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Table of Contents
Brief Contents
Chapter 1. Problem Solving Detailed Contents: PrefaceTo the Student 1.1 Introduction to Problem Solving Making a Drawing; Guessing and Checking; Making a Table; Using a Model; Working Backward 1.2 Patterns and Problem Solving Patterns in Nature; Number Patterns; Inductive Reasoning; Problem-Solving Application 1.3 Problem Solving with Algebra Variables and Equations; Solving Equations; Solving Inequalities; Using Algebra for Problem Solving; Problem Solving Application 2.1 Sets and Counting Sets and Their Elements; Relationships between Sets; Operations on Sets; Problem-Solving Application; Infinite Sets Functions; Rectangular Coordinates; Linear Functions and Slope; Nonlinear Functions; Interpreting Graphs; Problem Solving Application Deductive Reasoning; Venn Diagrams; Conditional Statements; Reasoning with Conditional Statements; Problem-Solving Application Grouping and Number Bases; Ancient Numeration Systems; Reading and Writing Numbers; Rounding Numbers; Models for Numeration; Problem-Solving Application; Base Five Numeration Models for Addition Algorithms; Number Properties; Inequality of Whole Numbers; Models for Subtraction Algorithms; Mental Calculations; Estimation of Sums and Differences; Problem Solving Application Models for Multiplication Algorithms; Number Properties; Mental Calculations; Estimation of Products; Problem-solving Application Models for Division Algorithms; Division Theorem; Mental Calculations; Estimation of Quotients; Exponents; Order of Operations; Problem-Solving Application Models for Factors and Multiples; Problem-Solving Application; Divisibility Tests; Prime and Composite Numbers; Prime Number Test; Sieve of Eratosthenes Prime Factorizations; Factors of Numbers; Problem-Solving Application; Greatest Common Factor; Least Common Multiple; Problem-Solving Application Positive and Negative Integers; Uses of Integers; Models for Integers; Addition; Subtraction; Multiplication; Division; Inequality; Properties of Integers; Mental Calculations; Estimation; Problem-Solving Application Fraction Terminology; Models for Fractions; Equality of Fractions; Common Denominators; Inequality; Density of Fractions; Mixed Numbers and Improper Fractions; Mental Calculations; Estimation; Problem-Solving Application Addition; Subtraction; Multiplication; Division; Number Properties; Mental Calculations; Estimation; Problem-Solving Application Decimal Terminology and Notation; Models for Decimals; Equality of Decimals; Inequality of Decimals; Rational Numbers; Density of Rational Numbers; Estimation; Problem-Solving Application Addition; Subtraction; Multiplication; Division; Order of Operations; Repeating Decimals; Properties of Rational Numbers; Mental Computation; Estimation; Problem-Solving Application Ratios; Proportions; Percent; Calculations with Percents; Mental Calculations with Percents; Estimation; Scientific Notation; Problem-Solving Application Pythagorean Theorem; Square Roots and Other Roots; Real Numbers; Properties of Real Numbers; Operations with Irrational Numbers; Problem-Solving Application Measures of Central Tendency; Problem-Solving Application; Box and Whisker Plots; Measures of Variability Bar Graphs; Pie Graphs; Pictographs; Line Plots; Stem and Leaf Plots; Histograms; Line Graphs; Scatter Plots; Problem-Solving Application Sampling; Skewed and Symmetric Distributions; Normal Distributions; Measures of Relative Standing; Simulations; Problem-Solving Application Probabilities of Outcomes; Probabilities of Events; Mutually Exclusive Events; Odds; Experimental Probability; Simulations; Problem-Solving Application Probabilities of Outcomes; Probabilities of Events; Problem-Solving Application; Complementary Events; Problem-Solving Application; Expected Value Mathematical Systems; Points, Lines, and Planes; Half-Planes, Segments, Rays, and Angles; Problem-Solving Application; Angle Measurements; Perpendicular and Parallel Lines; Problem-Solving Application; Curves and Convex Sets; Polygons; Problem-Solving Application Angles in Polygons; Congruence; Regular Polygons; Drawing Regular Polygons; Tessellations with Polygons; Problem-Solving Application Planes; Polyhedra; Regular Polyhedra; Pyramids and Prisms; Cones and Cylinders; Spheres and Maps*; Problem-Solving Application Reflection Symmetry for Plane figures; Rotation Symmetry for Plane Figures; Reflection Symmetry for Space Figures; Rotation Symmetry for Space Figures; Problem-Solving Application Nonstandard Units of Length; English Units; Metric Units; Precision and Small Measurements; International System of Units; Problem-Solving Application Nonstandard Units of Area; Standard Units of Area; Perimeter; Areas of Polygons; Circumferences and Areas of Circles; Problem-Solving Application Nonstandard Units of Volume; Standard Units of Volume; Surface Area; Volumes of Space Figures; Irregular Shapes; Creating Surface Area*; Problem-Solving Application Mappings; Constructing Segments and Angles; Constructing Triangles; Constructing Bisectors; Constructing Perpendicular and Parallel Lines; Circumscribing Circles about Triangles; Constructions with a Mira; Problem-Solving Application Translations; Reflections; Rotations; Composition of Mappings; Congruence; Mapping Figures onto Themselves; Escher-Type Tessellations*; Problem-Solving Application Similarity and Scale Factors; Similar Polygons; Similar Triangles; Problem-Solving Application; Scale Factors with Area and Volume; Sizes and Shapes of Living Things* Answers to Puzzlers Answers to Odd-Numbered Exercises and Problems and Chapter Tests Credits Index |
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