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| Problem Solving | |
| Solving Problems | |
| Explaining Solutions | |
| Numbers and the Decimal System | |
| Overview of the Number Standards | |
| The Decimal System and Place Value | |
| Representing Decimal Numbers | |
| Comparing Decimal Numbers | |
| Rounding Decimal Numbers | |
| Fractions | |
| The Meaning of Fractions | ... MORE |
| Fractions as Numbers | |
| Equivalent Fractions | |
| Comparing Fractions | |
| Percent | |
| Addition and Subtraction | |
| Interpretations of Addition and Subtraction | |
| Why the Standard Algorithms for Adding and Subtracting Decimal Numbers Work | |
| Adding and Subtracting Fractions | |
| When Do We Add Percentages? | |
| Percent Increase and Percent Decrease | |
| The Commutative and Associative Properties of Addition and Mental Math | |
| Multiplication | |
| The Meaning of Multiplication and Ways to Show Multiplication | |
| Why Multiplying Decimal Numbers by 10 is Easy | |
| The Commutative Property of Multiplication and Areas of Rectangles | |
| The Associative Property of Multiplication and Volumes of Boxes | |
| The Distributive Property | |
| Mental Math, Properties of Arithmetic, and Algebra | |
| Why the Procedure for Multiplying Whole Numbers Works | |
| Multiplication of Fractions, Decimals, and Negative Numbers | |
| Multiplying Fractions | |
| Multiplying Decimals | |
| Multiplying Negative Numbers | |
| Scientific Notation | |
| Division | |
| The Meaning of Division | |
| Understanding Long Division | |
| Fractions and Division | |
| Dividing Fractions | |
| Dividing Decimals | |
| Ratio and Proportion | |
| Geometry | |
| Visualization | |
| Angles | |
| Circles and Spheres | |
| Triangles, Quadrilaterals, and Other Polygons | |
| Constructions with Straightedge and Compass | |
| Polyhedra and Other Solid Shapes | |
| Geometry of Motion and Change | |
| Reflections, Translations, and Rotations | |
| Symmetry | |
| Congruence | |
| Similarity | |
| Measurement | |
| Fundamentals of Measurement | |
| Length, Area, Volume, and Dimension | |
| Calculating Perimeters of Polygons, Areas of Rectangles, and Volumes of Boxes | |
| Error and Accuracy in Measurements | |
| Converting from One Unit of Measurement to Another | |
| More About Area and Volume | |
| The Moving and Additivity Principles About Area | |
| Using the Moving and Additivity Principles to Prove the Pythagorean Theorem | |
| Areas of Triangles | |
| Areas of Parallelograms | |
| Cavalieri's Principle About Shearing and Area | |
| Areas of Circles and the Number Pi | |
| Approximating Areas of Irregular Shapes | |
| Relating the Perimeter and Area of a Shape | |
| Principles for Determining Volumes | |
| Volumes of Prisms, Cylinders, Pyramids, and Cones | |
| Areas, Volumes, and Scaling | |
| Number Theory | |
| Factors and Multiples | |
| Greatest Common Factor and Least Common Multiple | |
| Prime Numbers | |
| Even and Odd | |
| Divisibility Tests | |
| Rational and Irrational Numbers | |
| Functions and Algebra | |
| Mathematical Expressions, Formulas, and Equations | |
| Solving Equations Using Number Sense, Strip Diagrams, and Algebra | |
| Sequences | |
| Series | |
| Functions | |
| Linear Functions | |
| Statistics | |
| Formulating Questions, Designing Investigations, and Gathering Data | |
| Displaying Data and Interpreting Data Dis | |
| Table of Contents provided by Publisher. All Rights Reserved. |