1. Explain the difference between a partitive and a measurement interpretation of division.
2. Explain how a child might solve 15 ÷ 3 by direct modeling in a partitive way
3. Explain how a child might solve 15 ÷ 3 by direct modeling in a measurement way.
4. Explain how a child might solve 15 ÷ 3, thought of in a measurement model, by using addition, subtraction or skip counting
5. Explain how a child might solve 15 ÷ 3, thought of in a partitive model, by using addition, subtraction or skip counting. Explain why this is harder than doing it with the measurement model thinking.
6. Write a missing number multiplication problem that corresponds to 15 ÷ 3.
7. Draw a diagram and write an explanation for why 15 ÷ 3 done the measurement way and 15 ÷ 3 done the partitive way will of course have the same answer.
8. Write a partitive division word problem.
9. Write a measurement division word problem.
10. Tell whether each of these word problems is a multiplication problem, a partitive division problem or a measurement division problem.
a. Sally has 4 times as many pencils as Jan. Jan has 5 pencils. How many pencils does Sally have?
b. A pack of Pokemon cards costs $4. If I have $12, how many packs of Pokemon cards can I buy?
c. I have 3 times as many pencils as pens. I have 15 pencils. How many pens do I have?
d. An eraser costs $.12. How much do 4 erasers cost?
e. Ellen has 4 green erasers as 12 pink erasers. How many times as many pink erasers as green erasers does she have?
f. Ms Anderson has 5 pencil boxes. Each box has 6 pencils. How many pencils does she have?
g. Four children share 12 apple slices evenly. How many apple slices does each child get?
h. Mark can read 4 pages of his book in 1 minute. How many pages can he read in 5 minutes?
i. I have 10 ounces of cinnamon. If I put 2 ounces of cinnamon in each jar, how many jars can I fill?
j. Kyle can make 15 paper airplanes in 5 minutes. How many paper airplanes can he make in 1 minute?
k. If it costs $12 for 4 boxes of colored pencils, how much does one box of colored pencils cost?
l. I can walk 3 miles in 1 hour. How long will it take me to walk 9 miles?