## 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.

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Problem 1 9
Problem 4 10
Problem 12 14
Problem 16 16
Problem 17 17
Problem 18 17
Problem 20 18
Problem 19 18
Problem 22 19
Problem 21 19
Problem 25 21
Problem 29 23
Problem 31 24
Problem 32 24
Problem 34 25
Problem 36 26
Problem 35 26
Problem 38 27
Problem 40 28
Problem 39 28
Problem 42 29
Problem 41 29
Problem 45 31
Problem 46 31
Problem 48 32
Problem 50 33
Problem 52 34
Problem 59 38
Problem 61 39
Problem 62 39

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.

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Problem 18 17
Problem 21 19
Problem 23 20
Problem 25 21
Problem 28 22
Problem 66 41
Problem 67 42
Problem 68 42

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.)

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Problem 8 12
Problem 13 15
Problem 15 16
Problem 18 17
Problem 21 19
Problem 23 20
Problem 25 21
Problem 27 22
Problem 28 22
Problem 32 24
Problem 37 27
Problem 42 29
Problem 44 30
Problem 43 30
Problem 45 31
Problem 49 33
Problem 51 34
Problem 53 35
Problem 60 38
Problem 66 41
Problem 67 42
Problem 68 42

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.

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Problem 36 26
Problem 35 26
Problem 38 27
Problem 39 28
Problem 40 28
Problem 46 31
Problem 45 31
Problem 48 32
Problem 50 33
Problem 52 34
Problem 54 35
Problem 53 35
Problem 58 37
Problem 59 38
Problem 60 38
Problem 61 39
Problem 62 39
Problem 63 40

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

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Problem 2 9
Problem 3 10
Problem 4 10
Problem 6 11
Problem 5 11
Problem 9 13
Problem 13 15
Problem 18 17
Problem 17 17
Problem 20 18
Problem 22 19
Problem 24 20
Problem 26 21
Problem 29 23
Problem 32 24
Problem 31 24
Problem 34 25
Problem 35 26
Problem 37 27
Problem 42 29
Problem 45 31
Problem 50 33
Problem 49 33
Problem 52 34
Problem 53 35
Problem 58 37
Problem 61 39
Problem 63 40

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).

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Problem 15 16
Problem 23 20
Problem 25 21
Problem 29 23
Problem 32 24
Problem 34 25
Problem 35 26
Problem 41 29
Problem 42 29
Problem 43 30
Problem 44 30
Problem 45 31
Problem 46 31
Problem 48 32
Problem 47 32
Problem 50 33
Problem 52 34
Problem 54 35
Problem 53 35
Problem 58 37
Problem 60 38
Problem 62 39

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.

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Problem 27 22
Problem 61 39

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 = _.

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Problem 35 26
Problem 36 26
Problem 38 27
Problem 39 28
Problem 40 28
Problem 49 33
Problem 50 33
Problem 54 35
Problem 59 38
Problem 63 40

### 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.

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Problem 57 37
Problem 106 61

Tell and write time.

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

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Problem 6 11
Problem 10 13
Problem 11 14
Problem 13 15
Problem 24 20
Problem 26 21
Problem 30 23
Problem 33 25

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.

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Problem 37 27
Problem 95 56
Problem 96 56
Problem 97 57
Problem 99 58
Problem 100 58
Problem 101 59
Problem 102 59
Problem 104 60
Problem 103 60
Problem 105 61
Problem 106 61
Problem 108 62
Problem 107 62
Problem 109 63
Problem 110 63

### 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.

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Problem 7 12
Problem 64 40
Problem 89 53
Problem 90 53
Problem 92 54
Problem 91 54
Problem 94 55
Problem 93 55

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."

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Problem 7 12
Problem 64 40
Problem 89 53
Problem 90 53
Problem 92 54
Problem 94 55
Problem 93 55

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.

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Problem 70 43
Problem 72 44
Problem 71 44
Problem 74 45
Problem 83 50

### 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.

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Problem 2 9
Problem 1 9
Problem 4 10
Problem 3 10
Problem 5 11
Problem 6 11
Problem 17 17
Problem 22 19
Problem 23 20
Problem 102 59

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:

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Problem 5 11
Problem 6 11
Problem 96 56
Problem 100 58
Problem 99 58
Problem 101 59

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 <.

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Problem 99 58
Problem 100 58
Problem 101 59
Problem 105 61
Problem 106 61

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.

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Problem 12 14
Problem 25 21
Problem 28 22
Problem 31 24
Problem 51 34
Problem 67 42
Problem 68 42

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.

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Problem 40 28
Problem 50 33

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.

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Problem 40 28
Problem 50 33
Problem 75 46