Your child will be learning about multiplication and division over the course of several units. During this unit, your child will continue to develop an understanding of the meanings of multiplication and division of whole numbers through activities and problems involving equal –sized groups, arrays, and area sized models. He/she will come to understand multiplication as finding an unknown product and division as finding an unknown factor. A variety of equal-sized group situations will be presented to develop the understanding that division can require finding the unknown number of groups or the unknown group size. Strategic practice in order to become fluent with multiplication and division facts will continue throughout this unit.
By the end of Unit 4, students will be expected to be able to solve two-step word problems and choose the equation that represents the situation with a letter standing for the unknown quantity. In Unit 5, students will be expected to solve two-step word problems and write the equation that represents the situation with a letter standing for the unknown quantity.
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Students need to:
- Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. Use drawings and equations with a symbol for the unknown number to represent the problem.
- Identify arithmetic patterns (including patterns in the addition and multiplication table) and explain them using properties of operations.
- Interpret whole-number quotients of whole numbers. For example, 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 equally into equal shares of 8 objects each. Describe a context in which a number of shares or a number of groups can be expressed as 56/8
- Solve two-step word problems using the four operations. Represent these problems using equations with a letter for the unknown quantity. Assess reasonableness of answers using mental computation and estimation strategies including rounding.
- Understand division as an unknown-factor problem. For example, find 32/8 by finding the number that makes 32 when multiplied by 8.
- 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 40/8=5) or properties of operations.