1. Division with remainders Meaning ContextExploration 3.18 Calculators

2. Exploration 3.18 1. Do by yourself, then discuss with your group. 2. –a.

3. Exploration 3.18 b. c. d.

4. Division with Remainder What does it mean to have a remainder?:

5. Terminology b ÷ n=a iff a∙n=b b is the dividend n is the divisor a is the quotient a and n are the factors of b and b is a multiple of a and n.

6. The number line! We use the number line with multiplication when we thought about continuous models, or multiplication as repeated addition. We can use the number line here to show division as repeated subtraction.

7. What Properties Hold for Division?

8. Dividing by Zero

9. Exploration 3.19 Read the description of the scaffolding algorithm Part 1a. Compute the following-try it yourself, then check your work with a partner.

10. Exploration 3.19 The Scaffolding Algorithm

11. Mental Division Some are easier to do in our heads than others: 6000/30 How about 152 divided by 8?

12. Exploration 3.20 “gazinta”

13. Exploration 3.20 Work together in your group. Use the base 10 blocks to work the problem Write an explanation of how and why for each step. Describe what you do with the manipulatives and in mathematical terms.