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Ratios Continued

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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  1. Ratios Continued

  2. 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?

  3. 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

  4. 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 ?

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

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

  7. 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?

  8. 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)

  9. 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?

  10. 56% • Convert into percent

  11. 42% • 30% • 60% • Convert into percent • Convert into percent • Convert into percent

  12. Direct Station • We will do ratio and percent word problems.

  13. 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.

  14. 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.

  15. Independent Station • We will now switch to ST Math’s unit on Ratios

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