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# Principles of Mathematics 9

## byChris Dearling, Wayne Erdman, Fred Ferneyhough

### Hardcover | March 28, 2006

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### about

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

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:0070973199

ISBN - 13:9780070973190

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### Extra Content

Table of Contents

**Chapter 1 Mathematical Processes**

Get Ready

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**

Get Ready

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**

Get Ready

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**

Get Ready

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**

Get Ready

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**

Get Ready

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**

Get Ready

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

Get Ready

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**

Get Ready

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**