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1 Page 1 1. Tommy has jars of marbles. Each jar is _ filled with marbles. How many full jars of marbles does Tommy have? Shade the model and complete the calculations below to show how you found your answer. jars of marbles. Stacey worked on her garden for _ hours. Josh worked on his garden _ times as long as Stacey. Vicki worked on her garden 1 _ 8 times as long as Stacey. For numbers a d, select True or False for each statement. a. Stacey worked longer on her True False garden than Josh worked on his garden. b. Stacey spent less time working True False on her garden than Vicki spent on her garden. c. Josh worked longer on his garden True False than Vicki worked on her garden. d. Vicki worked longer on her garden True False than Stacy and Josh combined.. The Gilberts are designing a rectangular patio. The patio has an area of square feet. The width of the patio is _ its length. What is the length of the patio? feet GO ON 19 7-

2 Page. Jesse surveyed _ of the students at her school. Of those surveyed, _ participate in a school club or sports team. According to Jesse's survey, what fraction of the students participate in a school club or sports team? For numbers a d, select the correct values to describe how to solve the problem. a. Draw a rectangular array with rows and b. Shade 1 of the rows gray. columns. c. Shade of the gray squares black. 6 d. According to Jesse's survey, sports team. 1 8 of the students participate in a school club or. Tien bought 1 books. Two-thirds of the books are science fiction. How many of the books are science fiction? Draw a model to show how you found your answer. science fiction books 6. Jessica rides the bus 8 _ miles each day. Which statements correctly describe how far she rides the bus? Mark all that apply. A Jessica rides the bus 1_ miles in days. B Jessica rides the bus 61 _ miles in 7 days. C Jessica rides the bus 88 miles in 10 days. D Jessica rides the bus 18 _ miles in days GO ON

3 Page 7. Write each multiplication expression in the correct box Product is equal to. Product is greater than. Product is less than. 8. A rug has an area of 8 square feet. Two similar rugs have areas of 108 square feet and 19 square feet. In each rug, the length is 1 1_ times the width. Which of the following could be the dimensions of one of the rugs? Mark all that apply. A 6 feet by 8 feet B 10 feet by 18 feet D 1 feet by 16 feet E feet by 1 feet C 9 feet by 1 feet 9. In a fifth-grade class, _ of the students like to go to the movies. Of the students who like to go to the movies, _ of them like action movies. Of the students who like to go to action movies, _ of them also like comedies. Part A What fraction of the students in the class like to go to action movies? Part B of the students What fraction of the students in the class like to go to action movies and comedies? Explain how you found your answer. of the students GO ON

4 Page 10. A farmer s field has the dimension shown. He needs to find the area of the field so that he knows how much seed to buy. Complete the area model below to find the area of the field. 1 km 1 1 km 1 area of the field = square kilometers 11. It took Mary Lou _ 6 hour to write a report for English class. It took Heather 9 10 as much time to write her report as it took Mary Lou. For numbers 11a 11c, select Yes or No to answer each question. 11a. Did Mary Lou and Heather Yes No take the same amount of time to write their reports? 11b. Did Mary Lou spend more Yes No time writing her report than Heather? 11c. Did it take Heather _ write her report? hour to Yes No 1. Andrea bought 1 bagels and 10 muffins at the bakery. Of these items, _ of the bagels were multigrain, and _ of the muffins were bran muffins. 1a. How many multigrain bagels did Andrea buy? multigrain bagels 1b. How many bran muffins did Andrea buy? bran muffins GO ON

5 Page 1. The table shows how many bags of canned goods each class collected during the first week of a food drive. Class Bags of Canned Goods th Graders 1 _ th Graders _ 6 th Graders 1 _ Next week the th graders hope to collect 1 1_ times as many bags of canned goods as the first week. The th graders goal is to collect 1 _ as many bags of canned goods as they collected in week 1. The 6 th graders hope to collect 1 1_ as many bags of canned goods. Match each class to the number of bags of canned goods they hope to collect next week. Class Next Week s Goal (bags) th Graders 1 16 th Graders 7 _ 8 6 th Graders _ 1. Hannah is tiling a section of her bathroom wall with tiles that are 1_ foot by 1_ foot. The section of the wall is 1_ feet tall and 1_ feet wide. Part A Let each square of the grid below represent 1_ foot by 1_ foot. Draw a rectangle on the grid to represent the section of wall. Part B What is the area of the section of wall? Explain how you found your answer. square feet GO ON

6 Page 6 1. Mr. Enders conducted a survey and found that _ of his students play a team sport and 1_ of those students play basketball. What fraction of his students play basketball? Write a number from the number tiles in each box to complete the calculations shown below. You may use numbers more than once or not at all. 1 = = = of his students 16. Katrina is using the recipe below to make vegetable soup. She plans to make 8 batches of the soup. She has 6 pounds of potatoes. onions, chopped carrots, diced celery stalks, diced 1 _ cups diced tomatoes Vegetable Soup Recipe _ pound potatoes, diced 1_ cup each green beans, corn, peas -oz containers beef stock 1 teaspoon salt Part A Write an expression that Katrina can use to determine how many pounds of potatoes are needed for 8 batches. Part B Draw a model to show how Katrina can find the product from Part A. Part C Does Katrina have enough potatoes for 8 batches of the soup? Explain your reasoning. STOP

7 Chapter 7 Hours of Sound Vijay loves music and listens to his favorite songs on his MP player. 1. Vijay has hours of music on his MP player. Jazz makes up 1_ 6 of the total time. a. How many hours of jazz are on Vijay s MP player? Show your work. b. Are there more than or less than 60 minutes of jazz on Vijay s MP player? Explain how you know. c. _ of the jazz is by musicians from New Orleans. How many hours of New Orleans jazz does Vijay have? Show your work.. On Vijay s MP player, _ 6 of the hours of music is rock and hip-hop. a. How many hours of rock and hip-hop does Vijay have? b. Vijay s sister Miranda says 1 18 of the hours of music is rock and hip-hop. Is she correct? Explain how you know Chapter 7 Performance Task

8 . Vijay plans to reorganize the music on his MP player. After the changes he is planning, he will have _ times as many hours of rock and hip-hop music on his MP player. a. Is Vijay planning to add or remove rock and hip-hop music from his MP player? Explain how you know. b. How many hours of rock and hip-hop will Vijay have after he makes the changes? Show your work.. The front face of Vijay s MP player is a rectangle that is 1 _ inches long. The width is 7 _ 8 of the length. What is the area of the front face of the MP player? Show your work Chapter 7 Performance Task

9 Multiply Fractions Hours of Sound Chapter 7 COMMON OBJECTIVES CORE STANDARDS.NF.B..NF.B.6 MP1 Interpret multiplication as scaling (resizing), by: a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a_ b n? a to the effect of n? b multiplying a_ by 1. b Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Make sense of problems and persevere in solving them. Also.NF.B., MP7 PURPOSE To assess the ability to write and evaluate expressions that involve multiplication with fractions and mixed numbers, and to state the relationship between the sizes of factors and products of those expressions TIME 0 minutes GROUPING Individuals MATERIALS Performance Task, paper, pencil Printed grids to model fraction multiplication (optional) PREPARATION HINTS Review writing mixed numbers as fractions before assigning the task. Review vocabulary, including mixed number, width, and length. IMPLEMENTATION NOTES Read the task aloud to students and make sure that all students have a clear understanding of the task. Students may use manipulatives to complete the task. Allow students as much paper as they need to complete the task. Allow as much time as students need to complete the task. Students must complete the task individually, without collaboration. Collect all student work when the task is complete Chapter 7 Performance Task

10 TASK SUMMARY Students will multiply with fractions and mixed numbers. REPRESENTATION In this task, teachers can Activate or supply background information by asking students to describe relevant real-world technologies. ACTION and EXPRESSION In this task, teachers can Offer students grids they can shade to model fraction multiplication. Provide a graphic organizer to help students manage information about the relationships between the sizes of factors and products. ENGAGEMENT In this task, teachers can Show students strategies to manage frustration, such as deep breathing and seated stretching. EXPECTED STUDENT OUTCOMES Complete the task within the time allowed Reflect engagement in a productive struggle Apply multiplication with fractions and mixed numbers to represent and solve word problems SCORING Use the associated Rubric to evaluate each student s work. 7-0 Chapter 7 Performance Task

11 Performance Task Rubric HOURS OF SOUND A level response Indicates the student has made sense of the task and persevered Shows ability to multiply with fractions and mixed numbers Demonstrates ability to relate the size of the product to the sizes of the factors Applies multiplication of fractions appropriately to solve word problems A level response Indicates the student has made sense of the task and persevered Shows ability to multiply with fractions and mixed numbers Demonstrates ability to relate the size of the product to the sizes of the factors Applies multiplication of fractions appropriately to solve word problems Addresses most or all aspects of the task with the use of mathematically sound procedures May include an incorrect answer derived from a correct procedure A level 1 response Shows that the student has made sense of at least some components of the task Shows some ability to multiply with fractions Shows uneven ability to multiply with mixed numbers May show an inability to relate the size of the product to the sizes of the factors A level 0 response Shows little evidence that the student has made sense of the task Reflects a lack of understanding of a fraction as part of a whole Reflects a lack of understanding of a mixed number as the sum of a whole number and a fraction Shows little evidence of addressing the components of the task 0 7- Chapter 7 Performance Task

12 Page 1 1. Tommy has jars of marbles. Each jar is _ filled with marbles. How many full jars of marbles does Tommy have? Shade the model and complete the calculations below to show how you found your answer _ jars of marbles. Stacey worked on her garden for _ hours. Josh worked on his garden _ times as long as Stacey. Vicki worked on her garden 1 _ 8 times as long as Stacey. For numbers a d, select True or False for each statement. a. Stacey worked longer on her True False garden than Josh worked on his garden. b. Stacey spent less time working True False on her garden than Vicki spent on her garden. c. Josh worked longer on his garden True False than Vicki worked on her garden. d. Vicki worked longer on her garden True False than Stacy and Josh combined.. The Gilberts are designing a rectangular patio. The patio has an area of square feet. The width of the patio is _ its length. What is the length of the patio? feet GO ON 0 7-

13 Page. Jesse surveyed _ of the students at her school. Of those surveyed, _ participate in a school club or sports team. According to Jesse's survey, what fraction of the students participate in a school club or sports team? For numbers a d, select the correct values to describe how to solve the problem. a. Draw a rectangular array with rows and b. Shade 1 of the rows gray. columns. c. Shade 6 of the gray squares black. 1 d. According to Jesse's survey, sports team. 8 of the students participate in a school club or. Tien bought 1 books. Two-thirds of the books are science fiction. How many of the books are science fiction? Draw a model to show how you found your answer. Possible answer: 8 science fiction books 6. Jessica rides the bus 8 _ miles each day. Which statements correctly describe how far she rides the bus? Mark all that apply. A Jessica rides the bus 1_ miles in days. B Jessica rides the bus 61 _ miles in 7 days. C Jessica rides the bus 88 miles in 10 days. D Jessica rides the bus 18 _ miles in days GO ON

14 Page 7. Write each multiplication expression in the correct box Product is equal to. _ _, _ _ Product is greater than. 1 _ 8 _, _ Product is less than. _ _, _ 6 _ 8. A rug has an area of 8 square feet. Two similar rugs have areas of 108 square feet and 19 square feet. In each rug, the length is 1 1_ times the width. Which of the following could be the dimensions of one of the rugs? Mark all that apply. A 6 feet by 8 feet B 10 feet by 18 feet D 1 feet by 16 feet E feet by 1 feet C 9 feet by 1 feet 9. In a fifth-grade class, _ of the students like to go to the movies. Of the students who like to go to the movies, _ of them like action movies. Of the students who like to go to action movies, _ of them also like comedies. Part A What fraction of the students in the class like to go to action movies? 1_ of the students Part B What fraction of the students in the class like to go to action movies and comedies? Explain how you found your answer. _ of the students Possible explanation: In Part A, I multiplied _ _ = 1 _ to find the fraction of the students in the class who like to go to action movies. I know that _ of these students also like to go to comedies, so I can multiply to find the answer: 1 _ _ = _. GO ON

15 Page 10. A farmer s field has the dimension shown. He needs to find the area of the field so that he knows how much seed to buy. Complete the area model below to find the area of the field km 1 1 km area of the field = _ square kilometers 11. It took Mary Lou _ 6 hour to write a report for English class. It took Heather 9 10 as much time to write her report as it took Mary Lou. For numbers 11a 11c, select Yes or No to answer each question. 11a. Did Mary Lou and Heather Yes No take the same amount of time to write their reports? 11b. Did Mary Lou spend more Yes No time writing her report than Heather? 11c. Did it take Heather _ write her report? hour to Yes No 1. Andrea bought 1 bagels and 10 muffins at the bakery. Of these items, _ of the bagels were multigrain, and _ of the muffins were bran muffins. 1a. How many multigrain bagels did Andrea buy? 8 multigrain bagels 1b. How many bran muffins did Andrea buy? 6 bran muffins GO ON

16 Page 1. The table shows how many bags of canned goods each class collected during the first week of a food drive. Class Bags of Canned Goods th Graders 1 _ th Graders _ 6 th Graders 1 _ Next week the th graders hope to collect 1 1_ times as many bags of canned goods as the first week. The th graders goal is to collect 1 _ as many bags of canned goods as they collected in week 1. The 6 th graders hope to collect 1 1_ as many bags of canned goods. Match each class to the number of bags of canned goods they hope to collect next week. Class Next Week s Goal (bags) th Graders 1 16 th Graders 7 _ 8 6 th Graders _ 1. Hannah is tiling a section of her bathroom wall with tiles that are 1_ foot by 1_ foot. The section of the wall is 1_ feet tall and 1_ feet wide. Part A Let each square of the grid below represent 1_ foot by 1_ foot. Draw a rectangle on the grid to represent the section of wall. Possible answer: Part B What is the area of the section of wall? Explain how you found your answer _ square feet Possible explanation: There are rows and 9 columns of squares, for a total of 9 = squares. Each square represents an area of 1_ 1_ = 1_ square foot. So, the area of the section of wall is 1_ = 11 1_ square feet GO ON

17 Page 6 1. Mr. Enders conducted a survey and found that _ of his students play a team sport and 1_ of those students play basketball. What fraction of his students play basketball? Write a number from the number tiles in each box to complete the calculations shown below. You may use numbers more than once or not at all. 1 = 1 = 0 = of his students 16. Katrina is using the recipe below to make vegetable soup. She plans to make 8 batches of the soup. She has 6 pounds of potatoes. onions, chopped carrots, diced celery stalks, diced 1 _ cups diced tomatoes Vegetable Soup Recipe _ pound potatoes, diced 1_ cup each green beans, corn, peas -oz containers beef stock 1 teaspoon salt Part A Write an expression that Katrina can use to determine how many pounds of potatoes are needed for 8 batches. 8 _ Part B Draw a model to show how Katrina can find the product from Part A. Possible answer: Part C Does Katrina have enough potatoes for 8 batches of the soup? Explain your reasoning. Yes; possible explanation: Katrina needs 8 _ = = 6 pounds of potatoes to make 8 batches. So, she has enough to make 8 batches of the soup. STOP

18 Sample Level Response Chapter 7 Performance Task

19 Sample Level Response Florida Chapter Standards ResourcesAssessments Chapter 7 Performance Task

20 Sample Level 1 Response Florida Chapter Standards ResourcesAssessments Chapter 7 Performance Task

21 Sample Level 0 Response 7-1 Chapter 7 Performance Task

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