Fraction and Whole-Number Division. How can you divide unit fractions by whole numbers and whole numbers by unit fractions? .

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$? Name 6.6 Essential Question Fraction and Whole-Number ivision How can you divide unit fractions by whole numbers and whole numbers by unit fractions? Number and Operations 5..J, 5.$

1 ? Name 6.6 Essential Question Fraction and Whole-Number ivision How can you divide unit fractions by whole numbers and whole numbers by unit fractions? Number and Operations 5..J, 5..L MTHEMTIL PROESSES 5..E, 5..F Unlock the Problem Three friends share a -pound block of fudge equally. What fraction of a pound of fudge does each friend get? ivide. _ Let the rectangle represent a -pound block of fudge. ivide the rectangle into fourths and then divide each fourth into three equal parts. The rectangle is now divided into _ equal parts. When you divide one fourth into equal parts, you are finding one of three equal parts or of. Shade of. The shaded part is _ of the whole rectangle. = _ So, each friend gets _ of a pound of fudge. Example rad has 9 pounds of ground turkey to make turkey burgers for a picnic. How many -pound turkey burgers can he make? ivide. 9 _ raw 9 rectangles to represent each pound of ground turkey. ivide each rectangle into thirds. Math Talk Mathematical Processes Will the number of turkey burgers be less than or greater than 9? Explain. Houghton Mifflin Harcourt Publishing ompany When you divide the _ rectangles into thirds, you are finding the number of thirds in 9 rectangles or finding 9 groups of _. There are _ thirds. omplete the number sentence. So, rad can make _ one-third-pound turkey burgers. 9 = _ _ = _ Module 6 75

2 Share and Show. Use the model to complete the number sentence.. Use the model to divide. _ = _ = _ 6 = _ Problem Solving ivide.. 5 _. _ _ 5 9. Write Math ommunicate escribe how the model shows that dividing by is the same as multiplying by. _ = = 0. escribe how the model shows that dividing by is the same as finding of. 76 = _ Houghton Mifflin Harcourt Publishing ompany

Name Unlock the Problem. Multi-Step The slowest mammal is the three-toed sloth. The top speed of a three-toed sloth on the ground is about foot per second.

0 seconds 0 seconds 0 seconds 70 seconds a. What do you need to find? b. What operations will you use to solve the problem? c. Show the steps you used to solve the problem. d. omplete the sentences.

3 Name Unlock the Problem. Multi-Step The slowest mammal is the three-toed sloth. The top speed of a three-toed sloth on the ground is about foot per second. The top speed of a giant tortoise on the ground is about foot per second. How much longer would it take a three-toed sloth than a giant tortoise to travel 0 feet on the ground? 0 seconds 0 seconds 0 seconds 70 seconds a. What do you need to find? b. What operations will you use to solve the problem? c. Show the steps you used to solve the problem. d. omplete the sentences. three-toed sloth would travel 0 feet in _ seconds. giant tortoise would travel 0 feet in Houghton Mifflin Harcourt Publishing ompany Image redits: vasa/lamy Images _ seconds.. Robert divides cups of almonds into -cup servings. How many servings does he have? Since _ _ = _, it would take a three-toed sloth _ seconds longer to travel 0 feet. e. Fill in the bubble for the correct answer choice. Module 6 Lesson 6 77

4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer.. Your friend asks you to watch his iguana. He gives you pound of food for days. He tells you if you feed the iguana the same amount each day, you will have no food left over. How much food should you feed the iguana each day? 7 pound 7 pounds pounds _ pound. Representations Jake modeled a division problem. Which problem does his model represent? 6 = 6 = 6 = _ 6 = 5. Multi-Step Five people are going to share gallon of juice. fter the juice is poured equally, Sheila gives her glass to Maria. How much juice does Maria have? _ 0 gal 6 gal _ 0 gal _ 0 gal 7 TEXS Test Prep 6. Tina cuts yard of fabric into equal parts. What is the length of each part? yards _ yards yards _ yard Houghton Mifflin Harcourt Publishing ompany

Homework and Practice Name Number and Operations 5..J, 5..L MTHEMTIL PROESSES 5..E, 5..F 6.6 Fraction and Whole-Number ivision ivide.. 6 _. _. _ 9. 7 _ 5. _ 6. _ 7. 9 _. _ 7 9. 0 _ 5 0. 5 _ 5. _ 5. _ 9 5 Problem Solving.

5 Homework and Practice Name Number and Operations 5..J, 5..L MTHEMTIL PROESSES 5..E, 5..F 6.6 Fraction and Whole-Number ivision ivide.. 6 _. _. _ 9. 7 _ 5. _ 6. _ 7. 9 _. _ _ _ 5. _ 5. _ 9 5 Problem Solving. ooks at a food booth at the state fair made an extra-large -foot long burrito. If they cut the burrito into -foot servings, how many people will the extra-large burrito serve?. serving of the burrito contains pound of meat. Franklin and two friends share his serving equally. How much meat does each friend get? Houghton Mifflin Harcourt Publishing ompany Module 6 Lesson 6 79

6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 5. Toby used the model below to help him divide. 6. Which model shows the solution for? Which problem was he trying to solve? _ 6 6 _ 6 _ 6 7. nalise cuts yard of rope into equal parts. What is the length of each part? _ 6 yard _ 0 yard _ yard _ 6 yard. The dragon costume for the new year celebration is 9 yards long. If rittany sews a button on each yard section, how many 6 buttons will she sew? Multi-Step Ruby has a collection of 6 stuffed animals. She gives of her collection to her younger brother. Then she gives half of the remaining animals to her baby sister. How many animals does Ruby give her sister? 0. Multi-Step hmad and Kiera are mixing paints for the students in their art class. They mix pints of blue paint, pints of white paint, and pint of green paint. How many -pint containers can they fill with the mixed paint? Houghton Mifflin Harcourt Publishing ompany

7 Name oncepts and Skills. Explain how you would model 5 _. q TEKS 5..I Module 6 ssessment ivide. Use a model. q TEKS 5..J, 5..L. = _. = _. = _ 5. = _ 6. 6 = _ 7. = _ Find the product. Write the product in simplest form. Use a model. q TEKS 5..I. _ 6 9. _ _ _. 7 Houghton Mifflin Harcourt Publishing ompany Module 6

8 Fill in the bubble completely to show your answer.. Michelle cuts yard of ribbon into equal pieces. What is the length of each piece? q TEKS 5..J, 5..L TEXS Test Prep _ 6 yard 6 yards yard yard 5. Holly had 0 pencils. She gave 6 pencils to her friends. Three-eighths of her remaining pencils need to be sharpened. How many of Holly s pencils need to be sharpened? q TEKS 5..I aleb and friends are sharing quart of milk equally. What fraction of a quart of milk does each person get? q TEKS 5..L _ quart _ quarts quart 6 quart 7. Thomas makes 5 sandwiches that he cuts into thirds. How many -size sandwich pieces does he have? q TEKS 5..L _ 5 Houghton Mifflin Harcourt Publishing ompany

$) Vocabulary common denominator common multiple oncepts and Skills Use a common denominator to write an equivalent fraction for each fraction. q TEKS 5.. _ 5, common denominator: _.$ _, common denominator: _. _, 6 common denominator: _ Find the sum or difference. Write your answer in simplest form. q TEKS 5..K 5. 5_ 6 + 5 _ 6. _ _ 5 7.

_, common denominator: _. _, 6 common denominator: _ Find the sum or difference. Write your answer in simplest form. q TEKS 5..K 5. 5_ 6 + 5 _ 6. _ _ 5 7.

9 Name Unit ssessment Vocabulary hoose the best term from the box.. _ is a number that is a multiple of two or more numbers. (p. ) Vocabulary common denominator common multiple oncepts and Skills Use a common denominator to write an equivalent fraction for each fraction. q TEKS 5.. _ 5, common denominator: _. _, common denominator: _. _, 6 common denominator: _ Find the sum or difference. Write your answer in simplest form. q TEKS 5..K 5. 5_ _ 6. _ _ _ Find the product. Write the product in simplest form. Use a model. q TEKS 5..I. _ 5 = 9. 0 = 0. 5_ 7 5 =. 5_ 6 =. 5 0 =. 7 6 = Houghton Mifflin Harcourt Publishing ompany ivide. Use a model or strategy. q TEKS 5..J, 5..L. = _ 5. 5 = _ 6. = _ Unit

10 Fill in the bubble completely to show your answer. 7. Natasha bought pound of green grapes and _ pound of red grapes. pound of the grapes. What is the total amount of grapes She ate Natasha has left? q TEKS 5..K TEXS Test Prep pound 5 pound _ 7 pound 6 pound. shton picked 6 pounds of pecans. He used of the pecans in a soup recipe. shton puts the pecans that are left in -pound bags. How many bags of pecans does he have? q TEKS 5..I, 5..L 6 9. Isabella has She then adds into q TEKS 5..K, 5..L cups of granola and adds cups of raisins. cups of almonds to the mix. She divides the mix -cup servings. How many -cup servings does she have? 0. Melvin walked 5_ mile to the library. He then walked 0 mile from the library to the store. bout how far did Melvin walk? q TEKS 5.. about miles about mile about mile about miles Houghton Mifflin Harcourt Publishing ompany

11 Fill in the bubble completely to show your answer.. Mrs. Friedmon baked a walnut cake for her class. The models below show how much cake she brought to school and how much she had left at the end of the day. TEXS Test Prep efore School fter School Which fraction represents the difference between the amounts of cake Mrs. Friedmon had before school and after school? q TEKS 5..H, 5..K 5_ 5 _. Julie spends _ hour studying on Monday and 6 hour studying on Tuesday. How many hours does Julie study on those two days? q TEKS 5..H, 5..K hour _ 5 hour 5_ 6 hour hour 6. chef makes different quiches as the special of the day. t the end of day, each dish had _ of the quiche left. How much quiche was bought in all? q TEKS 5..I Houghton Mifflin Harcourt Publishing ompany _ 5_ 5_ Unit 5

12 . Paulo had feet of red twine. He had 5 feet of blue twine. He used some twine to make a craft. He has feet of twine left. How much twine did Paulo use for his craft? q TEKS 5..K TEXS Test Prep feet _ feet 5 7 feet 9 feet 5. Which property or properties does the problem below use? q TEKS 5..H ( _ + _ 5 ) + = _ 5 + ( _ + ) ommutative Property and Identity Property ssociative Property and istributive Property ommutative Property and ssociative Property istributive Property 6. Li cuts foot of ribbon into equal parts. What is the length of each part? q TEKS 5..J, 5..L feet foot _ 9 foot Not Here 7. raw a diagram and write a story problem to represent 6 5. q TEKS 5..J 6 Houghton Mifflin Harcourt Publishing ompany

Use Properties of Addition. How can properties help you add fractions with unequal denominators? _ 8 )

$Use Properties of Addition. How can properties help you add fractions with unequal denominators? _ 8 )$ ? Name. Essential Question Use Properties of ddition How can properties help you add fractions with unequal denominators? Number and Operations..H MTHEMTIL PROESSES.1. onnect You can use properties of