Sample Solutions

Expect to see varied solution paths. Accept accurate responses, reasonable explanations, and equivalent answers for all student work.

1. Liz draws circles by using this rule: Multiply the number of circles by 2 a. How many circles should Liz draw for figure D? How do you know?

Liz should draw 40 circles because 2 × 20 = 40 b. Complete the statements and equation to match the figures.

There are 2 times as many circles in figure B than in figure A.

10 is 2 times as many as 5

10 = 2 × 5

There are 2 times as many circles in figure C than in figure B.

20 is 2 times as many as 10

20 = 2 × 10

9. There are 9 tables in the cafeteria. There are 8 times as many chairs as tables. How many chairs are in the cafeteria?

There are 72 chairs in the cafeteria.