Example 1 Use a model to write the product of

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1 Name Multiples of Fractions Essential Question How can you write a product of a whole number and a fraction as a product of a whole number and a unit fraction? Lesson. Numbers and Operations Fractions.NF.B.b Also.NF.B.c MATHEMATICAL PRACTICES MP, MP, MP Unlock the Problem Jen is making pans of baked ziti. For each pan, she needs _ cup cheese. Her measuring cup can scoop _ cup of cheese. How many scoops of cheese does she need for the pans? _ Example Use a model to write the product of as the product of a whole number and a unit fraction. Think: _ is third-size parts. = _ + _ or _. There are pans of baked ziti. Each pan needs _ cup cheese. pan: = pans: = = Image Credits: (r) Houghton Mifflin Harcourt = _ = _ = pans: = = pans: = = So, Jen needs _ third-size scoops of cheese for pans of ziti.. What if Jen decides to make 0 pans of ziti? Describe a pattern you could use to find the number of scoops of cheese she would need. Math Talk MATHEMATICAL PRACTICES Identify Relationships Explain how this model of _ is related to a model of. Chapter

2 Multiples You have learned to write multiples of unit fractions. You can also write multiples of non-unit fractions. Example Use a number line to write multiples of _. Think: Multiply _ by counting numbers. 0 Multiples of _ are _,,,, and. =. Write as a product of a whole number and a unit fraction. 0 = = _ _. Explain how to use repeated addition to write the multiple of a fraction as the product of a whole number and a unit fraction. Share and Show MATH BOARD. Write three multiples of _. _ = _ _ = _ _ = _ 0 Multiples of _ are _,_, and _. 0

3 Name List the next four multiples of the fraction.. _,,,,. 0,,,, Write the product as the product of a whole number and a unit fraction _ = On Your Own List the next four multiples of the fraction. _ = Math Talk. _,,,,. _,,,, MATHEMATICAL PRACTICES Use Reasoning Explain how to write a product of a whole number and a fraction as a product of a whole number and a unit fraction. Write the product as the product of a whole number and a unit fraction _ = _ = 0. MATHEMATICAL PRACTICE of 0? Explain. Use Repeated Reasoning Are 0 and 0 multiples. DEEPER Which is greater, _ or _? Explain. Chapter Lesson

4 Unlock the Problem. SMARTER Josh is watering his plants. He gives each of plants _ pint of water. His watering can holds _ pint. How many times will he fill his watering can to water both plants? a. What do you need to find? b. What information do you need to use? c. How can drawing a model help you solve the problem? d. Show the steps you use to solve the problem. WRITE Math Show Your Work e. Complete the sentence. Josh will fill his watering can _ times. Personal Math Trainer. SMARTER Alma is making batches of tortillas. She adds _ cup of water to each batch. The measuring cup holds _ cup. How many times must Alma measure _ cup of water to have enough for the tortillas? Shade the model to show your answer. Alma must measure _ cup times. Image Credits: (r) Houghton Mifflin Harcourt

5 Name Multiples of Fractions List the next four multiples of the fraction. Practice and Homework Lesson. COMMON CORE STANDARD.NF.B.a Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers..,,,,.,,,, Write the product as the product of a whole number and a unit fraction = = Problem Solving. Jessica is making loaves of banana bread. She needs _ cup of sugar for each loaf. Her measuring cup can only hold _ cup of sugar. How many times will Jessica need to fill the measuring cup in order to get enough sugar for both loaves of bread?. A group of four students is performing an experiment with salt. Each student must add _ teaspoon of salt to a solution. The group only has a _ -teaspoon measuring spoon. How many times will the group need to fill the measuring spoon in order to perform the experiment?. WRITE Math Explain how to write _ whole number and a unit fraction. as the product of a Chapter

6 Lesson Check (.NF.B.b). Eloise made a list of some multiples of _. Write fractions that could be in Eloise s list.. David is filling five _ -quart bottles with a sports drink. His measuring cup only holds _ quart. How many times will David need to fill the measuring cup in order to fill the bottles? Spiral Review (.NBT.B.,.OA.A.,.NF.B.c,.NF.A.). Ira has stamps in his stamp album. He has the same number of stamps on each of the pages. How many stamps are on each page?. Ryan is saving up for a bike that costs $. So far, he has saved $ per week for the last weeks. How much more money does Ryan need in order to be able to buy the bike?. Tina buys _ yards of material at the fabric store. She uses it to make a skirt. Afterward, she has _ yards of the fabric leftover. How many yards of material did Tina use?. Order these fractions from least to greatest: _,, _ FOR MORE PRACTICE GO TO THE Personal Math Trainer