# Common Core: Operations & Algebraic Thinking

##### 3.OA.C7

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 (square root) 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

October 1, 2018##### 3.OA.B6

Understand division as an unknown-factor problem. For example, find 32 (square root) 8 by finding the number that makes 32 when multiplied by 8.

October 1, 2018##### 3.OA.A4

Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 _ ? = 48, 5 = _ (square root) 3, 6 _ 6 = ?

October 1, 2018##### 3.OA.A2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 (square root) 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. For example, describe a context in which a … Read More “3.OA.A2”

October 1, 2018##### 5.OA.B3

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 … Read More “5.OA.B3”

October 1, 2018##### 5.OA.A2

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 … Read More “5.OA.A2”

October 1, 2018##### 5.OA.A1

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

October 1, 2018##### 4.OA.C5

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. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even … Read More “4.OA.C5”

October 1, 2018##### 4.OA.B4

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 … Read More “4.OA.B4”

October 1, 2018##### 4.OA.A3

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.

October 1, 2018##### 4.OA.A2

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.1

October 1, 2018##### 4.OA.A1

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 _ 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.

October 1, 2018