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| Viewing Mathematics | |
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| Mathematics as Communication | |
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| Mathematics as Reasoning | |
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| Mathematics as Problem Solving | |
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| A Connected, Balanced View of Mathematics | |
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| Sets and Whole Number Operations and Properties | |
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| Sets and Whole Numbers | |
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| Addition and Subtraction of Whole Numbers | |
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| Multiplication and Division of Whole Numbers | |
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| Numeration | |
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| Estimation and Computation | |
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| Strategies and Procedures for Mental Computation | |
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| Strategies and Procedures for Estimation | |
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| Algorithms for Addition and Subtraction | |
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| Algorithms for Multiplication and Division | |
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| Number Theory | |
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| Factors and Divisibility | |
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| Prime and Composite Numbers | |
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| Understanding Integer Operations and Properties | |
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| Addition, Subtraction, and Order Properties of Integers | |
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| Integer Multiplication, Division, and Other Properties | |
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| Rational Number Operations and Properties | |
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| Rational Number Ideas and Symbols | |
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| Adding and Subtracting Rational Numbers | |
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| Multiplying Rational Numbers | |
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| Dividing, Comparing, and Ordering Rational Numbers | |
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| Proportional Reasoning | |
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| The Concept of Ratio | |
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| Proportional Variation and Solving Proportions | |
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| Solving Percent Problems | |
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| Analyzing Data | |
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| Types of Data Displays | |
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| Data Displays that Show Relationships | |
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| Describing the Average and Spread of Data | |
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| Decision Making with Data | |
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| Probability | |
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| Understanding Probability | |
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| Connecting Probability to Models and Counting | |
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| Simulations | |
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| Odds and Long-Term Behavior | |
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| Permutations and Combinations | |
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| Introducing Geometry | |
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| Basic Ideas of Geometry | |
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| Solving Problems in Geometry | |
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| More About Angles | |
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| More About Triangles | |
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| More About Quadrilaterals | |
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| Extending Geometry | |
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| Transformations | |
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| Geometric Patterns | |
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| Special Polygons | |
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| Three-Dimensional Figures | |
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| Measurement | |
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| The Concept of Measurement | |
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| Measuring the Perimeter and Area of Polygons | |
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| Measuring the Surface Area and Volume of Solids | |
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| Exploring Ideas of Algebra and Coordinate Geometry | |
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| Variables, Expressions, and Equations | |
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| Solving Equations | |
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| Exploring Graphs of Linear Equations | |
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| Connecting Algebra and Geometry | |
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| Appendices | |
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| Graphing Calculator | |
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| Geometry Exploration Software | |
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| Glossary of Geometric Terms | |
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| Constructions | |