## Common Core State Standards (CCSS) Correlations ## Mathematics

### Domain - Operations and Algebraic Thinking, Grade 1

Represent and solve problems involving addition and subtraction.

Math.1.OA.A.1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Activity Page
Number Riddles - Practice 1 7
2s, 5s, and 10s - Practice 3 23
Addition 0 – 20 - Practice 3 67
Addition Word Problems - Practice 1 72
Addition Word Problems - Practice 2 73
Subtraction Word Problems - Practice 1 85
Subtraction Word Problems - Practice 2 86

Represent and solve problems involving addition and subtraction.

Math.1.OA.A.2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Activity Page
Looking at Data - Practice 3 47
Adding Three Numbers (0 – 20) - Practice 1 59
Adding Three Numbers (0 – 20) - Practice 2 60
Adding Four Numbers (0 – 20) - Practice 1 61
Adding Four Numbers (0 – 20) - Practice 2 62
Addition Word Problems - Practice 2 73

Understand and apply properties of operations and the relationship between addition and subtraction.

Math.1.OA.B.4: Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.

Activity Page
Subtraction 0 – 10 - Practice 1 74
Subtraction 0 – 10 - Practice 2 75
Subtraction 0 – 12 - Practice 1 76
Subtraction 0 – 12 - Practice 2 77
Subtraction 0 – 12 - Practice 3 78
Subtraction 0 – 15 - Practice 1 79
Subtraction 0 – 15 - Practice 2 80
Subtraction 0 – 15 - Practice 3 81
Subtraction 0 – 20 - Practice 1 82
Subtraction 0 – 20 - Practice 2 83
Subtraction 0 – 20 - Practice 3 84
Subtraction Word Problems - Practice 1 85
Subtraction Word Problems - Practice 2 86
Inverse Operations - Practice 1 89
Inverse Operations - Practice 2 90
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

Understand and apply properties of operations and the relationship between addition and subtraction.

Math.1.OA.B.3: Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

Activity Page
Inverse Operations - Practice 1 89
Inverse Operations - Practice 2 90
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

Math.1.OA.C.5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

Activity Page
Counting 2s - Practice 1 13
Counting 2s - Practice 2 14
Counting 5s - Practice 1 15
Counting 5s - Practice 2 16
Counting 5s - Practice 3 17
Counting 10s - Practice 1 18
Counting 10s - Practice 2 19
Counting 10s - Practice 3 20
Counting 2s, 5s, and 10s - Practice 1 21
Counting 2s, 5s, and 10s - Practice 2 22
2s, 5s, and 10s - Practice 3 23
Tens and Ones - Practice 1 24
Tens and Ones - Practice 2 25
Tens and Ones - Practice 3 26
Numbers to 100 - Practice 2 28
Estimating - Practice 2 88
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

Math.1.OA.C.6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

Activity Page
Adding Sets 0 – 12 - Practice 1 52
Adding Sets 0 – 12 - Practice 2 53
Addition 0 – 12 - Practice 1 54
Addition 0 – 12 - Practice 2 55
Addition 0 – 15 - Practice 1 56
Addition 0 – 15 - Practice 2 57
Addition 0 – 15 - Practice 3 58
Adding Three Numbers (0 – 20) - Practice 1 59
Adding Three Numbers (0 – 20) - Practice 2 60
Adding Four Numbers (0 – 20) - Practice 1 61
Adding Four Numbers (0 – 20) - Practice 2 62
Adding Sets 0 – 20 - Practice 1 63
Adding Sets 0 – 20 - Practice 2 64
Addition 0 – 20 - Practice 1 65
Addition 0 – 20 - Practice 2 66
Addition 0 – 20 - Practice 3 67
Addition 0 – 20 - Practice 4 68
Subtraction 0 – 10 - Practice 1 74
Subtraction 0 – 10 - Practice 2 75
Subtraction 0 – 12 - Practice 1 76
Subtraction 0 – 12 - Practice 2 77
Subtraction 0 – 12 - Practice 3 78
Subtraction 0 – 15 - Practice 1 79
Subtraction 0 – 15 - Practice 2 80
Subtraction 0 – 15 - Practice 3 81
Subtraction 0 – 20 - Practice 1 82
Subtraction 0 – 20 - Practice 2 83
Subtraction 0 – 20 - Practice 3 84
Inverse Operations - Practice 1 89
Inverse Operations - Practice 2 90
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

Work with addition and subtraction equations.

Math.1.OA.D.8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ – 3, 6 + 6 = _.

Activity Page
Addition 0 – 15 - Practice 2 57
Subtraction 0 – 15 - Practice 3 81
Inverse Operations - Practice 2 90

Work with addition and subtraction equations.

Math.1.OA.D.7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

Activity Page
Addition 0 – 15 - Practice 3 58
Addition Word Problems - Practice 2 73
Subtraction 0 – 15 - Practice 1 79
Subtraction 0 – 15 - Practice 3 81
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

### Domain - Measurement and Data, Grade 1

Measure lengths indirectly and by iterating length units.

Math.1.MD.A.1: Order three objects by length; compare the lengths of two objects indirectly by using a third object.

Activity Page
Long and Short - Practice 1 109
Long and Short - Practice 2 110
Short and Tall - Practice 1 111
Short and Tall - Practice 2 112
Size Review - Practice 1 113

Measure lengths indirectly and by iterating length units.

Math.1.MD.A.2: Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.

Activity Page
Inches - Practice 1 114
Inches - Practice 2 115

Tell and write time.

Math.1.MD.B.3: Tell and write time in hours and half-hours using analog and digital clocks.

Activity Page
Hours - Practice 1 122
Hours - Practice 2 123
Half Hours - Practice 1 124
Half Hours - Practice 2 125
Quarter Hours - Practice 1 126
Quarter Hours - Practice 2 127
Time Word Problems - Practice 1 128
Time Word Problems - Practice 2 129

Represent and interpret data.

Math.1.MD.C.4: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

Activity Page
Looking at Data - Practice 1 45
Looking at Data - Practice 2 46
Looking at Data - Practice 3 47
Graphs and Charts - Practice 1 48
Graphs and Charts - Practice 2 49
Graphs and Charts - Practice 3 50
Graphs and Charts - Practice 4 51
Small, Medium, Large - Practice 1 107
Small, Medium, Large - Practice 2 108

### Domain - Geometry, Grade 1

Reason with shapes and their attributes.

Math.1.G.A.1: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.

Activity Page
Plane Shapes - Practice 1 94
Plane Shapes - Practice 2 95
Plane Shape Riddles - Practice 1 96

Reason with shapes and their attributes.

Math.1.G.A.2: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.Students do not need to learn formal names such as "right rectangular prism."

Activity Page
Plane Shapes - Practice 2 95
Plane Shape Riddles - Practice 1 96
Solid Shapes - Practice 1 97
Solid Shapes - Practice 2 98

Reason with shapes and their attributes.

Math.1.G.A.3: Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Activity Page
Halves - Practice 1 99
Halves - Practice 2 100
Quarters - Practice 1 101
Quarters - Practice 2 102
Thirds - Practice 1 103
Thirds - Practice 2 104
Fraction Review - Practice 1 105
Fraction Review - Practice 2 106

### Domain - Number and Operations in Base Ten, Grade 1

Extend the counting sequence.

Math.1.NBT.A.1: Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.

Activity Page
Counting 2s, 5s, and 10s - Practice 2 22
Tens and Ones - Practice 3 26
Numbers to 100 - Practice 1 27
Numbers to 100 - Practice 2 28

Understand place value.

Math.1.NBT.B.3: Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

Activity Page
Number Riddles - Practice 1 7
Number Riddles - Practice 2 8
Greater Than - Practice 1 35
Greater Than - Practice 2 36
Less Than - Practice 1 37
Less Than - Practice 2 38
Greater Than or Less Than - Practice 1 39
Greater Than or Less Than - Practice 2 40
Greater Than, Less Than, Equal - Practice 1 41
Greater Than, Less Than, Equal - Practice 2 42

Understand place value.

Math.1.NBT.B.2: Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:

Activity Page
Expanded Notation - Practice 1 11
Expanded Notation - Practice 2 12
Tens and Ones - Practice 1 24
Tens and Ones - Practice 2 25
Tens and Ones - Practice 3 26
Hundreds - Practice 1 29
Hundreds - Practice 2 30
Number Words (0 – 99) - Practice 1 31
Number Words (0 – 99) - Practice 2 32
Number Words (100s) - Practice 1 33
Number Words (100s) - Practice 2 34
Money - Practice 1 130
Money - Practice 2 131
Money- Practice 3 132

Use place value understanding and properties of operations to add and subtract.

Math.1.NBT.C.5: Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

Activity Page
Counting 10s - Practice 1 18
Counting 10s - Practice 2 19
Counting 10s - Practice 3 20
Tens and Ones - Practice 1 24
Tens and Ones - Practice 2 25
Addition 0 – 12 - Practice 2 55
Addition 0 – 15 - Practice 1 56
Addition 0 – 15 - Practice 2 57
Addition 0 – 15 - Practice 3 58
Addition 0 – 20 - Practice 1 65
Addition 0 – 20 - Practice 2 66
Addition 0 – 20 - Practice 3 67
Addition 0 – 100 - Practice 1 69
Subtraction 0 – 20 - Practice 1 82
Subtraction 0 – 20 - Practice 2 83
Add, Subtract, Review - Practice 1 91
Money - Practice 1 130
Money Word Problems - Practice 1 133
Money Word Problems - Practice 2 134

Use place value understanding and properties of operations to add and subtract.

Math.1.NBT.C.4: Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, 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. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

Activity Page
Adding Three Numbers (0 – 20) - Practice 1 59
Adding Three Numbers (0 – 20) - Practice 2 60
Adding Four Numbers (0 – 20) - Practice 1 61
Adding Four Numbers (0 – 20) - Practice 2 62
Adding Sets 0 – 20 - Practice 1 63
Adding Sets 0 – 20 - Practice 2 64
Addition 0 – 20 - Practice 1 65
Addition 0 – 20 - Practice 2 66
Addition 0 – 20 - Practice 3 67
Addition 0 – 20 - Practice 4 68
Addition 0 – 100 - Practice 1 69
Addition 0 – 100 - Practice 2 70
Addition 0 – 100 - Practice 3 71
Add, Subtract, Review - Practice 1 91
Add, Subtract, Review - Practice 2 92
Add, Subtract, Review - Practice 3 93

Use place value understanding and properties of operations to add and subtract.

Math.1.NBT.C.6: Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), 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
Subtraction 0 – 20 - Practice 1 82
Subtraction 0 – 20 - Practice 2 83
Add, Subtract, Review - Practice 1 91
Money Word Problems - Practice 1 133
Money Word Problems - Practice 2 134