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

396 Pages·2008·10.06 MB·English
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Preview South Carolina Math Connects: Concepts, Skills, and Problem Solving, Course 3

StudyText c. n s, I e ni a p m o C Hill w- a Gr c M e h T of n o si vi di a Hill, w- a Gr c M e/ o c n e Gl © ht g yri p o C ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd ii 1111//44//0088 11::4488::2277 PPMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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. 1 2 3 4 5 6 7 8 9 10 045 16 15 14 13 12 11 10 09 08 ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd iiii 1100//1144//0088 1100::4477::2288 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 n s, I Carolina Academic Standards in that chapter with questions designed similarly e ani to those you might see on the PASS (Palmetto Assessment of State Standards). p m o C Hill Mastering the PASS w- a This section of StudyText is composed of many sections that can help you study Gr Mc for the Grade 8 PASS (Palmetto Assessment of State Standards). e Th • Tips for Taking the PASS tells you about the types of questions you might of n find on the PASS and how to correctly complete those types of questions. o si vi • The Diagnostic Test can help you determine which Academic Standards you di a might need to review before taking the PASS. Each question lists which Hill, standard it is assessing. w- a Gr • The Practice by Standard gives you more practice problems to help you c M become a better test-taker. The problems are organized by the five standards in e/ o c your math curriculum: Number and Operations, Algebra, Geometry, n e Gl Measurement, and Data Analysis and Probability. © ht • The Practice Test can be used to simulate what a PASS test might be like so g yri that you will be better prepared to take the PASS in the spring. p o C SC StudyText, Course 3 iii ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd iiiiii 1100//1144//0088 1100::4477::2288 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd iivv 1100//1144//0088 1100::4477::2288 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 c. n s, I 10 Algebra: Nonlinear Functions and Polynomials . . . . . . . . . . . . . . . . . . . . . . 271 e ni pa 11 Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 m o C Hill 12 Probability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 w- a Gr Mastering the PASS c M he Tips for Taking the PASS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A1 T of n Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A9 o si vi di Practice by Standard a Hill, Number and Operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A19 w- a Gr Algebra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A21 c M oe/ Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A23 c n e Gl Measurement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A25 © ght Data Analysis and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A27 yri p Co Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A29 SC StudyText, Course 3 v ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd vv 1100//2288//0088 33::2200::0066 PPMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 C o 24 Problem-Solving Practice 8-2.1 p y 1-5 Subtracting Integers 46–49 righ 25 Explore Through Reading 8-2.1 t © G 26 Study Guide 8-2.1 len c 27 Homework Practice 8-2.1 oe /M 28 Problem-Solving Practice 8-2.1 c G 1-6 Multiplying and Dividing Integers 51–56 raw 2390 EStxupdloyr Ge uTihdreough Reading 88--22..11 -Hill, a d iv 31 Homework Practice 8-2.1 is io 32 Problem-Solving Practice 8-2.1 n o 1-7 Writing Equations 57–61 f Th e 33 Explore Through Reading 8-3.2 M c G 34 Study Guide 8-3.2 ra w 35 Homework Practice 8-3.2 -H 36 Problem-Solving Practice 8-3.2 ill C o m 1-8 Problem-Solving Investigation: Work Backward 62–63 p a 37 Study Guide 8-1.1 nie s 38 Skills Practice 8-1.1 , In c 39 Homework Practice 8-1.1 . 40 Problem-Solving Practice 8-1.1 (continued on the next page) vi SC StudyText, Course 3 ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd vvii 1100//1144//0088 1100::4477::2299 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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) c. n s, I e ni a p m o C Hill w- a Gr c M e h T of n o si vi di a Hill, w- a Gr c M e/ o c n e Gl © ht g yri p o C SC StudyText, Course 3 vii ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd vviiii 1100//1144//0088 1100::4477::2299 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 o p 70 Skills Practice 8-1.1 y rig 71 Homework Practice 8-1.1 ht © 72 Problem-Solving Practice 8-1.1 G le 2-9 Powers and Exponents 126–129 nc o e 73 Explore Through Reading 8-1.6 /M c 74 Study Guide 8-1.6 G ra 75 Homework Practice 8-1.6 w -H 76 Problem-Solving Practice 8-1.6 ill, a 77 Chapter 2 Test d iv is Additional Resource io n Math Triumphs, Grade 8 [Book 2]: Chapter 5 (Ratios, Rates, and Similarity) of T h e M c G ra w -H ill C o m p a n ie s , In c . viii SC StudyText, Course 3 ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd vviiiiii 1100//1144//0088 1100::4477::2299 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 n s, I 97 Explore Through Reading 8-4.1 e ni 98 Study Guide 8-4.1 a p m 99 Homework Practice 8-4.1 o C Hill 100 Problem-Solving Practice 8-4.1 w- 3-6 Using the Pythagorean Theorem 167–171 a Gr 101 Explore Through Reading 8-4.1 c M 102 Study Guide 8-4.1 e h T 103 Homework Practice 8-4.1 of n 104 Problem-Solving Practice 8-4.1 o visi 3-7 Geometry: Distance on the Coordinate Plane 173–178 di a 105 Explore Through Reading 8-4.2, 8-4.1 Hill, 106 Study Guide 8-4.2, 8-4.1 w- a 107 Homework Practice 8-4.2, 8-4.1 Gr c 108 Mini-Project 8-4.2, 8-4.1 M e/ 109 Chapter 3 Test o c n Gle Additional Resource © Math Triumphs, Grade 8 [Book 2]: Chapter 6 (Squares, Square Roots, and the Pythagorean Theorem) ht g yri p o C SC StudyText, Course 3 ix ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd iixx 1100//1144//0088 1100::4477::2299 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008 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 o p 130 Skills Practice 8-1.8 y rig 131 Homework Practice 8-1.8 h t © 132 Problem-Solving Practice 8-1.8 G le 4-7 Similar Polygons 218–223 n c o 133 Explore Through Reading 8-5.1 e /M 134 Study Guide 8-5.1 cG ra 135 Homework Practice 8-5.1 w -H 136 Problem-Solving Practice 8-5.1 ill, a 4-8 Dilations 225–230 d iv 137 Explore Through Reading 8-4.3, 8-4.4 isio n 138 Study Guide 8-4.3, 8-4.4 o 139 Homework Practice 8-4.3, 8-4.4 f Th e 140 Problem-Solving Practice 8-4.3, 8-4.4 M c G 4-9 Indirect Measurement 232–235 ra w 141 Explore Through Reading 8-5.1 -H 142 Study Guide 8-5.1 ill C o 143 Homework Practice 8-5.1 m p a 144 Problem-Solving Practice 8-5.1 nie s (continued on the next page) , In c . x SC StudyText, Course 3 ii--xxxxiiii__CC33__FFMM__889900668833..iinndddd xx 1100//1144//0088 1100::4477::3300 AAMM SC StudyText, Course 3 OCT FM Pass PDF 10 CHAPTER 0-07-890683-0 / 978-0-07-890683-1 2008

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