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 70% 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.
Chapter | Lesson | Day | Status |
Topic |
Extra Resources |
Assigned Work: Nelson 10 (2007) |
Assigned Work: Nelson 10 (2010) |
0.001 |
0.00 |
1 |
Unit 0 - Introduction & Review | MPM1D - Entire Course |
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0.002 |
0.00 |
1 |
Welcome to MPM2D
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0.01 |
0.01 |
1 |
MPM1D: Integers & Order of Operations |
From Handout: A-1: p.461 # 1, 3, 4, 5 |
Worksheet (to be handed in) Extra: A-1: p.461 # 1, 3, 4, 5 |
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0.02 |
0.02 |
2 |
From Handout: A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc |
Worksheet (to be handed in) Extra: A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc |
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0.03 |
0.03 |
3 |
MPM1D: Graphing Lines Using Intercepts |
From Handout: A-6: p.468 # 1bd, 2abc, 3abcd, 4 p.6 # 10 p.12 # 1, 4 |
A-6: p.468 # 1bd, 2abc, 3abcd, 4 p.6 # 10 p.12 # 1, 4 |
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0.04 | 0.04 |
4 |
worksheet |
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1.00 |
1.00 |
5 |
Unit 1 - Linear Systems | ||||
1.012 | 1.01 |
5 |
done |
Solving Graphically & Verify Solutions |
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p.26 # 2, 3ab, 5abf, 10, 18* | |
1.03 |
1.03 |
7 |
change |
Quiz - Graph Substitution Verify |
p.32 # 4 - 6, 8, 9 | p. 59 # 1, 2a, 3abcfh, 4, 6* |
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1.013 | 1.01 |
5 |
Video: Verifying Solutions |
p.26 # 1ab, Verify 2, 3ab, 5abf |
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1.02 | 1.02 |
6 |
done |
Video: Solving by Substitution |
p.26 # 1bd, 4, 5, 7, 8, 12-14, 16, 21* |
p.39-40 # 3, 4bf, 5be, 9bcef |
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1.041 | 1.04 |
8 |
done |
Video: Solving by Elimination |
p.40 # (1-7)(ad), 10, 12c, 13, 14a, 17, (20-22)* |
p.54 # 1, 4, 6odd, 11odd, 20* |
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1.042 | 1.05 |
9 |
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Review: Graph, Sub, Eliminate Quiz - Solve, Verify |
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complete previous homework extra: additional problems extra: challenge problems |
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1.011 |
1.06 |
10 |
(equations from words) |
Model Equations ONLY! (do not solve) p.46 # 1, 3, 4, 7, 8, 10, 13, 15, 16, (17-19)* |
Model Equations ONLY! (do not solve) p.27 # 8, 12, 13 |
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1.051 |
1.07 |
11 |
Word Problems |
Video: Distance-Speed-Time Problems |
p.46 # 7, 8, 17*, 18* |
p.27 # 8 p.55 # 13 p.64 # 7 |
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1.052 |
1.08 |
12 |
Mixture-Percent |
Video: Mixture-Percentage Problems |
p.46 # 9, 10, 13, 19*, 20* |
p. 27 # 7 p. 39 # 11 p. 55 # 10, 12 |
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1.053 |
1.09 |
13 |
Geometry-Money |
Video: Geometry-Money Problems |
p.46 # 3, 4, 11, 12, 15, 16 |
p. 40 #17 p. 55 #9 plus: Erik has $4.80 in nickels and quarters. If he has 6 more nickels than quarters, how many of each does he have? |
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1.98 | 1.10 |
14 |
Review - Linear Systems |
p. 62 #5a, 6, 7bc, 9, 12acd, 13, 14, 16, 17, 18 |
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1.99 | 1.11 |
15 |
Test: Linear Systems | ||||
2.00 |
2.00 | Unit 2: Analytic Geometry |
All Lessons |
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3.00 | 3.00 | Unit 3: Geometric Properties | |||||
2.01 | 2.01 | |
Midpoint of a Line Segment |
p.78 # 2ac, 3b, 4e, 5, 6, 8, 9, 11 |
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2.02 | 2.03 | p.86 # 1ac, 4cd, 6, 7(draw), 12ab | |||||
2.04 | 2.04 | p.91 # 1, 2, 3a, 4, 5, 6, 8, 11, 14 |
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3.001 |
p.101 # 2, 5, 6b, 7, 8, 11, 12, 16d |
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2.03 | 2.02 |
Special Lines (includes Median) |
p.79 #12, 13c, 14 p.102 #4 p.110 #13b |
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3.01 |
Triangle Properties & Centres P3 P4 |
p.120 # 6, 8, 9, 10 + problem from class (see notes) |
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3.02 | Verify Properties of Triangles | ||||||
3.004 |
Applications of Triangle Centres |
p.120 # 6, 8, 9, 10 + problem from class (see notes) |
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3.97 |
Assignment: Due Wed, March 23 |
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3.98 | Review | ESPA # 2 - Coordinate Geometry - 10 versions |
p124 #1, 2, 3, 6, 7, 8, 9, 10, 11, 13, 15, 16, 18, 20a, 21, 22, 23 |
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3.99 |
Test: Analytic Geometry | |
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4.001 |
Unit 3: Parabolas & Factored Form |
All Lessons |
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4.002 |
VT: Graphing Using ToV, 1st Differences MPM1D: First Differences |
p.172 # 2, 3, 6, 8, 9 |
p.137 # 1, 2, 3, 4, 5ab, 6, 7 |
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4.003 | Handout # 1-6, 7ef, 9ab (from Nelson 10, p.146) |
p.145 # 1-6, 7ef, 9ab | |||||
4.004 | p.166 # 3-5 (odd letters), 8-10 (odd letters) |
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4.005 |
p.202 # 1, 3bd, 5bc, 6def, 7, 8, 9, 10 |
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4.031 |
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p. 256 # 1, 2, 4 ,5 ,8 |
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4.032 |
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p. 262 # 1 - 5 |
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4.033 | p.269 # 1 - 3 (basics) # 4ace, 5ace, 6, 7ace # 10, 11, 13, 14, 15 |
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4.05 | p.192 # (1-4)(ac), 5, 7, 8, 10, 13 | p.155 # 2, 3, 4ace, 5, 6ace, 7, 10 | |||||
5.00 |
Unit 4: Quadratics Part 2 |
ESPA - Quadratics Part 2 - Practice Quizzes x10 |
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5.04 |
(includes common factors) |
p.211 # 2, 4 # (6, 7, 8)(ace) |
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5.05 |
(includes common factors) |
p.223 # 3bc, 4bc, 5abc, 6, 7abc, 11, 15, 17 | |||||
5.06 |
WS: Special Pattern Trinomials (includes common factors) |
p.230 # 3bc, 5, 6, 7, 10, 11, 14 | |||||
5.90 | WS: Factoring All Types |
p.236 # 1, (6-8)ace, 9, 10, 12, 14ac, 17* |
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5.98 | Review: Quadratic Relations I | p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16 p.240 # 2, 6, 7, 9, 10, 13ace, 16ace, 17ace, 19ace |
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5.99 | Test: Quadratic Relations I | ||||||
6.00 |
p. 357 #2, 3, 5, 7, 9, 14 |
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6.00 |
Predicting Number of Solutions: |
p.350 # 2, 3, 4, 5, 7, 9, 10, 12 |
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6.00 |
Solving Equations: |
p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad, 10cd, 14, 19* |
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6.00 |
Standard Form to Vertex Form: |
Video Tutorial - Solving by Completing the Square | p.331 # 2, 3, 4, 5ace, 7bde, 9, 11, 16 | ||||
6.00 |
Video Tutorial - Solving Quadratic Equations | p.320 # 4ac, 6ace, 7ace, 11 |
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6.00 |
Word Problems in Standard, Factored, and Vertex Form |
p.294 # 11, 13, 16, 20* p.302 # 9, 12, 13, 16* |
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6.00 |
p.293 # 4c, 5ac, 6ac, 9ac, 10ac p.301 # 4, 5acef, 7ace |
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6.00 | p. 280 # 1, 2ace, 3ace, 4, 5ace, 6cd, 7, 8 (draw diagram), 10, 15 |
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6.98 |
(includes focused Q#) |
p.241 #19abe p.185 #1b, 3b, 5, 9, 11ad, 12, 16 p.304 #1a, 3, 5, 12, 15ac, p.361 #5, 7, 9, 11ae, 15, 17 |
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6.982 |
Review: |
Part 1: p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16 Part 2: p.241 #19abe p.185 #1b, 3b, 5, 9, 11ad, 12, 16 p.304 #1a, 3, 5, 12, 15ac, p.361 #5, 7, 9, 11ae, 15, 17 |
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6.99 |
Test: Quadratics Part 2 |
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6.992 | Retest: Quadratics 1 & 2 | (re)submit fully completed reviews for part 1 & 2 | |||||
7.00 |
Unit 5: Trigonometry | ESPA # 5 - Trigonometry - 10 versions |
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7.01 |
Read p.374 - 378 p.378 # 1, 2, 4ac, 5, 6, 7ab, 8cd, 13 |
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7.02 |
p.386 # 4, 6, 9, 12, 14* |
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7.03 7.04 |
p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13 |
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7.051 | p.403 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab |
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7.052 | p.412 # 2, 3, 7, 10, 11 | ||||||
8.01 |
p.427 # 2ac p.432 # 2, 3ace, 5ac, 6, 14, 15 |
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8.02 |
p.438 # 2, 3b p.443 # 2, 3, 4, 5ac |
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8.022 |
ESPA # 5 - Trigonometry - 10 versions | p.449 # 1, 2, 3 |
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8.04 |
p.450 # 4 (see Ex.2), 9 (see Ex.1) p.450 # 5, 8, 11, 13, 15 |
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8.90 |
Practice Test: Similar Triangles & Trigonometry |
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8.98 |
Review: Similar Triangles & Trigonometry | p.416 #2, 3, 5, 6, 9, 13, 14, 16 p.453 #2, 3, 7, 8, 11, 12 |
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8.99 |
Test: Similar Triangles & Trigonometry | ||||||
9.00 |
Summative Preparation 1 |
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9.01 |
Communication & Reflection |
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9.02 |
Problem Solving |
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9.03 | Summative Practice | ||||||
9.04 |
Summative Preparation: Scenarios |
p.189 # 1 - 15 (do full solutions, not just multiple choice) |
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9.05 |
Summative Preparation: Answer Questions using Algebra |
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9.06 |
Summative Task Day 1 (group work) |
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9.07 |
Summative Preparation: Discuss Day 1 |
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9.08 |
Summative Task Day 2 (individual evaluation) |
Formula Sheet |
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10.01 | Practice Exam # 1 |
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10.02 | Practice Exam # 2 | ||||||
10.03 | Practice Exam # 3 | ||||||
10.04 |
Final Exam: Review & Preparation |
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10.99 |
Final Exam Period 3: Wed, June 22 Period 4: Thurs, June 23 |
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A12 | p. 147 # 12, 13, 14 p. 157 # 13, 14, 15 |