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Multiplication of Fractions

Delta Math and Science Partnership Initiative M 3 Summer Institutes (Math, Middle School, MS Common Core). Multiplication of Fractions. Materials Needed. Kit Kats Copy Paper Grid Paper Adding Machine Tape Colored pencils. Consider the following Problem.

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Multiplication of Fractions

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  1. Delta Math and Science Partnership InitiativeM3 Summer Institutes(Math, Middle School, MS Common Core) Multiplication of Fractions

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

  3. Consider the following Problem Jeyabrings 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.

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

  5. Consider the following Problem 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?

  6. Consider the following Problem Kierra and Danielle climb a rock wall. Kierraclimbs 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. So… Danielle climbs of the total height.

  7. Another Example The Cleveland Park Commission offers a rock-climbing class for children ages 8-17. In one session, ⅘of 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?

  8. 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 factor product

  9. Problems Involving Mixed Numbers 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?

  10. More 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?

  11. Homework 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?

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