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Multiplying Fractions

Multiplying Fractions. How can you represent your understanding of multiplying fractions with manipulative, pictures and numbers? . Problem Solving.

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Multiplying Fractions

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  1. Multiplying Fractions How can you represent your understanding of multiplying fractions with manipulative, pictures and numbers?

  2. Problem Solving • Pretend you are a manufacturing company in charge of creating special mini pencils. The pencils cannot exceed 2 inches because the box is only 2 inches in length. Will your group’s pencils fit into one box? • * 1 unifix cube = 1/2 inch • Create a number sentence that relates to this problem. • Draw what this looks like.

  3. ME! • In a relay race, each runner runs ½ of a lap. If there are 6 team members how many laps did the team run? • Create a number sentence to represent the problem. • Draw a picture to show what it looks like. 1/2 6 x 1/2 1/2 1/2 1/2 1/2 1/2 2 0 1 3

  4. ME Continued! • In a relay race, each runner runs ½ of a lap. If there are 6 team members how many laps did the team run? • Create a number sentence to represent the problem. • Draw a picture to show what it looks like. 1/2 6 x 1/2 + 6/2 1/2 + 1/2 + 1/2 + 1/2 + 1/2 =

  5. WE! Jessica celebrates her birthday. She cuts her cake into eighths. There are 4 people at Jessica’s party. Each person receives one slice of cake. How much cake is served at the party? 1/8 x 4 • Create an addition number sentence to represent the problem. • Draw a picture to show what it looks like.

  6. Multiplying Fractions How can you represent your understanding of multiplying fractions with manipulative, pictures and numbers?

  7. Few Review! Michelle poured 3 containers of water into her fish tank, and each container held 1/6 of a quart of water. How much water did she put into her fish tank? Marshall spent 1/3 of his time at his cousin's house playing outside. If he was there for 9 hours last week, how many hours did he play outside?

  8. Me! Brisa is sharing taffy with 6 of her BFFS. If Brisa and each friend got 1/5 of the total amount of candy, how many bars of taffy did Brisa share? 1/5 +1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 1/5 x 7 =

  9. Me! Brisa is sharing taffy with 6 of her BFFS. If Brisa and each friend got 1/5 of the total amount of candy, how many bars of taffy did Brisa share? 7/5 1/5 +1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 1/5 x 7 = 7/5 2 5 12 5 1 5 2 5 3 5 4 5 5 5 6 5 7 5 1 Whole

  10. We! At Emanuel’s birthday party his parents bought 11 different pizzas. His guests ate 1/6 of each of the pizzas. How many of his 11 pizzas did the guest eat? • Write a multiplication and addition number sentence. • Use manipulative to help you convert to a mixed number. • Draw an area model, number line and picture to represent

  11. Few! Ms. Williams’ class is playing kickball against Mrs. Garren’s class. If 11 of Ms. Williams’ students run 3/4 of the bases how many times did our class make it to home base. What fraction of bases are needed to score another point? If 14 of Mrs. Garren’s students run 2/4 of the bases how many times did her class make it to home base. Which class won the game? By how many points (fractions included)? • Write a multiplication and addition number sentence. • Use manipulative to help you convert to a mixed number. • Draw an area model, number line and picture to represent

  12. You! Heather bought 12 plums and ate 3/4 of them. Paul bought 12 plums and ate 9/12 of them. Which statement is true? Draw a model to explain your reasoning. a. Heather ate 4 plums and Paul ate 3 plums. b. Heather ate 3 plums and Paul ate 4 plums. c. Heather and Paul ate the same number of plums. d. Heather had 9 plums remaining.

  13. Multiplying Fractions How can you represent your understanding of multiplying fractions with manipulative, pictures and numbers?

  14. Prove It 3 x 2/3 = 6 x 1/3 Is this true? Explain in writing how you would go about solving this problem. Follow your instructions to create a pictorial representation.

  15. Tips: Convert mixed numbers to improper fractions Create a multiplication sentence Decide how to represent. Me! If a bucket holds 2 ¾ gallons of water and it takes 43 buckets to fill my fish tank. How many gallons of water does my tank hold?

  16. Tips: Convert mixed numbers to improper fractions Create a multiplication sentence. Decide how to represent. We! Ms. Williams is baking muffins for the class breakfast tomorrow. If each student eats 3 ½ muffins how many muffins will I have to bake if all 16 students are present?

  17. Few! Leslie and Zy’Reayanna are having a swinging contest. Leslie counts that she has went into the air 21 time. Zy’Reayanna brags that she went into the air 4 2/3 times more than Leslie. How many times did Zy’Reayanna swing into the air? Deshawn is filling his secret stash with candy. If his trick-or-treat bag holds 2 4/6 pounds of candy and it takes 13 bags to fill his secret stash. How many pounds of candy does his secret stash hold?

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