These word problems come from Practice A in the 5B Standards Edition Textbook (p. 68). This particular practice follows six lessons on “Percentage” and “Writing Fractions as Percentages”. Notice how the challenge progresses through the seven problems.

*Let’s look at the underlying concepts of each problem:*

5. No computation is needed. “15 out of 100”

6. Variation in 2 levels

- Find complement: 37 marbles are green, how many aren’t?
- Convert to percentage.

7. Connects percentage to a fraction.

8. Find complement of percentage.

9. Convert fraction to percentage.

10. Corresponds to problem #5. Can you visualize: “if 14/50 how many out of 100?”

11. Multi-step. “Can you imagine how many of 100?” Demonstrates thinking proportionally.

12. First application to measures. Measurement is a continuous quantity, making this problem more abstract.

*How does this progression lead to a deep understanding of the concepts?
*