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| An Introduction to Problem Solving | |
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| Mathematics and Problem Solving | |
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| Explorations with Patterns | |
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| Reasoning and Logic: An Introduction | |
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| Numeration Systems and Sets | |
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| Numeration Systems | |
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| Describing Sets | |
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| Other Set Operations and Their Properties | |
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| Whole Numbers and Their Operations | |
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| Addition and Subtraction of Whole Numbers | |
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| Algorithms for Whole-Number Addition and Subtraction | |
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| Multiplication and Division of Whole Numbers | |
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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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| Number Theory | |
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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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| Online Module: Clock & Modular Arithmetic | |
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| Integers | |
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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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| Rational Numbers and Proportional Reasoning | |
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| the Set of Rational Numbers | |
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| Addition, Subtraction, and Estimation with Rational Numbers | |
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| Multiplication and Division of Rational Numbers | |
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| Ratios, Proportions, and Proportional Reasoning | |
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| Decimals: Rational Numbers and Percent | |
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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 and Interest | |
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| Real Numbers and Algebraic Thinking | |
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| Real Numbers | |
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| Variables | |
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| Equations | |
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| Functions | |
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| Equations in a Cartesian Coordinate System | |
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| Online Module: Using Real Numbers in Equations | |
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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, Conditional Probability, and Expected Value | |
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| Using Permutations and Combinations in Probability | |
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| Data Analysis/Statistics: An Introduction | |
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| Designing Experiments/Collecting Data | |
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| Displaying Data: Part I | |
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| Displaying Data: Part II | |
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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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| Linear Measure | |
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| Curves, Polygons, and Symmetry | |
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| More About Angles | |
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| Online Module: Networks | |
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| Congruence and Similarity with Constructions | |
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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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| Online Module: Trigonometry Ratios via Similarity | |
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| Congruence and Similarity with Transformations | |
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| Translations and Rotations | |
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| Reflections and Glide Reflections | |
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| Dilations | |
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| Tessellations of the Plane | |
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| Area, Pythagorean Theorem, and Volume | |
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| Areas of Polygons and Circles | |
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| the Pythagorean Theorem, Distance Formula, and Equation of a Circle | |
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| Geometry in Three Dimensions | |
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| Surface Areas | |
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| Volume, Mass, and Temperature | |
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| Online Appendices | |
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| Spreadsheets | |
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| Graphing calculators | |
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| Geometer's Sketchpad | |
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| GeoGebra | |