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Ratios Continued

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Ratios Continued

- What is the ratio of buttons to paper clips?
- This means that there are 6 buttons and 4 paper clips.
- But is there another way to compare the numbers of buttons and paper clips?

- By dividing the objects into two equal groups, we see that every time there are 3 buttons, there are 2 paper clips.
- Therefore, another way to write the ratio of buttons to paper clips would be

- What if we doubled the amount of each object?
- Now there are 12 buttons and 8 paper clips. Would the ratio be equivalent to the ratio ?

- Yes, whenever there are 6 buttons there are 4 paper clips. So is equivalent to

- We have shown that , , and are all equivalent ratios.
- What do they have in common?

- Just like with fractions, we are allowed to multiply or divide both parts by the same number.

- How can ratios be changed?
- There are 18 bats and 15 frogs. What is the ratio of bats to frogs?

- There are 10 bottles and 5 cans. Write the ratio of cans to bottles in 3 different ways.
(Don’t write the same ratio in 3 forms, write different ratios with different numbers)

- Out of 100.
- Find an equivalent fraction with a denominator of 100. The numerator will be the percent.

- What does percent mean?
- What is 87% as a fraction?
- How can we easily turn some fractions into percents?

- 56%

- Convert into percent

- 42%
- 30%
- 60%

- Convert into percent
- Convert into percent
- Convert into percent

- We will do ratio and percent word problems.

- We will be playing a ratio version of I Spy.
- There will be a picture with many different objects in it.
- Partner A picks two objects and says their ratio. “I spy two objects with a ratio of 2 to 1.”
- Partner B (and C) try to guess what two objects Partner A was thinking of.
- Once the objects are correctly guessed, write down the ratio on your work paper and have the next person pick two objects.

- Partner A: “I spy two objects with a ratio of 3 to 1.”
- Partner B: “Is it the ratio of candles to snowmen?”
- Partner A: “No, even though that ratio is also 3 to 1, I was thinking of different objects.”
- Partner B: “Is it the ratio of gingerbread men to snowmen?”
- Partner A: “Yes!”
- Everyone writes down “The ratio of gingerbread men to snowmen is 3 to 1.” on their papers.
- Now it’s Partner B’s turn to pick.

- We will now switch to ST Math’s unit on Ratios