| |
| |
| |
| An Introduction to Problem Solving | |
| |
| |
| |
| Mathematics and Problem Solving | |
| |
| |
| |
| Explorations with Patterns | |
| |
| |
| |
| Reasoning and Logic: An Introduction | |
| |
| |
| |
| Numeration Systems and Sets | |
| |
| |
| |
| Numeration Systems | |
| |
| |
| |
| Describing Sets | |
| |
| |
| |
| Other Set Operations and Their Properties | |
| |
| |
| |
| Whole Numbers and Their Operations | |
| |
| |
| |
| Addition and Subtraction of Whole Numbers | |
| |
| |
| |
| Algorithms for Whole-Number Addition and Subtraction | |
| |
| |
| |
| Multiplication and Division of Whole Numbers | |
| |
| |
| |
| Algorithms for Whole-Number Multiplication and Division | |
| |
| |
| |
| Mental Mathematics and Estimation for Whole-Number Operations | |
| |
| |
| |
| Algebraic Thinking | |
| |
| |
| |
| Variables | |
| |
| |
| |
| Equations | |
| |
| |
| |
| Functions | |
| |
| |
| |
| Integers and Number Theory | |
| |
| |
| |
| Integers and the Operations of Addition and Subtraction | |
| |
| |
| |
| Multiplication and Division of Integers | |
| |
| |
| |
| Divisibility | |
| |
| |
| |
| Prime and Composite Numbers | |
| |
| |
| |
| Greatest Common Divisor and Least Common Multiple | |
| |
| |
| |
| Clock and Modular Arithmetic | |
| |
| |
| |
| Rational Numbers as Fractions | |
| |
| |
| |
| The Set of Rational Numbers | |
| |
| |
| |
| Addition and Subtraction of Rational Numbers | |
| |
| |
| |
| Multiplication and Division of Rational Numbers | |
| |
| |
| |
| Decimals and Real Numbers | |
| |
| |
| |
| Introduction to Decimals | |
| |
| |
| |
| Operations on Decimals | |
| |
| |
| |
| Nonterminating Decimals | |
| |
| |
| |
| Real Numbers | |
| |
| |
| |
| Using Real Numbers in Equations | |
| |
| |
| |
| Proportional Reasoning, Percents and Applications | |
| |
| |
| |
| Ratios, Proportions and Proportional Reasoning | |
| |
| |
| |
| Percents | |
| |
| |
| |
| Computing Interest | |
| |
| |
| |
| Probability | |
| |
| |
| |
| How Probabilities are Determined | |
| |
| |
| |
| Multistage Experiments with Tree Diagrams and Geometric Probabilities | |
| |
| |
| |
| Using Simulations in Probability | |
| |
| |
| |
| Odds, Conditional Probability, and Expected Value | |
| |
| |
| |
| Using Permutations and Combinations in Probability | |
| |
| |
| |
| Data Analysis/Statistics: An Introduction | |
| |
| |
| |
| Displaying Data: Part I | |
| |
| |
| |
| Displaying Data: Part II | |
| |
| |
| |
| Measures of Central Tendency and Variation | |
| |
| |
| |
| Designing Experiments/Collecting Data | |
| |
| |
| |
| Abuses of Statistics | |
| |
| |
| |
| Introductory Geometry | |
| |
| |
| |
| Basic Notions | |
| |
| |
| |
| Polygons | |
| |
| |
| |
| More about Angles | |
| |
| |
| |
| Geometry in Three Dimensions | |
| |
| |
| |
| Networks | |
| |
| |
| |
| Constructions, Congruence, and Sim | |