Unit 3, Lesson 12
Representing Percentages in Different Ways
Grade 6
12.1
Warm-up
Notice and Wonder: Tape Diagram
What do you notice? What do you wonder?
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What do you notice? What do you wonder?
Jada has a new puppy that weighs 9 pounds.
The weight of Jada’s puppy is 10% of the weight of another dog.
What does 100% represent in this situation?
What is the weight of the other dog? Explain or show your reasoning.
You can use the tape diagram or the table if you find either one helpful.
| weight (pounds) | percentage |
|---|---|
| 9 | 10 |
A bunny weighs 150% as much as Jada’s puppy.
What is the weight of the bunny? Explain or show your reasoning.
You can use the double number line diagram, tape diagram, or table if you find one of them helpful.
| weight (pounds) | percentage |
|---|---|
| 9 | |
Tables and tape diagrams can also help us make sense of percentages.
Consider two problems that we solved earlier using a double number line diagram:
What is 30% of 50 pounds? Here is a tape diagram that shows that 30% of 50 pounds is 15 pounds.
Mai spent 90 minutes reading on Monday. This is 125% as much time she spent reading on Sunday. How long did she read on Sunday?
In other words: If 90 is 125% of a number, what is 100% of that number? A table can help us reason about problems like this.
Here is one that shows that 100% of that number must be 72.
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