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| Problem Solving | |
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| Seeing and Extending Patterns with Pattern Blocks | |
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| Geometric Number Patterns with Color Tile | |
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| Solving Story Problems with Algebra Pieces | |
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| Sets, Functions, and Reasoning | |
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| Sorting and Classifying with Attribute Pieces | |
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| Slope and Linear Functions on Geoboards | |
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| Logic Problems for Cooperative Learning Groups | |
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| Whole Numbers | |
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| Models for Numeration with Multibase Pieces | |
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| Adding and Subtracting with Multibase Pieces | |
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| Multiplying with Base-Ten Pieces | |
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| Dividing with Base-Ten Pieces | |
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| Number Theory | |
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| Models for Even Numbers, Odd Numbers, Factors, and Primes | |
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| Models for Greatest Common Factors and Least Common Multiple | |
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| Integers and Fractions | |
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| Black and Red Tile Model for Integers | |
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| Fractions Bar Model for Equality and Inequality | |
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| Computing with Fraction Bars | |
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| Decimals: Rational and Irrational | |
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| Decimal Squares Model | |
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| Operations with Decimal Squares | |
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| A Model for Introducing Percent | |
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| Irrational Numbers on the Geoboard | |
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| Statistics | |
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| Collecting and Graphing Data | |
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| Analyzing Data, Sampling, and Simulation | |
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| Statistical Distributions: Observations and Applicatons | |
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| Probability | |
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| Probability Experiments | |
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| Multistage Probability Experiments | |
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| Geometric Figures | |
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| Figures on Rectangular and Circular Geoboards | |
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| Regular and Semiregular Tessellations | |
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| Models for Regular and Semiregular Polyhedra | |
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| Creating Symmetric Figures: Pattern Blocks and Paper Folding | |
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| Measurement | |
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| Measuring the Metric Units | |
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| Areas on Geoboards | |
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| Models for Volume and Surface Area | |
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| Motions in Geometry | |
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| Locating Sets of Points in the Plane | |
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| Drawing Escher-Type Tessellations | |
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| Devises for Indirect Activities References for Research Statements by Chapters | |
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| Answers to Selected Activities | |
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| Answers to Odd-Numbered Exercises, Problems and Chapter Tests | |