Section A Section A Checkpoint

Problem 1

Select all diagrams that show 4×134 \times \frac{1}{3}.

A
 
3 diagrams of equal length. 4 equal parts. 1 part shaded. Total length, 1.
B
 
4 Diagrams of equal length. 3 equal parts. 1 part shaded. Total length, 1.
C
 
3 diagrams of equal length. 3 equal parts, 1 part shaded. Total length, 1.
D
 
Diagram. 3 equal parts each labeled 1 fourth.
E
 
Diagram. 4 equal parts each labeled 1 third.

Show Solution
Solution
B, E
Show Sample Response
Sample Response
B, E

Problem 2

Select all expressions that are equivalent to 85\frac{8}{5}.

A
 5×185 \times \frac{1}{8}
B
 8×158 \times \frac{1}{5}
C
 2×452 \times \frac{4}{5}
D
 4×254 \times \frac{2}{5}
E
 2×652 \times \frac{6}{5}

Show Solution
Solution
B, C, D
Show Sample Response
Sample Response
B, C, D

Problem 3

  1. Draw a diagram showing 4×234 \times \frac{2}{3}.

  2. Use the diagram to calculate 4×234 \times \frac{2}{3}.

Show Solution
Solution

  1. Sample response:

    Diagram

  2. 83\frac{8}{3}. Sample response: There are 4×24 \times 2 or 8 shaded parts and each part is 13\frac{1}{3} of a full rectangle.
Show Sample Response
Sample Response

  1. Sample response:

    Diagram

  2. 83\frac{8}{3}. Sample response: There are 4×24 \times 2 or 8 shaded parts and each part is 13\frac{1}{3} of a full rectangle.