## Mathematics

### Domain - Operations and Algebraic Thinking, Grade 5

Write and interpret numerical expressions.

Math.5.OA.A.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Activity Page
Warm-Up 3 15
Warm-Up 11 23
Warm-Up 14 26
Warm-Up 15 27
Warm-Up 16 28
Warm-Up 18 30
Warm-Up 20 32
Warm-Up 41 53
Warm-Up 42 54
Warm-Up 43 55
Warm-Up 44 56
Warm-Up 45 57
Warm-Up 46 58
Warm-Up 47 59
Warm-Up 50 62
Warm-Up 55 65
Warm-Up 134 104
Warm-Up 133 104
Warm-Up 142 108
Warm-Up 141 108
Warm-Up 144 109
Warm-Up 169 122
Warm-Up 185 130
Warm-Up 186 130
Warm-Up 211 143
Warm-Up 212 143
Warm-Up 213 144
Warm-Up 214 144
Warm-Up 216 145
Warm-Up 215 145
Warm-Up 224 149
Warm-Up 223 149
Warm-Up 227 151
Warm-Up 228 151
Warm-Up 233 154
Warm-Up 234 154
Warm-Up 238 156
Warm-Up 237 156
Warm-Up 241 158
Warm-Up 242 158
Warm-Up 243 159
Warm-Up 244 159

Write and interpret numerical expressions.

Math.5.OA.A.2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Activity Page
Warm-Up 21 33
Warm-Up 22 34
Warm-Up 25 37
Warm-Up 29 41
Warm-Up 30 42
Warm-Up 247 161
Warm-Up 248 161

Analyze patterns and relationships.

Math.5.OA.B.3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Activity Page
Warm-Up 4 16
Warm-Up 9 21
Warm-Up 17 29
Warm-Up 18 30
Warm-Up 19 31
Warm-Up 20 32
Warm-Up 21 33
Warm-Up 22 34
Warm-Up 23 35
Warm-Up 24 36
Warm-Up 25 37
Warm-Up 26 38
Warm-Up 27 39
Warm-Up 28 40
Warm-Up 29 41
Warm-Up 30 42
Warm-Up 59 67
Warm-Up 79 77
Warm-Up 190 132
Warm-Up 216 145
Warm-Up 229 152
Warm-Up 230 152
Warm-Up 236 155
Warm-Up 235 155
Warm-Up 250 162
Warm-Up 249 162

### Domain - Number and Operations in Base Ten, Grade 5

Understand the place value system.

Math.5.NBT.A.1: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Activity Page
Warm-Up 1 13
Warm-Up 2 14
Warm-Up 8 20
Warm-Up 53 64
Warm-Up 54 64
Warm-Up 159 117
Warm-Up 227 151

Understand the place value system.

Math.5.NBT.A.2: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Activity Page
Warm-Up 54 64
Warm-Up 53 64
Warm-Up 64 69
Warm-Up 107 91
Warm-Up 159 117

Understand the place value system.

Math.5.NBT.A.4: Use place value understanding to round decimals to any place.

Activity Page
Warm-Up 67 71
Warm-Up 68 71
Warm-Up 86 80
Warm-Up 85 80
Warm-Up 88 81
Warm-Up 87 81

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Math.5.NBT.B.6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Activity Page
Warm-Up 5 17
Warm-Up 52 63
Warm-Up 54 64
Warm-Up 53 64
Warm-Up 63 69
Warm-Up 80 77
Warm-Up 111 93
Warm-Up 112 93
Warm-Up 139 107
Warm-Up 140 107
Warm-Up 160 117
Warm-Up 208 141

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Math.5.NBT.B.7: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Activity Page
Warm-Up 11 23
Warm-Up 12 24
Warm-Up 13 25
Warm-Up 14 26
Warm-Up 18 30
Warm-Up 56 65
Warm-Up 55 65
Warm-Up 60 67
Warm-Up 59 67
Warm-Up 62 68
Warm-Up 61 68
Warm-Up 65 70
Warm-Up 66 70
Warm-Up 70 72
Warm-Up 69 72
Warm-Up 72 73
Warm-Up 71 73
Warm-Up 80 77
Warm-Up 85 80
Warm-Up 88 81
Warm-Up 87 81
Warm-Up 89 82
Warm-Up 90 82
Warm-Up 124 99
Warm-Up 123 99
Warm-Up 135 105
Warm-Up 136 105
Warm-Up 158 116
Warm-Up 157 116
Warm-Up 198 136
Warm-Up 197 136
Warm-Up 213 144
Warm-Up 214 144
Warm-Up 226 150
Warm-Up 225 150
Warm-Up 231 153

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Math.5.NBT.B.5: Fluently multiply multi-digit whole numbers using the standard algorithm.

Activity Page
Warm-Up 16 28
Warm-Up 44 56
Warm-Up 47 59
Warm-Up 77 76
Warm-Up 78 76
Warm-Up 81 78
Warm-Up 82 78
Warm-Up 83 79
Warm-Up 84 79
Warm-Up 104 89
Warm-Up 103 89
Warm-Up 106 90
Warm-Up 107 91
Warm-Up 108 91
Warm-Up 128 101
Warm-Up 133 104
Warm-Up 134 104
Warm-Up 169 122

### Domain - Number and Operations-Fractions, Grade 5

Use equivalent fractions as a strategy to add and subtract fractions.

Math.5.NF.A.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Activity Page
Warm-Up 58 66
Warm-Up 57 66
Warm-Up 73 74
Warm-Up 74 74
Warm-Up 76 75
Warm-Up 75 75

Use equivalent fractions as a strategy to add and subtract fractions.

Math.5.NF.A.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Activity Page
Warm-Up 57 66
Warm-Up 58 66
Warm-Up 74 74
Warm-Up 73 74
Warm-Up 76 75
Warm-Up 75 75

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Math.5.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Activity Page
Warm-Up 47 59
Warm-Up 48 60
Warm-Up 74 74
Warm-Up 73 74
Warm-Up 112 93
Warm-Up 127 101
Warm-Up 138 106
Warm-Up 137 106

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Math.5.NF.B.3: Interpret a fraction as division of the numerator by the denominator (a/b = a : b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Activity Page
Warm-Up 58 66
Warm-Up 57 66
Warm-Up 111 93
Warm-Up 112 93
Warm-Up 137 106
Warm-Up 138 106
Warm-Up 139 107
Warm-Up 140 107
Warm-Up 144 109
Warm-Up 143 109
Warm-Up 158 116
Warm-Up 157 116
Warm-Up 166 120
Warm-Up 165 120
Warm-Up 168 121
Warm-Up 167 121
Warm-Up 188 131
Warm-Up 187 131
Warm-Up 191 133
Warm-Up 192 133
Warm-Up 193 134
Warm-Up 194 134
Warm-Up 200 137
Warm-Up 199 137
Warm-Up 202 138
Warm-Up 201 138
Warm-Up 204 139
Warm-Up 205 140

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Math.5.NF.B.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Activity Page
Warm-Up 58 66
Warm-Up 57 66
Warm-Up 157 116
Warm-Up 158 116

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Math.5.NF.B.5: Interpret multiplication as scaling (resizing), by:

Activity Page
Warm-Up 65 70
Warm-Up 66 70
Warm-Up 71 73
Warm-Up 72 73
Warm-Up 75 75
Warm-Up 90 82
Warm-Up 89 82
Warm-Up 151 113
Warm-Up 152 113

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Math.5.NF.B.6: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Activity Page
Warm-Up 76 75
Warm-Up 75 75
Warm-Up 80 77
Warm-Up 90 82
Warm-Up 89 82
Warm-Up 138 106
Warm-Up 137 106
Warm-Up 139 107
Warm-Up 140 107
Warm-Up 141 108
Warm-Up 152 113
Warm-Up 151 113
Warm-Up 157 116
Warm-Up 158 116

### Domain - Measurement and Data, Grade 5

Convert like measurement units within a given measurement system.

Math.5.MD.A.1: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Activity Page
Warm-Up 132 103
Warm-Up 131 103
Warm-Up 142 108
Warm-Up 143 109
Warm-Up 146 110
Warm-Up 145 110
Warm-Up 148 111
Warm-Up 147 111
Warm-Up 150 112
Warm-Up 149 112
Warm-Up 153 114
Warm-Up 154 114
Warm-Up 155 115
Warm-Up 156 115
Warm-Up 170 122

Represent and interpret data.

Math.5.MD.B.2: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Activity Page
Warm-Up 183 129
Warm-Up 184 129

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Math.5.MD.C.3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

Activity Page
Warm-Up 49 61
Warm-Up 109 92
Warm-Up 110 92
Warm-Up 126 100
Warm-Up 125 100

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Math.5.MD.C.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Activity Page
Warm-Up 49 61
Warm-Up 109 92
Warm-Up 110 92
Warm-Up 112 93
Warm-Up 111 93

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Math.5.MD.C.4: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

Activity Page
Warm-Up 112 93
Warm-Up 111 93

### Domain - Geometry, Grade 5

Graph points on the coordinate plane to solve real-world and mathematical problems.

Math.5.G.A.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Activity Page
Warm-Up 114 94
Warm-Up 113 94
Warm-Up 129 102
Warm-Up 130 102
Warm-Up 179 127
Warm-Up 180 127

Graph points on the coordinate plane to solve real-world and mathematical problems.

Math.5.G.A.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Activity Page
Warm-Up 129 102
Warm-Up 130 102
Warm-Up 180 127
Warm-Up 179 127

Classify two-dimensional figures into categories based on their properties.

Math.5.G.B.4: Classify two-dimensional figures in a hierarchy based on properties.

Activity Page
Warm-Up 92 83
Warm-Up 91 83
Warm-Up 94 84
Warm-Up 93 84
Warm-Up 95 85
Warm-Up 96 85
Warm-Up 97 86
Warm-Up 98 86
Warm-Up 99 87
Warm-Up 100 87
Warm-Up 102 88
Warm-Up 101 88
Warm-Up 106 90
Warm-Up 108 91
Warm-Up 107 91
Warm-Up 117 96
Warm-Up 118 96
Warm-Up 119 97
Warm-Up 120 97

Classify two-dimensional figures into categories based on their properties.

Math.5.G.B.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

Activity Page
Warm-Up 92 83
Warm-Up 91 83
Warm-Up 93 84
Warm-Up 94 84
Warm-Up 95 85
Warm-Up 96 85
Warm-Up 98 86
Warm-Up 97 86
Warm-Up 100 87
Warm-Up 99 87
Warm-Up 122 98
Warm-Up 121 98

Common Core State Standards and Expectations© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

• ## Monthly Spotlight

© 2024 Teacher Created Resources. All Rights Reserved.