# Ratios Continued - PowerPoint PPT Presentation

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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?.

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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

### Direct Station

• We will do ratio and percent word problems.

### Collaborative Station

• 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.

### Collaborative Station Example

• 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.

### Independent Station

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