Fraction DivisionSep 2014TTT Workshop

Type 1: “How many groups?”

Fraction DivisionSep 2014TTT Workshop

Type 2: “How many in one group?”

1. Pick one of the two types of division for 3 ÷ 2/5.

i. Write a simple word problem for 3 ÷ 2/5.

ii. Solve 3 ÷ 2/5 with the aid of a strip diagram.

iii.Solve 3 ÷ 2/5 with the aid of a table.

iv.Solve 3 ÷ 2/5 with the aid of a double number line.

2. Which type of division is easier to model for 3 ÷ 2/5. Why?

Sep 2014TTT Workshop

3. List the difference between the two types of division:

Sep 2014TTT Workshop

A. Quotitive divisionB. Partitive divisionC. Measurement modelD. Modeled by sharing equally.E. Modeled by subtracting repeatedly.F. The divisor is the number of groups.G. The divisor is the number of objects in each group.H. The number of partitions is fixed.I. The number of objects in each partition is fixed.J. The dividend and the divisor usually have the

same unit of measurement.K. The dividend and the quotient usually have the

same unit of measurement.

4. Write a simple “how many groups?” word problem for 1/3 ÷ 2/5. Solve your problem with the aid of (i) a strip diagram, (ii) a table, and (iii) a double number line.

5. Write a simple “how many in one unit?” word problem for 1/3 ÷ 2/5. Solve your problem with the aid of (i) a strip diagram, (ii) a table, and (iii) a double number line.

Sep 2014TTT Workshop

6. Which type of division is easier to model for 1/3 ÷ 2/5. Why?

7. Conceptually, why is more difficult for students to model 1/3 ÷ 2/5 than 3 ÷ 2/5?

Sep 2014TTT Workshop

3. List the difference between the two types of division:

A. Quotitive division

B. Partitive division

C. Measurement model

D. Modeled by sharing equally.

E. Modeled by subtracting repeatedly.

F. The divisor is the number of groups.

G. The divisor is the number of objects in each group.

H. The number of partitions is fixed.

I. The number of objects in each partition is fixed.

J. The dividend and the divisor usually have the same unit of measurement.

K. The dividend and the quotient usually have the same unit of measurement.

L. Easy to model if the divisor is smaller than the dividend.

M. Easy to model if the divisor is a whole number.

Sep 2014TTT Workshop

8. How are the two types of division related to multiplication?

Sep 2014TTT Workshop

3. List the difference between the two types of division:

A. Quotitive division

B. Partitive division

C. Measurement model

D. Modeled by sharing equally.

E. Modeled by subtracting repeatedly.

F. The divisor is the number of groups.

G. The divisor is the number of objects in each group.

H. The number of partitions is fixed.

I. The number of objects in each partition is fixed.

J. The dividend and the divisor usually have the same unit of measurement.

K. The dividend and the quotient usually have the same unit of measurement.

L. Easy to model if the divisor is smaller than the dividend.

M. Easy to model if the divisor is a whole number.

N. In terms of multiplication problem, the multiplier is missing.

O. In terms of multiplication problem, the multiplicand is missing.

Sep 2014TTT Workshop

Sep 2014TTT Workshop

9. What have we learned?