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MPM2D

 

 

Exam Review

 

Unit 2 - Quadratics

Review Questions: TB p320-321 (handed out in class)

 

Unit 3 - Trigonometry

Review Questions: TB p434-435 (handed out in class)

 

Unit 1 - Linear Systems & Analytic Geometry

Review Questions: TB p156-157 (handed out in class)

 

 

Chapter 8 - Trigonometry of Acute Triangles

 

8.1 - The Sine Law

Use Excel to investigate acute triangles: Worksheet

Method 1: Construction Paper

Method 2: GeoGebra

Homework: p87 #1ab, 2ab, 5, 6, 9

 

8.2 - The Cosine Law

Homework: p89 #1cd, 2cd, 3cd, 9, 10

 

8.3 - Applying the Cosine Law

Homework: p91 #1d, 2d, 3d, 4d, 8, challenge: #11a

 

8.4 - Solve Problems Using Trigonometry

Lesson Presentation

Homework (part 1): WB p93 #1, 2a, 4

Homework (part 2): WB p93 #3b, 5, 8, 9

 

Chapter 7 & 8 Review

 

Chapter 7 & 8 Assignment

 

 

 

Chapter 7 - Trigonometry of Right Triangles

 

7.1-7.2 - Similar Triangles

Lesson 1 (Mr. Li)

Homework: WB p75 #3-5

 

Lesson 2 (Mr. Li)

 

Lesson 3 (Mr. Li)

Homework: WB p78 #5-7, 13

 

7.3 - The Tangent Ratio

Lesson 3 (cont'd) (Mr. Li)

Homework (part 1): WB p79 #1, 3-5

 

Lesson 4 (Mr. Li)

Homework (part 2): WB p80 #9-12

 

7.4 - The Sine and Cosine Ratios

Lesson 5 (Mr. Li)

Homework: WB p81 #2, 9-11

 

7.5 - Solve Problems Involving Right Triangles

Lesson 6 (Mr. Li)

Homework (part 1): WB p83 #2-4, 8, 11

 

Lesson 7 (Mr. Li)

Homework (part 2): WB p83 #6, 7, 9, 10

 

Chapter 7 Review

Presentation

Homework: WB p85

7.1 & 7.2 - #1c, 2-4, 6, 7

7.3 - #9, 10bd, 11, 12

7.4 & 7.5 - #14, 16, 18, 19

 

Jeopardy Review Game

 

 

 

Chapter 6 - Quadratic Equations

 

6.0 - Get Ready

Chapter 6 Prep Worksheet

Jeopardy Game

Homework: pt 1 - Complete page 1 of worksheet

Homework: pt 2 - Complete back of worksheet

 

Key Vocabulary Sheet - Chapter 6

 

6.1 - Maxima & Minima

Key Vocabulary:

Maxima (maximum point)

Minima (minimum point)

Completing the Square

Homework: pt 1 - WB p63 #1, 2, 6

Homework: pt 2 - WB p63 #3ace, 4ac, 5ac, 12, 13

 

6.2 - Solve Quadratic Equations

Key Vocabulary:

Quadratic Equation

Root of an equation

Homework: pt 1 - WB #1bfg, 2afg

Homework: pt 2 - WB #3ac, 5ab, 8ac, 9, 10

 

6.3 - Graph Quadratics using the x-intercepts

Homework: WB #3, 6-9

 

6.1-6.3 Key Concepts Summary

 

6.1-6.3 Optional Review Questions:

Workbook

6.1 #8, 9

6.2 #4, 6

6.3 #5

 

6.4 - The Quadratic Formula

Quadratic Formula Presentation

Homework: pt 1 - WB p69 #1, 2 (no technological verification req'd)

Homework: pt 2 - WB p69 #3bdf, 4bdf, 5, 7, 10 (no technological verification req'd)

 

6.5 - Solve Problems Using Quadratic Equations

Lesson Examples

Homework: WB p71 #1-3, 5, 6, 11

 

Chapter 6 Problem

 

Chapter 6 Math Journal

 

 

 

 

Chapter 5 - Quadratic Expressions

Review Chapter 4

Homework: Jersey Parabola

 

5.0 - Get Ready

Chapter 5 Prep Worksheet

Homework: pt 1 - Complete page 1 of worksheet

Homework: pt 2 - Complete page 2 of worksheet

"Different" Questions Presentation

Homework: How long was the ball in the air?

(see question 10 from "Different" Questions Presentation)

 

5.1 - Multiplying Polynomials

Homework: WB #1, 2ac, 4ab, 5abc, 6ac, 7cd, 8, 10, 14a

 

5.2 - Special Products

Homework: WB p51  #3a-d, 5a-d, 7

 

5.3 - Common Factors

Homework: WB #4abh, 5def, 6a-d, 7

 

5.1-5.3 Key Concepts Review Sheet

 

5.4 - Factor Quadratic Expressions of the Form x^2 + bx + c

Homework: WB p55 #3abd, 4a-e, 5a-d, 7a-c, 8-10

 

5.5 - Factor Quadratic Expressions of the Form ax^2 + bx + c

Part 1 - Lesson Presentation

Homework: WB p57 #2ace, 3ace, 4ace

Part 2 - Lesson Presentation

Homework: WB p57 #5ace, 6ace, 7a, 8ac, 9bd, 10

 

5.6 - Factor a Perfect Square Trinomials and a Difference of Squares

Lesson Presentation

Homework: WB p59 #1bdg, 2adh, 3ace, 4bde, 5ad

 

Chapter 5 Assignment (Chapter Problem & Math Journal combined)

 

Chapter 5 Review

Optional Review Questions:

WB p61 # 1-3, 5-7, 9-12, 14-20

 

 

Chapter 4 - Quadratic Relations

4.1 - Investigate Non-Linear Relations

Time vs Distance "lab"

Homework: WB p35 #1, 3-6, 7bd

 

4.2 - Quadratic Relations

Lesson Presentation

Key Terminology Worksheet

Homework: WB p37 #1, 3, 4, 7

 

4.3 - Investigate Transformations of Quadratics

Key terminology Worksheet

Homework: WB p39 #5-8, 10

 

4.4 - Graphing y=a(x - h)^2 + k

Key Concepts Breakdown

Lesson Presentation - Part 1

Homework - Part 1: WB p41 #1a, c, e, g, i

 

Lesson Presentation - Part 2

Homework - Part 2: WB p41 #1b, d, f, h, j,  #2f, h, j (by hand)

 

Lesson Presentation - Part 3

Homework - Part 3: WB p41  #3, 5-9, 11

 

4.5 - Quadratic Relations in Factored Form: y=a(x - s)(x - r)

Lesson Presentation - Part 1

Homework - Part 1: WB p43 #1-5

 

Lesson Presentation - Part 2

Homework - Part 2: WB p43 #6-8, 10

 

4.6 Negative and Zero Exponents

Homework: WB p45 #1-4, 8

 

Chapter 4 Math Journal

Chapter 4 Problem

 

Optional Review: WB p47 #1-11

 

 

Chapter 3 - Geometric Properties

3.1 - Investigate Properties of Triangles

Day 1: In-class worksheet (pen & paper vs GeoGebra)

Homework: Complete the in-class worksheet

Day 2: Finish presentation

Homework: WB p23 #1-3, 5, 14-17

 

3.2 - Verify Properties of Triangles

Lesson follows textbook investigations (p117+)

Homework: WB p25 #1ad, 2, 3, 5, 10, 12

 

3.3 - Investigate Properties of Quadrilaterals

Lesson follows textbook investigations (p128)

Homework: WB p27 #4

Homework: WB p27 #1, 2, 5, 10, 12

 

3.4 - Verify Properties of Quadrilaterals

Lesson follows textbook investigations (p141)

Homework: WB p29 #2-6, 11

 

3.5 - Properties of Circles

Lesson follows textbook investigations (p146)

Homework: WB p31 #1, 2, 4, 6-9

 

Math Journal & Chapter Problem

 

Optional Review Questions: WB p33: #4-8, 10, 13, 15

 

 

Chapter 2 - Analytic Geometry

2.1 - Midpoint of a Line Segment

Midpoint Lesson

Homework: Workbook (WB) p13 #1d, 2, 7, 9, 10a, 11, 12, 16

 

2.2 - Length of a Line Segment

Length Lesson

Homework: WB p15 #2, 3, 6, 8a, 15

 

2.3 - Apply Slope, Midpoint, and Length Formulas

2.3 Lesson

Homework: WB p17 #1-6, 9, 15

 

2.4 - Equation of  Circle

Equation of Circle Lesson

GeoGebra Investigation Worksheet

Homework: Complete GeoGebra Worksheet

Homework: WB p19 #1bc, 2, 3ab, 4, 6, 7, 10, 12

 

Review

Homework: WB p21 #1-12

 

Chapter Problem & Math Journal

 

 

Chapter 1 -Linear Systems

 

Chapter 1 Problem

 

Chapter 1 Journal

 

Resources

 

Ministry of Ontario Math Curriculum (grades 9-10)

 

Textbook:

McGraw Hill Ryerson Principals of Mathematics  10

 

GeoGebra Software:

Download for Mac or Windows

 

Graphing Quadratic Relations: 
Boundless.com

Mathway.com

 

Khan Academy: video tutorials

Learning with
Mrs. Aly
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