Exploring Mathematics

by Bolster, L. Carey; Boyer, Clem; Butts, Thomas; Cavanagh, Mary; Channel, Marea W.; Crown, Warren D.; Fair, Jan

• ISBN13: 9780673455277
• ISBN10: 0673455270
• Format: Hardcover
• Copyright: 1994-01-01
• Publisher: Scott Foresman & Co

Table of Contents

Welcome to Exploring Mathematics	xi
Getting Started
Number-Sense Project Chapter Opener	2	(2)
Using Numbers	4	(4)
Problem Solving: Using a Problem-Solving Guide	6	(2)
Multiplying Decimals	8	(8)
Activity: Estimating Sums, Differences, and Products	10	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Critical Thinking Activity, Math Laugh	14	(2)
Mental Math Strategies	16	(2)
Using Division	18	(6)
Problem-Solving: Use Data from a Graph	22	(2)
Choose a Computation Method	24	(2)
Problem-Solving Strategy: Choose an Operation	26	(2)
Chapter Review	28	(1)
Cumulative Skills Review	29	(1)
Reteaching	30	(2)
More Practice	32	(2)
Enrichment: The Binary System	34	(1)
Chapter Review/Test	35	(1)
Tables, Expressions, and Equations
Number-Sense Project Chapter Opener	36	(6)
Activity: Using Tables	38	(4)
Evaluating Expressions: One Operation	42	(2)
Writing Expressions: One Operation	44	(2)
Solving Addition and Subtraction Equations	46	(2)
Solving Multiplication and Division Equations	48	(2)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Math-at-Home Activity	50	(2)
Problem-Solving Strategy: Write an Equation	52	(2)
Order of Operations	54	(2)
Evaluating Expressions: Multiple Operations	56	(2)
Writing Expressions: Multiple Operations	58	(2)
Solving Two-Step Equations	60	(2)
Problem Solving Strategy: Use a Formula	62	(2)
Chapter Review	64	(1)
Cumulative Skills Review	65	(1)
Reteaching	66	(2)
More Practice	68	(2)
Enrichment: Solving Equations with Variables on Both Sides	70	(1)
Chapter Review/Test	71	(1)
Divinding Whole Numbers and Decimals
Number-Sense Project Chapter Opener	72	(2)
Dividing with Multiples of 10, 100, and 1,000	74	(2)
Number Sense: Using Compatible Numbers	76	(2)
Applications of Whole Number Division	78	(4)
Problem Solving: Interpret the Remainder	80	(2)
Dividing Decimals by Whole Numbers	82	(2)
Expressing Fractions as Decimals	84	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Explore as a Team	86	(2)
Activity: Multiplying and Dividing by Powers of 10	88	(2)
Dividing by a Decimal	90	(2)
Problem Solving: Deciding When an Estimate is Enough	92	(2)
Writing Expressions with Decimals	94	(2)
Solving Equations Involving Decimals	96	(2)
Problem-Solving Strategy: Write an Equation	98	(2)
Chapter Review	100	(1)
Cumulative Skills Review	101	(1)
Reteaching	102	(2)
More Practice	104	(2)
Enrichment: Expressing Repeating Decimals as Fractions	106	(1)
Chapter Review/Test	107	(1)
Data File	108	(2)
Cumulative Review/Test	110	(2)
Geometry
Number-Sense Project Chapter Opener	112	(2)
Points, Lines, and Planes	114	(4)
Classifying Angles	118	(2)
Classifying Triangles	120	(2)
Classifying Polygons	122	(4)
Problem-Solving Strategy: Make a Table	124	(2)
Circles	126	(2)
Translations	128	(2)
Reflections and Rotations	130	(6)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Visual Thinking Activity	134	(2)
Constructing Segments, Angles, and Bisectors	136	(4)
Constructing Perpendicular and Parallel Lines	140	(2)
Constructing Triangles	142	(4)
Activity: Problem-Solving Strategy Try and Check	144	(2)
Chapter Review	146	(1)
Cumulative Skills Review	147	(1)
Reteaching	148	(2)
More Practice	150	(2)
Enrichment: Using Construction	152	(1)
Chapter Review/Test	153	(1)
Number Theory
Number-Sense Project Chapter Opener	154	(2)
Divisibility	156	(2)
Exponents	158	(2)
Activity: Prime and Composite Numbers	160	(4)
Prime Factorization	164	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team	166	(2)
Greatest Common Factor	168	(2)
Least Common Multiple	170	(2)
Problem-Solving Strategy: Make a Table	172	(2)
Patterns in Pascal's Triangle	174	(4)
Problem-Solving Strategy: Use Logical Reasoning	176	(2)
Chapter Review	178	(1)
Cumulative Skills Review	179	(1)
Reteaching	180	(2)
More Practice	182	(2)
Enrichment: Perfect, Abundant, and Deficient Numbers	184	(1)
Chapter Review/Test	185	(1)
Fraction Computation
Number-Sense Project Chapter Opener	186	(2)
Equal Fractions	188	(2)
Mixed Numbers and Improper Fractions	190	(2)
Comparing and Ordering Fractions and Mixed Numbers	192	(2)
Estimating Sums and Differences	194	(2)
Adding Fractions and Mixed Numbers	196	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Math-at-Home Activity, Math Laugh	200	(2)
Subtracting Fractions and Mixed Numbers	202	(2)
Subtracting Mixed Numbers with Renaming	204	(2)
Problem-Solving Strategy: Write an Equation	206	(2)
Multiplying Fractions and Mixed Numbers	208	(4)
Problem-Solving Strategy: Work Backward	212	(2)
Activity: Dividing Fractions and Mixed Numbers	214	(4)
Solving Multiplication and Division Equations	218	(2)
Problem-Solving Strategy: Find a Pattern	220	(2)
Chapter Review	222	(1)
Cumulative Skills Review	223	(1)
Reteaching	224	(2)
More Practice	226	(2)
Enrichment: Harmonic Sequences	228	(1)
Chapter Review/Test	229	(1)
Measurement
Number-Sense Project Chapter Opener	230	(2)
Equal Customary Units of Length, Area, and Volume	232	(4)
Equal Customary Units of Weight and Capacity	236	(2)
Problem Solving: Too Much, Too Little Information	238	(2)
Overview of the Metric System	240	(2)
Metric Units of Length, Area, and Volume	242	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making	246	(2)
Metric Units of Capacity and Mass	248	(4)
Problem Solving: Give Sensible Answers	250	(2)
Activity: Precision in Measurement	252	(2)
Problem Solving: Use Data from a Table	254	(2)
Chapter Review	256	(1)
Cumulative Skills Review	257	(1)
Reteaching	258	(2)
More Practice	260	(2)
Enrichment: Relative Error	262	(1)
Chapter Review/Test	263	(1)
Data File	264	(2)
Cumulative Review/Test	266	(2)
Relating Ratio, Proportion, and Percent
Number-Sense Project Chapter Opener	268	(2)
Ratio	270	(2)
Proportions	272	(2)
Solving Proportions	274	(2)
Problem-Solving Strategy: Write an Equation	276	(2)
Activity: Similar Figures	278	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Math-at-Home Activity	282	(2)
Scale Drawings	284	(4)
Problem Solving: Use Data from a Diagram	286	(2)
Solving Percent Problems Using Proportions	288	(4)
Chapter Review	292	(1)
Cumulative Skills Review	293	(1)
Reteaching	294	(2)
More Practice	296	(2)
Enrichment: The Golden Ratio	298	(1)
Chapter Review/Test	299	(1)
Percent
Number-Sense Project Chapter Opener	300	(2)
Percents and Decimals	302	(2)
Activity: Percents and Fractions	304	(4)
Finding a Percent of a Number	308	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Math-at-Home Activity, Math Laugh	312	(2)
Finding What Percent One Number Is of Another	314	(2)
Finding a Number When a Percent of It Is Known	316	(2)
Problem-Solving Strategy: Use a Formula	318	(2)
Estimating with Percents	320	(2)
Solving Percent Problems Using Equations	322	(4)
Problem Solving: Multiple-Step Problems	324	(2)
Chapter Review	326	(1)
Cumulative Skills Review	327	(1)
Reteaching	328	(2)
More Practice	330	(2)
Enrichment: Percent of Increase or Decrease	332	(1)
Chapter Review/Test	333	(1)
Geometry and Measurement
Number-Sense Project Chapter Opener	334	(2)
Three-Dimensional Figures	336	(4)
Problem-Solving Strategy: Solve a Simpler Problem	340	(2)
Perimeter and Area of Rectangles	342	(4)
Activity: Perimeter and Area of Parallelograms and Triangles	346	(2)
Perimeter and Area of Other Polygons	348	(2)
Circumference of a Circle	350	(2)
Area of a Circle	352	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team, Math-at-Home Activity, Visual Thinking Activity	356	(2)
Surface Area of a Polyhedron	358	(2)
Surface Area of a Cylinder	360	(2)
Volume of Prisms and Cylinders	362	(2)
Volume of Pyramids and Cones	364	(2)
Geometric Relationships	366	(2)
Problem-Solving Strategy: Use a Formula	368	(2)
Chapter Review	370	(1)
Cumulative Skills Review	371	(1)
Reteaching	372	(2)
More Practice	374	(2)
Enrichment: Dimensions Related to Surface Area	376	(1)
Chapter Review/Test	377	(1)
Statistics
Number-Sense Project Chapter Opener	378	(2)
Interpreting the Mean, Median, and Mode	380	(4)
Activity: Gathering and Organizing Data	384	(4)
Problem-Solving Strategy: Solve a Simpler Problem	388	(2)
Stem-and-Leaf Plots	390	(2)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Visual Thinking Activity	392	(2)
Bar Graphs and Histograms	394	(2)
Circle Graphs	396	(2)
Broken-Line Graphs	398	(4)
Problem-Solving Strategy: Make a Graph	400	(2)
Misuse of Statistics	402	(2)
Problem-Solving Strategy: Make a Graph	404	(2)
Chapter Review	406	(1)
Cumulative Skills Review	407	(1)
Reteaching	408	(2)
More Practice	410	(2)
Enrichment: Box-and-Whisker Plots	412	(1)
Chapter Review/Test	413	(1)
Data File	414	(2)
Cumulative Review/Test	416	(2)
Probability
Number-Sense Project Chapter Opener	418	(2)
Activity: Experimental Probability	420	(4)
Problem Solving: Collecting Data	424	(2)
Activity: Theoretical Probability	426	(2)
Activity: Probability Games	428	(2)
Fundamental Counting Principle	430	(2)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Explore as a Team	432	(2)
Independent Events	434	(2)
Dependent Events	436	(2)
Probability Tree Diagrams	438	(2)
Problem Solving: Use Data from a Table	440	(2)
Chapter Review	442	(1)
Cumulative Skills Review	443	(1)
Reteaching	444	(2)
More Practice	446	(2)
Enrichment: Permutations and Combinations	448	(1)
Chapter Review/Test	449	(1)
Integers and Rational Numbers
Number-Sense Project Chapter Opener	450	(2)
Meanings of Integers	452	(2)
Adding Integers	454	(2)
Activity: Subtracting Integers	456	(2)
Multiplying Integers	458	(2)
Dividing Integers	460	(2)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Visual Thinking Activity, Math Laugh	462	(2)
Problem Solving: Use Data from a Table	464	(2)
Rational Numbers	466	(2)
Square Roots	468	(2)
Activity: Pythagorean Theorem	470	(4)
Problem-Solving Strategy: Use a Formula	474	(2)
Exponents and Powers of 10	476	(2)
Scientific Notation	478	(2)
Chapter Review	480	(1)
Cumulative Skills Review	481	(1)
Reteaching	482	(2)
More Practice	484	(2)
Enrichment: Computing with Scientific Notation	486	(1)
Chapter Review/Test	487	(1)
Expressions and Equations with Rational Numbers
Number-Sense Project Chapter Opener	488	(2)
Order and Properties of Operations	490	(4)
Evaluating and Writing Addition and Subtraction Expressions	494	(2)
Solving Addition and Subtraction Equations	496	(2)
Activity: Evaluating and Writing Multiplication and Division Expressions	498	(2)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Real-Life Decision Making, Math-at-Home Activity, Math Laugh	500	(2)
Solving Multiplication and Division Equations	502	(2)
Problem-Solving Strategy: Write an Equation	504	(2)
Solving Two-Step Equations	506	(2)
Problem-Solving Strategy: Use a Formula	508	(2)
Chapter Review	510	(1)
Cumulative Skills Review	511	(1)
Reteaching	512	(2)
More Practice	514	(2)
Enrichment: Function Notation	516	(1)
Chapter Review/Test	517	(1)
Graphing Equations and Inequalities
Number-Sense Project Chapter Opener	518	(2)
Graphing on the Number Line	520	(2)
Graphing Points in the Coordinate Plane	522	(2)
Activity: Translating Figures in the Coordinate Plane	524	(4)
Activity: Reflections in the Coordinate Plane	528	(4)
Rotations in the Coordinate Plane	532	(4)
Problem-Solving Workshop: Number-Sense Project, Explore with a Computer, Explore as a Team	536	(2)
Problem-Solving Strategy: Draw a Diagram	538	(2)
Solving Problems in Two Variables	540	(2)
Graphing Linear Equations	542	(2)
Solving Pairs of Linear Equations by Graphing	544	(2)
Problem-Solving Strategy: Make a Graph	546	(2)
Problem Solving: Use Alternate Strategies	548	(2)
Chapter Review	550	(1)
Cumulative Skills Review	551	(1)
Reteaching	552	(2)
More Practice	554	(2)
Enrichment: Graphing Nonlinear Equations	556	(1)
Chapter Review/Test	557	(1)
Data File	558	(2)
Cumulative Review/Test	560	(2)
Review
Whole Number Numeration	562	(1)
Decimal Numeration	563	(1)
Adding and Subtracting Whole Numbers	564	(1)
Multiplying Whole Numbers	565	(1)
Adding and Subtracting Decimals	566	(1)
Rounding Whole Numbers and Decimals	567	(1)
Two-Digit Divisors: One-Digit Quotients	568	(1)
Two-Digit Divisors: Multi-Digit Quotients	569	(1)
Angles	570	(2)
Adding Fractions	572	(1)
Subtracting Fractions	573	(1)
Customary Units of Length, Area, and Volume	574	(1)
Customary Units of Weight and Capacity	575	(1)
Independent Study Handbook
How to Use a Calculator	576	(2)
Problem-Solving Help File	578	(2)
Mental Math Strategies	580	(2)
Estimation Strategies	582	(2)
Math Study Skills	584	(2)
Working in Groups	586	(1)
Tables	587	(1)
Glossary	588	(4)
Selected Answers	592	(12)
Index	604