Operations+and+Algebraic+Thinking

Mathematical Practices

 * 1) Make sense of problems and persevere in solving them.
 * 2) Construct viable arguments and critique the reasoning of others.
 * 3) Model with mathematics.
 * 4) Use appropriate tools strategically.
 * 5) Attend to precision.
 * 6) Look for and make use of structure.
 * 7) Look for and express regularity in repeated reasoning.

3.OAT.1 > > >
 * 1) Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. [|Find aligned resources]
 * 1)  3.OAT.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. [|Find aligned resources]
 * 1)  3.OAT.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [|Find aligned resources]

Understand properties of multiplication and the relationship between multiplication and division.
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 * 1)  3.OAT.5 Apply properties of operations as strategies to multiply and divide. //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.)// [|Find aligned resources]

Multiply and divide within 100.

 * 1) <span style="font-family: Corbel,'Trebuchet MS',Verdana,sans-serif; font-size: 1.5em;"> 3.OAT.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.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.
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 * 1) <span style="font-family: Corbel,'Trebuchet MS',Verdana,sans-serif; font-size: 1.5em;"> 3.OAT.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.<span style="font-family: Corbel,'Trebuchet MS',Verdana,sans-serif; font-size: 1.4em;"> [|Find aligned resources]