Unit 2: Operations and Algebraic Thinking: The Relationship Between Multiplication and DivisionIn this unit, students will:• begin to understand the concepts of multiplication and division• learn the basic facts of multiplication and their related division facts• apply properties of operations (commutative, associative, and distributive) as strategies to multiply and divide• understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.• fluently multiply and divide within 100, using strategies such as the patterns and relationships between multiplication and division• understand multiplication and division as inverse operations• solve problems and explain their processes of solving division problems that can also be represented as unknown factor multiplication problems.• represent and interpret dataStandards:Represent and solve problems involving multiplication and division.
MGSE3.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 x 7.
MGSE3.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 (How many in each group?), or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each (How many groups can you make?). For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
MGSE3.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.3
MGSE3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers using the inverse relationship of multiplication and division. For example, determine the unknown numberSongs and Videos:
Last Modified on September 12, 2020