symmetry at the Taj Mahal.
( http://www.adrianbruce.com/Symmetry/taj_mahal.htm )
Armchair Travel Co. Ltd.
Features the arches and symmetry at the Taj Mahal.
( http://www.taj-mahal.net/augEng/textMM/archesengN.htm )
TR page 17
Examples of symmetry in mandalas, Inuit and Aboriginal art, and First Nations flags


The Mandala Project
Features an online gallery of mandala art.
( http://www.mandalaproject.org/Mandalas/index_new.html )
Dorset Fine Arts
Features an online gallery that includes Inuit art with symmetry.
( http://www.dorsetfinearts.com/ )
Changing Tide Creations
Features an online art gallery of the totems, carvings, and masks of First Nations artist Troy Roberts.
( http://www.changingtidecreations.com/gallery.htm )
Flags of the World
Features First Nations, Inuit, and Métis flags, including flags with symmetry. Click on the links.
( http://www.crwflags.com/fotw/flags/ca-fnat.html )
TR page 26
Find out more about Cree syllabics


Grant Neufield
Provides a Cree syllabics table.
( http://www.nisto.com/cree/syllabic/ )
Saskatchewan Indian Cultural Centre
Provides a Cree syllabics table.
( http://www.sicc.sk.ca/heritage/sils/ourlanguages/plains/soundsystem/creesyllabics.html )
creedictionary.com
Features include an online Cree dictionary.
( http://www.creedictionary.com )

Brain Teaser

Number

Surface Area (cm2)

1 cm

16

16

2 cm

9

36

3 cm

4

36

4 cm

1

16

Total Surface Area:

104

The total surface area is 104 cm2.

'); }

Chapter 1 Symmetry and Surface Area

Squares Everywhere

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image002.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
What is the sum of the surface areas of all of the squares?

The side length of the smallest squares measures 1 cm.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Tessellate Hexagons (2 Players)

Materials Needed:
• scissors
BLM: Tessellate Hexagons Game Board (36.0K)
BLM: Tessellate Hexagons (37.0K)

1. Print a copy of BLM: Tessellate Hexagons Game Board. Then, print and cut out the hexagons on a copy of BLM: Tessellate Hexagons.

2. Pairs of players choose either a set of lightly shaded or darkly shaded hexagons.

3. Player 1 places a hexagon anywhere on the game board so that its vertices line up with six dots.

4. Player 2 places a hexagon anywhere on the game board so that it tessellates with the first hexagon. This means that there are no overlaps or gaps.
Player 2 records a score that is equal to the product of the values on the added hexagon and the values on any hexagons it touches.

5. Play continues until neither player can add a hexagon.

6. The winner is the player with the highest cumulative score.

Web Links


SE page 2
Sampling of different places where symmetry can be found


AdrianBruce.com

Provides links to examples of line and rotation symmetry and includes animations and activities.
( http://www.adrianbruce.com/Symmetry )
SE page 10
Explore symmetry


National Council of Teachers of Mathematics

Investigate mathematical properties of reflection or mirror symmetry. Provides links to lessons for describing reflections, relationships between reflections and symmetry, and reflections across two mirror lines.
( http://illuminations.nctm.org/LessonDetail.aspx?id=U139 )
SE page 19
Examples of rotation symmetry
MathIsFun.com
Provides real world examples of rotation symmetry.
( http://www.mathsisfun.com/geometry/symmetry-rotational.html )







SE page 30
Information about how to calculate the surface area of different shapes


Math.com

Provides surface area formula for cube, prism, sphere, and cylinder.
( http://www.math.com/tables/geometry/surfareas.htm )
SE page 32
Explore how surface area changes when a composite object is broken apart


NC State University

Use the animation to explore how the surface area of soil changes.
( http://courses.soil.ncsu.edu/resources/physics/texture/soilgeo.swf )

Student Book

Chapter 2 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 62
Research statistics about the number of First Nations people who live on and off reserves


Statistics Canada
Features include demographics about Aboriginal peoples. Under Find statistics, click on By subject and then on Aboriginal peoples. Select form Subtopics or Featured Products for information about the population profile.
( http://www.statcan.gc.ca/start-debut-eng.html )
TR page 65
Interactive activity to determine a fraction with a value between two fractions on a number line


Shodor Education Foundation, Inc.
Use the interactive activity to determine a fraction with a value between two fractions on a number line.
( http://www.shodor.org/interactivate/activities/FractionPointer/ )
TR page 80
Share prices and information about share prices and investment decisions


ShareWatch Ltd.
Features include market activity on international stock exchanges and news about investments.
( http://www.sharewatch.com/ )
TMXmoney.com
Features include market activity on the Toronto Stock Exchange and news about the stock market and investments.
( http://www.tsx.com/ )
About.com
Provides basic information about share price and investing strategies.
( http://beginnersinvest.about.com/cs/investing101/a/012903a.htm )
TR page 85
Data on Summer and Winter Olympics events


DatabaseSports.com
Provides a database of the Summer and Winter Olympics and links to each Olympics, athletes, country, and sports events.
( http://www.databaseolympics.com/ )
TR page 85
Research Aboriginal athletes and Aboriginal sports events


The Vancouver Organizing Committee for the 2010 Olympic and Paralympic Winter Games
Provides information about the First Nations Snowboard Team founded by Aaron Marchant of the Squamish Nation.
( http://www.vancouver2010.com/en/sustainability-and-aboriginal-parti/aboriginal-participat... )
NBC Universal
Features the biography and achievements of Monica Pinette, a Métis pentathlete who competed in the 2004 and 2008 Olympics.
( http://www.nbcolympics.com/athletes/athlete=1244/bio/ )
Cowichan 2008 North American Indigenous Games
Official site of the North American Indigenous Games in 2008.
( http://www.cowichan2008.com/ )
Wikipedia®
Provides information about the North American Indigenous Games.
( http://en.wikipedia.org/wiki/North_American_Indigenous_Games )
Arctic Winter Games International Committee
Provides information about the Arctic Winter Games for northern and Arctic athletes. From Website Links on the menu, click on Arctic Sport and Dene Games Records for records and athletes.
( http://www.arcticwintergames.com )
TR page 90
Practise adding and subtracting rational numbers in fractional form


National Library of Virtual Manipulatives
Use the interactive activity to practise adding rational numbers in fractional form.
( http://nlvm.usu.edu/en/nav/frames_asid_106_g_4_t_1.html?from=applets/controller/query/que... )
Shodor
Use the interactive activity to practise adding and subtracting rational numbers in fractional form.
( http://www.shodor.org/interactivate/activities/FractionQuiz/ )
TR page 90
Practise multiplying and dividing rational numbers in fractional form


Explorelearning
Use the interactive activities to practise multiplying and dividing rational numbers in fractional form. Click on Launch Gizmo for Multiplying Fractions, Dividing Fractions. Multiplying Mixed Numbers, and Dividing Mixed Numbers.
( http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=... )
National Library of Virtual Manipulatives
Use the interactive activity for enrichment involving multiplication of rational numbers in fractional form.
( http://nlvm.usu.edu/en/nav/frames_asid_314_g_4_t_1.html?from=applets/controller/query/que... )
TR page 99
Research the Great Pyramid of Giza


Gizapyramid.com
Provides information about the Great Pyramid of Giza. Click on General Articles and then choose from the titles that appear.
( http://www.gizapyramid.com/ )
Mark Millmore
Provides information about the Great Pyramid of Giza.
( http://www.discoveringegypt.com/pyramid3.htm )
InterCity Oz, Inc.
Provides information about the Great Pyramid of Giza.
( http://www.touregypt.net/featurestories/greatpyramid1.htm )

Brain Teaser

Chapter 2 Rational Numbers

Oasis

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image004.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
Twenty caravans are travelling across the desert one day apart. The first caravan reached an oasis, and the camels drank half of the water in the pool. On the second day, the second caravan reached the oasis, and the camels drank one-third of the water that was left. On the third day, the camels in the third caravan drank one-quarter of the water that was left. On the first day, the pool contained 1050 m3 of water. How much was left after the 20th caravan passed through?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Compare Ratios (2 or 4 Players)

Materials Needed:
• deck of playing cards
• one six-sided die

1. Remove the kings from the deck of cards.
• Aces count as 1s, jacks count as 11s, and queens count as 12s.
• Other cards represent their face numbers.

2. Deal all of the cards equally to each player.

3. Each player rolls one die to decide who will play first. The player with the highest roll goes first. If there is a tie, roll again.

4. The first player rolls the die. Each player looks for cards that form a fraction closest to the number on the die. The player that has the closest ratio places the two cards that form the ratio on the table. In the case of a tie, all tied players place their cards on the table.

Example: The number 4 is rolled. Ray has a queen and a 3 in his hand. This is the ratio 12 : 3. He puts the queen and the 3 on the table.

5. The other players check that the ratios on the table are correct.

6. Play moves to the next player.

7. The winner is the player who has no cards left.

Web Links


SE page 42
Information about board games invented by Canadians


Wayne Kelly and Mr. Crokinole™

Lists frequently asked questions and answers about crokinole.
( http://www.crokinole.com/faq.asp )
Wikipedia®

Provides information about crokinole. From the Contents list, click on the links to Equipment, Gameplay, and History.
( http://en.wikipedia.org/wiki/Crokinole )
About.com

Provides information about Trivial Pursuit, a game about general knowledge and popular culture.
( http://inventors.about.com/library/inventors/bl_trivia_pursuit.htm )
Wikipedia®

Provides information about Trivial Pursuit. From the Contents list, click on the links to Gameplay and Editions.
( http://en.wikipedia.org/wiki/Trivial_Pursuit )
Central Connector

Provides information about Balderdash, a game of bluffing and trivia.
( http://www.centralconnector.com/GAMES/balderdash.html )
Wikipedia®

Provides information about Balderdash. From the Contents list, click on the links to Gameplay and Versions.
( http://en.wikipedia.org/wiki/Balderdash )
High Game Enterprises

Provides information about Scruples, a game about ethical dilemmas.
( http://www.scruplesgame.com/main.html )
Wikipedia®

Provides information about Scruples.
( http://en.wikipedia.org/wiki/Scruples_%28game%29 )
BBC©MMIX

Provides information about Yahtzee, a dice game.
( http://www.bbc.co.uk/dna/h2g2/A3795663 )
Wikipedia®

Provides information about Yahtzee. From the Contents list, click on the links to Rules overview and History.
( http://en.wikipedia.org/wiki/Yahtzee )
SE page 49
Practise comparing and ordering solving rational numbers


ExploreLearning

Use the simulation to compare and order a rational number using an area model. Click on Launch Gizmo.
( http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=300 )
SE page 53
Learn about Neil Bartlett and research Canadian scientific discoveries


UC Berkeley

Provides information about Neil Bartlett.
( http://berkeley.edu/news/media/releases/2008/08/12_bartlett.shtml )
Wikipedia®

Provides information about Neil Bartlett. From the Contents list, click on the links to Biography, Research, and Honors.
( http://en.wikipedia.org/wiki/Neil_Bartlett )
GCS Research Society

Provides information about Canada’s greatest scientists and their achievements. Includes scientist profiles, science-based activities, and links to Canadian science-related web sites.
( http://www.science.ca )
Canada Science and Technology Museum

Provides information and links to Canadian scientists, engineers, and innovators.
( http://www.sciencetech.technomuses.ca/english/about/hallfame/u_main_e.cfm )
SE page 61
Prices of gas in Calgary, AB


GasBuddy Organization Inc.

Post and view recent retail gas prices in Calgary, AB.
( http://www.calgarygasprices.com/ )
SE page 62
Information about Nunavut


Government of Nunavut

Provides information about Nunavut.
( http://www.gov.nu.ca/ )
Wikipedia®

Provides information about Nunavut. From the Contents list, click on the links to Geography, History, Demographics, Economy, and People from Nunavut.
( http://en.wikipedia.org/wiki/Nunavut )
SE page 63
Learn about Cindy Klassen and other Canadian speed skaters


Cindy Klassen: Official Site

Provides a biography of Cindi Klassen.
( http://www.cindyklassen.com)
Wikipedia®

Provides information about Cindy Klassen. From the Contents list, click on the links to Speed skating career and Results.
( http://en.wikipedia.org/wiki/Cindy_Klassen )
Speed Skating Canada

Provides information about Canadian speed skating records. Click on the links to Long Track and Short Track.
(http://www.speedskating.ca/results-ranking-and-records )
Wikipedia®

Provides information about Canadian speed skaters. Click on the links to individual speed skaters.
( http://en.wikipedia.org/wiki/Category:Canadian_speed_skaters )
SE page 81
Information about Heron of Alexandria


Technology Museum of Thessaloniki

Provides information about Heron of Alexandria.
( http://www.tmth.edu.gr/en/aet/5/55.html )
Wikipedia®

Provides information about Heron of Alexandria. From the Contents list, click on the links to Background, Career, Inventions and achievements, and Mathematics.
( http://en.wikipedia.org/wiki/Hero_of_Alexandria )
SE page 81
Learn about Sudoku puzzles


SudokuCentral.com

Provides information about the rules and history of Sudoku and strategies for solving, and includes online Sudoku puzzles.
( http://www.sudokucentral.com/what-is-sudoku )
Wikipedia®

Provides information about Sudoku puzzles. From the Contents list, click on the links to History and Mathematics of Sudoku.
( http://en.wikipedia.org/wiki/Sudoku )

Student Book

Chapter 3 Student Book

Student Book (PDF)

Brain Teaser

Chapter 3 Powers and Exponents

Exponent Power

You have four 3’s. Develop an expression using all four 3’s that is as large as possible when evaluated.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Power Roll (Any Number of Players)

Materials Needed:
• scissors
• two six-sided dice
BLM: Power Roll Cards (26.0K)

1. Print and cut out the cards on BLM: Power Roll Cards. Shuffle the cards.

2. Before playing the game, players decide whether to play for a certain length of time or for a certain number of rounds.

3. Each player rolls one die to decide who will play first. The player with the highest roll goes first. If there is a tie, roll again.

4. The first player draws a card from the pile and rolls the dice. The objective is to use one rolled number as the base and the other rolled number as the exponent to form a power that is equal to the number on the card. Each player gets 10 rolls to achieve this. Use the table to determine the scores.

Number of Rolls Score
1 10
2 9
3 8
4 7
5 6
6 5
7 4
8 3
9 2
10 1

Example: Sara’s card is 32. She rolls a 2 and a 5 on the fifth roll to form 25. Her score is 6 points.

5. Once a player forms an equivalent power or uses up all 10 rolls, play passes to the next player.

6. Play continues for as long as players wish. The winner is the player with the highest score.

Web Links


SE page 91
Learn about mobiles and how to create mobiles


National Gallery of Art, Washington
Use the virtual mobile maker to create a mobile, balance it, and view it in motion.
( http://www.nga.gov/education/classroom/interactive/mobile.htm )
Zack Booth Simpson
Provides information about mobiles. Use the virtual mobile maker to create a mobile using beams and balls.
( http://www.mathcats.com/explore/virtual/mobile.html )
SE page 114
Information about the mountain pine beetle


Parks Canada
Provides information about the mountain pine beetle. From the list on the left, click on the links to Beetlemania, All about the beetle, Battle in the bark, History, Management, and Research.
( http://www.pc.gc.ca/docs/v-g/dpp-mpb/index_e.asp )
Province of British Columbia
Provides information about the mountain pine beetle in BC. From the list, click on the links to Responding to the epidemic, Beetle biology, Contributing factors, and Infestation information.
( http://www.for.gov.bc.ca/hfp/mountain_pine_beetle/facts.htm )
Government of Alberta
Lists frequently asked questions about the mountain pine beetle.
( http://www.srd.gov.ab.ca/forests/health/pestalerts/mpbfaq.aspx )

Student Book

Chapter 4 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 182
Information about Iqaluit architect Keith Irving and his design for the Nunavut legislative building


Nortext Publishing Corporation
Provides a news article about the Nunavut legislative building and its architects.
( www.nunatsiaq.com/archives/nunavut990528/nvt90507_13.html )
Qikiqtaaluk Information Technology Corporation
Provides information about the Nunavut legislative building including photos.
( http://www.nunanet.com/~thencc/ledge.htm )
Wikipedia®
Provides information about the Nunavut legislative building.
( http://en.wikipedia.org/wiki/Legislative_Building_of_Nunavut )
TR page 201
Lesson designed to explore the relationship between scale factor and surface area and volume


National Council of Teachers of Mathematics
Provides a lesson and links to applets. Measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions. Then, compare the surface area and volume of the original object and the enlarged model.
( http://illuminations.nctm.org/LessonDetail.aspx?id=L584 )
TR page 201
Lessons designed to explore ratio, proportion, scale factor, and similarity using perimeter, area, volume, and surface area of various rectangular shapes


National Council of Teachers of Mathematics
Provides four lessons and links to applets. Compare the perimeter and area ratios of similar rectangles with various scale factors. Explore the relationship between the volumes of two similar rectangular prisms. Explore the connection between the surface areas of two similar rectangular prisms.
( http://illuminations.nctm.org/LessonDetail.aspx?id=U98 )
TR page 209
Open-source freeware paint programs


dotPDN LLC & Rick Brewster
Download free image and photo editing software.
( http://www.getpaint.net/ )
Free Downloads Center
Download free image and photo editing software.
( http://www.freedownloadscenter.com/Search/paint_s2.html )
TR page 209
Explore similar and congruent triangles


Argyll Home Education Services Centre: This site was developed by Jim Reed.
Provides a lesson and interactive tools to explore different conditions for similarity of triangles.
( http://argyll.epsb.ca/jreed/math9/strand3/triangle_congruent.htm )
TR page 215
Explore properties of similar polygons


Math Open Reference: This site was developed by John Page.
Provides information about the properties of similar triangles and polygons, including similar polygons that are rotations and reflections. Use the interactive tool to demonstrate similar triangles.
( http://www.mathopenref.com/similarpolygons.html )
TR page 215
Explore fractals and self-similarity


Cynthia Lanius
Provides a lesson and links to activities and animations related to self-similarity of fractals.
( http://math.rice.edu/~lanius/fractals/self.html )
TR page 233
Fold a piece of paper more than seven or eight times


The Historical Society of Pomona Valley, Inc.
Explains how the paper folding problem was solved and includes a formula that can be used to calculate the number of times that a piece of paper can be folded, given its size and thickness.
( http://www.pomonahistorical.org/12times.htm )

Brain Teaser

Chapter 4 Scale Factors and Similarity

Pong Soccer

Rachel held out a soccer ball and a ping pong ball from the window of a tall building such that their centres were at the same level. She dropped both balls at the same time and each fell straight down. Which ball will travel the farthest distance before hitting the ground?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Similarity Challenge (1 Dealer and 2 Players)

Materials Needed:
• scissors
• opaque paper bag
BLM Similarity Challenge Strips (38.0K)

1. Print and cut out the strips of varying lengths on BLM: Similarity Challenge Strips. Cut only on the solid lines; do not cut on the dotted lines.

2. Place the strips in a paper bag. Without looking at the contents of the bag, the dealer hands out eight strips to each player.

3. Each player constructs two similar figures using a scale factor other than 1. The similar figures may be triangles, quadrilaterals, or any other polygons.

4. If neither player can construct similar figures with the strips dealt, the dealer hands out two more strips to each player. Dealing continues until a player can construct similar figures. The successful player’s score is equal to 2n, where n equals the number of sides on each figure.

5. Return all strips to the bag and rotate play to a new dealer.

6. Play continues for at least two complete rounds of play. The winner is the player with the highest score.

Web Links


SE page 126
Information about Douglas Cardinal and his designs


Canadian Museum of Civilization

Provides information about Douglas Cardinal and his designs, and a full tour of the Canadian Museum of Civilization, including a slide show and video clips.
http://www.civilization.ca/cmc/exhibitions/cmc/architecture/tour09e.shtml( )
Douglas Cardinal Architect Inc.

Provides biographical information about Douglas Cardinal and includes his portfolio and a slide show of his designs.
( http://www.djcarchitect.com/ )
The Canadian Encyclopedia

Provides information about Douglas Cardinal and photos of his designs.
( http://www.thecanadianencyclopedia.com/index.cfm?PgNm=TCE&Params=A1ARTA0001394 )
SE page 136
Explore enlargements and reductions of images graphically, numerically, or using a scale factor


The Concord Consortium

Use the virtual proportioner to manipulate images and compare their dimensions to the dimensions of other images.
( http://seeingmath.concord.org/resources_files/Proportioner.html )
SE page 148
Learn about properties of similar triangles


Math Open Reference: This site was developed by John Page.

Provides information about the properties of similar triangles, including similar triangles that are rotations and reflections. Use the interactive tool to demonstrate similar triangles.
( http://www.mathopenref.com/similartriangles.html )
SE page 155
Learn about properties of similar polygons


Math Open Reference: This site was developed by John Page.

Provides information about the properties of similar triangles and polygons, including similar polygons that are rotations and reflections. Use the interactive tool to demonstrate similar triangles.
( http://www.mathopenref.com/similarpolygons.html )
SE page 157
Explore the changes when you manipulate two similar figures and vary the scale factor


ExploreLearning

Use the simulation to manipulate two similar polygons and vary the scale factor to see what changes are possible. Click on Launch Gizmo.
( http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=195 )

Student Book

Chapter 5 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 287
Learn about the role of polynomials in finding new prime numbers


Wordpress.com
Develops the role of polynomials in generating prime numbers.
( http://foxmath.wordpress.com/2008/04/01/prime-polynomials )
Wolfram Research, Inc.
Provides information about prime-generating polynomials.
( http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html )
TR page 287
Learn about the role of prime numbers in encryption


Accounting Technology Advisor
Explains how encryption works.
( http://www.cpaadvisor.us/sub/8_encryption.htm )
Berkeley Math Circle
Explains the role of prime numbers in encryption.
( http://mathcircle.berkeley.edu/BMC3/rsa/node4.html )
TR page 287
Learn about the role of security and privacy issues on the Internet


CXO Media Inc.
Summarizes key findings from a survey of security and data privacy professionals about encryption.
( http://www.csoonline.com/article/214971/What_Security_Professionals_Think_about_Encryption )
CryptographyWorld.com
Provides the basics about cryptography and links to resources to apply and implement cryptographic solutions.
( http://www.cryptographyworld.com )
Wikipedia®
Provides information and links about encryption.
( http://en.wikipedia.org/wiki/Encryption )

Brain Teaser

Chapter 5 Introduction to Polynomials

Polly Wolly Doodle

Each of the letters a, b, c and d represents a single digit from 0 to 9.

If cd – ab = bb, determine a possible value for each letter.

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Polynomial Sum or Difference (2 to 4 Players)

Materials Needed:
• scissors
BLM Sum or Difference Cards (41.0K)

1. Print and cut out the cards on BLM: Sum or Difference Cards.

2. Shuffle the cards and deal eight cards to each player. Place the rest face-down in a pile.

3. Players inspect and arrange their cards. The object is to find groups of three expressions that are related by addition or subtraction.

Examples: 2x + 3x = 5x or 8y – 3y = 5y

Note: A wild card may be substituted for any term.

4. The first player places any three cards that are related as explained in step 3 on the table. If there are cards remaining in his or her hand, the player draws a card from the pile and the turn is over.

5. Play passes to the next player. Play ends when
• all of the cards have been drawn from the pile, or
• a player is able to place all of his or her cards on the table

6. Each player's score is 20 – n, where n is the number of cards remaining in the player’s hand. The winner is the player with the highest score.

Web Links


SE page 170
Find at least 8 faces in the optical illusion


National Institute of Environmental Health Sciences

Find at least 8 faces in the optical illusion.
( http://kids.niehs.nih.gov/illusion/illusions21.htm )
SE page 173
Try number puzzles


Mathematical Interactivities: This site was developed by David Hellam.

Use the interactive tool to try number puzzles.
( http://mathematics.hellam.net/maths2000/thinkno1.html )
SE page 175
Information about the history of algebra


mathsisgoodforyou.com: This site was developed by Dr. Snezana Lawrence.

Provides information about the origin of the term algebra and al-Kwarizmi. Click on the link to al-Kwarizmi for biographical information.
( http://www.mathsisgoodforyou.com/topicsPages/algebra/name.htm )
Algebra.com

Provides information about the history of algebra. Click on the link to al-Kwarizmi to learn about his contributions to algebra.
( http://www.algebra.com/algebra/about/history/ )
SE page 177
Practise using virtual algebra tiles


Holt, Rinehart and Winston

Practise using virtual algebra tiles to model polynomials.
( http://my.hrw.com/math06_07/nsmedia/tools/Algebra_Tiles/Algebra_Tiles.html )
SE page 182
Information about the Ironman Canada Triathlon and about the history of the Ironman competition


North America Sports

Provides information about the Ironman Canada Triathlon. Click on Information and then on Race history.
( http://www.ironman.ca/ )
Wikipedia®

Provides information about the Ironman Triathlon organized by the World Triathlon Corporation. From the Contents list, click on History and Today.
( http://en.wikipedia.org/wiki/Ironman_Triathlon )
SE page 186
Learn about the parts of a polynomial and combining like terms


Purplemath: This site was developed by Elizabeth Stapel.

Explains the basics of a typical polynomial. Click on Combining “like terms” for an explanation.
( http://www.purplemath.com/modules/polydefs.htm )
West Texas A & M University: This site was developed by Kim Seward.

Defines term, coefficient, constant term, and polynomial, and explains monomials, binomials, and trinomials. Examples show how to find the degree of a given term. Scroll down to Combining Like Terms to learn how to combine like terms.
( http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut27_addpoly.htm )
SE page 194
Learn about adding and subtracting polynomials


West Texas A & M University: This site was developed by Kim Seward.

Provides a lesson about adding and subtracting polynomials. Scroll down to Adding Polynomials and to Subtracting Polynomials. Then, scroll down to Practice Problems 3a – 3b.
( http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut27_addpoly.htm )
Regentsprep.org: This site was developed by Donna Roberts.

Provides a lesson on adding and subtracting polynomials and practice problems. Also, demonstrates using algebra tiles to model solutions. Click on the links in the list of Resource Titles.
(http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/indexAV2.htm )



Purplemath: This site was developed by Elizabeth Stapel.

Provides a lesson on adding polynomials. At the top of the page, click on Subtracting polynomials for a lesson on subtracting polynomials.
( http://www.purplemath.com/modules/polyadd.htm )

Student Book

Chapter 6 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 294
Information about an international sailboat race called the America’s Cup


americascup.com
Provides information about the America’s Cup an international sailboat race.
( http://www.americascup.com/en/index.php )
TR page 296
Games to practise graphing coordinate pairs


Shodor Education Foundation, Inc.
Play games to practise plotting skills on a coordinate plane. Scroll down and click on the links to Coordinates Game and Maze Game.
( http://www.shodor.org/interactivate/lessons/GraphingCoordinate/ )
National Council of Teachers of Mathematics
Use the interactive tool to enter a set of data, plot the data on a coordinate grid, and determine the equation for a line of best fit.
( http://illuminations.nctm.org/ActivityDetail.aspx?ID=146 )
TR page 296
Information on Bluenose including its history and tradition


Province of Nova Scotia
Provides information on Bluenose including its history, tradition, and a video of its final race. Click on the links below Chapter Index.
( http://www.gov.ns.ca/nsarm/virtual/bluenose/ )
CBC/Radio Canada
Provides an archival video about Bluenose II.
( http://archives.cbc.ca/society/celebrations/clips/1118/ )
Province of Nova Scotia
Provides information on Bluenose II.
( http://museum.gov.ns.ca/bluenose/index.htm )
TR page 313
Graphing application corresponding to the cost of DVD rentals


National Council of Teachers of Mathematics
Provides a lesson about plotting data points corresponding to the cost of DVD rentals and interpreting the results.
( http://illuminations.nctm.org/LessonDetail.aspx?id=L629 )
TR page 323
Instructions and alternative resources for graphing software


Clemson University
Demonstrates using Microsoft® Excel to enter data onto a worksheet and plot the data.
( http://phoenix.phys.clemson.edu/tutorials/excel/graph.html )
The Math Forum @ Drexel
Demonstrates using Claris Works to enter data into a spreadsheet and plot the data.
( http://mathforum.org/alejandre/linear.graph.html )
TR page 327
Tutorial on using graphing calculators


MathBits.com
Demonstrates using a TI-83 +/ 84 graphing calculator to solve algebraic equations and plot the data on a graph. View Example 1.
( http://www.mathbits.com/MathBits/TISection/Algebra1/SolveEquations.htm )
TR page 334
Canoe trip planning information


CCR Inc.
Provides a database of Canadian canoe routes and meals and recipes.
( http://myccr.com/ )
Canada Wilderness.com®
Provides information on canoe trips. Click on the map and then on each operator’s link for information on canoe trips.
( http://www.canadawilderness.com/canoeing_kayaking.htm )

Brain Teaser

Chapter 6 Linear Relations

Pattern Puzzle

Each row in this table of numbers uses the same pattern.

What is the missing number?

12

4

9

8

2

12

24

12

6

18

3

x


Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Three Card Line (2 or 4 Players)

Materials Needed:
• deck of playing cards
• timer

1. Remove the face cards from the deck of cards, such that only the ace through 10 of each suit remains.
• Aces count as 1s.
• Red cards are positive.
• Black cards are negative.

2. Take turns dealing the cards. Shuffle the cards and place them face down in a pile.

3. Player 1 draws three cards. Using the equation y = ax + b, let the first card represent the value of a, the second card represent the value of x, and the third card represent the value of b.
Player 2 starts the timer. Player 1 has 10 s to determine the value of y using the values of the three cards. If the y value is correct, the player is awarded 1 point.

4. Play moves to the next player.

5. Play ends when there are less than three cards in the pile. The winner is the player with the highest score.

Web Links


SE page 209
Information about supertankers and other oil tankers





Wikipedia®

Provides information about oil tankers, including photos and diagrams.
( http://en.wikipedia.org/wiki/Oil_tanker )
SE page 230
Learn about the Intertropical Convergence Zone (ITCZ)


NASA

Provides information about the ITCZ, including a photo.
( http://earthobservatory.nasa.gov/IOTD/view.php?id=703 )
University of South Carolina: Site developed by Greg Carbone.

Animation shows how the seasonal migration of the ITCZ in Africa affects seasonal precipitation patterns.
( http://people.cas.sc.edu/carbone/modules/mods4car/africa-itcz/index.html )
Wikipedia®

Provides information about the ITCZ. From the Contents list, click on the links to Position and Effects on weather.
( http://en.wikipedia.org/wiki/Intertropical_convergence_zone )
SE page 239
Practice matching graphs and linear equations


Quia Web

Match the linear graphs to their equations by clicking one item and then clicking its corresponding match. If the match is correct, the two items will be turned over. If the match is incorrect, the two items will remain the same.
( http://www.quia.com/mc/276756.html )
SE page 241
Learn about using a graphing calculator to enter data on a table and plot the data on a graph


BLM 6–9 Method 3: Use a Graphing Calculator

Demonstrates using a graphing calculator to enter data on a table and plot the data on a graph.
( ../../school/secondary/mathlinks/docs/mhr_ml9_se_BLM_6_9.pdf )
MathBits.com

Demonstrates using a TI-83 +/ 84 graphing calculator to solve algebraic equations and plot the data on a graph. View Example 1.
( http://www.mathbits.com/MathBits/TISection/Algebra1/SolveEquations.htm )
SE page 248
Information about hot-air balloon records


Fédération Aéronautique Internationale

Provides information about current balloon records including altitude, distance, duration, and shortest time around the world. Scroll down to Current Balloon Records and click on List of Absolute Records.
( http://records.fai.org/balloons/ )

Student Book

Chapter 7 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 350
Collaborative online mind-mapping tools


MindMeister
Features an online mind mapping tool.
( http://www.mindmeister.com/ )
Expert Software Applications
Features an online mind mapping tool.
( http://www.mindomo.com/ )
TR page 367
Information about the Canadian Jeux de la Francophonie


Les Jeux de la Francophonie Canadienne
Provides updates about the Canadian Jeux de la Francophonie.
( http://www.jeuxfc.ca/english )

Brain Teaser

Chapter 7 Multiplying and Dividing Polynomials

Magic Polynomials

A polynomial consists of powers of x. All the numerical coefficients are single digits from 0 to 9. If x = 10, the value of the polynomial is 2351. What is the polynomial?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Polynomial Product or Quotient (2 to 4 Players)

Materials Needed:
• scissors
BLM Product or Quotient Cards (48.0K)

1. Print and cut out the cards on BLM: Product or Quotient Cards.

2. Shuffle the cards and deal eight cards to each player. Place the rest face down in a pile.

3. Players inspect and arrange their cards. The object is to find groups of three expressions that are related by multiplication or division.

Examples: 2x × 3y = 6xyor 8xy ÷ 4y = 2x

Note: A wild card may be substituted for any term.

4. The first player places any three cards that are related as explained in step 3 on the table. If there are cards remaining in his or her hand, the player draws a card from the pile and the turn is over.

5. Play passes to the next player. Play ends when
• all of the cards have been drawn from the pile, or
• a player is able to place all of his or her cards on the table

6. Each player's score is 20 – n, where n is the number of cards remaining in the player’s hand. The winner is the player with the highest score.

Student Book

Chapter 8 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 400
Traditional First Nations, Métis, and Inuit foods, diets, and recipes


Health Canada
Provides the Food Guide for First Nations, Inuit, and Métis.
( http://www.hc-sc.gc.ca/fn-an/food-guide-aliment/fnim-pnim/index-eng.php )
CBC/Radio Canada
Features a news article about first aboriginal food guide.
( http://www.cbc.ca/canada/north/story/2007/04/12/food-guide.html )
Advameg Inc.
Provides recipes for traditional First Nations foods. Click on the links to recipes.
( http://www.foodbycountry.com/Algeria-to-France/Canada-Aboriginals.html )
TR page 406
Interactive tools to practice balancing expressions on each side of an equation


National Library of Virtual Manipulatives
Use the virtual manipulative to practise solving linear equations with positive numbers using a balance beam.
( http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html?open=instructions&from=category_g... )
National Library of Virtual Manipulatives
Use the virtual manipulative to practise solving linear equations with negative numbers using a balance beam.
( http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_t_2.html?open=instructions&from=category_g... )
TR page 451
Interactive quiz and game to test and practise algebra skills


Shodor Education Foundation, Inc.
Test algebra skills by solving equations with one variable. Choose the time limit, difficulty level, and problem type, and then click on Start Game.
( http://www.shodor.org/interactivate/activities/AlgebraQuiz/ )
Shodor Education Foundation, Inc.
Solve equations by connecting four game pieces in a row before an opponent does. Choose the time limit, difficulty level, and problem type, and then click on Start Game.
( http://www.shodor.org/interactivate/activities/AlgebraFour/ )

Brain Teaser

Chapter 8 Solving Linear Equations

DaVinci Goes Linear

A code is based on the linear equation y = x + 3. Assign a number to each letter in the alphabet. Calculate the corresponding value of y, and use it to replace the letter in a message. For example, if C is letter 3, the corresponding value of y is 6. So C becomes an F.

To decode a message, reverse the process.

What message does the code PHHWDWVLA indicate?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

It’s All in the Cards (2 Players)

Materials Needed:
• deck of playing cards
• timer

1. Remove the kings from the deck of cards.
• Aces count as 1s, jacks count as 11s, and queens count as 12s.
• Red cards are positive.
• Black cards are negative.

2. Take turns dealing the cards. Shuffle the cards and place them face down in a pile.

3. Player 1 draws four cards. Using the equation ax + b = cx + d, let the cards represent the values of a, b, c, and d, in order, as they are drawn.
Player 2 starts the timer. Player 1 has 20 s to determine the value of x using the values of the four cards. If the value is correct, the player is awarded 5 points.

4. Play moves to Player 2.

5. Play ends when there are less than four cards in the pile. The winner is the player with the highest score.

Web Links


SE page 288
Information about Canada’s Food Guide and how to use the food guide, such as Eating Well with Canada’s Food Guide and Eating Well with Canada’s Food Guide –First Nations, Inuit and Métis


Health Canada

Provides information about Canada’s Food Guide. Click on the links to Food Guide Basics, Choosing Foods, Using the Food Guide, and Maintaining Healthy Habits. Build your own Food Guide by clicking on Create My Food Guide. For more information, click on Educators and Communicators, and Food Guide for First Nations, Inuit and Métis.
( http://www.hc-sc.gc.ca/fn-an/food-guide-aliment/index-eng.php )
SE page 291
Learn about nutrition, healthy eating, and the nutritional values of different foods


Health Canada

Provides information about nutrition and healthy eating. Scroll down and click on the links listed in the Food and Nutrition Features for information about Bottled Water, Nutrition Labelling, Chemical Contaminants, and Food Allergies and Intolerances.
( http://www.hc-sc.gc.ca/fn-an/index-eng.php )
Health Canada

Provides information about nutrient values of some common foods that are organized by category.
( http://www.hc-sc.gc.ca/fn-an/alt_formats/hpfb-dgpsa/pdf/nutrition/nvscf-vnqau-eng.pdf )
Nutri-facts.com

Provides information about nutritional values of different foods. Enter keywords to search the food label database.
( http://www.nutri-facts.com/index.php )
Dietitians of Canada

Provides information about nutrition and healthy eating. From the menu on the left, click on Eat Well, Live Well and then on the links that appear.
( http://www.dietitians.ca/ )
NutritionData.com

Provides information about nutrition and healthy eating and a nutrient search tool. On the menu bar at the top, click on the links that appear for Tools and Topics.
( http://www.nutritiondata.com/ )
SE page 292
Learn about Steve Nash’s life, his career, and his work in communities


JockBio.com

Provides biography of Steve Nash. On the menu bar, click on Facts for a summary of his life and achievements.
( http://jockbio.com/Bios/Nash/Nash_bio.html )
Canada Basketball Official Site

Provides statistics and career highlights of Steve Nash.
( http://www.basketball.ca/en/hm/inside.php?sid=186&id=1677 )
stevenash.org

Provides information about the Steve Nash Foundation set up to assist underserved children. On the menu, click on About Us and then on About the Foundation.
( https://stevenash.org/ )
SE page 304
Learn about waterfalls around the world





State Geological Service of Latvia: This site was developed by Gatis Pavils.

Provides information and photos of the highest waterfalls in the world.
( http://mapx.map.vgd.gov.lv/geo3/Ukr/Pamatlapas_Slices/Arzemes_E/Pasaules%20augstakie_E.htm )
SE page 322
Learn about the speed of different animals


WiseGEEK.com

Provides information about fastest land animals, fastest water animals, and fastest air animals.
( http://www.wisegeek.com/what-are-the-fastest-animals-in-the-world.htm )
Quia Web

Uncover the hidden picture by putting the animals in order of speed. Enter the numbers 1 to 10 in the fields provided.
( http://www.quia.com/pp/21925.html )

Student Book

Chapter 9 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 468
Information about modern Ferris wheels


Hearst Communciations, Inc.
Provides information about the world’s tallest Ferris wheels.
( http://www.popularmechanics.com/science/extreme_machines/4248340.html )
Wikipedia®
Provides information about modern Ferris wheels. From the Contents list, click on the links to Double and triple wheels and World’s tallest Ferris wheels and manufacturers.
( http://en.wikipedia.org/wiki/Ferris_wheel )
TR page 475
Information on water usage


Human Resources and Skills Development Canada
Provides information on residential water usage.
( http://www4.hrsdc.gc.ca/indicator.jsp?lang=en&indicatorid=63#M_2 )
TR page 475
Examples of extreme weather information


Natural Resources Canada
Provides information about extreme weather in Canada.
( http://atlas.nrcan.gc.ca/site/english/learningresources/facts/superweather.html )
TR page 479
Information about film classifications in Canada


Media Awareness Network
Provides movie ratings in Canada by province and territory.
( http://www.media-awareness.ca/english/resources/ratings_classification_systems/film_class... )
TR page 479
Information about restrictions for rides in Western Canada


Pacific National Exhibition
Provides restrictions for rides at the Pacific National Exhibition.
( http://www.pne.ca/playland/rides_games_food/rides/index.htm )
WEM
Provides restrictions for rides at the Galaxyland Amusement Park at West Edmonton Mall. Scroll down to Galaxyland Rides and Descriptions.
( http://www.westedmontonmall.com/play/galaxyland.asp )
TR page 489
Information about single-ride tickets and all-day passes at amusement parks in Western Canada


Pacific National Exhibition
Provides price information for season passes and all-day passes at the Pacific National Exhibition. Click on Buy Now.
( http://www.pne.ca/index.htm )
WEM
Provides price information including single-ride tickets and all-day passes for the attractions at West Edmonton Mall.
( http://www.westedmontonmall.com/play/rates.asp#gl )

Brain Teaser

'+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ ''+ '

Costx

Anwar

x – 15

Grace

x – 14

Colin

x – 13

Diana

x – 12

Evan

x – 11

'+ '

The cost of the present must be greater than the total amount of dollars of the five friends.

'+ '

x > x – 15 + x – 14 + x – 13 + x – 12 + x – 11

'+ '

x > 5x – 65

'+ '

x < 16.25

'+ '

Since Anwar is $15 short, x > 15. The only integer that satisfies both '+ 'inequalities is 16. Therefore, the present cost $16.

'); }

Chapter 9 Linear Inequalities

Present for Damian

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image006.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (8.0K)</a>

It is Damian’s birthday. His friends Anwar, Grace, Colin, Diana, and Evan went to the store to buy a present. Each had an integral number of dollars. They found a suitable item whose price was an integer. Anwar was $15 short, Graeme was $14 short, Colin was $13 short, Dieter was $12 short, and Ewan was $11 short. Even when they pooled all of their funds, they could not buy the item. What was the cost of the item?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Spin2 Flip (2 Players)

Materials Needed:
• scissors
• two paper clips
• two pencils
• coin
• timer
BLM: Spin2 Flip Spinners (43.0K)

1. Print and cut out the spinners on BLM: Spin2 Flip Spinners. Use a pencil and paper clip to complete each spinner.
• Numbers on unshaded sectors are positive.
• Numbers on shaded sectors are negative.

2. Player 2 spins both spinners, flips the coin, and then starts the timer. Player 1 develops an inequality using the two numbers spun and the coin flip as follows:
Heads: x ± Spinner 1 > Spinner 2
Tails: x ± Spinner 1 < Spinner 2

Example: Megan spins a 6 on Spinner 1 and a –4 on Spinner 2, and flips tails. The inequality is x + 6 < –4.

3. Player 1 has 10 s to develop and solve the inequality. If the solution is correct, the player is awarded 2 points.

4. Play moves to Player 2.

5. The winner is the first player to score 20 points by the end of a round.

Web Links


SE page 339
Information about the history of Ferris wheels and the tallest ones in the world


About.com
Provides information about George Ferris and his invention of the first Ferris wheel.
( http://inventors.about.com/library/inventors/blrollercoaster.htm )
Illinois Institute of Technology: Paul V. Galvin Library Digital History Collection
Provides information about the first Ferris Wheel.
( http://columbus.iit.edu/dreamcity/00024024.html )
Wikipedia®
Provides information about the history of Ferris wheels and the tallest ones in the world. From the Contents list, click on the links to History and World’s tallest Ferris wheel installations.
( http://en.wikipedia.org/wiki/Ferris_wheel )
SE page 363
Practise solving inequalities using multiplication and division


Explorelearning
Solve an inequality by multiplying or dividing both sides. Examine the inequality on a number line and determine which points are solutions for the inequality.
( http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=273 )
SE page 366
Learn how to solve inequalities using a graphing calculator


MathBits.com
Demonstrates using a TI-83 +/ 84 graphing calculator to solve linear equalities and graph a solution set.
( http://mathbits.com/MathBits/TISection/Algebra1/linearinequ.htm )

Student Book

Chapter 10 Student Book

Student Book (PDF)

Teacher's Resource Web Links


TR page 521
Information on how camera lenses work


HowStuffWorks, Inc.
Provides information on how cameras work. Click on camera lenses.
( http://electronics.howstuffworks.com/camera.htm )
TR page 527
Information on arm bands for fancy dress costumes


KQ Designs
Provides information about powwow clothing including arm bands.
( http://kqdesigns.com/powwowclothing.htm )
thinkquest.org
Provides information about powwow dance styles and dance outfits. Click on the links for photographs of dance outfits, including arm bands.
( http://library.thinkquest.org/3081/styles.htm )
TR Page 537
Information about centripetal force


Regentsprep.org
Uses animation to explain centripetal force.
( http://regentsprep.org/Regents/physics/phys06/bcentrif/default.htm )
TR Page 537
Information about speed skater Jeremy Wotherspoon


Speed Skating Canada
Provides information about speed skater Jeremy Wotherspoon.
( http://www.speedskating.ca/index.cfm?id=1452 )
Wikipedia®
Provides information about Jeremy Wotherspoon.
( http://en.wikipedia.org/wiki/Jeremy_Wotherspoon )

Brain Teaser

Chapter 10 Circle Geometry

On a Tangent

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image008.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (13.0K)</a>

Allan tied a ball to a string and whirled it around in a circular path, as shown. He let go of the string when the ball was at point P. Which of his friends is most likely to catch the ball?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Roll and Draw (2 Players)

Materials Needed:
• one six-sided die
• timer

1. Each player rolls the die. The player with the highest roll begins.

2. Player 1 rolls the die and starts the timer.
• The player uses the number rolled to divide a circle into equal parts and then calculates the central angle.

Example: Eli rolls a 2. He calculates the central angle that is formed from dividing a circle into two equal parts.

• The player sketches the circle and labels the central angle.
Player 2 stops the timer and records the score, which is the number of seconds that have elapsed.

3. Play moves to Player 2.

4. Play continues until a player reaches 200 points. The winner is the player with the lowest score.

Web Links


SE page 374
Information about Euclid


mathsisgoodforyou.com

Provides biographical information about Euclid. Click on the link to Elements for information and visuals about Euclid’s book.
( http://www.mathsisgoodforyou.com/people/euclid.htm )
Clark University: This site was developed by D.E. Joyce.

Use the interactive geometry applet to learn about Euclid’s Elements.
( http://aleph0.clarku.edu/~djoyce/java/elements/elements.html )
SE page 379
Explore geometric properties of angles in a circle on a geoboard or a computer


National Library of Virtual Manipulatives

Explore geometric properties of central angles and inscribed angles in a circle using a virtual geoboard.
( http://nlvm.usu.edu/en/nav/frames_asid_285_g_4_t_3.html?open=activities&from=category_g_4... )






SE page 386
Explore geometric properties of perpendicular bisectors to a chord on a computer


Argyll Home Education Services Centre: This site was developed by Jim Reed.

Use the interactive activity to explore the pattern for perpendicular bisectors to a chord. Then, watch the animation to check for understanding.
( http://argyll.epsb.ca/jreed/math20p/circles/chordBisector.htm )
SE page 393
Information about sand mandalas


Cornell University

Provides information about sand mandalas and photos.
( http://www.graphics.cornell.edu/online/mandala/ )
SE page 394
Explore geometric properties of tangents to a circle on a computer


Argyll Home Education Services Centre: This site was developed by Jim Reed.

Use the interactive activities to explore the properties of tangents to a circle. Then, watch the animations to check for understanding.
( http://argyll.epsb.ca/jreed/math20p/circles/tangent.htm )

Student Book

Chapter 11 Student Book

Student Book (PDF)

Answers Student Book

Student Book (PDF)

Glossary and Index Student Book

Student Book (PDF)

Chapter 11 BLMs


Chapter BLMs in PDF format

BLM 11.01 Chapter 11 Math Link Introduction (55.0K)
BLM 11.02 Chapter 11 Get Ready (316.0K)
BLM 11.03 Chapter 11 Warm-Up (170.0K)
BLM 11.04 Chapter 11 Problems of the Week (40.0K)
BLM 11.05 Research Project Checklist (189.0K)
BLM 11.06 Section 11.1 Extra Practice (54.0K)
BLM 11.07 Section 11.1 Math Link (72.0K)
BLM 11.08 Section 11.2 Extra Practice (31.0K)
BLM 11.09 Section 11.2 Math Link (33.0K)
BLM 11.10 Section 11.3 Extra Practice (34.0K)
BLM 11.11 Section 11.3 Math Link (42.0K)
BLM 11.12 Research Project Rubric (26.0K)
BLM 11.13 Sample Research Project Rubric (37.0K)
BLM 11.14 Chapter 11 Math Link Wrap It Up! (27.0K)
BLM 11.15 Chapter 11 Test (50.0K)
BLM 11.16 Global Mean Temperature (124.0K)
BLM 11.17 Newspaper Headlines (36.0K)
BLM 11.18 Chapter 11 BLM Answers (174.0K)


Chapter BLMs in Word format

BLM 11.01 Chapter 11 Math Link Introduction (129.0K)
BLM 11.02 Chapter 11 Get Ready (1214.0K)
BLM 11.03 Chapter 11 Warm-Up (563.0K)
BLM 11.04 Chapter 11 Problems of the Week (44.0K)
BLM 11.05 Research Project Checklist (1028.0K)
BLM 11.06 Section 11.1 Extra Practice (153.0K)
BLM 11.07 Section 11.1 Math Link (297.0K)
BLM 11.08 Section 11.2 Extra Practice (33.0K)
BLM 11.09 Section 11.2 Math Link (40.0K)
BLM 11.10 Section 11.3 Extra Practice (48.0K)
BLM 11.11 Section 11.3 Math Link (62.0K)
BLM 11.12 Research Project Rubric (45.0K)
BLM 11.13 Sample Research Project Rubric (51.0K)
BLM 11.14 Chapter 11 Math Link Wrap It Up! (40.0K)
BLM 11.15 Chapter 11 Test (88.0K)
BLM 11.16 Global Mean Temperature (450.0K)
BLM 11.17 Newspaper Headlines (40.0K)
BLM 11.18 Chapter 11 BLM Answers (608.0K)

Teacher's Resource Web Links


TR page 558
Results of a survey of Canadian Internet usage at home


CBC/Radio Canada
Provides results of a survey of Canadian Internet usage at home in 2007.
( http://www.cbc.ca/news/interactives/cp-internet-use/ )
TR page 561
Information about ungulates


ultimateungulate.com
Provides information about ungulates.
( http://ultimateungulate.com/ )
TR page 561
Information about wildlife research and wildlife management plans in Nunavut


Department of Environment
Provides links to information about wildlife research and wildlife management plans in Nunavut. Click on individual wildlife species for fact sheets.
( http://www.gov.nu.ca/env/wild.shtml )
TR page 561
Information about national parks, provincial parks, and urban parks in Canada


Digital Wizards Inc.
Provides information, photos, and video clips about national parks and reserves in Canada.
( http://www.canadianparks.com/ )
White Cat Ventures Ltd.
Provides information and photos about national parks and provincial parks in Canada. From the list on the left, click on National Parks or Provincial Parks and then on the links to each province or territory.
( http://www.out-there.com/ )
Wikipedia®
Provides information about urban public parks in Canada.
( http://en.wikipedia.org/wiki/Urban_parks_in_Canada )
TR page 569
Guidelines about developing questions to survey behaviour


CBS Interactive Inc.
Provides guidelines for designing survey questions about behaviour.
( http://findarticles.com/p/articles/mi_m4021/is_n2_v18/ai_17966627 )
TR page 569
Information about data collection methods and their advantages and disadvantages


Creative Research Systems
Includes information about interviewing methods and their advantages and disadvantages. Scroll down to The Steps in a Survey Project and click on Choose interviewing methodology.
( http://www.surveysystem.com/sdesign.htm )
TR page 575
Interactive activity to practise using sampling terms


Argyll Home Education Services Centre: This site was developed by Jim Reed.
Drag the terms to the appropriate definitions of sampling terms.
( http://argyll.epsb.ca/jreed/math9/strand4/termsBias.swf )
TR page 588
Information about what actuaries do


Canadian Institute of Actuaries
Provides information about what actuaries do and where they work, and career information.
( http://www.actuaries.ca/actuaries/index_e.cfm )
TR page 588
Use a random number generator in a spreadsheet program


BLM Random Number Generator
Features a tutorial about how to use a random number generator in a spreadsheet program such as Microsoft® Excel.
( ../../school/secondary/mathlinks/docs/mhr_ml9_tr_BLM_RNG.doc )
TR page 588
Updated science news


Science Daily LLC
Provides the latest research news in science.
( http://www.sciencedaily.com/ )
TR page 588
Interactive site activity that provides information about sample size and a random sample calculator


CustomInsight.com
Provides information about how random sampling works and determining sample size based on the level of accuracy desired. Use the Random Sample Calculator to calculate the number of people to survey for a random sample.
( http://www.custominsight.com/articles/random-sampling.asp )
TR page 588
An analysis of the chances of holding a winning ticket for Lotto 649


Worsleyschool.net: Site developed by Bill Willis.
Provides an analysis of the chances of holding a winning ticket for Lotto 649.
( http://www.worsleyschool.net/science/files/lotto/winning649.html )
TR page 593
Information about how to reference electronic sources using MLA style


Houghton Mifflin Company
Provides information about listing electronic sources in MLA style.
( http://www.thewritesource.com/mla/ )
TR page 601
The Intergovernmental Panel on Climate Change (IPCC) Fourth Assessment Report (AR4) titled Climate Change 2007


Intergovernmental Panel on Climate Change
Provides the Intergovernmental Panel on Climate Change Fourth Assessment Report titled Climate Change 2007 Synthesis Report.
( http://www.ipcc.ch/ipccreports/ar4-syr.htm )
Intergovernmental Panel on Climate Change
Provides frequently asked questions and answers about climate change.
( http://www.ipcc.ch/pdf/assessment-report/ar4/wg1/ar4-wg1-faqs.pdf )
TR page 601
Information about what climate scientists do


University of Wisconsin
Provides information about how scientists measure climate and how it changes over time, and make forecasts.
( http://whyfiles.org/021climate/ )
TR page 605
Information about how to look at data with a more critical attitude


Robert Niles
Provides five questions to help analyse data.
( http://www.isixsigma.com/offsite.asp?A=Fr&Url=http://www.robertniles.com/stats/dataanly.s... )

Web Links


TR page 558
Results of a survey of Canadian Internet usage at home


CBC/Radio Canada
Provides results of a survey of Canadian Internet usage at home in 2007.
( http://www.cbc.ca/news/interactives/cp-internet-use/ )
TR page 561
Information about ungulates


ultimateungulate.com
Provides information about ungulates.
( http://ultimateungulate.com/ )

Brain Teaser

Chapter 11 Data Analysis

Deserted Island

<a onclick="window.open('/../../student/9780070973404/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973404/olc2/dl/645442/image010.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973404/olcweb/styles/shared/linkicons/image.gif"> (6.0K)</a>
A passenger plane makes an emergency landing on a deserted island with 120 persons on board. The cargo included enough food to last for 15 days. On the morning of the sixth day, before the daily rations were handed out, a ship sank close to the island. All 30 ship passengers made it to shore. How long can the two groups survive, assuming that rations per person remain the same?

Click here for a hint

Click here for the solution

Note: Brain teasers are often open to more than one interpretation, and multiple answers may be possible. Sample solutions are shown.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!









Student Games

Licence Plates (Any Number of Players)

Materials Needed:
• chips or tokens of two colours

1. The object is for players to observe licence plates on motor vehicles in a parking lot and note the last two numbers on each plate. They continue to observe licence plates until a match is found or they note 20 licence plates. This completes a round of play. Before doing so, each player makes a prediction about whether or not there will be a match.

2. One player acts as the bank and distributes five chips of the appropriate colour to each player.
• Players who predict there will be a match get chips of one colour.
• Players who predict there will not be a match get chips of another colour.
Players play against the bank.

3. The winners in a round receive a chip. The losers must pay a chip.

4. Play at least six rounds.

5. Determine which prediction is more likely to win.

Web Links


SE page 413
Information about national parks


Parks Canada

Provides information about the national parks of Canada. From the list on the left, click on Find a National Park. Click on the names of the parks.
( http://www.pc.gc.ca/progs/np-pn/index_E.asp )
Kanada News™

Provides information about the national parks of Canada by province or territory.
( http://www.national-parks-canada.com/ )
SE page 431
Information about gene types that determine eye colour


Athro Limited: This site was developed by Paul Morris and Susan Morris.

Provides information about how eye colour is inherited. Use the interactive eye colour calculator to determine eye colour and then click on the link that explains how human eye colours are inherited.
( http://www.athro.com/evo/inherit.html )
SE page 437
Information about road safety and risk factors, and factors affecting car insurance rates


Transport Canada

Provides information about road and motor vehicle safety. Click on the links related to road and motor vehicle safety listed below Road Transportation.
( http://www.tc.gc.ca/eng/roadsafety/menu.htm )



Insurance Bureau of Canada

Provides information about factors affecting car insurance rates.
( http://www.ibc.ca/en/Car_Insurance/Introduction/How_Auto_Rates_Calculated.asp )
SE page 448
Environment Canada’s climate data for locations and dates to 1840


Environment Canada

Provides climate data for specific locations and dates going back to 1840.
( http://www.climate.weatheroffice.ec.gc.ca/climateData/canada_e.html )
SE page 449
Sources of online headlines


CBC/Radio Canada

Provides headlines.
( http://www.cbc.ca/news/ )
BBC©MMIX

Provides headlines.
( http://news.bbc.co.uk/ )
Scholastic Inc.

Provides headlines.
( http://www2.scholastic.com/browse/scholasticNews.jsp?FromBrowseMod=true&Ns=Pub_Date_Sort|... )
Student News Net and Encyclopaedia Britannica

Provides headlines.
( http://www.studentnewsnet.com/ )
SE page 449
Sources of online newspapers


Homer.ca

Provides links to newspapers from British Columbia, Alberta, Saskatchewan, and Manitoba.
( http://homer.ca/newspapers/western.htm )
Web Wombat Pty Ltd.

Provides links to Canadian newspapers.
( http://www.onlinenewspapers.com/canada.htm )