1. Ratios
Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.
Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts
Use reasoning about multiplication and division to solve ratio and rate problems

2. I can… Write ratios three different ways Write equivalent ratios
Compare ratios
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. Ratios
ratio – a comparison of two numbers by division written in several different forms.

4. Ratios
The order of the numbers in a ratio should match the order of the words in a ratio.
apples to oranges
2 to 3

5. Ratios can be written in three different ways.
Writing Ratios
Ratios can be written in three different ways.
red to white
3 to 1
3 : 1 3 1

6. Ratios Ratios can show comparisons between: part to part red to green
green to red
2 to 1

7. Ratios Ratios can show comparisons between: part to whole red to whole
green to whole
2 to 3

8. Ratios Ratios can show comparisons between: whole to part whole to red
whole to green
3 to 2

9. Ratios
Compare octagon to all shapes
1 out of 8
1 : 8
1/8
1 to 8

10. Ratios
Compare all shapes to trapezoid
8/1
8 to 1
8 : 1

11. Ratios
Compare pentagons to hexagons
2/3
2 to 3
2 : 3

12. Ratios in Simplest Form
A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor.
÷ 8
÷ 3 = =
÷ 8
÷ 3

13. Ratios Give each ratio in three forms. 8 roses out of 24 flowers
1 to 3
1 : 3
3 dogs out of 12 animals
1 to 4
1 : 4

14. Equivalent Ratios
You can multiply or divide numerator and denominator of a ratio to find and equivalent ratio
x 4
x 4

15. Equivalent Ratios
You can multiply or divide numerator and denominator of a ratio to find and equivalent ratio
x 4
x 4

16. Your Turn
Jason
÷ 2
<
÷ 2

17. Comparing Ratios Sophie
Like a fraction, you can compare ratios using decimals
Sofia completes ¾ of her passes. Mike completes 7 out of 10 passes. Who has the better record?
Sophie

18. Comparing Ratios
Like a fraction, you can compare ratios by finding equivalent fractions 5 20 4 10
x 2
x 2 5 20
< 8 20

19. Comparing Ratios
Like a fraction, you can compare ratios using the butterfly method 3 5
18 out of 30 90 90 3 5 = 18 30

20. > = Comparing Ratios Your turn… Choose a method 2 : 4 7 : 35 20 32
5 : 8

21. I can… Write ratios three different ways Write equivalent ratios
Compare ratios
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

22. Ratios 8.1 Notes This That This : That This to That
a comparison of two numbers by division written in several different forms
This
That
This : That
This to That
Ratios can be reduced
Equivalent ratios are just equivalent fractions
Ratios can be compared by converting to decimals