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Delta Math and Science Partnership Initiative M 3 Summer Institutes (Math, Middle School, MS Common Core) Multiplication of Fractions

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Materials Needed Kit Kats Copy Paper Grid Paper Adding Machine Tape Colored pencils

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Jeya brings a Kit Kat to school. She decides to eat ¼ of it. Her best friend Bailey asks for a piece, so Jeya gives her ½ of the piece that she intends to eat. How much of the Kit Kat does Bailey receive? Use your bar to find the solution. Consider the following Problem

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Jeya has… of Jeya’s Kit Kat she intends to eat 1 Kit Kat If Jeya gives Bailey ½ of the piece that she intends to eat, how much of the Kit Kat does Bailey receive? Let’s Look at the Model Jeya’s halfBailey’s half

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You have ¾ of a pizza left. If you give ⅓ of the leftover pizza to your friend, how much of a whole pizza will your friend get? Consider the following Problem

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Kierra and Danielle climb a rock wall. Kierra climbs ½ of a rock wall’s height. Danielle climbs ⅔ of Kierra’s distance. What fraction of the total height does Danielle climb? Use a model. Consider the following Problem So… Danielle climbs of the total height.

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The Cleveland Park Commission offers a rock-climbing class for children ages 8-17. In one session, ⅘ of the students are 12 years old. Of the 12-year-old students, ¼ are from Merigold. What fraction of the students are 12 years old and from Merigold? Another Example

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Look at the two factors and the product in each problem. Compare the numerator and denominator of the product with the numerators and denominators of the factors. What relationship do you see? factor product

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A student skis 3 ½ miles in an hour. An instructor can ski 1 ⅓ times as far in an hour. How far does the instructor ski in an hour? Problems Involving Mixed Numbers

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A painting is 1 ¾ feet by feet. What will a copy of the painting be if its length and width are 1 ⅝ the size of the original? More

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Heather is helping out at Sunshine Preschool. At noon, she notices that ½ of the children are missing. When she calls for them, ½ of the missing children return to the room. But as soon as Heather turned her back, ½ of the children in the room left again. Of those who remain in the room, ½ are playing with blocks, ⅓ play with the dress-up clothes, and the rest looked at books. If just one child is looking at a book, how many children were in the room before noon? Homework

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Dividing Fractions.

Dividing Fractions.

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