Operations & Algebraic Thinking - 3rd Grade Common Core Math

Represent and solve problems involving multiplication and division.

3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.

Multiplication as repeated addition

Multiplication as Repeated Addition

Multiply using pictures

Multiply using Pictures

3.OA.2 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 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 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Relate division and multiplication

Relate Division and Multiplication

Understand properties of multiplication and the relationship between multiplication and division.

3.OA.5 Apply properties of operations as strategies to multiply and divide.

3.OA.6 Understand division as an unknown-factor problem.

Relate division and multiplication

Relate Division and Multiplication

Multiply and divide within 100.

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.

Multiply by 2

Multiply by 2

Multiply by 4

Multiply by 4

Multiply by 5

Multiply by 5

Multiply by 10

Multiply by 10

Multiply by 0 and 1

Multiply by 0 and 1

Multiply by 3

Multiply by 3

Multiply by 6

Multiply by 6

Multiply by 7

Multiply by 7

Multiply by 8

Multiply by 8

Multiply by 9

Multiply by 9

Divide by 2

Divide by 2

Divide by 5

Divide by 5

Divide by 10

Divide by 10

Divide by 3

Divide by 3

Divide by 4

Divide by 4

Divide by 6

Divide by 6

Divide by 7

Divide by 7

Divide by 8

Divide by 8

Divide by 9

Divide by 9

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

3.OA.8 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.

3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.