MathWorks 10 Table of Contents - Comox Valley Schools of...22Puzzle It Out: Magic Proportions 1.2...

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FACULTY OF EDUCATION THE UNIVERSITY OF BRITISH COLUMBIA VANCOUVER BRITISH COLUMBIA V6T 1Z4 PHONE (604) 822-5385 FAX (604) 822-6603 Math Works 10 Table of Contents 1 2 3 Contents How to Use this Book 8 Unit Pricing and 10 Currency Exchange 1.1 Proportional Reasoning 12 Puzzle It Out: Magic Proportions 22 1.2 Unit Price 23 1.3 Setting a Price 28 1.4 On Sale! 34 The Roots of Math: Canadian Currency 40 1.5 Currency Exchange Rates 41 Earning an Income 52 2.1 Wages and Salaries 54 The Roots of Math: The Minimum 63 Wage in Canada 2.2 Alternative Ways to Earn Money 64 Puzzle It Out: A Weird Will 71 2.3 Additional Earnings 72 2.4 Deductions and Net Pay 79 Length, Area, and Volume 92 3.1 Systems of Measurement 94 The Roots of Math: The Origins of 104 Standard Measurement 3.2 Converting Measurements 106 3.3 Surface Area 115 3.4 Volume 124 Puzzle It Out: The Decanting Puzzle 131 Trigonometry of Right Triangles 270 7.1 The Pythagorean Theorem 272 7.2 The Sine Ratio 283 The Roots of Math: Trigonometry in History 292 7.3 The Cosine Ratio 293 7.4 The Tangent Ratio 301 7.5 Finding Angles and Solving Right Triangles 307 Puzzle it Out: 16 Squares 314 Glossary 320 Answer Key 324 Index 355 Credits 363 7 6 5 4 Mass, Temperature, 136 and Volume 4.1 Temperature Conversions 138 The Roots of Math: Measuring Temperature 145 4.2 Mass in the Imperial System 146 4.3 Mass in the Système International 154 Puzzle It Out: The Counterfeit Coin 160 4.4 Making Conversions 162 Angles and Parallel Lines 172 5.1 Measuring, Drawing, and Estimating Angles 174 5.2 Angle Bisectors and Perpendicular Lines 187 The Roots of Math: Geometric Perspective in Art 197 5.3 Non-Parallel Lines and Transversals 198 5.4 Parallel Lines and Transversals 209 Puzzle It Out: The Impossible Staircase 218 Similarity of Figures 224 6.1 Similar Polygons 226 6.2 Determining if Two Polygons are Similar 236 The Roots of Math: Euclidean Geometry 246 6.3 Drawing Similar Polygons 247 Puzzle It Out: Rationing Chocolate Bars 255 6.4 Similar Triangles 257

Transcript of MathWorks 10 Table of Contents - Comox Valley Schools of...22Puzzle It Out: Magic Proportions 1.2...

Page 1: MathWorks 10 Table of Contents - Comox Valley Schools of...22Puzzle It Out: Magic Proportions 1.2 Unit Price 23 1.3 Setting a Price 28 1.4 34On Sale! 40The Roots of Math: Canadian

FACULTY OF EDUCATION

THE UNIVERSITY OF

BRITISH COLUMBIA

VANCOUVER

BRITISH COLUMBIA

V6T 1Z4

PHONE (604) 822-5385

FAX (604) 822-6603

MathWorks 10 Table of Contents

1

2

3

Contents How to Use this Book 8

Unit Pricing and 10

Currency Exchange

1.1 Proportional Reasoning 12

Puzzle It Out: Magic Proportions 22

1.2 Unit Price 23

1.3 Setting a Price 28

1.4 On Sale! 34

The Roots of Math: Canadian Currency 40

1.5 Currency Exchange Rates 41

Earning an Income 52

2.1 Wages and Salaries 54

The Roots of Math: The Minimum 63

Wage in Canada

2.2 Alternative Ways to Earn Money 64

Puzzle It Out: A Weird Will 71

2.3 Additional Earnings 72

2.4 Deductions and Net Pay 79

Length, Area, and Volume 92

3.1 Systems of Measurement 94

The Roots of Math: The Origins of 104

Standard Measurement 3.2 Converting Measurements 106

3.3 Surface Area 115

3.4 Volume 124

Puzzle It Out: The Decanting Puzzle 131

Trigonometry of Right Triangles 270

7.1 The Pythagorean Theorem 272

7.2 The Sine Ratio 283

The Roots of Math: Trigonometry in History 292

7.3 The Cosine Ratio 293

7.4 The Tangent Ratio 301

7.5 Finding Angles and Solving Right Triangles 307

Puzzle it Out: 16 Squares 314

Glossary 320

Answer Key 324

Index 355

Credits 363

76

5

4 Mass, Temperature, 136

and Volume

4.1 Temperature Conversions 138

The Roots of Math: Measuring Temperature 145

4.2 Mass in the Imperial System 146

4.3 Mass in the Système International 154

Puzzle It Out: The Counterfeit Coin 160

4.4 Making Conversions 162

Angles and Parallel Lines 172

5.1 Measuring, Drawing, and Estimating Angles 174

5.2 Angle Bisectors and Perpendicular Lines 187

The Roots of Math: Geometric Perspective in Art 197

5.3 Non-Parallel Lines and Transversals 198

5.4 Parallel Lines and Transversals 209

Puzzle It Out: The Impossible Staircase 218

Similarity of Figures 224

6.1 Similar Polygons 226

6.2 Determining if Two Polygons are Similar 236

The Roots of Math: Euclidean Geometry 246

6.3 Drawing Similar Polygons 247

Puzzle It Out: Rationing Chocolate Bars 255

6.4 Similar Triangles 257

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Page 2: MathWorks 10 Table of Contents - Comox Valley Schools of...22Puzzle It Out: Magic Proportions 1.2 Unit Price 23 1.3 Setting a Price 28 1.4 34On Sale! 40The Roots of Math: Canadian