**Warmup**

**Activity #1**

**Equivalent percentages.**

The red arrow is used to show equivalent amounts on the centimeter scale and the inches scale.

- Move the red slider to see equivalent amounts.
- Check the Number Lines box. As you move the red slider back and forth, you see the changing percentage value as the slider moves along the scale.
- Check the Tick Marks box. The percentage scale is divided into 4 quarters. As you move the red slider again, you see the changing percentage value as the slider moves along the scale.
- Change the intervals to 3 and also to 5 and play around with the red slider.
- The top line has a default reference to 20. Check the Label top line box. And the line is labeled.
- Play around with the Intervals slider and the red slider to see the percentage value of the number on the top line.
- Change the Reference value and continue to practice.

**Activity #2**

**Use the Double Number Line to Solve Percentage Problems.**

- Read the problems below carefully and answer them.
- If you get stuck, consider using the double number line below.

(1.) During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?

(2.) Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?

(3.) A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults? You can use the double number line in the applet below.

**Activity #3**

** Application of Double Number Lines to Solve Percentage Problems**

- Use the double number line to answer the questions below. Explain your reasoning.

(1.) Elena biked 8 miles on Saturday.

(a.) What is 100% of her Saturday distance?

(b.) On Sunday, she biked 75% of her Saturday distance. How far was that?

(c.) On Monday, she biked 125% of her Saturday distance. How far was that?

- Use the double number line to answer the question below. Explain your reasoning.

(2.) Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 20% of its adult weight.

What will be the adult weight of the puppy?

- Use the double number line to answer the questions below. Explain your reasoning.

(3.) Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight.

(1.) What will be the adult weight of Andre’s puppy?

(2.) What is the same about Jada and Andre’s puppies? What is different?

**Quiz Time**

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