Principles of Mathematics 10 Teacher Centre


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Assessment BLMs

BLMs in PDF format

A–1 Assessment Recording Sheet (57.0K)
A–2 Attitudes Assessment Checklist (49.0K)
A–3 Portfolio Checklist (64.0K)
A–4 Presentation Checklist (47.0K)
A–5 Problem Solving Checklist (68.0K)
A–6 Knowledge/Understanding General Scoring Rubric (89.0K)
A–7 Thinking General Scoring Rubric (91.0K)
A–8 Application General Scoring Rubric (87.0K)
A–9 Communication General Scoring Rubric (89.0K)
A–10 Observation General Scoring Rubric (84.0K)
A–11 Group Work Assessment Recording Sheet (69.0K)
A–12 Group Work Assessment General Scoring Rubric (74.0K)
A–13 How I Work (62.0K)
A–14 Self-Assessment Recording Sheet (57.0K)
A–15 Self-Assessment Checklist (58.0K)
A–16 My Progress as a Mathematician (58.0K)
A–17 Teamwork Self Assessment (59.0K)
A–18 My Progress as a Problem Solver (59.0K)
A–19 Assessing Work in Progress (64.0K)
A–20 Learning Skills Checklist (68.0K)
A–21 Opinion Piece Checklist (65.0K)
A–22 Report Checklist (56.0K)
A–23 News Report Checklist (67.0K)


BLMs in Word format

A–1 Assessment Recording Sheet (36.0K)
A–2 Attitudes Assessment Checklist (99.0K)
A–3 Portfolio Checklist (31.0K)
A–4 Presentation Checklist (93.0K)
A–5 Problem Solving Checklist (35.0K)
A–6 Knowledge/Understanding General Scoring Rubric (33.0K)
A–7 Thinking General Scoring Rubric (35.0K)
A–8 Application General Scoring Rubric (32.0K)
A–9 Communication General Scoring Rubric (34.0K)
A–10 Observation General Scoring Rubric (39.0K)
A–11 Group Work Assessment Recording Sheet (31.0K)
A–12 Group Work Assessment General Scoring Rubric (102.0K)
A–13 How I Work (94.0K)
A–14 Self-Assessment Recording Sheet (31.0K)
A–15 Self-Assessment Checklist (97.0K)
A–16 My Progress as a Mathematician (98.0K)
A–17 Teamwork Self Assessment (93.0K)
A–18 My Progress as a Problem Solver (98.0K)
A–19 Assessing Work in Progress (30.0K)
A–20 Learning Skills Checklist (34.0K)
A–21 Opinion Piece Checklist (95.0K)
A–22 Report Checklist (93.0K)
A–23 News Report Checklist (32.0K)






Chapter BLMs

General Internet Connects


The Shodor Education Foundation
The Shodor website contains a number of other useful applets aimed at various mathematical concepts.
( http://www.shodor.org/curriculum/subject.php )
Leading Math Success
Leading Math Success resources (TIPS4RM, Notable Strategies, etc.)Support for students who struggle – geared toward applied level students, but much of the material could still be useful for academic remediation, intervention, consolidation, etc.
( http://www.curriculum.org/lms/library.html )
Atomic Learning
Self-guided Geometer's Sketchpad learning activities
( http://www.atomiclearning.com/sketchpad )
Ontario Association of Mathematics Educators
Leading Math Success search engine Search topics by grade and/or topic and/or type
( http://oame.on.ca/LMSTIPS/ )
Ontario Association of Mathematics Educators
Think Literacy: Mathematics Approaches
( http://www.oame.on.ca/main/index1.php?lang=en&code=ThinkLit )
National Council of Teachers of Mathematics
Various links to resources and teaching ideas, including the NCTM Standards (U.S. site)
( http://www.nctm.org/ )
Stenhouse Publishers
Stenhouse Publishers provides professional development books and videos for teachers. Check out the website for interesting tips, videos, and articles!
( http://www.stenhouse.com/html/home.htm )

Interactive Lessons

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

4.5 Quadratic Relations of the Form y = a(x-r)(x-s) (1812.0K)
7.2 Use Similar Triangles to Solve Problems (1907.0K)


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

Teachers Resource

Front Matter (117.0K)
Overview (166.0K)
Table of Contents (65.0K)

Chapter 1 Linear Systems (249.0K)
1.1 Connect English With Mathematics and Graphing Lines (120.0K)
1.2 The Method of Substitution (174.0K)
1.3 Equivalent Linear Relations and Equivalent Linear Systems (782.0K)
1.4 The Method of Elimination (191.0K)
1.5 Solve Problems Using Linear Systems (159.0K)
Chapter 1 Review (77.0K)
Chapter 1 Problem Wrap-Up (89.0K)
Chapter 1 Practice Test (93.0K)

Chapter 2 Analytic Geometry (161.0K)
2.1 Midpoint of a Line Segment (126.0K)
2.2 Length of a Line Segment (133.0K)
2.3 Apply Slope, Midpoint, and Length Formulas (117.0K)
2.4 Equation for a Circle (250.0K)
Chapter 2 Review (89.0K)
Chapter 2 Problem Wrap-Up (163.0K)
Chapter 2 Practice Test (104.0K)

Chapter 3 Geometric Properties (151.0K)
3.1 Investigate Properties of Triangles (103.0K)
3.2 Verify Properties of Triangles (125.0K)
3.3 Investigate Properties of Quadrilaterals (116.0K)
3.4 Verify Properties of Quadrilaterals (108.0K)
3.5 Properties of Circles (92.0K)
Chapter 3 Review (89.0K)
Chapter 3 Problem Wrap-Up (92.0K)
Chapter 3 Practice Test (100.0K)
Chapters 1 to 3 Review (81.0K)
Tasks (263.0K)

Chapter 4 Quadratic Relations (170.0K)
4.1 Investigate Non-Linear Relations (93.0K)
4.2 Quadratic Relations (159.0K)
4.3 Investigate Transformations of Quadratics (380.0K)
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/448210/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 Graph y = a(x - h) 2 + k
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/448210/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>4.5 Quadratic Relations of the Form y = a(x - r)(x - s)
4.6 Negative and Zero Exponents (212.0K)
Chapter 4 Review (94.0K)
Chapter 4 Problem Wrap-Up (92.0K)
Chapter 4 Practice Test (104.0K)

Chapter 5 Quadratic Expressions (168.0K)
5.1 Multiply Polynomials (121.0K)
5.2 Special Products (113.0K)
5.3 Common Factors (103.0K)
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/448210/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 Quadratic Expressions of the Form x2 + bx + c
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/448210/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 Factor Quadratic Expressions of the Form ax2 + bx + c
5.6 Factor a Perfect Square Trinomial and a Difference of Squares (100.0K)
Chapter 5 Review (77.0K)
Chapter 5 Problem Wrap-Up (83.0K)
Chapter 5 Practice Test (91.0K)

Chapter 6 Quadratic Equations (176.0K)
6.1 Maxima and Minima (123.0K)
6.2 Solve Quadratic Equations (106.0K)
<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=gif::::/./olc2/dl/448210/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>6.3 Graph Quadratics Using the x-Intercepts
6.4 The Quadratic Formula (200.0K)
6.5 Solve Problems Using Quadratic Equations (107.0K)
Chapter 6 Review (78.0K)
Chapter 6 Problem Wrap-Up (82.0K)
Chapter 6 Practice Test (172.0K)
Chapters 4 to 6 Review (70.0K)
Tasks (212.0K)

Chapter 7 Trigonometry of Right Triangles (176.0K)
7.1 Investigate Properties of Similar Triangles (95.0K)
7.2 Use Similar Triangles to Solve Problems (101.0K)
7.3 The Tangent Ratio (121.0K)
7.4 The Sine and Cosine Ratios (122.0K)
7.5 Solve Problems Involving Right Triangles (104.0K)
Chapter 7 Review (78.0K)
Chapter 7 Problem Wrap-Up (122.0K)
Chapter 7 Practice Test (86.0K)

Chapter 8 Trigonometry of Acute Triangles (178.0K)
8.1 The Sine Law (120.0K)
8.2 The Cosine Law (130.0K)
8.3 Find Angles Using the Cosine Law (122.0K)
8.4 Solve Problems Using Trigonometry (101.0K)
Chapter 8 Review (88.0K)
Chapter 8 Problem Wrap-Up (101.0K)
Chapter 8 Practice Test (84.0K)
Chapters 7 and 8 Review (80.0K)
Tasks (281.0K)
Course Review (90.0K)

Use Technology: The Geometer's Sketchpad

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

<a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/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/9780070973329/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 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 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


To view these files, Adobe's free Flash Player application is required.


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


<a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/../../student/9780070973329/olcweb/cgi/pluginpop.cgi?it=jpg::::/../../student/9780070973329/olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="../../student/9780070973329/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>



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.




Use Technology: Navigator


Chapter 1 Navigator Learncheck (19.0K)
Chapter 1 TI Navigator Suggestions (32.0K)



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










Use Technology: Navigator


Chapter 2 Navigator Learncheck (13.0K)
Chapter 2 TI Navigator (116.0K)
Chapter 2 TI Navigator Suggestions (80.0K)



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


Section 2.1 page 59 Texas Instruments
Free versions of Cabri® Jr. are available here for both TI-83 Plus and TI-84 Plus calculators.
( http://education.ti.com/educationportal/sites/US/productDetail/us_cabrijr_83_84.html )
Section 2.1 Question 21
Make a Sierpinski Triangle, or check out the links to other fractals.
( http://math.rice.edu/~lanius/fractals/ )
Section 2.1 Question 21
This site provides a rather advanced explanation of the theory behind the Sierpinski Triangle (which this site calls the Sierpinski sieve). Scroll down to view the formulas, and follow the links to the wide variety of related math terms and concepts.
( http://mathworld.wolfram.com/SierpinskiSieve.html )
Section 2.1 Question 21
Construct your own Sierpinski Triangle using the applet provided, or let the Serendip software do it for you. There are also links to interesting sites on fractals, and to a Chaos game.
( http://serendip.brynmawr.edu/playground/sierpinski.html )
Section 2.1 Question 21
This Java applet also draws a triangular Sierpinski Gasket.
( http://www.jamesh.id.au/fractals/ifs/triangle.html )
Section 2.1 Question 27 distance calculator
Find the distance between two cities anywhere in the world, measured in kilometres, miles, and nautical miles. Or input the longitude and latitude of any two points on Earth and find the surface distance between them.
( http://www.wcrl.ars.usda.gov/cec/java/lat-long.htm )
Section 2.1 Question 27 distance calculator
Select your “to” and “from” locations from a list of hundreds of cities around the world. This application shows you their coordinates and locations on a map and on a satellite image, as well as calculating the distance between them and the bearing.
( http://www.mapcrow.info/ )
Section 2.1 Question 27 distance calculator
Find the distance between any two major cities around the world, as well as their longitude and latitude. This site also provides a satellite image of Earth showing the shortest path between the two locations.
( http://www.timeanddate.com/worldclock/distance.html )
Section 2.2 Question 18 Koch snowflake
This site provides a rather advanced explanation of the theory behind the Koch snowflake. Scroll down to view the formulas, and follow the links to the wide variety of related math terms and concepts.
( mathworld.wolfram.com/KochSnowflake.html )
Section 2.2 Question 18 Koch snowflake
This multi-coloured diagram shows the first four iterations of the Koch snowflake very clearly. Also provided is an explanation of the seemingly paradoxical properties of the Koch snowflake.
( http://scidiv.bcc.ctc.edu/Math/Snowflake.html )
Section 2.2 Question 18 Koch snowflake
Select the Learner tab for a step-by-step explanation of how Koch’s snowflake is formed. Then go to the Activity tab to create a Koch snowflake of your own using the applet.
( http://www.shodor.org/interactivate/activities/KochSnowflake/ )
Section 2.2 Question 18 Koch snowflake
This Koch snowflake site has simple, clear instructions and diagrams on constructing the snowflake, as well as links to other math-related sites.
( http://math.rice.edu/~lanius/frac/koch.html )

Use Technology: Navigator


Chapter 3 Navigator Learncheck (30.0K)
Chapter 3 TI Navigator Suggestions (32.0K)



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


Section 3.2 Making Connections generating golden triangles and spirals
This site shows the steps for drawing a golden spiral based on a golden triangle, but does not have an applet.
( http://eduwww.mikkeli.fi/opetus/myk/kv/comenius/kultainen.htm )
Section 3.3 Question 18 Penrose tilings
See lots of Penrose tilings, learn more about them, and construct some for yourself.
( http://mathworld.wolfram.com/PenroseTiles.html )
Section 3.3 Question 18 Penrose tilings
See lots of Penrose tilings, learn more about them, and construct some for yourself.
( www.uwgb.edu/DutchS/symmetry/penrose.htm )
Section 3.3 Question 18 Penrose tilings
See lots of Penrose tilings, learn more about them, and construct some for yourself.
( www.scienceu.com/geometry/articles/tiling/penrose.html )
Section 3.3 Question 18 Penrose tilings
See lots of Penrose tilings, learn more about them, and construct some for yourself.
( http://www.spsu.edu/math/tile/aperiodic/penrose/penrose1.htm )
Chapter 3 Review Chapter Problem Wrap-Up golden rectangles
This a good, brief, clear overview of the Golden Rectangle and the Golden Ratio.
( http://www.jimloy.com/geometry/golden.htm )
Chapter 3 Review Chapter Problem Wrap-Up golden rectangles
You can learn about the Golden Ratio and the Fibonacci sequence by working through these activities.
( http://www.geom.uiuc.edu/~demo5337/s97b/ )
Chapter 3 Review Chapter Problem Wrap-Up golden rectangles
Find the perfection of the golden ratio in everyday objects, art, architecture, nature, and human faces.
( http://cuip.uchicago.edu/~dlnarain/golden/activities.htm )
Chapter 3 Review Chapter Problem Wrap-Upgolden rectangles
This student-created web site has pages on golden rectangles and golden spirals, and helpful diagrams on grid paper.
( http://library.thinkquest.org/C005449/home.html )
Chapter 3 Review Chapter Problem Wrap-Up golden rectangles
Does phi really appear in Egyptian pyramids and other ancient structures? Find out at this information-rich web site.
( http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html )

Use Technology: Navigator


Chapter 4 Navigator Learncheck (20.0K)
Chapter 4 TI Navigator Suggestions (196.0K)



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










Use Technology: Navigator


Chapter 5 Navigator Learncheck (26.0K)
Chapter 5 TI Navigator Suggestions (33.0K)



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










Use Technology: Navigator


Chapter 6 Navigator Learncheck (17.0K)
Chapter 6 TI Navigator Suggestions (47.0K)



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


Section 6.5 Question 25
See and learn about the liquid mirror telescopes at the University of British Columbia.
( http://www.astro.ubc.ca/LMT )

Use Technology: Navigator


Chapter 7 Navigator Learncheck (54.0K)
Chapter 7 TI Navigator Suggestions (35.0K)



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


Section 7.1 Making Connections
You can read the fascinating history of the Quebec bridge and see photographs at this web site.
( http://www.netrover.com/~capaigle/Ponts/ponta.html )

Use Technology: Navigator


Chapter 8 Navigator Learncheck (24.0K)
Chapter 8 TI Navigator Suggestions (36.0K)



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










Use Technology: The Geometer's Sketchpad

Internet Connects


Chapter Review Chapter Problem Wrap-Up
Find out how to become a pilot in Canada at the Pilot Career Centre.
( http://www.pilotcareercentre.com/TrainingCatsByRegion.asp?TrainingRegID=1 )