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**A resource written** specifically for the Principles of Mathematics 10 (MPM2D) course. Principles of Mathematics 10 will help students learn the mathematics skills and concepts they need to succeed in school and beyond.

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The following ISBNs are associated with this title:

ISBN - 10:0070973326

ISBN - 13:9780070973329

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Table of Contents

**A Tour of Your Textbook**

**Chapter 1 Linear Systems**

Get Ready

1.1 Connect English with Mathematics and Graphing Lines

1.2 The Method of Substitution

1.3 Investigate Equivalent Linear Relations and Equivalent Linear Systems

1.4 The Method of Elimination

1.5 Solve Problems Using Linear Systems

Chapter 1 Review

Chapter 1 Practice Test

**Chapter 2 Analytic Geometry**

Get Ready

2.1 Midpoint of a Line Segment

2.2 Length of a Line Segment

2.3 Apply Slope, Midpoint, and Length Formulas

2.4 Equation for a Circle

Chapter 2 Review

Chapter 2 Practice Test

**Chapter 3 Geometric Properties**

Get Ready

3.1 Investigate Properties of Triangles

3.2 Verify Properties of Triangles

3.3 Investigate Properties of Quadrilaterals

3.4 Verify Properties of Quadrilaterals

3.5 Properties of Circles

Chapter 3 Review

Chapter 3 Practice Test

Chapters 1 to 3 Review

Tasks

**Chapter 4 Quadratic Relations**

Get Ready

4.1 Investigate Non-Linear Relations

4.2 Quadratic Relations

4.3 Investigate Transformations of Quadratics

4.4 Graph y = a(x – h)2 + k

4.5 Quadratic Relations of the Form y = a(x – r)(x – s)

4.6 Negative and Zero Exponents

Chapter 4 Review

Chapter 4 Practice Test

**Chapter 5 Quadratic Expressions**

Get Ready

5.1 Multiply Polynomials

5.2 Special Products

5.3 Common Factors

5.4 Factor Quadratic Expressions of the Form x2 + bx + c

5.5 Factor Quadratic Expressions of the Form ax2 + bx + c

5.6 Factor a Perfect Square Trinomial and a Difference of Squares

Chapter 5 Review

Chapter 5 Practice Test

**Chapter 6 Quadratic Equations**

Get Ready

6.1 Maxima and Minima

6.2 Solve Quadratic Equations

6.3 Graph Quadratics Using the x-Intercepts

6.4 The Quadratic Formula

6.5 Solve Problems Using Quadratic Equations

Chapter 6 Review

Chapter 6 Practice Test

Chapters 4 to 6 Review

Tasks

**Chapter 7 Trigonometry of Right Triangles**

Get Ready

7.1 Investigate Properties of Similar Triangles

Use Technology

Create Designs With Similar and Congruent Figures Using Dynamic Geometry Software

7.2 Use Similar Triangles to Solve Problems

7.3 The Tangent Ratio

7.4 The Sine and Cosine Ratios

7.5 Solve Problems Involving Right Triangles

Chapter 7 Review

Chapter 7 Practice Test

**Chapter 8 Trigonometry of Acute Triangles**

Get Ready

8.1 The Sine Law

8.2 The Cosine Law

8.3 Find Angles Using the Cosine Law

Use Technology

Program a Graphing Calculator

Use Technology

Program a TI-89 Calculator

8.4 Solve Problems Using Trigonometry

Chapter 8 Review

Chapter 8 Practice Test

Chapters 7 and 8 Review

Tasks

Course Review

**Challenge Problems Appendix****Prerequisite Skills Appendix****Technology Appendix****Answers****Glossary****Index**