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Tables of Contents for Mathematics, Grade 7 Structure and Method Course 1
Chapter/Section Title
Page #
Page Count
Reading Mathematics
xv
Diagnostic Test of Whole Number Skills
xvi
Exploring in Mathematics
E1
Operations with Whole Numbers
xlii
Basic Properties
Mathematical Expressions
2
3
Nonroutine Problem Solving: Working Backward
Properties of Addition and Multiplication
5
4
Communication in Mathematics: Study Helps
Exploring Magic Squares
E1
Inverse Operations
9
6
Calculator Investigation: Patterns
The Distributive Property
Self-Test A
15
1
Using More Than One Operation
Order of Operations
16
2
A Problem Solving Model
18
3
Communication in Mathematics: Study Skills
Problem Solving Applications
21
9
Self-Test B
23
1
Enrichment: Computer Applications
24
2
Chapter Review
26
1
Chapter Test
27
1
Cumulative Review
28
2
Problem Solving Reminders
Using Variables
30
28
Words Into Symbols
Writing Mathematical Expressions
32
4
Communication in Mathematics: Study Helps
Writing Equations
36
3
Communication in Mathematics: Study Skills
Exploring Equations
E3
Writing Inequalities
39
4
Self-Test A
42
1
Nonroutine Problem Solving: Finding a Pattern
Finding Solutions
Solving Equations and Inequalities
43
3
Communication in Mathematics: Study Skills
Solving Other Equations and Inequalities
46
3
Problem Solving: Using Mathematical Expressions
49
9
Problem Solving Reminder
Self-Test B
51
1
Enrichment: Introduction to BASIC
52
2
Chapter Review
54
1
Chapter Test
55
1
Cumulative Review
56
2
Problem Solving Reminders
The Decimal System
58
44
Understanding Decimals
Exponents and Powers of Ten
60
3
Nonroutine Problem Solving: Trial and Error
Exploring Exponents Using Powers of Ten
E5
The Decimal System
63
3
Decimals
66
4
Calculator Investigation: Writing Messages
Comparing Decimals
70
3
Rounding
73
4
Communication in Mathematics: Reading for Meaning
Self-Test A
76
1
Calculator Investigation: Order of Operations
Working with Decimals
Adding and Subtracting Decimals
77
5
Problem Solving Reminder
Multiplying or Dividing by a Power of Ten
82
4
Multiplying Decimals
86
3
Dividing Decimals
89
4
Problem Solving: Using Estimation
93
9
Self-Test B
95
1
Enrichment: Checking Accounts
96
2
Chapter Review
98
1
Chapter Test
99
1
Cumulative Review
100
2
Problem Solving Reminders
Geometric Figures
102
342
Basic Figures
Points, Lines, Planes
104
5
Measuring Segments
109
4
Angles and Angle Measure
113
5
Communication in Mathematics: Reading Symbols
Self-Test A
117
1
Figures in the Plane
Triangles
118
5
Problem Solving Reminder
Polygons
123
5
Communication in Mathematics: Vocabulary
Circles
128
4
Congruent Figures
132
6
Calculator Investigation: Approximations for π
Geometric Constructions
138
12
Self-Test B
141
1
Nonroutine Problem Solving: Acting out the Problem
Enrichment: More Programming in BASIC
142
2
Chapter Review
144
1
Chapter Test
145
1
Cumulative Review
146
4
Problem Solving Reminders
Number Theory
Factors and Multiples
Finding Factors and Multiples
150
3
Tests for Divisibility
153
4
Square Numbers and Square Roots
157
3
Self-Test A
159
1
Nonroutine Problem Solving: Number Sense
Primes, Common Factors and Multiples
Prime Numbers and Composite Numbers
160
3
Greatest Common Factor
163
3
Exploring The Greatest Common Factor
E7
Least Common Multiple
166
12
Communication in Mathematics: Vocabulary
Exploring The Least Common Multiple
E9
Self-Test B
169
1
Computer Investigation: Factors
Enrichment: A History of Numerals
170
2
Chapter Review
172
1
Chapter Test
173
1
Cumulative Review
174
4
Problem Solving Reminders
Fractions: Definitions and Relationships
The Concept of a Fraction
Fractions
178
4
Computer Investigation: Finding the LCM
Equivalent Fractions
182
4
Communication in Mathematics: Vocabulary Nonroutine Problem Solving: Thinking Skills
Exploring Equivalent Fractions
E11
Fractions and Mixed Numbers
186
5
Problem Solving Reminder
Self-Test A
190
191
Nonroutine Problem Solving: Using Deduction
Comparing Fractions and Decimals
Comparing Fractions
191
4
Calculator Investigation: Comparing Fractions
Nonroutine Problem Solving: Finding a Pattern
Changing a Fraction to a Decimal
195
4
Calculator Investigation: Patterns
Changing a Decimal to a Fraction
199
11
Communication in Mathematics: Reading for Meaning
Self-Test B
201
1
Calculator Investigation: Repeating Decimals
Enrichment: People in Mathematics
202
2
Chapter Review
204
1
Chapter Test
205
1
Cumulative Review
206
4
Problem Solving Reminders
Operations with Fractions
Arithmetic Operations
Addition and Subtraction of Fractions
210
4
Addition and Subtraction of Mixed Numbers
214
3
Multiplication of Fractions
217
2
Division of Fractions
219
3
Communication in Mathematics: Study Skills
Calculator Investigation: Patterns
Exploring Division of Fractions
E13
Multiplication and Division of Mixed Numbers
222
4
Problem Solving Reminder
Self-Test A
225
1
Ratio and Proportion
Ratios
226
5
Problem Solving Reminder
Proportions
231
3
Calculator Investigation: Solving Proportions
Problem Solving: Using Proportion
234
3
Calculator Investigation: Reciprocals
Scale Drawing
237
11
Self-Test B
239
1
Enrichment: The Computer and Series
240
2
Chapter Review
242
1
Chapter Test
243
1
Cumulative Review
244
4
Problem Solving Reminders
Solving Equations
Equations
Equations and Variables
248
3
Equations: Addition and Subtraction
251
4
Communication in Mathematics: Study Skills
Nonroutine Problem Solving: Trial and Error
Equations: Multiplication and Division
255
2
Equations: Decimals and Fractions
257
3
Calculator Investigation: Solving Equations
Combined Operations
260
4
Self-Test A
263
1
Word Problems
Word Sentences and Equations
264
3
Translating Problems into Equations
267
3
Problem Solving Reminder
Nonroutine Problem Solving: Writing an Equation
A Problem Solving Model: Writing Equations
270
12
Self-Test B
273
1
Enrichment: Balancing Equations in Chemistry
274
2
Chapter Review
276
1
Chapter Test
277
1
Cumulative Review
278
4
Problem Solving Reminders
Percent
Working with Percent
Percents and Fractions
282
4
Percents and Decimals
286
3
Computing with Percents
289
3
Exploring Percent
E15
Percent of Increase or Decrease
292
4
Problem Solving Reminder
Exploring Percents Greater Than 100
E17
Self-Test A
295
1
Applications of Percent
Discount and Markup
296
4
Problem Solving Reminder
Commission and Profit
300
3
Simple Interest
303
5
Problem Solving Reminder
Calculator Investigation: Percent Key
Compound Interest
308
12
Communication in Mathematics: Study Skills
Self-Test B
311
1
Computer Investigation: Compound Interest
Enrichment: Percents and Proportions
312
2
Chapter Review
314
1
Chapter Test
315
1
Cumulative Review
316
4
Problem Solving Reminders
Areas and Volumes
Areas
Areas of Rectangles and Parallelograms
320
5
Areas of Triangles and Trapezoids
325
5
Nonroutine Problem Solving: Finding a Pattern
Areas of Circles
330
5
Communication in Mathematics: Reading Diagrams
Nonroutine Problem Solving: Organizing Data
Using Symmetry to Find Areas
335
4
Self-Test A
338
1
Volume, Mass, and Surface Area
Polyhedrons
339
4
Calculator Investigation: Square Roots
Volumes of Prisms
343
4
Volumes of Cylinders
347
4
Communication in Mathematics: Vocabulary
The Mass of an Objects
351
3
Problem Solving Reminder
Surface Area
354
12
Self-Test B
357
1
Enrichment: The Pythagorean Theorem
358
2
Chapter Review
360
1
Chapter Test
361
1
Cumulative Review
362
4
Problem Solving Reminders
Integers and Graphs
Operations with Integers
Negative Numbers
366
4
Computer Investigation: Patterns
Adding Integers
370
5
Communication in Mathematics: Study Skills
Exploring Addition of Integers
E19
Subtracting Integers
375
3
Exploring Subtraction with Integers
E21
Products with One Negative Factor
378
2
Products with Several Negative Factors
380
3
Nonroutine Problem Solving: Number Sense
Quotients of Integers
383
3
Self-Test A
385
1
Calculator Investigation: +/- Key
Nonroutine Problem Solving: Trial and Error
Equations and Graphs
Solving Equations
386
3
Communication in Mathematics: Study Skills
Graphs of Ordered Pairs
389
3
Nonroutine Problem Solving: Drawing a Diagram
Graphs of Equations
392
12
Self-Test B
395
1
Enrichment: Graphing Inequalities
396
2
Chapter Review
398
1
Chapter Test
399
1
Cumulative Review
400
4
Problem Solving Reminders
Statistics and Probability
Analyzing Data
Picturing Numerical Data
404
4
Pictographs and Circle Graphs
408
5
Mean, Median, and Range
413
3
Nonroutine Problem Solving: Decision Making
Frequency Distributions
416
4
Communication in Mathematics: Reading Tables
Computer Investigation: Finding the Mean
Stem-and-Leaf Plots
420
2
Box-and-Whisker Plots
422
2
Exploring Box-and-Whisker Plots
E23
Histograms and Frequency Polygons
424
3
Self-Test A
426
1
Probability
Probability of an Event
427
4
Problem Solving Reminder
Computer Investigation: Probability
Probability and Odds
431
4
Communication in Mathematics: Mathematical Terms in Context
Combined Probabilities
435
9
Self-Test B
437
1
Enrichment: Statistical Sampling
438
2
Chapter Review
440
1
Chapter Test
441
1
Cumulative Review
442
2
Problem Solving Reminders
Skill Review
444
2
Extra Practice
446
22
Table of Square Roots of Integers from 1 to 100
468
1
Summary of Formulas
469
1
Appendix A: Estimation
470
3
Glossary
473
5
Index
478
6
Answers to Selected Exercises
484