6.5. PROBLEM SOLVING Use Multiplication. Plan. Unlock the Problem. Math Talk. Essential Question. Name. Module 6 269
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1 ? Name 6.5 Essential Question PROBLEM SOLVING Use Multiplication Unlock the Problem Erica makes 6 submarine sandwiches and cuts each sandwich into thirds. How many 1_ -size sandwich pieces does she have? How can the strategy draw a diagram help you solve fraction division problems by writing a multiplication sentence? Number and Operations 5..J, 5..L MATHEMATICAL PROCESSES 5.1.A, 5.1.B Read What do I need to find? I need to find Solve Since Erica cuts 6 submarine sandwiches, my diagram needs to show 6 rectangles to represent the sandwiches. I can divide each of the 6 rectangles into thirds.. What information am I given? I need to use the size of each of Image Credits: FoodCollection/Superstock sandwich and the number of she cuts. Plan What is my plan or strategy? I can to organize the information from the problem. Then I can use the organized information to find So, Erica has _ one-third-size sandwich pieces.. To find the total number of thirds in the 6 rectangles, I can multiply the number of thirds in each rectangle by the number of rectangles. 6 1_ = 6 _ = _ Math Talk Mathematical Processes Explain how you can use multiplication to check your answer. Module 6 69
2 Try Another Problem Roberto is cutting blueberry pies into halves to give to his neighbors. How many neighbors will get a 1_ -size pie piece? Read Solve What do I need to find? What information am I given? Plan What is my plan or strategy? So, _ neighbors will get a 1_ -size pie piece. Explain how the diagram you drew for the division problem helps you write a multiplication sentence. 70
3 Name Share and Show 1. A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts each block into fourths. How many 1_ -pound pieces of butter does the chef have? First, draw rectangles to represent the blocks of butter. Then, divide each rectangle into fourths. Finally, multiply the number of fourths in each block by the number of blocks. So, the chef has _ one-fourth-pound pieces of butter. Write Math Show Your Work. What if the chef had blocks of butter and cut the blocks into thirds? How many 1_ -pound pieces of butter would the chef have? Problem Solving. Multi-Step Julie makes a drawing that is 1_ the size of the original drawing. Sahil makes a drawing that is 1_ the size of the original. A tree in the original drawing is 1 inches tall. What will be the difference between the height of the tree in Julie and Sahil s drawings?. Use Tools Brianna has a sheet of paper that is 6 feet long. She cuts the length of paper into sixths and then cuts the length of each of these 1_ 6 -pieces into thirds. How many pieces does she have? How many inches long is each piece? Module 6 Lesson 5 71
4 Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 5. A structure is made out of foam cubes that are each 1_ foot tall. The height of the structure is 8 feet. How many cubes were used to build the structure? A B C D cubes 16 cubes 8 cubes cubes 6. Use Diagrams Terrance needs to divide 9 by 1_. How can he find the quotient? A Draw 9 rectangles and divide each in halves. Count the halves. B Draw 9 rectangles and shade 1_ of each. Count the shaded parts. C Shade a rectangle to show 1_, and then divide the shaded part into 9 parts. Find the amount shaded. D Draw a rectangle with a length of 9 and a width of 1_. Find the area. 7. Multi-Step Dorothy has a ribbon that is feet long, and a ribbon that is 8 feet long. She needs to cut the ribbon into pieces that are 1_ foot long. How many pieces will she have in all? A B C D 1 pieces pieces 11 pieces pieces 7 TEXAS Test Prep 8. Adrian made carrot cakes. He cut each cake into fourths. How many 1_ -size cake pieces does he have? A 16 C 1 B 1 D 1 1 _
5 Homework and Practice Name Number and Operations 5..J, 5..L MATHEMATICAL PROCESSES 5.1.A, 5.1.B 6.5 PROBLEM SOLVING Use Multiplication 1. Julian wants to put a border around two sides of his rectangular shaped garden. He has a 1-foot piece of lumber that will be cut into 1_ -foot pieces. How many 1_ -foot pieces can Julian cut from the lumber?. The camp counselors bought a 6-pound bag of raisins for an afternoon snack for the campers. If the counselors package the raisins into 1_ 8 -pound individual servings, how many individual servings can they make?. Kim has 5 yards of denim. She cuts each yard of denim into thirds. How many 1_ -yard pieces of denim does she have?. If it takes Fran 1_ 5 of an hour to paint one section of the fence, how many sections can she paint in hours? Problem Solving 5. You plan to sell pumpkin pie slices at the fall festival. If you cut pies into 1_ 8 -size pieces, how many slices will you have to sell? Describe your strategy for solving the problem. 6. Marcel has 6 strips of paper. Each strip is 1 foot long. He folds each strip into 1_ -foot sections. Describe how you can draw a diagram to find the number of sections Marcel made when he folded the paper strips. Module Lesson 5 7
6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 7. The students in Mrs. Lester s fifth-grade class are planting seeds in individual pots. Mrs. Lester supplied 8 pounds of potting soil. If each pot holds 1_ pound of soil, how many pots can the students fill? A 1 B C Jake s Cafe receives a 10-pound delivery of ground beef each day. How many 1_ -pound hamburgers can Jake make each day? A 0 B 1 C D 0 D 6 9. Mrs. Miller is cutting pizzas into eighths for students. How many students will get a 1_ 8 -size slice of pizza? A B 8 C 16 D A home building company purchases acres of land and divides it into 1_ -acre plots for sale. How many 1_ -acre plots will be for sale? A 6 B C 1 D Multi-Step Cleo bought 10 feet of ribbon for costumes. He used feet of ribbon last week. He cut the remaining ribbon into 1_ 6 -foot pieces. How many pieces of ribbon does Cleo have? A 8 B Multi-Step Reese brought sandwiches for her school lunch. Each sandwich was cut into fourths. After she ate lunch, Reese has pieces of sandwich left. How many pieces did Reese eat? A 5 B 7 C 7 D 1 C D 1
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