Exploring Mathematics,9780673455277

Exploring Mathematics

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ISBN13: 9780673455277
ISBN10: 0673455270
Format: Hardcover
Pub. Date: 1994-01-01
Publisher(s): Scott Foresman & Co
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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

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