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| An Introduction to Problem Solving | |
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| Explorations with Patterns | |
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| Mathematics and Problem Solving | |
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| Algebraic Thinking | |
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| Logic: An Introduction | |
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| Sets, Whole Numbers and Functions | |
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| Describing Sets | |
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| Other Set Operations and Their Properties | |
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| Addition and Subtraction of Whole-Numbers | |
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| Multiplication and Division of Whole-Numbers | |
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| Functions | |
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| Whole Number Computation | |
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| Numeration Systems | |
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| Algorithms for Whole-Number Addition and Subtraction | |
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| Algorithms for Whole-Number Multiplication and Division | |
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| Mental Mathematics and Estimation for Whole-Number Operations | |
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| Integers and Number Theory | |
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| Integers and the Operations of Addition and Subtraction | |
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| Multiplication and Division of Integers | |
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| Divisibility | |
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| Prime and Composite Numbers | |
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| Greatest Common Divisor and Least Common Multiple | |
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| Clock and Modular Arithmetic | |
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| Rational Numbers as Fractions | |
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| The Set of Rational Numbers | |
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| Addition and Subtraction of Rational Numbers | |
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| Multiplication and Division of Rational Numbers | |
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| Proportional Reasoning | |
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| Decimals, Percents, and Real Numbers | |
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| Introduction to Decimals | |
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| Operations on Decimals | |
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| Nonterminating Decimals | |
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| Percents | |
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| Computing Interest | |
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| Real Numbers | |
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| Probability | |
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| How Probabilities Are Determined | |
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| Multistage Experiments with Tree Diagrams and Geometric Probabilities | |
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| Using Simulations in Probability | |
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| Odds and Expected Value | |
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| Methods of Counting | |
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| Statistics: An Introduction | |
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| Statistical Graphs | |
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| Measures of Central Tendency and Variation | |
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| Abuses of Statistics | |
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| Introductory Geometry | |
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| Basic Notions | |
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| Polygons | |
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| More About Angles | |
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| Geometry in Three Dimensions | |
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| Networks | |
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| Constructions, Congruence and Similarity | |
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| Congruence Through Constructions | |
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| Other Congruence Properties | |
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| Other Constructions | |
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| Similar Triangles and Similar Figures | |
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| Lines in a Cartesian Coordinate System | |
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| Concepts of Measurement | |
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| Linear Measure | |
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| Areas of Polygons and Circles | |
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| The Pythagorean Theorem | |
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| Surface Areas | |
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| Volume, Mass, and Temperature | |
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| Motion Geometry and Tessellations | |
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| Translations and Rotations | |
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| Reflections and Glide Reflections | |
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| Size Transformations | |
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| Symmetries | |
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| Tessellations of the Plane | |
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| Logo Turtle Graphics | |
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| Graphing Calculators | |
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| Using a Geometry Drawing Utility | |
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| Using a Spreadsheet | |
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| Answers to Selected Problems | |
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| Index | |