Division Using Manipulatives & Algorithms for Whole-Number Division

1. Division Using Manipulatives & Algorithms for Whole-Number Division

2. Video: Division of Whole Numbers with Manipulatives • Video of manipulatives with division • Try 105 ÷ 15 with manipulatives using both methods. • Solutions are on the next two slides

3. Partition/Sharing There are 105 ones, which we can divide into 15 equal groups. Seven ones can go into each of the groups, so 105 ÷ 15 = 7.

4. Measurement/Repeated Subtraction • Start with 105 and count how many groups of 15 can be taken from 105? 7 groups of 15, so 105 ÷ 15 = 7

5. Video: Alternate Division Algorithms • Video of Alternate Algorithms for division

6. Try using the Partial-Quotients Method and the Scaffolding Method on the following problems: 843 ÷ 11 726 ÷ 6 Solutions are on the following slides

7. Partial Quotients Method: 843 ÷ 11 11 -110 10 733 -550 50 183 -110 10 73 -66 + 6 7 76 r 7 11 -770 70 73 -66 + 6 7 76 r 7 11 -550 50 293 -220 20 73 -66 + 6 7 76 r 7

8. Partial Quotients Method: 726 ÷ 6 or

9. 6 10 6 6 50 70 20 10 11 50 11 -770 11 -110 73 -550 733 -66 293 -550 7 -220 183 73 -110-66 73 7 -66 7 Scaffolding Method: 843 ÷ 11 76 r7 76 r7 76 r7

10. Scaffolding Method: 726 ÷ 6 1 10 10 1 100 20 100 -600 126 -600 -60 126 66 -120 -60 6 6 -6 -6 0 0