South Carolina Math Connects: Concepts, Skills, and Problem Solving, Course 3

396 Pages·2008·10.06 MB·English

by  Day, Roger, Frey, Patricia, Howard, Arthur C, Hutchens, Deborah A, Luchin, Beatrice, McClain, Kay

StudyText
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Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted
under the United States Copyright Act, no part of this publication may be reproduced or
distributed in any form or by any means, or stored in a database or retrieval system, without
the prior permission of the publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 978-0-07-890683-1
MHID: 0-07-890683-0 South Carolina StudyText, Course 3
Printed in the United States of America.
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Using Your South Carolina StudyText
South Carolina Math Connects StudyText, Course 3 is a practice workbook
designed to help you master the South Carolina Academic Standards for Grade 8
Mathematics. It is divided into three sections.
Prerequisite Skills Check
This is an assessment of the South Carolina Mathematics Standards from
Grade 7. This will help you determine which topics you may need to review before
beginning your studies this year.
Chapter Resources
• Each chapter begins with two activities. The Anticipation Guide is an
informal assessment of what you may think you know about the topics in the
chapter. This can help you determine how well you are prepared for the content
of the chapter. The Family Activity is a problem-solving opportunity to
practice at home. Each question has a full solution to help you check your work.
• The chapter contains four pages for each Key Lesson in your Student Edition of
South Carolina Math Connects, Course 3. Your teacher may ask you to complete
one or more of these worksheets as an assignment.
c. • Each chapter ends with a two-page Chapter Test that assesses the South
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Contents in Brief
Chapter-by-Chapter Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi
South Carolina Academic Standards, Grade 8 Mathematics. . . . . . . . . . xix
Prerequisite Skills Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter Resources
1 Algebra: Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2 Algebra: Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
3 Real Numbers and the Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . 79
4 Proportions and Similarity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
5 Percent. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
6 Geometry and Spatial Reasoning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
7 Measurement: Area and Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
8 Algebra: More Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . 215
9 Algebra: Linear Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243
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CHAPTER
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Chapter-by-Chapter Contents
1 Algebra: Integers
Use with Glencoe South
Academic Math Carolina Math Connects,
Page Lesson Standard(s) Focus Course 3 (pages)
11 Chapter 1 Anticipation Guide
12 Chapter 1 Family Activity
1-2 Variables, Expressions, and Properties 29–34
13 Explore Through Reading 8-3.3, 8-1.6
14 Study Guide 8-3.3, 8-1.6
15 Homework Practice 8-3.3, 8-1.6
16 Problem-Solving Practice 8-3.3, 8-1.6
1-3 Integers and Absolute Value 35–39
17 Explore Through Reading 8-2.4, 8-2.5
18 Study Guide 8-2.4, 8-2.5
19 Homework Practice 8-2.4, 8-2.5
20 Problem-Solving Practice 8-2.4, 8-2.5
1-4 Adding Integers 41–45
21 Explore Through Reading 8-2.1
22 Study Guide 8-2.1
23 Homework Practice 8-2.1
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24 Problem-Solving Practice 8-2.1 p
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1-5 Subtracting Integers 46–49 righ
25 Explore Through Reading 8-2.1 t © G
26 Study Guide 8-2.1 len
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27 Homework Practice 8-2.1 oe
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28 Problem-Solving Practice 8-2.1 c
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1-6 Multiplying and Dividing Integers 51–56 raw
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31 Homework Practice 8-2.1 is
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32 Problem-Solving Practice 8-2.1 n o
1-7 Writing Equations 57–61 f Th
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33 Explore Through Reading 8-3.2 M
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34 Study Guide 8-3.2 ra
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35 Homework Practice 8-3.2 -H
36 Problem-Solving Practice 8-3.2 ill C
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1-8 Problem-Solving Investigation: Work Backward 62–63 p
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37 Study Guide 8-1.1 nie
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38 Skills Practice 8-1.1 , In
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39 Homework Practice 8-1.1 .
40 Problem-Solving Practice 8-1.1
(continued on the next page)
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CHAPTER
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1 Algebra: Integers (continued)
Use with Glencoe South
Academic Math Carolina Math Connects,
Page Lesson Standard(s) Focus Course 3 (pages)
1-9 Solving Addition and Subtraction Equations 65–69
41 Explore Through Reading 8-3.2
42 Study Guide 8-3.2
43 Homework Practice 8-3.2
44 Problem-Solving Practice 8-3.2
1-10 Solving Multiplication and Division Equations 70–73
45 Explore Through Reading 8-3.2
46 Study Guide 8-3.2
47 Homework Practice 8-3.2
48 Problem-Solving Practice 8-3.2
49 Chapter 1 Test
Additional Resource
Math Triumphs, Grade 8 [Book 1]: Chapter 1 (Integers) and Chapter 3 (Expressions and Equations)
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CHAPTER
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2 Algebra: Rational Numbers
Use with Glencoe South
Academic Math Carolina Math Connects,
Page Lesson Standard(s) Focus Course 3 (pages)
51 Chapter 2 Anticipation Guide
52 Chapter 2 Family Activity
2-2 Comparing and Ordering Rational Numbers 91–95
53 Explore Through Reading 8-2.4
54 Study Guide 8-2.4
55 Homework Practice 8-2.4
56 Mini-Project 8-2.4
2-3 Multiplying Positive and Negative Fractions 96–101
57 Explore Through Reading 8-2.2
58 Study Guide 8-2.2
59 Homework Practice 8-2.2
60 Problem-Solving Practice 8-2.2
2-4 Dividing Positive and Negative Fractions 102–107
61 Explore Through Reading 8-2.2
62 Study Guide 8-2.2
63 Homework Practice 8-2.2
64 Problem-Solving Practice 8-2.2
2-7 Solving Equations with Rational Numbers 119–123
65 Explore Through Reading 8-3.2
66 Study Guide 8-3.2
67 Homework Practice 8-3.2
68 Problem-Solving Practice 8-3.2
2-8 Problem-Solving Investigation: Look for a Pattern 124–125
69 Study Guide 8-1.1 C
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70 Skills Practice 8-1.1 y
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71 Homework Practice 8-1.1 ht ©
72 Problem-Solving Practice 8-1.1 G
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2-9 Powers and Exponents 126–129 nc
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73 Explore Through Reading 8-1.6 /M
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74 Study Guide 8-1.6 G
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75 Homework Practice 8-1.6 w
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76 Problem-Solving Practice 8-1.6 ill, a
77 Chapter 2 Test d
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Additional Resource io
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Math Triumphs, Grade 8 [Book 2]: Chapter 5 (Ratios, Rates, and Similarity) of T
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3 Real Numbers and the Pythagorean Theorem
Use with Glencoe South
Academic Math Carolina Math Connects,
Page Lesson Standard(s) Focus Course 3 (pages)
79 Chapter 3 Anticipation Guide
80 Chapter 3 Family Activity
3-2 Estimating Square Roots 148–151
81 Explore Through Reading 8-2.6, 8-2.3
82 Study Guide 8-2.6, 8-2.3
83 Homework Practice 8-2.6, 8-2.3
84 Problem-Solving Practice 8-2.6, 8-2.3
3A Approximating Cube Roots LA12–LA14
85 Study Guide 8-2.6
86 Skills Practice 8-2.6
87 Homework Practice 8-2.6
88 Problem-Solving Practice 8-2.6
3-3 Problem-Solving Investigation: Use a Venn Diagram 152–153
89 Study Guide 8-1.8
90 Skills Practice 8-1.8
91 Homework Practice 8-1.8
92 Problem-Solving Practice 8-1.8
3-4 The Real Number System 155–159
93 Explore Through Reading 8-2.3, 8-2.4
94 Study Guide 8-2.3, 8-2.4
95 Homework Practice 8-2.3, 8-2.4
96 Problem-Solving Practice 8-2.3, 8-2.4
c. 3-5 The Pythagorean Theorem 162–166
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w- 3-6 Using the Pythagorean Theorem 167–171
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visi 3-7 Geometry: Distance on the Coordinate Plane 173–178
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© Math Triumphs, Grade 8 [Book 2]: Chapter 6 (Squares, Square Roots, and the Pythagorean Theorem)
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CHAPTER
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4 Proportions and Similarity
Use with Glencoe South
Academic Math Carolina Math Connects,
Page Lesson Standard(s) Focus Course 3 (pages)
111 Chapter 4 Anticipation Guide
112 Chapter 4 Family Activity
4-1 Ratios and Rates 190–193
113 Explore Through Reading 8-2.7
114 Study Guide 8-2.7
115 Homework Practice 8-2.7
116 Problem-Solving Practice 8-2.7
4-2 Proportional and Nonproportional Relationships 194–197
117 Explore Through Reading 8-2.7
118 Study Guide 8-2.7
119 Homework Practice 8-2.7
120 Problem-Solving Practice 8-2.7
4-3 Rate of Change 198–203
121 Explore Through Reading 8-2.7
122 Study Guide 8-2.7
123 Homework Practice 8-2.7
124 Problem-Solving Practice 8-2.7
4-5 Solving Proportions 210–214
125 Explore Through Reading 8-2.7
126 Study Guide 8-2.7
127 Homework Practice 8-2.7
128 Problem-Solving Practice 8-2.7
4-6 Problem-Solving Investigation: Draw a Diagram 216–217
129 Study Guide 8-1.8 C
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130 Skills Practice 8-1.8 y
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131 Homework Practice 8-1.8 h
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132 Problem-Solving Practice 8-1.8 G
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4-7 Similar Polygons 218–223 n
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133 Explore Through Reading 8-5.1 e
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134 Study Guide 8-5.1 cG
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135 Homework Practice 8-5.1 w
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136 Problem-Solving Practice 8-5.1 ill, a
4-8 Dilations 225–230 d
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137 Explore Through Reading 8-4.3, 8-4.4 isio
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138 Study Guide 8-4.3, 8-4.4 o
139 Homework Practice 8-4.3, 8-4.4 f Th
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140 Problem-Solving Practice 8-4.3, 8-4.4 M
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4-9 Indirect Measurement 232–235 ra
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141 Explore Through Reading 8-5.1 -H
142 Study Guide 8-5.1 ill C
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143 Homework Practice 8-5.1 m
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144 Problem-Solving Practice 8-5.1 nie
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