**Mathematics: Grade 3: Operations and Algebraic Thinking**

## 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.

*For example, describe a context in which a total number of objects can be expressed as 5 × 7.*Click here to watch the Learn Zillion lesson: Understand multiplication problems- using equal groups

Click here to learn about the commutative property in multiplication (turn-around facts)

Click here to learn about the commutative property in multiplication (turn-around facts)

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.

*For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.*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.

(See Glossary, Table 2.)

(See Glossary, Table 2.)

Watch the BrainPop Jr. movie, Making Equal Groups (user name- wmkids password- learn)

Watch the BrainPop Jr. movie, Arrays

Click here to solve multiplication word problems

Click here to solve division word problems

Click here to model and solve multiplication and division word problems

Click here to practice multiplication facts with animated solutions

Application Story Problems for Popular Math Picture Books

Click here for division story problems related to the book, One Hundred Hungry Ants

Click here for multiplication story problems related to the book, Each Orange Had 8 Slices

Click here for the division story problems related to the book, The Doorbell Rang

Watch the BrainPop Jr. movie, Arrays

Click here to solve multiplication word problems

Click here to solve division word problems

Click here to model and solve multiplication and division word problems

Click here to practice multiplication facts with animated solutions

Application Story Problems for Popular Math Picture Books

Click here for division story problems related to the book, One Hundred Hungry Ants

Click here for multiplication story problems related to the book, Each Orange Had 8 Slices

Click here for the division story problems related to the book, The Doorbell Rang

3.OA.4. 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 = _ ÷ 3, 6 × 6 = ?*Click here to practice making multiplication and division fact families

Click here for a set of fact triangles to cut out for practice at home

Click here for a set of fact triangles to cut out for practice at home

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

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

(Students need not use formal terms for these properties.)

*Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)*(Students need not use formal terms for these properties.)

Click here to learn about the commutative property in multiplication (turn-around facts)

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

*For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.*Click here for practice story problems

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.

Click here to practice single-digit multiplication facts for fluency

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.

(This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order.)

(This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order.)

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

*For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.*Click here to practice multiplication input/output tables (patterns)

Click here to practice division input/output tables (patterns)

Click here for an interactive multiplication table

Click here to 'paint' the times tables using patterns (labeled for evaluation only)

Click here to identify arithmetic patterns (function machine/ input and output tables)

Click here to solve geometric shape patterns

Click here to practice division input/output tables (patterns)

Click here for an interactive multiplication table

Click here to 'paint' the times tables using patterns (labeled for evaluation only)

Click here to identify arithmetic patterns (function machine/ input and output tables)

Click here to solve geometric shape patterns