Download Grade 5

Grade 5
Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . xiii
Using the Teacher Edition . . . . . . . . . . . . . . . . . xiv
Preparing a Lesson . . . . . . . . . . . . . . . . . . . . . xvi
Scope and Sequence . . . . . . . . . . . . . . . . . . . xviii
Chapter One Place Value of Whole Numbers and Decimals
Lesson
1
2
3
4
5
6
Page
Place Value to Hundred Thousands . . . . . . . . . . . 8
Place Value to Hundred Billions . . . . . . . . . . . . . 10
Comparing and Ordering Whole Numbers . . . . . 12
Rounding Whole Numbers . . . . . . . . . . . . . . . . 14
Using a Problem-Solving Guide . . . . . . . . . . . . . 16
Decimal Place Value: Tenths and Hundredths . . . 18
Lesson
7
8
9
10
11
Page
Decimal Place Value: Thousandths . . . . . . . . . . 20
Comparing and Ordering Decimals . . . . . . . . . . 22
Rounding Decimals . . . . . . . . . . . . . . . . . . . . . 24
Problem Solving: Decimals . . . . . . . . . . . . . . . . 26
Chapter One Check-Up . . . . . . . . . . . . . . . . . . . 28
Chapter Two Addition and Subtraction of Whole Numbers and Decimals
Lesson
12
13
14
15
16
17
18
Page
Estimating Whole-Number Sums. . . . . . . . . . . . 38
Estimating Whole-Number Differences . . . . . . . . 40
Adding and Subtracting Larger Numbers . . . . . . 42
Problem Solving: Addition and Subtraction. . . . . 44
Estimating Decimal Sums . . . . . . . . . . . . . . . . . 46
Adding Tenths and Hundredths . . . . . . . . . . . . . 48
Properties of Addition. . . . . . . . . . . . . . . . . . . . 50
Lesson
19
20
21
22
23
24
25
Page
Problem Solving: Decimals . . . . . . . . . . . . . . . . 52
Estimating Decimal Differences . . . . . . . . . . . . . 54
Making Equivalent Decimals . . . . . . . . . . . . . . . 56
Subtracting Tenths and Hundredths . . . . . . . . . . 58
Problem Solving: Two-Step Problems . . . . . . . . 60
Adding and Subtracting Thousandths. . . . . . . . . 62
Chapter Two Check-Up . . . . . . . . . . . . . . . . . . . 64
Chapter Three Multiplication of Whole Numbers
Lesson
26
27
28
29
30
31
32
33
Page
Uses and Properties of Multiplication. . . . . . . . . 74
Mental Math: Multiples of 10, 100, 1,000 . . . . . 76
Multiples and Least Common Multiple . . . . . . . . 78
Factors and Greatest Common Factor . . . . . . . . 80
Multiplying by a One-Digit Factor. . . . . . . . . . . . 82
Multiplying Larger Numbers . . . . . . . . . . . . . . . 84
Estimating Products . . . . . . . . . . . . . . . . . . . . . 86
Multiplying by a Two-Digit Factor. . . . . . . . . . . . 88
Lesson
34
35
36
37
38
39
40
Page
Problem Solving with Two-Digit Factors . . . . . . 90
Multiplying by a Three-Digit Factor . . . . . . . . . . 92
More Practice with Three-Digit Factors . . . . . . . 94
Calculators for Multistep Problems . . . . . . . . . . 96
Exploring Exponents . . . . . . . . . . . . . . . . . . . . . 98
Lattice Multiplication . . . . . . . . . . . . . . . . . . . 100
Chapter Three Check-Up. . . . . . . . . . . . . . . . . 102
Chapter Four Division of Whole Numbers
Lesson
41
42
43
44
45
46
47
48
49
50
Page
Exploring Divisibility . . . . . . . . . . . . . . . . . . . . 112
Rules of Division . . . . . . . . . . . . . . . . . . . . . . 114
Quotients and Remainders . . . . . . . . . . . . . . . 116
Estimating Quotients. . . . . . . . . . . . . . . . . . . . 118
Dividing Two- and Three-Digit Numbers . . . . . . 120
Finding Averages . . . . . . . . . . . . . . . . . . . . . . 122
Dividing with Zero in the Quotient . . . . . . . . . . 124
Dividing Larger Numbers . . . . . . . . . . . . . . . . 126
Problem Solving with One-Digit Divisors . . . . . 128
Division Patterns . . . . . . . . . . . . . . . . . . . . . . 130
© Copyright 2001
Lesson
51
52
53
54
55
56
57
58
59
60
Page
Estimating Quotients with 2-Digit Divisors . . . . 132
One-Digit Quotients . . . . . . . . . . . . . . . . . . . . 134
Two-Digit Quotients . . . . . . . . . . . . . . . . . . . . 136
Adjusting the Estimated Quotient . . . . . . . . . . . 138
More One- and Two-Digit Quotients . . . . . . . . . 140
Three-Digit Quotients . . . . . . . . . . . . . . . . . . . 142
Zeros in the Quotient . . . . . . . . . . . . . . . . . . . 144
Review: Dividing Larger Numbers . . . . . . . . . . 146
Problem Solving: Using Statistics . . . . . . . . . . 148
Chapter Four Check-Up . . . . . . . . . . . . . . . . . 150
v
Chapter Five Multiplication and Division of Decimals
Lesson
61
62
63
64
65
Page
Estimating Decimal Products. . . . . . . . . . . . . . 160
Multiplying a Decimal by a Whole Number . . . . 162
Multiplying Decimals . . . . . . . . . . . . . . . . . . . 164
Multiplying with Zero in the Product . . . . . . . . . 166
Problem Solving: Multiplication of Decimals . . . 168
Lesson
66
67
68
69
70
Page
Dividing Decimals by Whole Numbers . . . . . . . 170
Dividing Decimals Using Zeros . . . . . . . . . . . . 172
Dividing Decimals by 10, 100, and 1,000 . . . . 174
Problem Solving: Division of Decimals . . . . . . . 176
Chapter Five Check-Up . . . . . . . . . . . . . . . . . . 178
Chapter Six Geometric Properties
Lesson
71
72
73
74
75
76
77
78
Page
Line Relationships . . . . . . . . . . . . . . . . . . . . . 190
Naming Rays and Angles . . . . . . . . . . . . . . . . 192
Pentominoes . . . . . . . . . . . . . . . . . . . . . . . . . 194
Using a Protractor . . . . . . . . . . . . . . . . . . . . . 196
Classifying Triangles. . . . . . . . . . . . . . . . . . . . 198
Problem Solving: Rays, Angles, and Triangles . 200
Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202
Quadrilaterals. . . . . . . . . . . . . . . . . . . . . . . . . 204
Lesson
79
80
81
82
83
84
85
Page
Solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206
Problem Solving: Polygons and Solids . . . . . . 208
Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210
Line Symmetry . . . . . . . . . . . . . . . . . . . . . . . 212
Motion in Geometry . . . . . . . . . . . . . . . . . . . . 214
Congruence and Similarity . . . . . . . . . . . . . . . 216
Chapter Six Check-Up . . . . . . . . . . . . . . . . . . 218
Chapter Seven Number Theory and Fractions
Lesson
86
87
88
89
90
91
Page
Reviewing the Meaning of Fractions. . . . . . . . . 228
Equivalent Fractions . . . . . . . . . . . . . . . . . . . . 230
Fractions and Decimals . . . . . . . . . . . . . . . . . 232
Prime and Composite Numbers. . . . . . . . . . . . 234
Greatest Common Factor . . . . . . . . . . . . . . . . 236
Fractions in Simplest Form . . . . . . . . . . . . . . . 238
Lesson
92
93
94
95
96
Page
Least Common Multiples . . . . . . . . . . . . . . . . 240
Comparing and Ordering Fractions . . . . . . . . . 242
Improper Fractions and Mixed Numbers. . . . . . 244
Problem Solving: Fractions . . . . . . . . . . . . . . . 246
Chapter Seven Check-Up . . . . . . . . . . . . . . . . 248
Chapter Eight Addition and Subtraction of Fractions
Lesson
97
98
99
100
101
102
103
Page
Add and Subtract Like Fractions . . . . . . . . . . . 258
Add and Subtract Mixed Numbers . . . . . . . . . . 260
Rename Sums of Mixed Numbers . . . . . . . . . . 262
Subtract from Whole Numbers . . . . . . . . . . . . 264
Rename and Subtract Mixed Numbers . . . . . . . 266
Estimate Sums and Differences. . . . . . . . . . . . 268
Least Common Denominators . . . . . . . . . . . . . 270
Lesson
104
105
106
107
108
109
110
Page
Related Denominators . . . . . . . . . . . . . . . . . . 272
Add with Unlike Denominators . . . . . . . . . . . . 274
Subtract with Unlike Denominators . . . . . . . . . 276
Add Mixed Numbers. . . . . . . . . . . . . . . . . . . . 278
Subtract Mixed Numbers . . . . . . . . . . . . . . . . 280
Problem Solving: Using a Map . . . . . . . . . . . . 282
Chapter Eight Check-Up . . . . . . . . . . . . . . . . . 284
Chapter Nine Multiplication and Division of Fractions
Lesson
111
112
113
114
115
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Page
Multiply Fractions Using Models . . . . . . . . . . . 294
Multiply Fractions. . . . . . . . . . . . . . . . . . . . . . 296
Multiply Fractions and Whole Numbers . . . . . . 298
Multiply Mixed Numbers . . . . . . . . . . . . . . . . . 300
Problem Solving: Multiply Fractions . . . . . . . . . 302
Lesson
116
117
118
119
120
Page
Estimate Products . . . . . . . . . . . . . . . . . . . . . 304
Divide Fractions Using Models . . . . . . . . . . . . 306
Divide by Fractions. . . . . . . . . . . . . . . . . . . . . 308
Problem Solving: Find a Pattern. . . . . . . . . . . . 310
Chapter Nine Check-Up . . . . . . . . . . . . . . . . . 312
Mathematics Grade 5
Chapter Ten Ratios, Proportion, and Percent
Lesson
121
122
123
124
125
126
127
Page
Exploring Ratios . . . . . . . . . . . . . . . . . . . . . . . 322
Finding Equal Ratios. . . . . . . . . . . . . . . . . . . . 324
Exploring Proportions . . . . . . . . . . . . . . . . . . . 326
Solving Proportions . . . . . . . . . . . . . . . . . . . . 328
Problem Solving: Scale Drawings . . . . . . . . . . 330
Exploring Percent . . . . . . . . . . . . . . . . . . . . . . 332
Ratio and Percent. . . . . . . . . . . . . . . . . . . . . . 334
Lesson
128
129
130
131
132
133
Page
Fractions and Percent . . . . . . . . . . . . . . . . . . . 336
Decimals and Percent. . . . . . . . . . . . . . . . . . . 338
Using Mental Math to Estimate Percent . . . . . . 340
Finding Percent . . . . . . . . . . . . . . . . . . . . . . . 342
Problem Solving: Percent . . . . . . . . . . . . . . . . 344
Chapter Ten Check-Up . . . . . . . . . . . . . . . . . . 346
Chapter Eleven Measurement
Lesson
134
135
136
137
138
Page
Customary Units of Length . . . . . . . . . . . . . . . 356
Customary Units of Capacity. . . . . . . . . . . . . . 358
Customary Units of Weight . . . . . . . . . . . . . . . 360
Computing with Time . . . . . . . . . . . . . . . . . . . 362
Fahrenheit and Celsius Temperatures . . . . . . . . 364
Lesson
139
140
141
142
143
Page
Metric Units of Length . . . . . . . . . . . . . . . . . . 366
Metric Units of Capacity . . . . . . . . . . . . . . . . . 368
Metric Units of Mass . . . . . . . . . . . . . . . . . . . 370
Problem Solving: Using a Time-Zone Map . . . . 372
Chapter Eleven Check-Up . . . . . . . . . . . . . . . . 374
Chapter Twelve Area, Perimeter, and Volume
Lesson
144
145
146
147
148
149
Page
Area of Rectangles . . . . . . . . . . . . . . . . . . . . . 384
Perimeter. . . . . . . . . . . . . . . . . . . . . . . . . . . . 386
Circumference . . . . . . . . . . . . . . . . . . . . . . . . 388
Coordinate Geometry . . . . . . . . . . . . . . . . . . . 390
Area of Right Triangles . . . . . . . . . . . . . . . . . . 392
Area of Triangles . . . . . . . . . . . . . . . . . . . . . . 394
Lesson
150
151
152
153
154
155
Page
Area of Irregular Figures . . . . . . . . . . . . . . . . . 396
Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . 398
Understanding Volume . . . . . . . . . . . . . . . . . . 400
Finding Volume . . . . . . . . . . . . . . . . . . . . . . . 402
Problem Solving: Using a Formula . . . . . . . . . . 404
Chapter Twelve Check-Up . . . . . . . . . . . . . . . . 406
Chapter Thirteen Statistics, Graphing, and Probability
Lesson
156
157
158
159
160
161
162
Page
Collecting and Organizing Data . . . . . . . . . . . . 414
Reading and Making Bar Graphs . . . . . . . . . . . 416
Reading and Making Histograms . . . . . . . . . . . 418
Reading and Making Pictographs . . . . . . . . . . 420
Reading and Making Line Graphs . . . . . . . . . . 422
Circle Graphs. . . . . . . . . . . . . . . . . . . . . . . . . 424
Problem Solving: Interpreting Graphs . . . . . . . . 426
Lesson
163
164
165
166
167
168
Page
Statistics and Line Plots . . . . . . . . . . . . . . . . 428
Range, Mean, Median, and Mode . . . . . . . . . . 430
Review of Statistics and Graphing . . . . . . . . . . 432
Probability of Outcomes . . . . . . . . . . . . . . . . . 434
More About Probability . . . . . . . . . . . . . . . . . . 436
Chapter Thirteen Check-Up . . . . . . . . . . . . . . . 438
Chapter Fourteen Rational Numbers and Review
Review
Lesson
169
170
171
172
Page
Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 448
Comparing and Ordering Integers . . . . . . . . . . 450
Application of Integers . . . . . . . . . . . . . . . . . . 452
Cumulative Review: Chapters 1 and 2 . . . . . . . 454
Teacher Resources
Lesson
173
174
175
176
Page
Cumulative Review: Chapters 3 and 4 . . . . . . . 456
Cumulative Review: Chapters 5 and 6 . . . . . . . 458
Cumulative Review: Chapters 7–9 . . . . . . . . . . 460
Cumulative Review: Chapters 10–12 . . . . . . . . 462
Additional Resources
Page
Page
Table of Measures . . . . . . . . . . . . . . . Student Pages 380
Glossary . . . . . . . . . . . . . . . . . . . . . . Student Pages 381
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 464
Parent Letters. . . . . . . . . . . . . . . . . . . . . . . . . . Volume II
Blackline Masters . . . . . . . . . . . . . . . . . . . . . . . Volume II
Color Transparencies . . . . . . . . . . . . . . . . . . . . Volume II
© Copyright 2001
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