K.OA.1

**Use Pictures to Add and Subtract**

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.2

**Let's Add and Subtract**

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

K.OA.3

**Make Bigger Numbers**

Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

K.OA.4

**Friends of Ten**

For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

K.OA.5.i

Add within 5.

K.OA.5.ii

**Subtract Within 5**

Subtract within 5.

1.OA.1

**Word Problems**

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.

1.OA.3

Count to 100 by ones and by tens.

Apply properties of operations as strategies to add and subtract.

1.OA.4

**Number Families**

Understand subtraction as an unknown-addend problem.

1.OA.5

**Skip Counting**

Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

1.OA.6.i

**Add and Subtract Up to 20**

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.

1.OA.6.ii

**Add and Subtract Up to 20**

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.

1.OA.7

Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.

1.OA.8

**Find the Missing Number**

Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.

2.OA.1

**Word Problems**

Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

2.OA.2

Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

2.OA.2

**Math Fact Practice**

Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

2.OA.3

**Odds and Evens**

Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

2.OA.4

**Arrays**

Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

3.OA.1

**Multiplying Whole Numbers**

Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each.

3.OA.2

**Dividing Whole Numbers**

Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each.

3.OA.3

**Multiply, Divide: Word Problems**

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

3.OA.4

**Unknown Number Equations**

Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

3.OA.5

**Properties of Multiplication**

Apply properties of operations as strategies to multiply and divide.

3.OA.6

Understand division as an unknown-factor problem.

3.OA.7

**Multiply, Divide: 1-5**

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

3.OA.7

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

3.OA.8

**Two-Step Word Problems**

Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

4.OA.1

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

4.OA.2

**Multiply with Word Problems**

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

4.OA.3

**Multistep Word Problems**

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

4.OA.4

**Prime and Composite Numbers**

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

4.OA.4

**Factors and Multiples**

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

4.OA.5

**Number and Shape Patterns**

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

5.OA.1

**Intro to Order of Operations**

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.1

**Practice Order of Operations**

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.1

**Order of Operations**

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2

**Words to Numbers**

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

5.OA.3

**Patterns from Ordered Pairs**

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.

5.OA.3

**Understand Patterns**

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.

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