Table of Contents
Chapter 1. Problem Solving
To the Student 1.1 Introduction to Problem Solving
Math Activity: Tower Puzzle PatternsMaking a Drawing; Guessing and Checking; Making a Table; Using a Model; Working Backward
Math Activity: Pattern Block Sequences Patterns in Nature; Number Patterns; Inductive Reasoning; Problem-Solving Application
Math Activity: Extending Tile PatternsVariables and Equations; Solving Equations; Solving Inequalities; Using Algebra for Problem Solving; Problem Solving Application
Math Activity: Sorting and Classifying Attribute PiecesSets and Their Elements; Relationships between Sets; Operations on Sets; Problem-Solving Application; Infinite Sets 2.2 Functions and Graphs
Math Activity: Slopes of Geoboard Line SegmentsFunctions; Rectangular Coordinates; Linear Functions and Slope; Nonlinear Functions; Interpreting Graphs; Problem Solving Application 2.3 Introduction to Deductive Reasoning
Math Activity: Deductive Reasoning GameDeductive Reasoning; Venn Diagrams; Conditional Statements; Reasoning with Conditional Statements; Problem-Solving Application 3.1 Numeration Systems
Math Activity: Numeration and Place Value with Base Five PiecesGrouping and Number Bases; Ancient Numeration Systems; Reading and Writing Numbers; Rounding Numbers; Models for Numeration; Problem-Solving Application; Base Five Numeration 3.2 Addition and Subtraction
Math Activity: Addition and Subtraction with Base Five Pieces Models for Addition Algorithms; Number Properties; Inequality of Whole Numbers; Models for Subtraction Algorithms; Mental Calculations; Estimation of Sums and Differences; Problem Solving Application 3.3 Multiplication
Math Activity: Multiplication with Base Five PiecesModels for Multiplication Algorithms; Number Properties; Mental Calculations; Estimation of Products; Problem-solving Application 3.4 Division and Exponents
Math Activity: Division with Base Five PiecesModels for Division Algorithms; Division Theorem; Mental Calculations; Estimation of Quotients; Exponents; Order of Operations; Problem-Solving Application 4.1 Factors and Multiples
Math Activity: Divisibility with Base Ten PiecesModels for Factors and Multiples; Problem-Solving Application; Divisibility Tests; Prime and Composite Numbers; Prime Number Test; Sieve of Eratosthenes 4.2 Greatest Common Factor and Least Common Multiple
Math Activity: Factors and Multiples from Tile PatternsPrime Factorizations; Factors of Numbers; Problem-Solving Application; Greatest Common Factor; Least Common Multiple; Problem-Solving Application 5.1 Integers
Math Activity: Addition and Subtraction with Black and Red TilePositive and Negative Integers; Uses of Integers; Models for Integers; Addition; Subtraction; Multiplication; Division; Inequality; Properties of Integers; Mental Calculations; Estimation; Problem-Solving Application 5.2 Introduction to Fractions
Math Activity: Equality and Inequality with Fraction Bars 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 5.3 Operations with Fractions
Math Activity: Operations with Fraction BarsAddition; Subtraction; Multiplication; Division; Number Properties; Mental Calculations; Estimation; Problem-Solving Application 6.1 Decimals and Rational Numbers
Math Activity: Decimal Place Value with Base Ten PiecesDecimal Terminology and Notation; Models for Decimals; Equality of Decimals; Inequality of Decimals; Rational Numbers; Density of Rational Numbers; Estimation; Problem-Solving Application 6.2 Operations with Decimals
Math Activity: Decimal Operations with Base Ten Pieces
and Decimal SquaresAddition; Subtraction; Multiplication; Division; Order of Operations; Repeating Decimals; Properties of Rational Numbers; Mental Computation; Estimation; Problem-Solving Application 6.3 Ratio, Percent, and Scientific Notation
Math Activity: Percents with Decimal SquaresRatios; Proportions; Percent; Calculations with Percents; Mental Calculations with Percents; Estimation; Scientific Notation; Problem-Solving Application 6.4 Irrational and Real Numbers
Math Activity: Irrational Numbers on GeoboardsPythagorean Theorem; Square Roots and Other Roots; Real Numbers; Properties of Real Numbers; Operations with Irrational Numbers; Problem-Solving Application 7.1 Describing and Analyzing Data
Math Activity: Averages with Columns of TileMeasures of Central Tendency; Problem-Solving Application; Box and Whisker Plots; Measures of Variability 7.2 Graphing Data and Making Predictions
Math Activity: Graphing Bell-Shaped DistributionsBar Graphs; Pie Graphs; Pictographs; Line Plots; Stem and Leaf Plots; Histograms; Line Graphs; Scatter Plots; Problem-Solving Application 7.3 Sampling, Predictions, and Simulations
Math Activity: Simulations in Statistics Sampling; Skewed and Symmetric Distributions; Normal Distributions; Measures of Relative Standing; Simulations; Problem-Solving Application 8.1 Single-Stage Experiments
Math Activity: Experimental Probabilities from
SimulationsProbabilities of Outcomes; Probabilities of Events; Mutually Exclusive Events; Odds; Experimental Probability; Simulations; Problem-Solving Application 8.2 Multistage Experiments
Math Activity: Determining Fairness of GamesProbabilities of Outcomes; Probabilities of Events; Problem-Solving Application; Complementary Events; Problem-Solving Application; Expected Value 9.1 Plane Figures
Math Activity: Angles in Pattern Block FiguresMathematical 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 9.2 Polygons and Tessellations
Math Activity: Tessellations with PolygonsAngles in Polygons; Congruence; Regular Polygons; Drawing Regular Polygons; Tessellations with Polygons; Problem-Solving Application 9.3 Space Figures
Math Activity: Nets for Three-Dimensional FiguresPlanes; Polyhedra; Regular Polyhedra; Pyramids and Prisms; Cones and Cylinders; Spheres and Maps*; Problem-Solving Application 9.4 Symmetric Figures
Math Activity: Symmetries of Pattern Block FiguresReflection Symmetry for Plane figures; Rotation Symmetry for Plane Figures; Reflection Symmetry for Space Figures; Rotation Symmetry for Space Figures; Problem-Solving Application 10.1 Systems of Measurement
Math Activity: Perimeters of Pattern Block FiguresNonstandard Units of Length; English Units; Metric Units; Precision and Small Measurements; International System of Units; Problem-Solving Application 10.2 Area and Perimeter
Math Activity: Areas of Pattern Blocks Using Different UnitsNonstandard Units of Area; Standard Units of Area; Perimeter; Areas of Polygons; Circumferences and Areas of Circles; Problem-Solving Application 10.3 Volume and Surface Area
Math Activity: Making Cylinders and Comparing VolumesNonstandard Units of Volume; Standard Units of Volume; Surface Area; Volumes of Space Figures; Irregular Shapes; Creating Surface Area*; Problem-Solving Application 11.1 Congruence and Constructions
Math Activity: Tracing Figures from Motions with TileMappings; Constructing Segments and Angles; Constructing Triangles; Constructing Bisectors; Constructing Perpendicular and Parallel Lines; Circumscribing Circles about Triangles; Constructions with a Mira; Problem-Solving Application 11.2 Congruence Mappings
Math Activity: Rotating, Reflecting, and Translating Figures on GridsTranslations; Reflections; Rotations; Composition of Mappings; Congruence; Mapping Figures onto Themselves; Escher-Type Tessellations*; Problem-Solving Application 11.3 Similarity Mappings
Math Activity: Enlargements with Pattern BlocksSimilarity 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 |

feedback form |
permissions |
international |
locate your campus rep |
request a review copy

digital solutions |
publish with us |
customer service |
mhhe home

Copyright ©2001 The McGraw-Hill Companies.

Any use is subject to the
Terms of Use and Privacy Policy.

McGraw-Hill Higher Education is one of the many fine businesses of the
The McGraw-Hill Companies.