1. Lesson 12: Percents and Tape Diagrams
Essential Question:
How can we represent percents visually to help us solve problems?

2. Let’s Discuss… How could a 10 x 10 square grid represent 200 people?
Each square
represents 2 people.

3. What is similar and different between the two visual models?
Let’s Discuss…
How could a tape diagram represent 200 people?
Percent:
25%
People: 50
What is similar and different between the two visual models?

4. Remember…
Tape diagram segment divisions will vary depending upon the percent.
Example:
To find 20%, it is useful to divide 100 into 5 segments; to find 10%, it is useful to divide 100 into 10 segments, etc.

5. What fraction is represented by the tape diagram?
Complete the tape diagram. Shade in 25% on the tape diagram where the whole represents different amounts.
Percent:
100%
Whole:
100
What fraction is represented by the tape diagram?
Express the quantity in the diagram as follows:
25% of ______ = _______

6. What fraction is represented by the tape diagram?
Complete the tape diagram. Shade in 25% on the tape diagram where the whole represents different amounts.
Percent:
100%
Whole:
200
What fraction is represented by the tape diagram?
Express the quantity in the diagram as follows:
25% of ______ = _______

7. What fraction is represented by the tape diagram?
Complete the tape diagram. Shade in 25% on the tape diagram where the whole represents different amounts.
Percent:
100%
Whole: 60
What fraction is represented by the tape diagram?
Express the quantity in the diagram as follows:
25% of ______ = _______

8. What fraction is represented by the tape diagram?
Complete the tape diagram. Shade in 25% on the tape diagram where the whole represents different amounts.
Percent:
100%
Whole: 20
What fraction is represented by the tape diagram?
Express the quantity in the diagram as follows:
25% of ______ = _______

9. What fraction is represented by the tape diagram?
Complete the tape diagram. Shade in 25% on the tape diagram where the whole represents different amounts.
Percent:
100%
Whole:
500
What fraction is represented by the tape diagram?
Express the quantity in the diagram as follows:
25% of ______ = _______

10. Partner Work 100, 200, 60, 20, 500 You will be given a percent:
(such as 10%, 20%, 50%, or 75%).
2. With your partner, label the given tape diagrams in which you must find the assigned percent of the following wholes:
100, 200, 60, 20, 500

11. What pattern can you see from the fractions represented by each tape diagram? What conclusion can be drawn?
All fractions are equivalent and equal to 25% or ¼.
25% represents different quantities (depending upon the amount of the whole).

12. Let’s Review…
The quantity represented by a percent depends upon the size of the whole.
Visual representations of percents are useful in solving percent problems.

13. Ticket to Leave
In your math journal/notebook, explain why 25% does not always represent the same amount.