1. *Don’t forget to sign in!* Which property or properties make these statements true? Can you show or explain why? Give a reason? Draw a picture? 2 (3 14) = (2 3) 14? 2 (3 14) = (3 2) 14? 2 (3 14) = 3 (2 14) 2 (3 14) = 14 (2 3) 2 (3 + 14) = 2 14 + 3 2 2 (3 14) ≠ 2 3 2 14

2. Agenda Be sure to finish your Multiplication and Division are like Addition and Subtraction Exploration 3.15 Zero: The dangerous idea returns

3. Multiplication and Division In mathematics, we say that addition and subtraction are inverse operations. This is why there are related facts: 3 + 4 = 7; 7 - 4 = 3; 7 - 3 = 4 In this same way, multiplication and division are inverse operations: 3 4 = 12; 12 ÷ 4 = 3; 12 ÷ 3 = 4.

4. Exploration 3.15 Make up two story problems for 15 ÷ 3. Make sure that if one problem can be solved by diving into equal groups, your other problem should be solved in a different way. Share them with your group. Sort them into two or more piles according to type of division model. Select one from each pile, and write it on the chart paper to share. Include a picture illustrating your solution.

5. Different Word Problems In any division problem: Dividend ÷ Divisor = Quotient. In word problems, we usually have a rate as part of the problem (apples per person). Where the rate appears determines the type of word problem.

6. Where is the rate? Carlos has 24 apples. If it takes 4 apples per pie, how many pies can he make? This is repeated subtraction. Carlos has 24 apples. If he wants to make 4 pies, how many apples will be in each pie? This is partitioning.

7. To consider: If I have 30 party favors to put into 6 bags, how many party favors should I put in each bag? If I have 0 party favors to put into 6 bags, how many party favors should I put in each bag? If I have 30 party favors to put into 0 bags, how many party favors should I put in each bag?