Circles

Act 1

1. Which circle will fill up first?

2. Write down a guess.

Act 2

3. What information would be useful to figure this out?

4. Write down some questions you have in your head right now.

Note: The animation software animates the circles using a rate of pixels/time instead of square pixels / time.

Act 3

Sequel

5. What would happen if the blue circle was 5% larger?

6. What would happen if the yellow circle was 5% smaller?

Standards

Common Core

• 7.RP - Analyze proportional relationships and use them to solve real-world and mathematical problems.

• 7.G.B.4 - Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

TEKS

• 7.4(D) - solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems

• 7.5(C) - solve mathematical and real-world problems involving similar shape and scale drawings