Relating Multiplication and Division M4A1 Students will represent and understand mathematical relationships. Essential Question: How can we use our understanding of multiplication to assist us with the process of division?

Remember! Fact Families and Inverse Operations? 20 5 If 5 X 4 = 20, then, 20 ÷ 5 = 4 4

Multiplication Answers the question-- How many total? Look at this example: Mrs. Evans went to the grocery store and got four bags of groceries. If there are 6 items in each bag, how many total items does she have? 4 X 6 = 24

Division Answers the question- How many in each? Take another look at our example: Here is how the problem would change: Mrs. Evans went to the grocery store and bought 24 items. She has four bags. How many items would evenly be in each bag? 24 ÷ 4 = 6

Before we look any further, let’s learn our division vocabulary! 45 Dividend A number that is divided by another number. I’m BIG!!! (I’m cozy in my den.) 9 Divisor Indicates the size of each group. (I’m outside in the sun!) 5 Quotient The result of a division problem. (I’m outside in the tent!)

45 ÷ 9 = 5 Here it is again! Dividend A number that is divided by another number. Divisor Indicates the size of each group. Quotient The result of a division problem.

49 ÷ 7 = ÷ 10 = ÷ 9 = ÷ 9 =9 72