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Student Edition
Mathematics 9: Applying the Concepts

Chris Dearling, Burlington, Ontario
Wayne Erdman, Toronto District School Board
Brian McCudden, Toronto, Ontario
Rolly W. Meisel, Port Colborne, Ontario
Tess Miller, Durham District School Board
Jacob Speijer, District School Board of Niagara

ISBN: 007092242x
Copyright year: 2003

Table of Contents



CHAPTER 1 Applying Number Sense
Get Ready
1.1 Connecting Perimeter With Whole Numbers and Decimals
1.2 Estimation
1.3 Exponents and the Order of Operations
1.4 Working With Area and Other
Formulas
Review
Practice Test


CHAPTER 2 Perimeter and Area Relationships
Get Ready
2.1 The Pythagorean Theorem
2.2 Perimeter and Area of Right Triangles
2.3 Using The Geometer's Sketchpad® to Confirm the Pythagorean Theorem
2.4 Perimeter and Area of Composite Figures
2.5 Maximizing the Area of a Rectangle
Review
Practice Test


CHAPTER 3 Surface Area and Volume Relationships
Get Ready
3.1 Volume: Prisms and Cylinders
3.2 Volume: Cones and Spheres
3.3 Surface Area: Rectangular Prisms
3.4 Surface Area: Cylinders and Prisms
3.5 Minimizing Surface Area
Review
Practice Test
Cumulative Review
Tasks


CHAPTER 4 Analysing Relationships With Data
Get Ready
4.1 Formulating Hypotheses and Gathering Data
4.2 Surveys and Sampling Principles
4.3 Organizing Data Using the TI-83 Graphing Calculator
4.4 Measures of Central Tendency
4.5 Data Analysis: Trends and Relationships
4.6 Experiments
Review
Practice Test


CHAPTER 5 Exploring Integers and Rational Numbers
Get Ready
5.1 Adding and Subtracting Integers
5.2 Multiplying and Dividing Integers
5.3 Plotting Points on the Cartesian Plane
5.4 Exploring Rational Numbers
5.5 Operations With Rational Numbers
5.6 Ratio and Rate
Review
Practice Test
Cumulative Review
Tasks


CHAPTER 6 Linear and Non-Linear Relations
Get Ready
6.1 Direct Variation
6.2 Partial Variation
6.3 Graphing Linear Relations
6.4 Graphing Non-Linear Relations
6.5 First Differences
6.6 Characteristics of Linear and Non-Linear Relations
Review
Practice Test


CHAPTER 7 Analysing Linear Relations
Get Ready
7.1 Motion Sensors and Distance-Time Graphs
7.2 Slope
7.3 Applying the Slope Formula
7.4 Graphing Lines Using Intercepts
7.5 The Equation of a Line: y = mx + b
7.6 Constructing Linear Models: The Line of Best Fit
7.7 Investigating Parallel and Perpendicular Lines
Review
Practice Test
Cumulative Review
Tasks


CHAPTER 8 Applying Exponents
Get Ready
8.1 Powers with Rational Bases
8.2 Exponent Rules
8.3 Zero and Negative Exponents
8.4 Scientific Notation
Review
Practice Test


CHAPTER 9 Exploring Polynomials
Get Ready
9.1 Introducing Polynomials
9.2 Adding and Subtracting Polynomials
9.3 Multiplying a Monomial and a Polynomial
9.4 Expanding and Simplifying Polynomial Expressions
Review
Practice Test


CHAPTER 10 Modelling With Equations
Get Ready
10.1 Solving One- and Two-Step Equations
10.2 Solving Multi-Step Equations
10.3 Modelling With Formulas
10.4 Modelling With Algebra
10.5 Equation of a Line, Given the Slope and a Point
10.6 Equation of a Line, Given Two Points
Review
Practice Test
Cumulative Review


CHAPTER 11 Exploring Geometric Relationships
Get Ready
11.1 Investigating Angles of Triangles and Quadrilaterals
11.2 Investigating Angles and Parallel Lines
11.3 Investigating Angle Bisectors, Medians, and Altitudes of Triangles
11.4 Investigating Sides and Diagonals of Quadrilaterals
Review
Practice Test
Course Review
Tasks


Technology Appendix / Answers / Glossary/ Index


Math 9: Applying the Concepts

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