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Compare Unit Fractions With Different Sized Models Representing the Whole.

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15 60 45 30

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quarter past Hour quarter ‘til half past

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1 1 /2 3 /2 1 /3 2 /3 4 /3 5 /4 9 /10 11 /6

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Rachel, Sylvia and Lola each receive the same homework assignment, but they only complete part of it. Rachel completes ⅙ of her homework. Sylvia completes ½ of her homework. Lola completes ⅓ of her homework. Write the amount of homework each girl completes from least to greatest. Draw a picture to prove your answer. RachelSylviaLola ½ ⅓ ⅙ Sylvia did the most homework because ½ is the largest fraction of the assignment.

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1 is the same as 1. Thumbs up if you agree. Here is 1 liter of soda and 1 can of soda. Is 1 still the same as 1? The liter bottle holds more, so it is a larger whole than the can of soda. How MANY we have is the same (1), but how MUCH we have is different.

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Let’s explore how MANY versus how MUCH using fractions: Let’s say you and your brother both have a glass of juice this morning. How full is your glass? How full is your brother’s glass?

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True or False: ½ is larger than ¼, so your brother drank the most juice. False: The containers aren’t the same size so we can’t accurately compare the amount of juice.

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Can I accurately compare the fractions in these two figures? Why or Why Not?

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What about these two? Yes; these two figures can be compared because they are the same shape and size.

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What about these two? Yes; these two figures can be compared because they are the same shape and size.

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What fractions do they show? Which fraction is greater? 1/3 is greater than 1/6

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Problem Set Everything is different … … Now that I know fractions!

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