**A resource specifically** written for the Principles of Mathematics 9 (MPM1D) course.

**Chapter 1 Mathematical Processes**

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1.1 Focus on Problem Solving

1.2 Focus on Communicating

1.3 Focus on Connecting

1.4 Focus on Representing

1.5 Focus on Selecting Tools and Computational Strategies

1.6 Focus on Reasoning and Proving

1.7 Focus on Reflecting

Chapter 1 Review

**Chapter 2 Relations**

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2.1 Hypotheses and Sources of Data

2.2 Sampling Principles

2.3 Use Scatter Plots to Analyse Data

2.4 Trends, Interpolation, and Extrapolation

2.5 Linear and Non-Linear Relations

2.6 Distance-Time Graphs

Chapter 2 Review

Chapter 2 Practice Test

**Chapter 3 Polynomials**

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3.1 Build Algebraic Models Using Concrete Materials

3.2 Work With Exponents

3.3 Discover the Exponent Laws

3.4 Communicate With Algebra

Use Technology

Virtual Algebra Tiles With The Geometer’s Sketchpad®

3.5 Collect Like Terms

3.6 Add and Subtract Polynomials

3.7 The Distributive Property

Use Technology

Computer Algebra Systems

Chapter 3 Review

Chapter 3 Practice Test

Chapters 1 to 3 Review

Tasks** ****Chapter 4 Equations**

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4.1 Solve Simple Equations

4.2 Solve Multi-Step Equations

4.3 Solve Equations Involving Fractions

4.4 Modelling With Formulas

4.5 Modelling With Algebra

Chapter 4 Review

Chapter 4 Practice Test

**Chapter 5 Modelling With Graphs**

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5.1 Direct Variation

5.2 Partial Variation

5.3 Slope

5.4 Slope as a Rate of Change

5.5 First Differences

5.6 Connecting Variation, Slope, and First Differences

Chapter 5 Review

Chapter 5 Practice Test

**Chapter 6 Analyse Linear Relations**

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6.1 The Equation of a Line in Slope y-Intercept Form: y _ mx _ b

6.2 The Equation of a Line in Standard Form: Ax _ By _ C _ 0

6.3 Graph a Line Using Intercepts

Use Technology

Use The Geometer’s Sketchpad® to Explore Parallel and Perpendicular Lines

6.4 Parallel and Perpendicular Lines

6.5 Find an Equation for a Line Given the Slope and a Point

6.6 Find an Equation for a Line Given Two Points

6.7 Linear Systems

Chapter 6 Review

Chapter 6 Practice Test

Chapters 4 to 6 Review

Tasks

**Chapter 7 Geometric Relationships**

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7.1 Angle Relationships in Triangles

7.2 Angle Relationships in Quadrilaterals

7.3 Angle Relationships in Polygons

7.4 Midpoints and Medians in Triangles

7.5 Midpoints and Diagonals in Quadrilaterals

Chapter 7 Review

Chapter 7 Practice Test

Chapter 8 Measurement Relationships

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8.1 Apply the Pythagorean Theorem

8.2 Perimeter and Area of Composite Figures

8.3 Surface Area and Volume of Prisms and Pyramids

8.4 Surface Area of a Cone

8.5 Volume of a Cone

8.6 Surface Area of a Sphere

8.7 Volume of a Sphere

Chapter 8 Review

Chapter 8 Practice Test

**Chapter 9 Optimizing Measurements**

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9.1 Investigate Measurement Concepts

9.2 Perimeter and Area Relationships of a Rectangle

9.3 Minimize the Surface Area of a Square-Based Prism

9.4 Maximize the Volume of a Square-Based Prism 498

9.5 Maximize the Volume of a Cylinder

9.6 Minimize the Surface Area of a Cylinder

Chapter 9 Review

Chapter 9 Practice Test

Chapters 7 to 9 Review

Tasks

**Technology Appendix****Answers****Glossary****Index**

**New to this Edition**

- Instructional design based on the problem-solving model
- Lessons structured to allow for different teaching methods
- Extended practice and exercises, supported with additional on-line practice
- Fully integrated technology
- Comprehensive assessment support in Student Text include: 3-part exercise per lesson, Achievement Check Questions, End-of-Chapter Review, Rich Assessment Tasks, Chapter Test, and Cumulative Reviews
- Includes access to the Online Student eBOOK (PDFs) with purchase of each Student Text.

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