__Unit 1: Operations and Algebraic Thinking__

__Unit 1: Operations and Algebraic Thinking__

Students have been working on the following math standards:

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3 X 5 = 15, then 15 X 2 = 30, or by 5 X 2 = 10, then 3 X 10 = 30. (Associative Property of Multiplication). Knowing that 8 X 5 = 40 and 8 X 2 = 16, one can find 8 X 7 as 8 X (5 + 2) = (8 X 5) + (8 X 2) = 40 + 16 = 56. (Distributive Property).

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__Represent and solve problems involving multiplication and division.__**Interpret products of whole numbers, e.g., interprets 5 X 7 as the total number of objects in 5 groups of 7 objects each.**__3.OA.A.1__Click on the following links to watch short video clips on Learn Zillion to see what this looks like:

__3.OA.A.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 the number of shares when 56 objects are partitioned into equal shares of 8 objects each.Click on the following links to watch short video clips on Learn Zillion to see what this looks like:

- Solve division problems by subtracting equal groups
- Interpret the meaning of division by matching equations to real world examples

__3.OA.A.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.Click on the following link to watch a short video clip on Learn Zillion to see what this looks like:

__3.OA.A.4__Determine the unknown whole number in a multiplication or division equation by relating three whole numbers, For example, determine the unknown number that makes the equation true in each of the equations 8 X ? = 48, 5 = __ ÷ 3, 6 X 6 = ?Click on the following link to watch a short video clip on Learn Zillion to see what this looks like:

__Understand properties of multiplication and the relationship between multiplication and division.____3.OA.B.5__Apply properties of operations to multiply and divide. Examples: if 6 X 4 = 24 is known, then 4 X 6 = 24 is also known. (Commutative Property of Multiplication). 3 X 5 X 2 can be found by3 X 5 = 15, then 15 X 2 = 30, or by 5 X 2 = 10, then 3 X 10 = 30. (Associative Property of Multiplication). Knowing that 8 X 5 = 40 and 8 X 2 = 16, one can find 8 X 7 as 8 X (5 + 2) = (8 X 5) + (8 X 2) = 40 + 16 = 56. (Distributive Property).

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- Understand the Commutative property by naming arrays
- Understand the Commutative property of multiplication in word problems
- Understand multiplication and division relationships

__3.OA.B.6__Understand division as an unknown factor problem. For example, fins 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.Click on the following links to watch short video clips on Learn Zillion to see what this looks like:

- Interpret divison as an unknown factor problem using arrays
- Interpret divison as an unknown factor problem using fact families
- Interpret divison as an unknown factor problem using the bar model

__Multiply and divide within 100.____3.OA.C.7__Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division (e.g., knowing that 8 X 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 on the following links to watch short video clips on Learn Zillion to see what this looks like;