1. An Introduction to Ratios!

2. A Ratio is… A comparison between two quantities
For every x units of one quantity, there are y units of another

3. 3 Ways to Display Ratios Using a colon Example: 2:3
As a fraction Example: 𝟐 𝟑
With the word, “to” Example: 2 to 3

4. Ratios Show Three Scenarios
Part to part
Part to whole
Whole to part

5. Scenario #1: Part to Part
Blue to Yellow
5:4 𝟓 𝟒 to 4

6. Scenario #2: Part to Whole
Blue to Total
5:9 𝟓 𝟗 to 9

7. Scenario #3: Whole to Part
Total to Yellow
9:4 𝟗 𝟒 to 4

8. Ratio Word Problem Example #1:
A sixth grade basketball team has 3 centers, 5 forwards, and 6 guards. Write a ratio for each comparison using a colon:
Forwards to guards (part to part) 5:6
Centers to total (part to whole) 3:14
Total to guards (whole to part) :6

9. Ratio Word Problem Example #2:
Martine’s quilt is made of 6 red squares and 18 blue squares. Write a ratio for each comparison using the fraction.
Red to blue (part to part) 𝟔 𝟏𝟖
Red to total (part to total) 𝟔 𝟐𝟒
Total to blue (total to part) 𝟐𝟒 𝟏𝟖

10. Ratio Word Problem Example #3:
Gene has a movie collection. He has 9 Adventure movies, 8 Horror, 5 Sci-Fi, and 12 Comedy. Write a ratio for each comparison using the word, “to.”
Horror to comedy (part to part) 8 to 12
Sci-Fi to total (part to total) 5 to 34
Total to Adventure (total to part) 34 to 9

11. Equivalent ratios are the same as equivalent fractions
2:3 is the same as 4:6 or 6:9
1 2 is the same as or
9 to 5 is the same as 18 to 10 or 81 to 45

12. Practice – You Try!
Directions: Draw the following ratios, using squares and circles:
4:4
𝟓 𝟗
9 to 3

13. Practice – You Try!
Directions: Write the following ratios in all three ways.

14. Practice – You Try! Directions: Write an equivalent ratio. 70:35 𝟖 𝟔
14 to 15