Operations And Algebraic Thinking

Outcomes

Represent And Solve Problems Involving Multiplication And Division.
- 3.OA.1
  Interpret products of whole numbers, e.g., interpret 5 x 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 x 7.
  
  Play Activities 5
  
  Examples
- 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.1
  
  Play Activities 127
  
  Examples
- 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 x ? = 48, 5 = _ / 3, 6 x 6 = ?.
  
  Play Activities 33
  
  Examples
Understand Properties Of Multiplication And The Relationship Between Multiplication And Division.
- 3.OA.5
  Apply properties of operations as strategies to multiply and divide.2 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 by 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.)
  
  Play Activities 10
  
  Examples
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 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.
  
  Play Activities 37
  
  Examples
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
  
  Play Activities 130
  
  Examples
- 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.
  
  Play Activities 42
  
  Examples