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MPM2D W2011
Page history
last edited
by Steve Sweeney 12 years, 9 months ago
MPM2D - Principles of Mathematics (Academic)
This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisite: MPM1D (Grade 9 Academic Math), recommend at least 60% in MPM1D to find success in MPM2D
This page will have a daily breakdown of the course. Most recent classes are at the top of the page, while the older classes get pushed to the bottom.
The beginning of each unit will be marked in blue.
Evaluations (e.g., tests, assignments, quizzes) will be marked in red.
Returned evaluations with be marked in purple.
Date |
Topic / Lesson
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Extra Resources |
Assigned Work
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June21
@9am
|
Final Exam |
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J20 |
Review for Exam |
Questions Taken Up In Class |
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J16 |
Summative Assignment |
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J15 |
Thinking Task - Analytic Geometry & Linear Systems |
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J13
J10
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Review - Analytic Geometry & Linear Systems |
Khan Academy Video Resources for Analytic Geometry
Solving Linear Systems by Graphing
Solving Linear Systems by Substitution
Solving Linear Systems by Elimination
Solving Linear Systems by Elimination (multiplying both equations first)
Linear Systems with NO SOLUTION or INFINITE SOLUTIONS
Medians & Centroids of Triangles (only first third of video applies to MPM2D)
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J10 |
Thinking Task - Trigonometry |
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J09 |
Review - Analytic Geometry & Linear Systems |
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J08 |
Review - Trigonometry |
Khan Academy Video Resources for Trigonometry
Similar Triangles Part 1
Similar Triangles Part 2
Basic Trigonometry Part 1
Basic Trigonometry Part 2 (some Gr.11 material)
Some Worked Trig Problems from California Standardized Exam
More Worked Trig Problems from California Standardized Exam
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p. 456 #1 - 19
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J07 |
Interactive Grading of Trig Test |
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J06 |
Thinking Task - Quadratics |
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J02
M30
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Review - Quadratic Relations by Expectation |
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p.190 # 16 - 22 (do first ~8 questions for tomorrow) p.365 - 366 # 1 - 25
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M27
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Practice Task - Trigonometry
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M26 |
Test - Trigonometry |
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M25 |
Review - Trigonometry |
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p. 416 #2, 3, 5, 6, 9, 13, 14, 16 p. 453 #2, 3, 7, 8, 11, 12
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M24 |
Applications of Trigonometry |
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p.450 # 4, 5, 6, 7, 11
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M20 |
Choosing Between Sine & Cosine Law |
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M19 |
The Cosine Law |
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p. 438 - 439 #1, 2ac, 3 p. 443 - 445 #2, 5ac, 6, 15 |
M18 |
The Sine Law |
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p. 427 #1a, 2ac, 3 p. 432 - 434 #2, 3c, 6, 14, 15 |
M17 |
Applications of Right Triangles |
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p.412-414 # 2, 3, 7, 10, 11 |
M16 |
Solving Right-Angled Triangles |
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p.403-406 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab |
M13 |
Assignment - Similar Triangles & Trigonometric Ratios |
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M12 |
Trigonometric Ratios |
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p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13 |
M11 |
Activity - Ratios of Right Triangles
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M10 |
Applications of Similar Triangles |
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Read p.382-385
Answer p.386 # 2, 5, 7, 9, 11, 12
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M09 |
Congruent & Similar Triangles |
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M06 |
students grade own tests on Quadratics |
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M05
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Practice Thinking Task - Quadratics
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M04 |
Test - Quadratic Relations |
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M03
M02
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Review |
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Pg. 241 #19abe Pg.185 #1b, 3b, 5, 9, 11ad, 12, 16 Pg. 304 #1a, 3, 5, 12, 15ac, Pg. 361 #5, 7, 9, 11ae, 17
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A29
A28
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Determining & Solving Equations from Word Problems |
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complete Ex.5 from class
p. 158 #14, 15 p. 344 #15, 16 p. 359 #12
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A27 |
Word Problems Given Equations |
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p. 356 #2, 3, 6, 8 |
A26 |
Mid-Unit Review |
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p. 160#1, 2a, 3, 4, 7, 9
p. 274 #5, 7 p. 335 #7
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A21 |
Determining Roots from Standard Form using Discriminant |
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p. 350-351 # 2, 3, 4, 5, 9, 10 |
A20 |
Determining Roots from Factored or Vertex Form |
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A19 |
Modelling Quadratic Relations from Graphs and Other Data |
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p.280-284 # 2abc, 3ce, 4abe, 5bdf, 6cd |
A18 |
Finding Vertex Form by Completing the Square |
Video Tutorial - Solving by Completing the Square
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PST practice: p.230 #3bef, 4ad, 6
p. 331 # 1, 2, 3, 4, 5abcf, 7ade,
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A15
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Quadratic Relations in Vertex Form |
Khan Academy - Completing the Square
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p.301 # 1, 5, 7
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A14
A13
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Translations of Quadratic Relations |
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p. 269-271 # 1, 3, 4 ,6 ,7 ,8, 11 |
A12
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Stretching & Reflecting Quadratic Relations
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Interactive Translations Applet
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p. 256-258 # 1, 3, 4 ,5 ,7 ,8
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A11 |
Characteristics of Quadratic Relations
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Handout - Characteristic of Quadratic Relations
Khan Academy - Graphing a Quadratic Relation
Khan Academy - Properties of the Graph of a Quadratic Relation
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p. 145 # 1-6, 7ef, 9ab
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A08
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Introduction to Quadratic Relations
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Handout - Introduction to Quadratic Relations
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p. 137 # 1, 2, 3, 4, 5ab, 6, 7
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Unit 4 - Quadratics, Part II |
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A07 |
Test - Quadratics, Part I |
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A05 |
Review - Quadratics, Part I |
Factoring Practice
(2 sheets, version A, B,
with solutions)
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p.186 # 14, 15 p.240 # 2, 6, 10, 13, 14, 16, 17, 18* p.361 # 1, 3, 8
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A04 |
Special Cases of Quadratic Equations |
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p. 343 # 3, 4, 5cd |
A01 |
Solving Quadratic Equations in Standard Form |
Khan Academy - Using the Quadratic Relation
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p. 320 # 4ac, 8ace, 9abcd p. 343 # 1ad, 5af, 8ce |
M31 |
Solving Quadratic Equations in Factored Form |
Khan Academy - Solving Quadratics by Factoring |
p. 155-157 # 1i (for each of abc), #4abe (find zeros only), #17 |
M30 |
Factoring Special Patterns |
Khan Academy - Solving Complex Trinomials by Factoring
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p. 230-231 # 3bc, 4bc, 5, 6, 7, 10, 11, 14 |
M29 |
Factoring Complex Trinomials Algebraically |
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M28 |
Factoring Complex Trinomials using Tiles |
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p.222 # 1, 2, 5ae, 6d (common factor first)
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M25 |
Common Factors |
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p.202-203 # 3bd, 5bc, 6def, 7, 8, 9, 10
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M24 |
Factoring Simple Trinomials |
Khan Academy - Solving Simple Quadratics by Factoring
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p.211-213 #1, 2b, 3bc, 4, 7, 8, #9(look for common factors first), #12
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M23 |
Expanding Special Patterns |
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p. 166 # 6, 7, 9ef, 10ef
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M22 |
Expanding Using Area Model & Algebraically |
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p.166-167 # 3-5(odd) # 8-10(odd)
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M21 |
Expanding Using Alge-Tiles |
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Unit 3 - Expanding & Factoring |
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M11 |
Test - Unit 2 - Analytic Geometry |
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M10 |
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M09 |
Review
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p124-125 #1, 2, 3, 6, 7, 8, 9, 10, 11, 13, 15, 16, 18, 20a, 21, 22, 23
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M08
M07
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Applications of Triangle Centres
Triangle Centres
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p.120-121 # 6, 8, 9, 10 + problem from class (see notes)
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M04 |
Special Lines in Triangles |
Handout#1: Geometry Diagrams
Handout#2: Step by Step Instructions
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p.79 #12 p.80 #13c,14 p.102 #4 p.110 #13b
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M03
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M02 |
Classifying Geometric Figures |
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p.101-103 # 2, 5, 6b, 7, 8
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M01 |
Equation of a Circle in Standard Position |
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p.91-92 # 1, 2, 3a, 4, 5, 6, 8 |
F28 |
Distance Between Two Points |
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p.86-87 # 1ac, 4cd, 6, 7(draw), 12ab |
F25 |
Midpoint of a Line Segment |
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F24 |
Review - Equations of Lines using Points |
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p.68-69 # 3, 4, 5abc, 6 |
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Unit 2 - Analytic Geometry |
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F23 |
Test - Linear Systems |
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F22 |
Review - Linear Systems |
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p. 62 #5a, 6, 7bc, 9, 12acd, 13, 14, 16, 17, 18 |
F17 |
Applications of Linear Systems - Geometry & Money |
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p. 40 #17 p. 55 #9
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F16 |
Applications of Linear Systems - Mixture Problems |
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p.27 # 7 p.39 # 11 p.55 # 10, 12 |
F15 |
Applications of Linear Systems - dvt Problems |
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p.27 # 8 p.55 # 13 p.64 # 7
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F14 |
Modelling Linear Systems |
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write a system of equations for each of the following, but DO NOT SOLVE: p.27 # 8, 12, 13 p.39 #10, 11, 14, 15 p.55 # 8, 9 |
F11 |
Distinct and Coincident Lines |
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p. 59 # 1, 2a, 3abcfh, 4, 6* |
F10 |
Solving by Elimination |
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p.54 # 1, 4, 6odd, 11odd |
F09
F08
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Solving by Substitution |
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p.39-40 # 3, 4bf, 5be, 6, 8, 9bcef |
F07 |
Solving by Graphing
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p.26 # 1ab, 2a, 3ab, 4, 5abf, 6
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Unit 1 - Linear Systems |
Khan Academy - Solving Systems of Linear Equations
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F04 |
Review - Linear Relationships & Straight Lines (continued) |
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p.4 - 6 # 2 - 4, 5ace, 7abc, 11acf Extra practice: A-6: p.468 # 1bd, 2abc, 3abcd, 4 A-7: p.470 # 1abc, 2ab, 3d, 4bc, 5bc, 6 |
F03 |
Review - Linear Relationships & Straight Lines |
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F02 |
Review - Simplifying Expressions & Solving Equations |
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A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc A-9: p.472 # 1def, 3 |
F01
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Welcome to MPM2D
Review - Integers & Rational Numbers
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MPM2D W2011
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