Foundations for College Mathematics 11 Teacher Centre


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Geometer Sketchpad Graphs

Geometer's Sketchpad Graphs Chapter 1 (2.0K)

Geometer's Sketchpad Graphs Chapter 4 (1929.0K)

Geometer's Sketchpad Graphs Chapter 5 (5.0K)

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Interactive Lessons


Use these interactive, and engaging lessons to enhance your students classroom experience.


2.1 Probability Experiments (921.0K)
4.4 The Quadratic Relation (605.0K)





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Internet Connects


Generic Career Profile Links

ontariocolleges.ca
Links to all Ontario Colleges. The Program Locator can link you directly to a specific program at an Ontario College. The Program Locator also links to related programs.
( http://www.ontariocolleges.ca )
SchoolFinder.com
This site briefly describes the program available at Canadian colleges and universities and lists careers and scholarships
( http://www.SchoolFinder.com )
CareerCruising
This site includes links to: • Career Matchmaker, a self-assessment tool that chooses careers for the student. • Explore Careers, descriptions of specific careers and programs that are available at Canadian Colleges and Universities.• Education and Training in Canada, links to Canadian Colleges and Universities that offer the students’ chosen career.• Interesting interviews with people in a particular career. A username and password is required for this site. See your school’s guidance department
( http://www.careercruising.com )
Ontario Job Futures
This search engine developed by the Ontario and Canadian governments gives information on: • related careers• future employment prospects in Ontario• occupation characteristics, such as number of people employed in a specific career in Ontario and demographics• average salary
( http://www.ontariojobfutures.net )
nextSteps.org
This self-assessment tool helps students determine their personal strengths, set realistic goals and choose a career path that is suited to them
( http://www.nextsteps.org )
CanLearn
This Government of Canada site gives students information about how to save, plan (explore careers, select programs and schools), and pay for their education. An interesting feature of this website is the Education Level Search. Here, students can find out what occupations they can consider depending on the number of years they attend college or training programs.
( http://www.canlearn.ca )
Chapter 1 Career Profile

Fleming College
For details about the Geomatics Technician program at Fleming College, enter the course name.
( http://www.flemingc.on.ca )
CareerCruising
Find out how a geomatics technician can upgrade to become a licensed surveyor in the job description on this site.
( http://www.careercruising.com )
Chapter 2 Career Profile

ontariocolleges.ca
For details about the Fish and Wildlife Technician program at Sault College, type the program name into the Program Locator. The Program Locator will link you to the program on Sault College’s website. The Program Locator also links to related programs.
( http://www.ontariocolleges.ca )
2.4 for BLM 2-9 Literacy Connect

Canadian Diabetes Association
Provide your students with this link to Canadian Diabetes Association for the Literacy Connect.
( http://www.diabetes.ca/ilt/diabetes_answers/are_you_at_risk_for_diabetes.aspx )
American Diabetes Association
Provide your students with this link to the American Diabetes Association for the Literacy Connect.
( http://www.diabetes.org/risk-test.jsp )
Chapter 3 Career Profile

ontariocolleges.ca
For details about the Manufacturing Engineering
( http://www.ontariocolleges.ca )
Chapter 4 Career Profile

ontariocolleges.ca
Find the Industrial Design link to Humber College, use the Program Locator.
( http://www.ontariocolleges.ca )
Ontario College of Art and Design
For details about the Industrial Design program at The Ontario College of Art and Design, enter the course name.
( http://www.ocad.on.ca )
4.1 Section Opener

Publications and Records
The introduction makes reference to a discussion of quadratic relations in British Parliament. Read the text of the debate to find out more.
( http://www.parliament.the-stationery-office.co.uk/pa/cm200203/cmhansrd/vo030626/debtext/3... )
4.2 Question 10

gsp file
For question 10, you may wish to have students use the file to check their answers.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/Geometer_Sketchpad_Graphs.... )
Question 11

tetongravityresearch
Students may be interested in watching the video of the skier, Jamie Pierre, perform his free jump.
( http://www.tetongravity.com/viewer/ANOMALY.aspx. )
Question 9

gsp file
For question 9, you may want to make the file available to students or use it yourself when taking up the homework.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/Geometer_Sketchpad_Graphs.... )
4.5 Enrichment

gsp file
Give this file and the question in the TR to students interested in using The Geometer's Sketchpad® to solve a complex problem. Students use the file to find the answer.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/ Geometer_Sketchpad_Graphs... )
gsp file
Have students use the file when they work on the Investigate on BLM 4-10 Section 4.5 Investigate.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/ Geometer_Sketchpad_Graphs... )
Chapter 5 Career Profile

Mowhawk College of Applied Arts and Technology
For details about the Architectural Technician program at Mohawk College, enter the course name.
( http://www.mohawkcollege.ca )
5.5 Investigate

gsp file
You may want to use this file to reinforce the concepts developed in the Investigate.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/ Geometer_Sketchpad_Graphs... )
5.5 Question 14

gsp file
To help explain question 14, you may want to use this file.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/ Geometer_Sketchpad_Graphs... )
5.6 Question 15

www.danyway.com/_video
Students might enjoy watching Danny Way's jump on this video clip..
( http://www.dannyway.com/_videos/dc_great_wall_med.mov )
5.6 Question 18

gsp file
In question 18, you may want to use the file to help students approximate the answer.
( http://highered.mcgraw-hill.com/sites/0070780846/student_view0/ Geometer_Sketchpad_Graphs... )
Chapter 6 Career Profile

ontariocolleges
For details about the Graphic Design program at Fanshawe College, type the program name into the Program Locator. This will link to the program at Fanshawe College and also to related programs.
( http://www.ontariocolleges.ca )
6.1 Investigate 2

Interactive: Tessellate!
Students can experiment with tessellations using this online interactive applet.
( http://www.shodor.org/interactivate/activities/tessellate/ )
6.1 Investigate 3

The Geometer's Sketchpad® Resource Center
Download Custom Tools, and obtain other resources for The Geometer's Sketchpad®.
( http://www.dynamicgeometry.com )
6.1 Enrichment

Interactive: Tessellate!
Students can change the shapes on this applet to make interesting tessellations.
( http://www.shodor.org/interactivate/activities/tessellate/ )
6.1 for BLM 6-5 Literacy Connect

U.S. Department of Energy
Students can learn more about different methods of passive solar design.
( http://www.eere.energy.gov/buildings/info/design/integratedbuilding/passive.html )
www.mnpower.com
Students can learn more about passive solar design in a northern climate in this article.
( http://www.mnpower.com/energyhome/docs/solar.pdf )
6.2 Question 8

The Official M.C. Escher Website
Students can view Escher's "impossible" drawings and take a "virtual ride" through three of his drawing to see how the optical illusion works.
( http://www.mcescher.com/ )
6.3 Literacy

University of Florida
This useful article on the history of packaging can be used as a Literacy Connect
( http://edis.ifas.ufl.edu/pdffiles/AE/AE20600.pdf )
6.4 Questioin 2

Canadian Aviation Museum
Learn more about the Avro Arrow at the Canadian Aviation Museum Web-site.
( http://www.aviation.technomuses.ca/ )
6.5 Question 6

Canadyne - Products
Students might be interested in seeing the oil containment products manufactured by this Canadian company. Includes videos of how some products work
( http://www.canatec.com/products.html )
Oceanlink: marine sciences education and fun
Students can learn about the effect of oil spills on the environment and view some interesting aerial pictures of marine oil spills.
( http://oceanlink.island.net/oceanmatters/oil%20pollution.html )
6.5 Question 10

Containment Pressure Control Methods
This page has photos and diagrams of the containment system used in the Canadian CANDU reactors.
( http://www.nucleartourist.com/systems/cs.htm )
Chapter 7 Career Profile

ontariocolleges
For details about the Medical Laboratory Technician program at St. Clair College, type the program name into the Program Locator. This will link to the program at St. Clair College and also to related programs.
( http://www.ontariocolleges.ca )
Chapter 8 Career Profile

Centennial College
For details about the Certified Financial Planning program at Centennial College, enter “CFP” into the search field.
( http://www.centennialcollege.ca )
Chapter 9 Career Profile

ontariocolleges
For details about the Business Management-Financial Services program Humber College, type the program name into the Program Locator. This will link to the program at Humber College and also to related programs.
( http://www.ontariocolleges.ca )

Social Justice Data Activities

For section 3.2, pages 110-117

Statistics Canada
Income levels and a just society
http://www.statcan.ca/english/kits/issues/issue3.htm
This Learning Resource includes several sets of data which students might analyse in pairs and make a summary presentation of their observations. Refer to:
-- Chart 7 Which groups experience chronic low income?
-- Chart 8 Relative incomes of young men and women continue to lag
-- Chart 9 Low income rates of recent immigrants have risen


For section 3.2, pages 110-117

Canadian Council on Social Development
Urban Poverty in Canada - Statistical Profile for Ontario
http://www.ccsd.ca/pubs.2007/upp/poverty_data_tables/provinces/ontario.pdf
Challenge students to work in groups to summarize three conclusions they can make about types of people who live in poverty in Ontario. Might be used as an alternative to one of the B exercises.


For sections 3.2 and 3.3, pages 110-129

Statistics Canada
bullying.doc (71.0K)
This student worksheet “Bullying – studying it to curb it” provided by Statistics Canada asks students to link to Census at School to collect data, analyse and graph the data. Activity will reinforce concepts presented in section 3.2 and 3.3. Teachers could extend the questions to include sections 3.4 and 3.5 by adding questions about measures of central tendency and spread.


For section 3.3, pages 127-128

Health and social services
Health and ss data for 3.3.doc (47.0K)
This data about health and social services spending in Ontario, with related questions, can be used as an alternative B exercise for section 3.3.


For section 3.4, pages 130-139

Charitable donations
charitable donations for 3.4.doc (64.0K)
This Canadian data, with related questions, can be used as an alternative B exercise for section 3.4.


For section 3.6, pages 154-155

Income spread
Income data Ont 05 for 3.6.doc (55.0K)
This data about personal income in Ontario, with related questions, can be used as an alternative B exercise for section 3.6.


For sections 3.3 and 3.6

Population spread
Canada Population by age and gender.doc (43.0K)
This double bar graph, with related questions, can be used as an alternative B exercise for reviewing skills from sections 3.3 Display Data and 3.6 Common Distributions.


End of Chapter 3

Assessing Quality of Life
Learning Resources Quality of life indicators
http://www.statcan.ca/english/kits/quality/quali1.htm
This Learning Resource from Statistics Canada might be used as a culmination activity at the end of Chapter 3. Students use data on life expectancy and infant mortality from 1931 to the present to analyze trends. Teaching notes and links are provided.



For section 4.4, pages 204-217

Bankruptcies in Canada
Bankruptcies.doc (52.0K)
Asks students to fit a quadratic relation to this data on number of bankruptcies in Canada. Might be used as a warm-up for question 10 on page 216.


For section 4.4, pages 204-217

Quadratic modelling of population data
BabyBoom-CompleteFathomVersion.doc (214.0K)
This Learning Resource developed by Statistics Canada has students fit a quadratic function to population data. Instructions are included for how to download the data from ESTAT, or teachers can provide it for students. Students use Fathom and sliders to fit a quadratic. A student work sheet is included.
Good to use as an enrichment activity after students have completed section 4.4.



For section 7.5, pages 395-405

Compare male and female earnings over time
Earnings for 7.5.doc (52.0K)
Use exponential regression to model this data on average incomes by gender. Some questions are provided. Can be used as an alternative B exercise for section 7.5.


For section 7.5, pages 395-405

Statistics Canada
MalesinApp-CompleteFathomVersion.doc (243.0K)
This Learning Resource uses E-STAT and Fathom to fit a quadratic function to apprenticeship data. Instructions are included for how students can download the data, or teachers can provide it for them. A student work sheet is included. The first set of data leads to a quadratic graph, the second to an exponential.
Might be used as an alternative to the Investigate on page 395 or as a consolidation activity once students have completed section 7.5.



Teacher's Resource

Front Matter (93.0K)
Overview (437.0K)
Table of Contents (84.0K)



Chapter 1 - Trigonometry (127.0K)
1.1 Revisit the Primary Trigonometric Ratios (124.0K)
1.2 Solve Problems Using Trigonometric Ratios (160.0K)
1.3 The Sine Law (147.0K)
1.4 The Cosine Law (107.0K)
1.5 Make Decisions Using Trigonometry (127.0K)
Chapter 1 Review (64.0K)
Chapter 1 Practice Test (73.0K)
Chapter 1 Problem Wrap-Up (82.0K)

Chapter 2 - Probability (122.0K)
2.1 Probability Experiments (113.0K)
2.2 Theoretical Probability of an Event (109.0K)
2.3 Compare Experimental and Theoretical Probabilities (113.0K)
2.4 Interpret Information Involving Probability (111.0K)
Chapter 2 Review (66.0K)
Chapter 2 Practice Test (74.0K)
Chapter 2 Problem Wrap-Up (69.0K)

Chapter 3 - One Variable Statistics (129.0K)
3.1 Sampling Techniques (102.0K)
3.2 Collect and Analyse Data (93.0K)
3.3 Display Data (143.0K)
3.4 Measures of Central Tendency (96.0K)
3.5 Measures of Spread (95.0K)
3.6 Common Distributions (132.0K)
Chapter 3 Review (67.0K)
Chapter 3 Practice Test (76.0K)
Chapter 3 Problem Wrap-Up (77.0K)
Chapters 1 to 3 Review (68.0K)
Chapter 3 Task: Road to the Stanley Cup (84.0K)

Chapter 4 - Quadratic Relations I (134.0K)
4.1 Introduction to Quadratic Relations (206.0K)
4.2 The Quadratic Relation y = ax2 + k<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/506630/acrobat.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
4.3 The Quadratic Relation y = a(x - h)2<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/506630/acrobat.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/506630/acrobat.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>4.4 The Quadratic Relation y = a(x - h)2 + k
4.5 Interpret Graph of Quadratic Relations (112.0K)
Chapter 4 Review (66.0K)
Chapter 4 Practice Test (81.0K)
Chapter 4 Problem Wrap-Up (73.0K)

Chapter 5 - Quadratic Relations II (129.0K)
5.1 Expand Binomials (103.0K)
5.2 Convert Quadratic Relations From Vertex Form to Standard Form (106.0K)
5.3 Factor Trinomials of the Form x2 + bx + c<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/506630/acrobat.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
5.4 Factor Trinomials of the Form ax2 + bx + c<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/506630/acrobat.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
5.5 The x-Intercepts of a Quadratic Relation (115.0K)
5.6 Solve Problems Involving Quadratic Relations (109.0K)
Chapter 5 Review (67.0K)
Chapter 5 Practice Test (84.0K)
Chapter 5 Problem Wrap-Up (68.0K)
Chapter 5 Task: Design a Soccer Field (87.0K)

Chapter 6 - Geometry in Design (149.0K)
6.1 Investigate Geometric Shapes and Figures (158.0K)
6.2 Perspective and Orthographic Drawings (164.0K)
6.3 Create Nets, Plans, and Patterns (112.0K)
6.4 Scale Models (114.0K)
6.5 Solve Problems With Given Constraints (116.0K)
Chapter 6 Review (67.0K)
Chapter 6 Practice Test (75.0K)
Chapter 6 Problem Wrap-Up (77.0K)
Chapters 4 to 6 Review (68.0K)

Chapter 7 - Exponents (137.0K)
7.1 Solve Problems With Given Constraints (139.0K)
7.2 Zero and Negative Exponents (120.0K)
7.3 Investigate Exponential Relationships (200.0K)
7.4 Exponential Relations (172.0K)
7.5 Modelling Exponential Growth and Decay (158.0K)
7.6 Solve Poblems Involving Exponential Growth and Decay (114.0K)
Chapter 7 Review (66.0K)
Chapter 7 Practice Test (76.0K)
Chapter 7 Problem Wrap-Up (77.0K)

Chapter 8 - Compound Interest (131.0K)
8.1 Simple and Compound Interest (144.0K)
8.2 Compound Interest (121.0K)
8.3 Present Value (105.0K)
8.4 The TVM Solver (88.0K)
8.5 Effects of Changing the Conditions on Investments and Loans (100.0K)
Chapter 8 Review (67.0K)
Chapter 8 Practice Test (82.0K)
Chapter 8 Problem Wrap-Up (88.0K)

Chapter 9 - Personal Finance (157.0K)
9.1 Savings Alternatives (162.0K)
9.2 Investment Alternatives (128.0K)
9.3 Manage Credit Cards (96.0K)
9.4 Obtain a Vehicle (106.0K)
9.5 Operate a Vehicle (136.0K)
Chapter 9 Review (66.0K)
Chapter 9 Practice Test (75.0K)
Chapter 9 Problem Wrap-Up (69.0K)
Chapters 7 to 9 Review (69.0K)
Chapter 9 Task: Organise Your Personal Finances (96.0K)
Chapter 1 to 9 Review (75.0K)

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

<a onclick="window.open('/../../student/9780070780842/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070780842/olc2/dl/449925/mhr_ml7_tr_TI_Icon.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070780842/olcweb/styles/shared/linkicons/image.gif"> (48.0K)</a>
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.


These lessons are provided through Texas Instruments, and as such do not necessarily follow The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (revised). 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 4: Draw on Your Knowledge of Coordinates
This module will examine the following:
• using graph window presets such as zstandard, zdecimal, zinterger, to create friendly viewing windows
• manually changing the window settings to create friendly viewing graph windows and manually setting the centre of a window
• graphing lines squares, circles using tools from the draw menu and clearing drawings
• drawing on the graph screen using the draw tools from the home screen and storing/recalling drawings
• downloading and using TI Connect to capture drawings on the home screen

Module 5: Transformations
This module will examine the following:
• using the set up editor and the alpha lock feature to name and create lists
• using graph window presets such as zoomstat and zsquare to create friendly viewing windows and manually changing window settings
• performing operations on lists to reflect, translate and dilate graphs
• using the augment and dim commands to change the size of lists

Module 8: Solving Equations
This module will examine the following:
• using the guess-and-test method to solve equations
• entering expressions and using concatenation on home screen to solve expressions
• entering functions using the y = editor and using the table feature to find missing values
• Solving Equations Algebraically store values and compare answers with expressions with rational numbers
• using y= editor to graphing and using the Calc menu to find intersection points
• expressing answers in fractional form

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.
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GSP Sketches

Internet Connects


Section 3.2 page 111 Statistics Canada
This is the official Web site of Statistics Canada. It provides the most comprehensive and authoritative data and reports on a variety of fields including business, education, health, and transportation.
( http://www.statcan.ca/ )
Section 6.1 page 297 Golden ratio in art and architecture
See a slide presentation on the application of geometric knowledge in famous art and architecture masterpieces. Learn how the ancient Egyptians used magical properties to design their great pyramids. See the golden rectangles in Da Vinci's famous Mona Lisa. Click on the various buttons to access additional animated features and to download interesting exercises.
( http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm )
Section 6.1 page 298 Pattern Blocks
Click on various geometric shapes in the applet and drag them around to create your own patterns. Check out the amazing features of the program.
( http://ejad.best.vwh.net/java/patterns/patterns_j.shtml )
Section 6.1 page 300 What is a Tessellation?
Learn all about tessellation and gets links to a variety of resources to help make learning about tessellations fun and challenging. A tutorial on tessellations is provided along with interesting examples.
( http://mathforum.org/sum95/suzanne/whattess.html )
Section 6.1 page 300 How Cell Phones Work
To learn more about how cell phones work check out this Web site. Read all about some great features of cell phones that you may not know. Learn about cell-phone frequencies, cell-phone channels and the newest cell-phone technologies. Make yourself an expert on cell phones!
( http://www.howstuffworks.com/cell-phone.htm )
Section 6.1 page301 Great Pyramid
Take a virtual tour of the Great Pyramid. Explore its chambers and passageways or follow a team of archaeologists and they excavate the bakery that fed the pyramid builders.
( http://www.pbs.org/wgbh/nova/pyramid/ )
Section 6.2 page 306 Habitat 67
This website gives a comprehensive view of the development of the Habitat 67 project. It presents the various stages of the construction process through an animated three-dimensional model. In addition, the original architectural and structural drawings are shown.
( http://cac.mcgill.ca/safdie/habitat/ )
Section 6.2 page 309 drawing software in film making
Amateur filmmakers often use commonly available drawing and design software to create inexpensive special effects for their productions. Check out the scenes behind New Trek, and you may learn a lot more about designing, drawing, as well as filmmaking.
( http://newvoyages.com/ )
Section 6.3 page 319 A brief history of packaging
From containers provided by nature to the use of complex materials and processes, this Web site provides the history of packaging, the innovations and technology. This is a great site for you to learn more about package design.
( http://edis.ifas.ufl.edu/pdffiles/AE/AE20600.pdf )
Section 6.5 page 337 modular homes
Learn about modular homes, check out a variety of floor plans and construction options. You may be inspired to design a special home yourself!
( http://www.royalhomes.com/ )
Section 7.1 page 359 Earthquakes in Canada
Learn about recent earthquakes in Canada and to get safety tips on preparing for earthquakes.
( http://earthquakescanada.nrcan.gc.ca/ )
Section 7.6 Question 8 Half-life
Learn more about half-life. Includes an applet that shows radioactive decay.
( http://www.colorado.edu/physics/2000/isotopes/radioactive_decay3.html )
Section 7.6 Question 11 Inflation
Do you want to know if the cost of living is rising and by how much? This inflation calculator uses the monthly consumer price index from 1914 to the present to show changes in the cost of a fixed "basket" of consumer purchases.
( http://www.bankofcanada.ca/en/rates/inflation_calc.html )
Section 7.6 Question 12 When will World population be 10000 million?
This article presents the population estimates from 3000 B.C.E. to 2006 C.E., and analyses the trends in population growth for future years. What will Earth’s population be when you turn 21?
( http://johnalexwood.blogspot.com/2007/01/will-worlds-population-be-10000-million.html )
Section 7.6 Question 12 Historical estimates of World population
The U.S. Census Bureau provides a chart of population estimates from 10 000 C.E. to 1950 B.C.E. Compare this data here with the population estimates from the other Web site. Are they reasonably similar?
( http://www.census.gov/ipc/www/worldhis.html )
Section 8.2 Question 11
Compare interest rates for personal loans that could be used to purchase a car.
( http://www.ingdirect.ca/en/accounts-rates/ourrates/index.html )
Section 8.2 Question 11 - PC Financial
Compare interest rates for personal loans that could be used to purchase a car.
( http://www.banking.pcfinancial.ca/a/rates/allPurposeLoanRate.page )
Section 8.2 Question 11 - CIBC
Compare interest rates for personal loans that could be used to purchase a car.
( http://www.cibc.com/ca/loans/car-loan.html )
Section 9.1 page 462 Compare interest rates- BMO
Compare interest rates on savings accounts.
( http://www4.bmo.com/personal/rates/0,4481,35649_3507279,00.html?pChannelId=0 )
Section 9.1 page 462 Compare interest rates -TD bank
Compare interest rates on savings accounts.
( http://www.tdcanadatrust.com/accounts/compare_savings.jsp )
Section 9.1 page 462 Compare interest rates - Scoitabank
Compare interest rates on savings accounts.
( http://www.scotiabank.com/rates/savings.html )
Section 9.1 page 462 Compare interest rates - ING Direct
Compare interest rates on savings accounts.
( http://www.ingdirect.ca/en/accounts-rates/ourrates/index.html )
Section 9.1 page 462 Bank service charges - BMO
Compare fees and/or service charges. Which bank is the best one for you?
( http://www4.bmo.com/personal/0,4344,35649_36670,00.html )
Section 9.1 page 462 Bank service charges - TD Bank
Compare fees and/or service charges. Which bank is the best one for you?
( http://www.tdcanadatrust.com/accounts/compare_savings.jsp )
Section 9.1 page 462 Bank service charges - Scotiabank
Compare fees and/or service charges. Which bank is the best one for you?
( http://www.scotiabank.com/cda/content/0,1608,CID437_LIDen,00.html )
Section 9.1 page 462 Bank service charges - ING Direct
Compare fees and/or service charges. Which bank is the best one for you?
( http://www.ingdirect.ca/en/save-invest/savingsaccounts/index.html )
Section 9.2 page 468 Financial institutions links for mutual funds
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.mbanx.ca/mutualfunds/index.html )
Section 9.2 page 468 Financial institutions links for mutual funds - TD bank
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.tdcanadatrust.com/mutualfunds/ )
Section 9.2 page 468 Financial institutions links for mutual funds - Scotiabank
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.scotiabank.com/cda/content/0,1608,CID9465_LIDen,00.html )
Section 9.2 Question 9 Financial institutions links for GICs - BMO
Learn about GICs. Compare various banks for their GIC interest rates; determine the greatest interest on your savings.
( http://www4.bmo.com/personal/rates/0,4481,35649_3507283,00.html?pChannelId=0 )
Section 9.2 Question 9 Financial institutions links for GICs - TD bank
Learn about GICs. Compare various banks for their GIC interest rates; determine the greatest interest on your savings
( http://www.tdcanadatrust.com/GICs/ )
Section 9.2 Question 9 Financial institutions links for GICs - Scotiaonline
Learn about GICs. Compare various banks for their GIC interest rates; determine the greatest interest on your savings.
( http://www.scotiabank.com/rates/gic.html )
Section 9.3 page 476 Financial institutions links for credit cards - BMO
Compare different credit card services and their fees to obtain the best one for the lowest charge.
( http://www4.bmo.com/personal/0,4344,35649_36838,00.html )
Section 9.3 page 476 Financial institutions links for credit cards - TD bank
Compare different credit card services and their fees to obtain the best one for the lowest charge.
( http://www.tdcanadatrust.com/tdvisa/index.jsp )
Section 9.3 page 476 Financial institutions links for credit cards - Scotiaonline
Compare different credit card services and their fees to obtain the best one for the lowest charge
( http://www.scotiabank.com/cda/content/0,1608,CID517_LIDen,00.html )
Section 9.5 page 489 links for auto insurance rates - TD insurance
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase.
( http://www.tdinsurance.com/?campaignid=GOOG490000&s_kwcid=car insurance company|528182530... )
Section 9.5 page 489 links for auto insurance rates - RBC
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase.
( http://www.rbcinsurance.com/quote/rbc/personal/homeandauto.html )
Section 9.5 page 489 links for auto insurance rates - PC
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase.
( http://www.pcinsurance.ca/ROCEN/AI.asp?webcode=GOGKWD001?WT.srch=1&gclid=CMTgpfX974sCFSGk... )

Geometer's Sketchpad Graphs

Internet Connects


SOHCAHTOA Triangle
A downloadable demonstration of the sine, cosine, and tangent ratios for right triangles. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/SOHCAHTOATriangle/ )
Sine Law Applet
An applet (click red button) which allows you to explore the law of sines.
( http://www.univie.ac.at/future.media/moe/galerie/trig/trig.html )
The Law of Sines
A downloadable demonstration of the sine law. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/TheLawOfSines/ )
A Visual Proof of the Cosine Law
At the bottom of this page is an interactive applet which gives a visual proof of the cosine law (and shows its relation to the Pythagorean Theorem in the process).
( http://www.ies.co.jp/math/java/trig/yogen_auto/yogen_auto.html )

Internet Connects


M&M’s applet
This applet allows you to pick and categorize samples of “virtual M&M’s”.
( http://www.stat.sc.edu/~west/applets/mandmtest.html )
Psychic Test Demonstration
This fun applet lets you test your ability to predict a virtual coin toss and in the process demonstrate the relationship between experimental and theoretical probability. You can change the probability of heads, too.
( http://www.stat.sc.edu/~west/applets/psychictest.html )
Family Applets
Another applet demonstrating the relationship between experimental and theoretical probability, this time dealing with the number of boys and girls in a family.
( http://www.stat.sc.edu/~west/applets/familytest.html )
The Gallery of Data Visualization
This York University website has a comprehensive investigation of what makes for good, bad, and misleading graphs and charts. It also includes a fascinating history of using pictures to display data, including the site’s choices for best (and worst) ever.
( http://www.math.yorku.ca/SCS/Gallery/ )

Internet Connects


Section 3.2 page 111

Statistics Canada
This where researchers from all over the world go to gather officially-collected data on all aspects of Canadian life.
( http://www.statcan.ca/start.html )
Virtual Laboratories in Probability and Statistics
Click on “Applets” halfway down on the left-hand side of the page for a whole array of virtual coin, dice, spinner, and other probability experiments.
( http://www.math.uah.edu/stat/ )
Research Randomizer
A website for researchers who need to generate random numbers for random sampling.
( http://www.randomizer.org/ )
The Canadian Economy Online
This page is part of the Statistics Canada website, which is billed as the “one-stop guide to the national economy”.
( http://www.canadianeconomy.gc.ca/english/economy/index.cfm )
The Gallery of Data Visualization
This York University website has a comprehensive investigation of what makes for good, bad, and misleading graphs and charts. It also includes a fascinating history of using pictures to display data, including the site’s choices for best (and worst) ever.
( http://www.math.yorku.ca/SCS/Gallery/ )
Mean vs. Median
Learn how changes in the values of a data set may (or may not) change the values of the mean and median values of the data set.
( http://www.stat.sc.edu/~west/applets/box.html )
The Normal Distribution
You can use this applet to investigate how changes to the mean and standard deviation affect the normal distribution.
( http://www.stat.sc.edu/~west/applets/normaldemo1.html )
Bias in Measurement
There are two videos accessible from the bottom of this page which discuss measurement and response bias.
( http://www.learner.org/channel/courses/learningmath/data/session1/part_c/index.html )

Geometer's Sketchpad Graphs

Geometer's Sketchpad



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

Internet Connects


Quadratic Curve Fitting
A downloadable demonstration which provides practice for finding quadratic curves of best fit. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/LinearAndQuadraticCurveFittingPractice/ )
Investigating
The applet on this page helps you discover what effects changes in a, b, and c have in the equation .
( http://www.mathsnet.net/asa2/2004/c12quad.html )

Geometer's Sketchpad Graphs

Internet Connects


Multiplying Binomials Review
A colourful review of multiplying binomials.
( http://regentsprep.org/REgents/math/polymult/Smul_bin.htm )
Multiplying Binomial Practice
A short online quiz for extra practice in multiplying binomials.
( http://regentsprep.org/REgents/math/polymult/BinJava.htm )
Completing the Square I
For students learning how to convert quadratics from standard to vertex form, this page and the one following provide explanation and practice.
( http://www.csm.astate.edu/algebra/complete.html )
Completing the Square II
For students learning how to convert quadratics from standard to vertex form, this page and the one preceding provide explanation and practice.
( http://www.csm.astate.edu/algebra/csq.html )
Factoring trinomials
A colourful review of factoring trinomials of the form.
( http://regentsprep.org/regents/Math/factor/Ltri1.htm )
Roots of Quadratic Functions
This Java Sketchpad investigation looks at the roots of parabolic functions.
( http://my.nctm.org/eresources/repository/shared/jsp/complex_rts.htm )

Video Tutorials

Video Tutorial: Using Virtual Algebra Tiles
with The Geometer's Sketchpad®

The Geometer's Sketchpad includes a pre-made sketch Algebra Tiles.gsp that allows you to work with virtual algebra tiles on your computer screen. This video tutorial shows you how to

● open the virtual algebra tiles sketch
● draw virtual algebra tiles on your computer screen
● assemble tiles to represent algebraic expressions
● change the value of the variable that a tile represents

Virtual Algebra Tiles Tutorial (Windows Media)
Virtual Algebra Tiles Tutorial Macromedia Flash






Note: You will need the newest version of the Flash Player plug-in to view the animations.

Internet Connects


Section 6.1 page 298

Golden Section in Art and Architecture
Check out the slide presentation on the application of geometric knowledge in famous art and architecture masterpieces. Learn how the ancient Egyptians used magical properties to design their great pyramids. See the golden rectangles in Da Vinci's famous Mona Lisa. Click on the various buttons to access additional animated features and to download interesting exercises.
( http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm )
Section 6.1 page 298

Pattern Blocks: Exploring Fractions with Shapes
Click on various geometric shapes in the applet and drag them around to create your own patterns. Check out the amazing features of the program. You will find it is a unique way of exploring fractions!
( http://ejad.best.vwh.net/java/patterns/patterns_j.shtml )
Section 6.1 page 300

Math Forum: What is a Tessellation?
Learn all about tessellation and gets links to a variety of resources to help making the learning about tessellations fun and challenging. For those who need it, a tutorial on tessellations is provided along with interesting examples.
( http://mathforum.org/sum95/suzanne/whattess.html )
Section 6.1 page 300

How Cell Phones Works
Want to learn more about how cell phones work? The check out this Web site. Read all about some great features of cell phones that you may have not known about before. Learn about cell-phone frequencies, cell-phone channels and the newest cell-phone technologies. Make yourself an expert on cell phones!
( http://www.howstuffworks.com/cell-phone.htm )
Section 6.1 page 301

Nova online: Pyramid – The inside Story
Take a virtual tour of the Great Pyramid. Explore its chambers and passageways or follow a team of archaeologists and they excavate the bakery that fed the pyramid builders.
( http://www.pbs.org/wgbh/nova/pyramid/ )
Section 6.2 page 306

Habitat
Interested in Habitat '67, the unique apartment complex designed by Canadian architect Moshe Safdie? This website gives a comprehensive view of the development of Habitat '67 project, and it presents the various stages of the construction process through an animated three-dimensional model. In addition, the original architectural and structural drawings are also shown here.
( http://cac.mcgill.ca/safdie/habitat/ )
Section 6.2 page 309

Star Trek New Voyages
Amateur filmmakers often use commonly available drawing and design software to create inexpensive special effects for their productions. Check out the scenes behind New Trek, and you may learn a lot more about designing, drawing, as well as filmmaking.
( http://newvoyages.com/ )
Section 6.3 page 319

A Brief History of Packaging
From containers provided by nature to the use of complex materials and processes, this Web site provides the history of packaging, the innovations and technology. Interested in package design? This is a great site for you to learn more about it.
( http://edis.ifas.ufl.edu/pdffiles/AE/AE20600.pdf )
Section 6.5 page 337

Royal Homes
Learn about modular homes, check out a variety of floor plans and construction options the company provides you on the Web site. You may be inspired to design a special home yourself!
( http://www.royalhomes.com/ )
The Golden Ratio I
Devoted to the golden ratio, its history, its applications, and its beauty.
( http://library.thinkquest.org/C005449/tour.html )
The Golden Ratio and the Pyramids
This page talks about the link between the golden ratio and its role in Egyptian art and architecture.
( http://www.geocities.com/CapeCanaveral/Station/8228/arch.htm )
Tessellations
A site which explains what tessellations are, how they are constructed, and has links to tessellation creation software.
( http://www.tessellations.org/ )
Penrose Tiling
There is a special kind of tessellation called Penrose Tiling which has links to the golden ratio. This site is about Penrose Tiling.
( http://goldennumber.net/penrose.htm )
Habitat ‘67
The official Habitat ’67 website.
( http://www.habitat67.com/site_en.html )
Habitat ’67 Floor Plans
Pictures of the original architectural floor plans for Habitat ’67.
( http://expo67.ncf.ca/floor_plan_habitat_expo67.html )
Habitat ’67 Planning Drawings
Pictures of the original perspective and orthographic drawings for Habitat ’67.
( http://cac.mcgill.ca/safdie/habitat/showplans.htm )

Internet Connects


Section 7.1 page 359

Earthquakes Canada
Are you prepared for earthquakes? How much do you know about earthquakes in Canada? Check out this official Web site to learn about recent earthquakes in Canada and to get safety tips on preparing for earthquakes.
( http://earthquakescanada.nrcan.gc.ca/ )
Section 7.6 Question 8

Half-Life
Learn more about half-life. Includes an applet that shows radioactive decay.
( http://www.colorado.edu/physics2000/isotopes/radioactive_decay3.html )
Section 7.6 Question 11

Inflation Calculator – Bank of Canada
Do you want to know if the cost of living is rising and by how much? This inflation calculator uses the monthly consumer price index from 1914 to the present to show changes in the cost of a fixed "basket" of consumer purchases. How much is $20 worth today when to compared to 1914?
( http://www.bankofcanada.ca/en/rates/inflation_calc.html )
Section 7.6 Question 12

Will World's Population be 10000 Million?
This article presents the population estimates from 3000 B.C.E. to 2006 C.E., and analyses the trends in population growth for future years. How big will Earth’s population be when you turn 21?
( http://johnalexwood.blogspot.com/2007/01/will-worlds-population-be-10000-million.html )
Section 7.6 Question 12

Historical Estimates of World Population
The U.S. census Bureau provides a chart of population estimates from 10 000 C.E. to 1950 B.C.E. Compare this data here with the population estimates from the other Web site. Are they reasonably similar?
( http://www.census.gov/ipc/www/worldhis.html )
Moonquakes
MathConnect, page 359 The official NASA website’s look at moonquakes.
( http://science.nasa.gov/headlines/y2006/15mar_moonquakes.htm )
Exponent Laws
An online tutorial which explains the exponent laws using a series of interactive exhibits.
( http://argyll.epsb.ca/jreed/math9/strand1/1107.htm )
Exponential Growth
A downloadable demonstration exponential growth. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/ContinuousExponentialGrowth/ )
Exponential Function Applet
A simple applet which allows you to explore how changes to a and b affect the function.
( http://members.shaw.ca/ron.blond/TLE/ExpFcn.APPLET/index.html )
Half-Life Demonstration
A visual demonstration of half-life. Needs Shockwave Player.
( http://www.7stones.com/Homepage/Publisher/halfLife.html )
Half-Life Explanation
A short online tutorial about half-life which includes a half-life calculator similar to a TVM solver.
( http://www.ausetute.com.au/halflife.html )
Consumer Price Index
The official Statistics Canada page on the Consumer Price Index. Includes an Adobe PDF document with a complete explanation and history.
( http://www.statcan.ca/bsolc/english/bsolc?catno=62-557-X&CHROPG=1 )
Consumer Price Index
This is the Bank of Canada’s page on the CPI with data going back to 1995.
( http://www.bankofcanada.ca/en/cpi.html )
World Population 10 000 BC – present
Various estimates of world population in table form from the US Census Bureau.
( http://www.census.gov/ipc/www/worldhis.html )
World Population 1950
Official US Census Bureau estimates of world population from 1950 onward.
( http://www.census.gov/ipc/www/idb/worldpop.html )

Internet Connects


Section 8.2 Question 11

Interest Rates

Compare interest rates for personal loans that could be used to purchase a car.


http://www.ingdirect.ca/en/accounts-rates/ourrates/index.html

( http://www.ingdirect.ca/en/accounts-rates/ourrates/index.html )
http://www.banking.pcfinancial.ca/a/rates/allPurposeLoanRate.page

( http://www.banking.pcfinancial.ca/a/rates/allPurposeLoanRate.page )
http://www.cibc.com.ca/loans/carloan.html

( http://www.cibc.com.ca/loans/carloan.html )
Car Loan Interest Rate Comparison
Use this website to compare loan rates in your area.
( http://www.bankrate.com/can/default.asp# )
TVM Tutorial
A short tutorial on using the TVM solver.
( http://pages.central.edu/emp/lintont/classes/spring04/finite/tvmintro/tvm.html )

Internet Connects


Section 9.1 page 462

Compare Rates
This is a comprehensive and objective Web site that lets you compare rates for mortgages, for home equity loans, auto loans, and much, much more. Become an informed about your finances!
( http://www.bankrate.com/ )
Fees and Service Charges
Compare various banks and companies offering personal loans on the basis of fees and service charges. Which bank is the best one for you?
( http://economictimes.indiatimes.com/Money_Matters/LoanCentre/Personal_Loans/Compare/Fees_... )
Section 9.2 page 462

BMO
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.mbanx.ca/mutualfunds/index.html )
TD Bank
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.tdcanadatrust.com/mutualfunds/ )
Scotia Bank
Compare various banks on their mutual funds rates and find out the best plan for your investment.
( http://www.scotiabank.com/cda/content/0,1608,CID9465_LIDen,00.html )
Section 9.3 page 476

Links of Various Financial Institutions on Credit Cards
Compare different credit card services and their rates to obtain the best one for the lowest charge. Are all credit card companies alike?
( http://www4.bmo.com/personal/0,4344,35649_36838,00.html )
Financial Institutions on Credit Cards - TD Bank

( http://www.tdcanadatrust.com/tdvisa/index.jsp )
Financial Institutions on Credit Cards - Scotia Bank
Compare different credit card services and their rates to obtain the best one for the lowest charge. Are all credit card companies alike?
( http://www.scotiabank.com/cda/content/0,1608,CID517_LIDen,00.html )
Section 9.5 page 489

Auto Insurance Rates - TD
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase. Get the best insurance deal for you and your family.
( http://www.tdinsurance.com/?campaignid=GOOG490000&s_kwcid=car insurance company|528182530... )
Auto Insurance Rates - RBC
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase. Get the best insurance deal for you and your family.
( http://www.rbcinsurance.com/quote/rbc/personal/homeandauto.html )
Auto Insurance Rates - PC
Find out about different insurance companies, the cost of car insurance, and the types of coverage you can purchase. Get the best insurance deal for you and your family.
( http://www.pcinsurance.ca/ROCEN/AI.asp?webcode=GOGKWD001?WT.srch=1&gclid=CMTgpfX974sCFSGk... )
Mutual Fund Comparison Tool
Use this to compare the performance of mutual funds offered by the Royal Bank of Canada.
( http://www.rbcam.com/RBC:SF7AMo71A8UAHqDyDz4/learning/compare-mutual-funds.html )
2007 Mutual Fund Honour Roll
Canadian Business Magazine’s comparison of the best-performing mutual funds of 2007.
( http://www.canadianbusiness.com/rankings/mutualfunds/list.jsp )
What is a GIC?
Basic information on GIC’s.
( http://www.investored.ca/en/investoranswers/B/25_gic/Pages/1_gic.aspx )
Credit Card Comparison
Compare interest rates, annual fees, grace periods, and cash advance interest rates for all Canadian credit cards available for students.
( http://www.bankrate.com/can/rate/cc_ratehome.asp?product=cc&prodtype=cc&web=can&R1=13&car... )
Car Insurance Comparison
Allows you to get and compare car insurance quotes free of charge.
( http://www.kanetix.ca/auto-insurance )