Mathematics, Grade 7 Structure and Method Course 1: Mcdougal Littell Structure & Method

by Holt Mcdougal; Sorgenfrey, Robert H.; Graham, John A.

• ISBN13: 9780395480984
• ISBN10: 0395480981
• Format: Hardcover
• Copyright: 1991-01-10
• Publisher: Houghton Mifflin Harcourt School

Table of Contents

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