# MPM2D using Nelson 10

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 0.002 0.00 1 Welcome to MPM2D 0.01 0.01 1 Review - Integers & Rational Numbers P3 P4 Video Lesson - Fractions MPM1D: Integers & Order of Operations MPM1D: Fractions Video Tutorial - Order of Operations Khan Academy - Order of Operations Basics Advanced From Handout: A-1: p.461 # 1, 3, 4, 5A-2: p.462 # 1, 2A-3: p.463 # 1 - 5 Worksheet (to be handed in) Extra: A-1: p.461 # 1, 3, 4, 5A-2: p.462 # 1, 2A-3: p.463 # 1 - 5 0.02 0.02 2 Review - Simplifying & Solving P3 P4 Video Lesson - Simplifying & Solving MPM1D: Solving Multi-Step Equations From Handout: A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bcA-9: p.472 # 1def, 3 Worksheet (to be handed in) Extra: A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bcA-9: p.472 # 1def, 3 0.03 0.03 3 Review - Linear Relations P3 P4 Video Lesson - Graphing Linear Relations MPM1D: Graphing Lines Using Intercepts From Handout: A-6: p.468 # 1bd, 2abc, 3abcd, 4A-7: p.470 # 1abc, 2ab, 3d, 4bc, 5bc p.6 # 10 p.12 # 1, 4 A-6: p.468 # 1bd, 2abc, 3abcd, 4A-7: p.470 # 1abc, 2ab, 3d, 4bc, 5bc p.6 # 10 p.12 # 1, 4 0.04 0.04 4 Review - Slope & Equation of a Line P3 P4 Video Lesson MPM1D: Parallel and Perpendicular Lines MPM1D: Equations from Two Points worksheet 1.00 1.00 5 Unit 1 - Linear Systems 1.012 1.01 5 done Solving Graphically & Verify Solutions Video: Solving Linear Systems Graphically Video: Verifying Solutions read p.9 (translating words into algebra) p.17 # 1-3, 8-10ac, 11, 12 p.26 # 2, 3ab, 5abf, 10, 18* 1.03 1.03 7 change Quiz - Graph Substitution Verify Distinct & Coincident Lines P3 P4 Video: Distinct & Coincident Lines Handout: Types of Linear Systems p.32 # 4 - 6, 8, 9 p. 59 # 1, 2a, 3abcfh, 4, 6* 1.013 1.01 5 Verifying Solutions P3 P4 Video: Verifying Solutions p.26 # 1ab, Verify 2, 3ab, 5abf 1.02 1.02 6 done Solving by Substitution P3 P4 Video: Solving by Substitution p.26 # 1bd, 4, 5, 7, 8, 12-14, 16, 21* p.39-40 # 3, 4bf, 5be, 9bcef 1.041 1.04 8 done Solving by Elimination P3 P4 Video: Solving by Elimination p.40 # (1-7)(ad), 10, 12c, 13, 14a, 17, (20-22)* p.54 # 1, 4, 6odd, 11odd, 20* 1.042 1.05 9 Review: Graph, Sub, Eliminate Quiz - Solve, Verify complete previous homework extra: additional problems extra: challenge problems 1.011 1.06 10 Modelling with Linear Equations P3 P4 Video: Model Linear Equations (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, 13p.39 #10, 11, 14, 15p.55 # 8, 9 1.051 1.07 11 Distance-Speed-Time P3 P4 Word Problems Video: Distance-Speed-Time Problems p.46 # 7, 8, 17*, 18* p.27 # 8    p.55 # 13    p.64 # 7 1.052 1.08 12 Mixture-Percent Word Problems P3 P4 Video: Mixture-Percentage Problems p.46 # 9, 10, 13, 19*, 20* p. 27 # 7   p. 39 # 11   p. 55 # 10, 12 1.053 1.09 13 Geometry-Money Word Problems P3 P4 Video: Geometry-Money Problems p.46 # 3, 4, 11, 12, 15, 16 p. 40 #17     p. 55 #9plus: Erik has \$4.80 in nickels and quarters.  If he has 6 more nickels than quarters, how many of each does he have? 1.98 1.10 14 Review - Linear Systems p. 62 #5a, 6, 7bc, 9, 12acd, 13, 14, 16, 17, 18 handout with word problems (and answers) 1.99 1.11 15 Test: Linear Systems 2.00 2.00 Unit 2: Analytic Geometry All Lessons 3.00 3.00 Unit 3: Geometric Properties 2.01 2.01 Midpoint of a Line Segment Midpoint of a Line Segment p.78 #  2ac, 3b, 4e, 5, 6, 8, 9, 11 2.02 2.03 Length of a Line Segment P3 P4 Video Lesson p.86 # 1ac, 4cd, 6, 7(draw), 12ab 2.04 2.04 Circle in Standard Position P3 P4 Video Lesson p.91 # 1, 2, 3a, 4, 5, 6, 8, 11, 14 3.001 Classifying Geometric Shapes P3 P4 Video Lesson Handout: Geometry Diagrams Worksheet: Slope & Distance p.101 # 2, 5, 6b, 7, 8, 11, 12, 16d 2.03 2.02 Special Lines in Triangles P3 P4 Video Lesson Special Lines (includes Median) Handout: Step by Step Instructions ESPA#2: Analytic Geometry p.79 #12, 13c, 14 p.102 #4 p.110 #13b 3.01 Triangle Properties & Centres P3 P4 p.120 # 6, 8, 9, 10 + problem from class (see notes) 3.02 Verify Properties of Triangles 3.004 Applications of Triangle Centres p.120 # 6, 8, 9, 10 + problem from class (see notes) 3.97 Assignment: Due Wed, March 23 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 3.99 Test: Analytic Geometry 4.001 Unit 3: Parabolas & Factored Form All Lessons 4.002 Graphing & First/Second Differences P3 P4 Video Lesson 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 4.003 Key Properties of Parabolas P3 P4 Video Lesson Handout: Key Properties Handout # 1-6, 7ef, 9ab(from Nelson 10, p.146) p.145 # 1­-6, 7ef, 9ab 4.004 Expanding & Simplifying P3 P4 Video using Algebra Tiles Video without Algebra Tiles WS: Expand & Simplify ESPA # 3 - Quadratics 1 - Factored Form - 10 versions p.166 # 3-5 (odd letters), 8-10 (odd letters) 4.005 Common Factors P3 P4 Video Lesson WS: Common Factors WS: Factor by Grouping p.202 # 1, 3bd, 5bc, 6def, 7, 8, 9, 10 4.031 Stretch & Reflect Quadratics & Parabolas P3 P4 video lesson p. 256 # 1, 2, 4 ,5 ,8 4.032 Translate Quadratics & Parabolas P3 P4 video lesson p. 262 # 1 - 5 4.033 Vertex Form & Graphing Transformations P3 P4 video lesson p.269 # 1 - 3 (basics)# 4ace, 5ace, 6, 7ace# 10, 11, 13, 14, 15 4.05 Factored Form P3 P4 Video Lesson 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 5.04 Factoring Simple Trinomials P3 P4 video lesson WS: Simple Trinomials (includes common factors) p.211 # 2, 4 # (6, 7, 8)(ace)# 9ace (look for common factors first)# 12ace, 13ac 5.05 Factoring Complex Trinomials P3 P4 video lesson WS: Complex Trinomials (includes common factors) p.223 # 3bc, 4bc, 5abc, 6, 7abc, 11, 15, 17 5.06 Factoring Special Patterns P3 P4 video lesson WS: Special Pattern Trinomials (includes common factors) p.230 # 3bc, 5, 6, 7, 10, 11, 14 5.90 Factoring Strategies P3 P4 video lesson WS: Factoring All Types p.236 # 1, (6-8)ace, 9, 10, 12, 14ac, 17* 5.98 Review: Quadratic Relations I p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16p.240 # 2, 6, 7, 9, 10, 13ace, 16ace, 17ace, 19ace 5.99 Test: Quadratic Relations I 6.00 More Word Problems P3 P4 video lesson p. 357 #2, 3, 5, 7, 9, 14 6.00 Predicting Number of Solutions: Vertex Form & Discriminant P3 P4 video lesson p.350 # 2, 3, 4, 5, 7, 9, 10, 12 6.00 Solving Equations: Vertex Form & Quadratic Formula P3 P4 video lesson p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad,10cd, 14, 19* 6.00 Standard Form to Vertex Form: Completing the Square P3 P4 video lesson Video Tutorial - Solving by Completing the Square p.331 # 2, 3, 4, 5ace, 7bde, 9, 11, 16 6.00 Solving Quadratic Equations P3 P4 video lesson Video Tutorial - Solving Quadratic Equations p.320 # 4ac, 6ace, 7ace, 11 6.00 Word Problems in Standard, Factored, and Vertex Form (work period) P3 P4 p.294 # 11, 13, 16, 20*p.302 # 9, 12, 13, 16* 6.00 Relating Three Forms of Quadratic Equations P3 P4 video lesson p.293 # 4c, 5ac, 6ac, 9ac, 10acp.301 # 4, 5acef, 7ace 6.00 Modelling Using Quadratic Equations P3 P4 video lesson p. 280 # 1, 2ace, 3ace, 4, 5ace, 6cd,7, 8 (draw diagram), 10, 15 6.98 Review (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 6.982 Review: Quadratics Part 1 & 2 Part 1: p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16p.240 # 2, 6, 7, 9, 10, 13ace, 16ace, 17ace, 19ace 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 6.99 Test: Quadratics Part 2 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 7.01 Congruent & Similar Triangles P3 P4 video lesson Video Tutorial - Similar Triangles Part 1 Video Tutorial - Similar Triangles Part 2 Read p.374 - 378p.378 # 1, 2, 4ac, 5, 6, 7ab, 8cd, 13 7.02 Applications of Similar Triangles P3 P4 video lesson p.386 # 4, 6, 9, 12, 14* 7.03 7.04 Trigonometric Ratios in Right Triangles P3 P4 video lesson Video Tutorial - Basic Trigonometry Part 1 Worksheet - Label Sides & Select Ratio & Solve p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13 7.051 Solving Right Triangles P3 P4 video lesson p.403 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab 7.052 Right Triangle Word Problems P3 P4 video lesson p.412 # 2, 3, 7, 10, 11 8.01 The Sine Law P3 P4 video lesson p.427 # 2acp.432 # 2, 3ace, 5ac, 6, 14, 15 8.02 The Cosine Law P3 P4 video lesson p.438 # 2, 3bp.443 # 2, 3, 4, 5ac 8.022 Choosing Sine vs Cosine Law P3 P4 ESPA # 5 - Trigonometry - 10 versions p.449 # 1, 2, 3 8.04 Applications of Trigonometry P3 P4 video lesson p.450 # 4 (see Ex.2), 9 (see Ex.1)p.450 # 5, 8, 11, 13, 15 8.90 Practice Test: Similar Triangles & Trigonometry WS: Right Angle Trigonometry WS: Sine & Cosine Law 8.98 Review: Similar Triangles & Trigonometry p.416 #2, 3, 5, 6, 9, 13, 14, 16p.453 #2, 3, 7, 8, 11, 12 8.99 Test: Similar Triangles & Trigonometry 9.00 Summative Preparation 1 9.01 Communication & Reflection (on provided sample) P3 P4 9.02 Problem Solving (quadratics) P3 P4 9.03 Summative Practice 9.04 Summative Preparation: Scenarios p.189 # 1 - 15 (do full solutions, not just multiple choice) 9.05 Summative Preparation: Answer Questions using Algebra 9.06 Summative Task Day 1 (group work) 9.07 Summative Preparation: Discuss Day 1 9.08 Summative Task Day 2 (individual evaluation) Formula Sheet 10.01 Practice Exam # 1 Practice #1: Exam B June 2013 10.02 Practice Exam # 2 Practice #2: Exam B June 2012 10.03 Practice Exam # 3 Exam A 2012 10.04 Final Exam: Review & Preparation Formula Sheet Vocabulary Sheet 10.99 Final Exam Period 3: Wed, June 22 Period 4: Thurs, June 23 Formula Sheet Vocabulary Sheet A12 Applications of Factored Form P3 P4 video lesson p. 147 # 12, 13, 14p. 157 # 13, 14, 15

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p. 26 # 1ab, 2, 3ab, 5abf, 10, 18*