Course 2 MATHEMATICS - Pearson...
Transcript of Course 2 MATHEMATICS - Pearson...
Taken from:
Prentice Hall Mathematics, Course 2, Global Edition by Randall I. Charles, Mark Illingworth, Bonnie McNemar, Darwin Mills, Alma Ramirez, and Andy Reeves
Prentice Hall Mathematics, Common Core, Course 2, Student Edition
Charles
Illingworth
McNemar
Mills
Ramirez
Reeves
Common Core
Course 2
MATHEMATICS
Pre
ntic
e H
all
2013Edition
000200010271649888_TP.indd 1 8/9/12 2:58 PM
Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2
1-1 Comparing and Ordering Integers 7.NS.1.b . . . . . . . . . . . . . . . . . . . . . .4
1-2a Activity Lab Hands On: Modeling Integer Addition and Subtraction 7.NS.1.a, 7.NS.1.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8
1-2 Adding and Subtracting Integers 7.NS.1.a, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
1-3a Activity Lab Hands On: Modeling Integer Multiplication 7.NS.2, 7.NS.2.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15
1-3 Multiplying and Dividing Integers 7.NS.2, 7.NS.2.a, 7.NS.2.b . . . . . . . . .16• Vocabulary Builder: Learning New Math Terms, 20
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20
1-4 Fractions and Decimals 7.NS.2.d, 7.EE.3 . . . . . . . . . . . . . . . . . . . . . . . . .21
1-5 Rational Numbers 7.NS.2.b, 7.NS.2.d . . . . . . . . . . . . . . . . . . . . . . . . . . . .26
1-6a Activity Lab Hands On: Modeling Addition and Subtraction of Rational Numbers 7.NS.1 . . . . . . . . . . . . . . . . . .30
1-6 Adding and Subtracting Rational Numbers 7.NS.1, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d, 7.NS.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .32
1-6b Activity Lab Data Analysis: Using Tables to Compare Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36
1-7 Multiplying Rational Numbers 7.NS.2, 7.NS.2.a, 7.NS.2.c, 7.NS.3 . . . . . . .37
1-8 Dividing Rational Numbers 7.NS.2, 7.NS.2.b, 7.NS.2.c, 7.NS.3 . . . . . . . . . .42• Guided Problem Solving: Choosing Operations, 47
Assessment and Test Prep
• Test-Taking Strategies: Writing Gridded Responses, 49• Chapter Review, 50• Chapter Test, 52• Test Prep: Reading Comprehension, 53
Integers and Rational Numbers
CHAPTER
1
x Contents
In this chapter, you will apply and
extend previous understandings of
operations with fractions to add,
subtract, multiply, and divide rational
numbers. You will also solve multistep
real-world and mathematical
problems with positive and negative
rational numbers.
The Number System7.NS.17.NS.1.a7.NS.1.b7.NS.1.c7.NS.1.d7.NS.27.NS.2.a7.NS.2.b7.NS.2.c7.NS.2.d7.NS.3
Expressions & Equations7.EE.3
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54
2-1a Activity Lab Describing Patterns 7.EE.4 . . . . . . . . . . . . . . . . . . .56
2-1 Evaluating and Writing Algebraic Expressions 7.EE.4 . . . . . . . . . . . . .57
2-1b Activity Lab Technology: Using Spreadsheets 7.EE.4 . . . . . . . .61
2-2 Simplifying Expressions 7.EE.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .62
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .66
2-3a Activity Lab Hands On: Modeling Equations 7.EE.4 . . . . . . . . .67
2-3 Solving One-Step Equations 7.EE.4 . . . . . . . . . . . . . . . . . . . . . . . . . . .68
2-3b Activity Lab Algebra Thinking: Keeping the Balance . . . . . . .73
2-4 Exploring Two-Step Equations 7.EE.4.a . . . . . . . . . . . . . . . . . . . . . . . .74
2-5a Activity Lab Hands On: Modeling Two-Step Equations 7.EE.4.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .79
2-5 Solving Two-Step Equations (7.EE.3, 7.EE.4.a) . . . . . . . . . . . . . . . . . .80
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .85• Guided Problem Solving: Practice Solving Problems, 86• Vocabulary Builder: High-Use Academic Words, 88
2-6 Solving Equations Involving the Distributive Property 7.EE.3, 7.EE.4.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .89
Assessment and Test Prep
• Test-Taking Strategies: Writing Short Responses, 93• Chapter Review, 94• Chapter Test, 96• Test Prep: Cumulative Review, 97
EquationsCHAPTER
2
In this chapter, you will apply
properties of operations as strategies
to add, subtract, factor, and expand
linear expressions with rational
coeffi cients. You will also use variables
to represent quantities and construct
simple equations to solve problems.
Expressions & Equations7.EE.17.EE.37.EE.47.EE.4.a
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .98
3-1 Graphing and Writing Inequalities 7.EE.4.b . . . . . . . . . . . . . . . . . . . .100
3-2 Solving Inequalities by Adding or Subtracting 7.EE.4.b . . . . . . . . . .104
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .108
3-2b Activity Lab Data Analysis: Inequalities in Bar Graphs . . . . .108
3-3 Solving Inequalities by Multiplying or Dividing 7.EE.4.b . . . . . . . . .109• Guided Problem Solving: Writing Inequalities, 114
3-4 Solving Two-Step Inequalities 7.EE.4.b . . . . . . . . . . . . . . . . . . . . . . . .116
Assessment and Test Prep
• Test-Taking Strategies: Reading for Understanding, 121• Chapter Review, 122• Chapter Test, 124• Test Prep: Cumulative Review, 125
InequalitiesCHAPTER
3
xii Contents
In this chapter, you will extend
your understanding of the inverse
relationship of operations to solve
inequalities. You will use variables to
write expressions and solve real-
world and mathematical problems
by graphing, writing, and solving
inequalities. You will also develop
a more complete understanding of
variables and expressions as you
begin to see patterns in the structure
of inequalities.
Expressions & Equations7.EE.4.b
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126
4-1 Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .128
4-2 Unit Rates and Proportional Reasoning 7.RP.1 . . . . . . . . . . . . . . . . .132
4-2b Activity Lab Algebra Thinking: Using Conversion Factors 7.RP.1 . . . . . . . . . . . . . . . . . . . . . . . . . . .136
4-3 Proportions 7.RP.2, 7.RP.2.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .137
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141
4-4a Activity Lab Data Collection: Using Proportions with Data 7.RP.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .142
4-4 Solving Proportions 7.RP.1, 7.RP.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . .143• Guided Problem Solving: Proportions and Equations, 148
4-5a Activity Lab Hands On: Exploring Similar Figures 7.G.1 . . . . .150
4-5 Similar Figures 7.RP.1, 7.RP.2, 7.G.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .151
4-5b Activity Lab Technology: Drawing Similar Figures 7.RP.2 . . .155
4-6a Activity Lab Hands On: Scale Drawings and Models 7.G.1 . .156
4-6 Maps and Scale Drawings 7.G.1, 7.RP.1 . . . . . . . . . . . . . . . . . . . . . . . .157
4-6b Activity Lab: Plan a Trip 7.G.1 . . . . . . . . . . . . . . . . . . . . . . . . .162
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .163• Vocabulary Builder: Learning Vocabulary, 163
4-7a Activity Lab Graphs and Proportional Relationships 7.RP.2.a, 7.RP.2.d . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .164
4-7 Proportional Relationships 7.RP.2.a, 7.RP.2.b, 7.RP.2.c, 7.RP.2.d . . . . . . .165
Assessment and Test Prep
• Test-Taking Strategies: Using a Variable, 169• Chapter Review, 170• Chapter Test, 172• Test Prep: Reading Comprehension, 173
Ratios, Rates, and Proportions
CHAPTER
4
In this chapter, you will compute
unit rates associated with ratios of
fractions. You will also recognize and
represent proportional relationships
between quantities and solve
problems involving scale drawings of
geometric fi gures.
Ratios & Proportional Relationships
7.RP.17.RP.27.RP.2.a7.RP.2.b7.RP.2.c7.RP.2.d
Geometry7.G.1
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .174
5-1 Percents, Fractions, and Decimals 7.EE.3 . . . . . . . . . . . . . . . . . . . . . .176
5-2 Solving Percent Problems Using Proportions 7.RP.3 . . . . . . . . . . . . .181
5-3 Solving Percent Problems Using Equations 7.RP.3 . . . . . . . . . . . . . . .185
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .189• Guided Problem Solving: Solving Percent Problems, 190
5-4 Applications of Percents 7.RP.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .192
5-4b Activity Lab Algebra Thinking: Percent Equations 7.RP.3 . . .197
5-5 Simple Interest 7.RP.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .198
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201
5-6a Activity Lab Data Analysis: Exploring Percent of Change 7.RP.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201
5-6 Finding Percent of Change 7.RP.3, 7.EE.2 . . . . . . . . . . . . . . . . . . . . . . .202
Assessment and Test Prep
• Test-Taking Strategies: Working Backward, 207• Chapter Review, 208• Chapter Test, 210• Test Prep: Cumulative Review, 211
PercentsCHAPTER
5
xiv Contents
In this chapter, you will convert
between forms of rational numbers
and use proportional relationships
to solve multistep ratio and percent
problems (e.g., simple interest, tax,
markups and markdowns, gratuities
and commissions, fees, percent
increase and decrease, percent error).
Ratios & Proportional Relationships
7.RP.3
Expressions & Equations7.EE.27.EE.3
Contents
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .212
6-1a Activity Lab Hands On: Drawing Geometric Figures 7.G.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .214
6-1 Angle Measures 7.G.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .215
6-1b Activity Lab Hands On: Drawing Triangles 7.G.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .220
6-2a Activity Lab Hands On: Generating Formulas for Area 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .222
6-2 Area of a Parallelogram 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .223
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .227
6-3 Area of a Triangle 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .228
6-4 Areas of Other Figures 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .232
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .237
6-5a Activity Lab Hands On: Modeling a Circle 7.G.4 . . . . . . . . . . .237
6-5 Circumference and Area of a Circle 7.G.4 . . . . . . . . . . . . . . . . . . . . . .238• Guided Problem Solving: Areas of Irregular Figures, 243
Assessment and Test Prep
• Test-Taking Strategies: Measuring to Solve, 245• Chapter Review, 246• Chapter Test, 248• Test Prep: Cumulative Review, 249
Geometry and AreaCHAPTER
6
In this chapter, you will draw,
construct, and describe geometrical
fi gures and describe the relationships
between them. You will also solve
real-life and mathematical problems
involving angle measure and area.
Geometry7.G.27.G.47.G.57.G.6
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .250
7-1 Three-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .252
7-2 Surface Areas of Prisms and Cylinders 7.G.6 . . . . . . . . . . . . . . . . . . .256
7-2b Activity Lab Algebra Thinking: Patterns in 3-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .261
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .262
7-3 Volumes of Prisms and Cylinders 7.G.6 . . . . . . . . . . . . . . . . . . . . . . .263
7-3b Activity Lab Hands On: Generating Formulas for Volume 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .268
• Guided Problem Solving: Practice Solving Problems, 269
7-4 Cross Sections 7.G.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .271
Assessment and Test Prep
• Test-Taking Strategies: Drawing a Picture, 275• Chapter Review, 276• Chapter Test, 278• Test Prep: Cumulative Review, 279
Surface Area and VolumeCHAPTER
7
xvi Contents
In this chapter, you will solve real-
world and mathematical problems
involving volume and surface area of
three-dimensional objects. You will
also describe the two-dimensional
fi gures that result from slicing three-
dimensional fi gures.
Geometry7.G.37.G.6
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .280
8-1 Random Samples and Surveys 7.SP.1 . . . . . . . . . . . . . . . . . . . . . . . . .282
8-2 Estimating Population Size 7.SP.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . .286
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .289• Guided Problem Solving: Describing Data, 290
8-3 Inferences 7.SP.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .292• Vocabulary Builder: High-Use Academic Words, 296
8-4 Data Variability 7.SP.3, 7.SP.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .297
Assessment and Test Prep
• Test-Taking Strategies: Interpreting Data, 301• Chapter Review, 302• Chapter Test, 304• Test Prep: Reading Comprehension, 305
Analyzing DataCHAPTER
8
In this chapter, you will use random
sampling to draw inferences about
a population. You will also draw
informal comparative inferences
about two populations and
understand the effect sampling has
on data collection.
Statistics & Probability7.SP.17.SP.27.SP.37.SP.4
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Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .306
9-1 Probability 7.SP.5, 7.SP.7.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .308
9-2a Activity Lab Hands On: Exploring Probability 7.SP.7, 7.SP.7.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .312
9-2 Experimental Probability 7.SP.6, 7.SP.7, 7.SP.7.b . . . . . . . . . . . . . . . . . .313
9-2b Activity Lab Technology: Random Numbers 7.SP.7, 7.SP.7.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .317
Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .318
9-3 Sample Spaces 7.SP.8, 7.SP.8.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .319
9-3b Activity Lab Data Analysis: Using Data to Predict 7.SP.8, 7.SP.8.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .324
9-4a Activity Lab: Exploring Multiple Events 7.SP.8, 7.SP.8.a, 7.SP.8.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .325
9-4 Compound Events 7.SP.8, 7.SP.8.a, 7.SP.8.b . . . . . . . . . . . . . . . . . . . . . .326
Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .331• Vocabulary Builder: High-Use Academic Words, 332• Guided Problem Solving: Practice With Probability, 333
9-5 Simulating Compound Events 7.SP.8.c . . . . . . . . . . . . . . . . . . . . . . . .335
Assessment and Test Prep
• Test-Taking Strategies: Eliminating Answers, 339• Chapter Review, 340• Chapter Test, 342• Test Prep: Cumulative Review, 343
ProbabilityCHAPTER
9
xviii Contents
In this chapter, you will investigate
chance processes and develop, use,
and evaluate probability models.
You will also compare theoretical
probabilities of simple and compound
events to observed frequencies.
Statistics & Probability7.SP.57.SP.67.SP.77.SP.7.a7.SP.7.b7.SP.87.SP.8.a7.SP.8.b7.SP.8.c
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