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Introduction | |
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Mathematical Reasoning | |
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Inductive Reasoning | |
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Deductive Reasoning | |
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Inductive and Deductive Reasoning | |
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Patterns | |
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Problem Solving | |
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Problem Solving Strategies and Skills | |
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Sets and Functions | |
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Sets | |
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Operations on Two Sets | |
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Functions and Relations | |
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Whole Numbers | |
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Numeration Systems | |
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Addition and Subtraction of Whole Numbers | |
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Multiplication and Division of Whole Numbers | |
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Properties of Whole-Number Operations | |
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Algorithms for Whole-Number Addition and Subtraction | |
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Algorithms for Whole-Number Multiplication and Divisions | |
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Whole Numbers: Mental Computation and Estimation | |
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Place Value and Algorithms in Other Bases | |
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Number Theory | |
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Factors | |
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Divisibility | |
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Prime and Composite Numbers | |
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Common Factors and Multiples | |
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Integers | |
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Addition and Subtraction of Integers | |
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Multiplication and Division of Integers | |
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Properties of Integer Operations | |
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Rational Numbers as Fractions | |
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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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Rational Numbers: Properties, Estimation, and Error Patterns | |
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Decimals, Percents and Real Numbers | |
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Decimals: Place Value, Estimation and Mental Computation | |
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Decimal Arithmetic and Error Patterns | |
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Ratio and Proportion | |
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Percents | |
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Percents: Mental Computation, Estimation and Change | |
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Rational, Irrational, and Real Numbers | |
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Introductory Geometry | |
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Beginning Geometry | |
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Polygons | |
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Triangles, Quadrilaterals and Circles | |
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Angle Measures of Polygons | |
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Three-Dimensional Geometry | |
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Viewing and Drawing Solid Figures | |
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Congruence, Symetry and Similarity | |
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Transformations and Congruence | |
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Applications of Transformations | |
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Constructions and Congruence | |
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Symmetry | |
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Similarity and Dilations | |
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Measurement | |
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Systems of Measurement | |
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Perimeter and Area | |
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Area of Quadrilaterals, Triangles, and Circles | |
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The Pythagorean Theorem | |
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Surface Area | |
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Volume | |
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Lengths, Areas, and Volumes of Similar Figures | |
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Algebra and Graphing | |
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The Language of Algebra | |
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Solving Equations and Inqualities | |
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Linear Functions | |
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Non-Linear Functions | |
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Statistics | |
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Observational Studies and Experiments | |
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Statistical Graphs and Tables | |
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Misleading Graphs and Statistics | |
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Mode, Median, and Mean | |
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Measuring Spread | |
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Standardized Test Scores | |
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Probability | |
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Experimental and Theoretical Probability | |
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Probability Rules and Simulations | |
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Counting | |
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Independent and Dependent Events | |
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Expected Values and Odds | |