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DO NOT EDIT--Changes must be made through "File info" CorrectionKey=A DO NOT EDIT--Changes must be made through "File info" CorrectionKey=A Chapter 7 Name Review/Test 4. Miguel’sclasswenttothestatefair.Thefairgroundisdividedinto 6ofthefairground.Gamesarein__ 2ofthe sections.Ridesarein__ 10 10 1ofthefairground. fairground.Farmexhibitsarein__ 10 Personal Math Trainer Chapter 7 Review/Test DO NOT EDIT CorrectionKe Online Assessment and Intervention Part A 1. A painter mixed 1_4 quart of red paint with 3_4 blue paint to make Usethemodel.Whatfractionofthefairgroundisridesandgames? purple paint. 1 Summative Assessment 4 8or_ Thefractionofthefairgroundwithgamesandridesis __ 10 5 . 5 _1 __ 10 or2 greater;Possibleexplanation:Icouldshade 6sectionstorepresentthesectionwiththerides,andthen Icouldcrossout1sectiontorepresentthefarmexhibits. Thisleaves5sections,sothepartofthefairgroundwith 5 or_ 1 __ ridesis10 2 greaterthanthepartwithfarmexhibits. 2. Ivan biked 1 2_3 hours on Monday, 2 31_ hours on Tuesday, and 2 32_ hours on Wednesday. What is the total number of hours Ivan spent biking? Ivan spent _ 62 3 hours biking. Personal Math Trainer 3. © Houghton Mifflin Harcourt Publishing Company Chapter Essential Question • Why do you add or subtract the numerators and not the denominators? • How do you know that your sum or difference is reasonable? Howmuchgreateristhepartofthefairgroundwithrides thanwithfarmexhibits?Explainhowthemodelcouldbeused tofindtheanswer. quart of purple paint 5. Ritaismakingchili.Therecipecallsfor2_34cupsoftomatoes.How manycupsoftomatoes,writtenasafractiongreaterthanone,are usedintherecipe? Tricia had 4 1_8 yards of fabric to make curtains. When she finished she had 2 3_8 yards of fabric left. She said she used 2 2_8 yards of fabric for the curtains. Do you agree? Explain. SMARTER __ 11 No; Possible explanation: When I subtract 2 3_8 from 4 1_8 , the answer is not 2 2_8 . The mixed number 4 1_8 needs to be regrouped as a mixed number with a fraction greater than 1. 4 1_8 = 3 9_8 , so 3 9_8 − 2 3_8 = 1 6_8 or 1 3_4 . 6. 4 cups 9 ofthe Lamar’smomsellssportsequipmentonline.Shesold__ 10 9canbewrittenasasumof sportsequipment.Selectaway__ 10 fractions.Markallthatapply. 1+__ 1+__ 1+__ 1+__ 2 A __ 4+__ 1+__ 1+__ 3 D __ 3+__ 2+__ 3+__ 1 B __ 4+__ 3+__ 1+__ 1+__ 1 E __ 10 10 10 10 10 10 10 10 2+__ 2+__ 2+__ 2 C __ 10 10 10 10 Assessment Options Chapter Test Chapter 7 447 10 10 10 10 10 10 10 10 10 2+__ 2+__ 2+__ 3 F __ 10 10 10 10 10 448 448 2/28/14 9:49 4_MNLESE342255_C07RT.indd PM 4_MNLESE342255_C07RT.indd 447 Data-Driven Decision Making Based on the results of the Chapter Review/Test use the following resources to review skills. 3 2 1 Content Focus 12/02/14 7:41 AM Chapter 7 Personal Math Trainer Item Lesson Standard 1, 4, 8, 13 7.3 4.NF.B.3d Solve word problems involving addition of fractions having like denominators using models. 4.NF.B.3d R—7.3 2, 12, 20 7.7 4.NF.B.3c Add and subtract mixed numbers with like denominators. 4.NF.B.3c R—7.7 3, 11 7.8 4.NF.B.3c Subtract mixed numbers with renaming. 4.NF.B.3c R—7.8 4, 14 7.4 4.NF.B.3d Solve word problems involving subtraction of fractions having like denominators using models. 4.NF.B.3d R—7.4 5, 16, 21 7.6 4.NF.B.3b Rename mixed numbers as fractions greater than 1 and rename fractions greater than 1 as mixed numbers. 4.NF.B.3b R—7.6 6 7.2 4.NF.B.3b Decompose a fraction into a sum of fractions with the same denominator in more than one way. 4.NF.B.3b R—7.2 7, 15, 19 7.1 4.NF.B.3a Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. 4.NF.B.3a R—7.1 9 7.9 4.NF.B.3c Use properties of operations to add fractions with like denominators. 4.NF.B.3c R—7.9 10 7.5 4.NF.B.3d Solve word problems involving addition and subtraction of fractions having like denominators using equations. 4.NF.B.3d R—7.5 17, 18 7.10 4.NF.B.3d Solve multistep word problems involving addition and subtraction of fractions with the same denominator. 4.NF.B.3d R—7.10 Key: R—Reteach (in the Chapter Resources) 447–448 Chapter 7 Intervene With © Houghton Mifflin Harcourt Publishing Company 4 or 1 _ 4 You may want to review with students the essential question for the chapter. Ask the following questions to focus students’ thinking: Part B How much purple paint did the painter make? © Houghton Mifflin Harcourt Publishing Company Use the Chapter Review/Test to assess students’ progress in Chapter 7. How do you add or subtract fractions that have the same denominator? 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10 Name 10. For numbers 10a–10e, select Yes or No to show if the sum or difference is correct. 8 gallon of water on a hiking trip. She drank 7. Bella brought __ 10 6 gallon of water. How much water is left? __ 10 2 + 1_ = 3_ _ 8 8 8 4+_ 1=_ 5 _ 5 5 5 5 10c. _4 + _1 = __ 6 6 12 6 – __ 4 = __ 2 10d. __ 12 12 12 10e. _7 – _2 = _9 9 9 9 2 or 1 __ _ 5 gallon 10 6 of the students chose Saturday and __ 1 chose 8. In a survey, __ 10 10 Monday as their favorite day of the week. What fraction shows the students who chose Saturday or Monday as their favorite day? Part A Yes No 10b. Yes No Yes No Yes No Yes No Gina has 5 _26 11. Shade the model to show your answer. 10a. Performance Assessment Task Chapter 7 feet of silver ribbon and 2 6_4 of gold ribbon. How much more silver ribbon does Gina have than gold ribbon? 1 12. Jill is making a long cape. She needs 4 1_3 yards of blue fabric for the 7 __ outside of the cape. She needs 3 2_3 yards of purple fabric for the lining of the cape. of the students chose Monday or Saturday. 10 Part B Part A How are the numerator and denominator of your answer related to the model? Explain. For each task, you will find sample student work for each of the response levels in the task scoring rubric. Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work is shown below. Possible explanation: The numerator shows the number of parts shaded. The denominator shows the size of the parts. __ – 9 _=3 _ 41_ – 32_ = 12 3 3 3 3 3 Why is Jill’s work incorrect? 9. Match the equation with the property used. ) ( ( ( ) 10 10 10 10 10 10 11_ + 3 + 21_4 = 11_4 + 21_ + 3 4 4 6 + __ 9 = 2__ 6 + __ 9 1 + 3__ 1 + 3__ 2__ 10 10 10 10 10 10 3_4 + 2_1 + 6_3 = 2_1 + 3_4 + 63_ 7 7 7 7 7 7 © Houghton Mifflin Harcourt Publishing Company ) ) ( ) ( ( ) ( ) ( Possible explanation: Jill changed only the whole number parts of the mixed number to thirds. She forgot to add the fraction part of the mixed number. • • ) • • • • Commutative Property Part B Associative Property © Houghton Mifflin Harcourt Publishing Company 6 + __ 4 + __ 3 = __ 6 + __ 3 4 + __ __ How much more blue fabric than purple fabric should Jill buy? Show your work. _ − 32 _ = 13 __ − 11 __ = 2 _ 41 3 3 3 3 3 Jill should buy _23 yard more blue fabric than purple fabric. Chapter 7 449 Name 450 Performance Assessm Assessment Tasks may be used for portfolios. Be sure to assign students Exercise 3 in the Personal Math Trainer. It features an animation or video to help students model and solve the problem. 18. Three girls are selling cases of popcorn to earn money for a band trip. In week 1, Emily sold 2 3_4 cases, Brenda sold 4 1_4 cases, and Shannon sold 3 1_2 cases. 13. Russ has two jars of glue. One jar is 1_5 full. The other jar is 2_5 full. 1 5 2 5 Part A How many cases of popcorn have the girls sold in all? Explain how you found your answer. 10 1_2 cases; possible explanation: first I add the whole numbers, 2 + 4 + 3 = 9 cases. Then I add the fractions by combining 3_4 + 1_4 into one whole. So 9 + 1 + 1_2 = 10 1_2 . Use the fractions to write an equation to find the amount of glue Russ has. 1 __ 5 3 __ 5 2 __ 5 1 _ 5 4 __ 5 + 2 _ 5 = _3 4 3 _ 5 Part B _2 4 The girls must sell a total of 35 cases in order to have enough money for the trip. Suppose they sell the same amount in week 2 and week 3 of the sale as in week 1. Will the girls have sold enough cases of popcorn to go on the trip? Explain. 14. Gertie ran mile during physical education class. Sarah ran mile during the same class. How much farther did Gertie run than Sarah? Shade the model to show your answer. No; possible explanation: if I add the sales from the 3 weeks, or 10 1_2 + 10 1_2 + 10 1_2 , the sum is only 31 1_2 cases of popcorn. This is less than 35 cases. 1 _ 4 mile farther than Sarah. 19. Henry ate 3_8 of a sandwich. Keith ate 4_8 of the same sandwich. How _2 8 15. Teresa planted marigolds in of her garden and petunias in _3 8 much more of the sandwich did Keith eat than Henry? of her garden. What fraction of the garden has marigolds and petunias? Teresa’s garden has 5 _ 8 1 _ 8 marigolds and petunias. 16. Draw a line to show the mixed number and fraction that have the © Houghton Mifflin Harcourt Publishing Company same value. 17. • 32_ • 45_ • 23_ • 23_ • 21 __ 8 • 37 __ 3 • 21 __ 7 • 37 __ 8 7 8 5 8 4 14_ + 26_ is equal to 41_. True False 20b. 35_ + 23_ is equal to 52_. True False True False True False 9 9 9 21. Justin lives 4 3_5 miles from his grandfather’s house. Write the mixed number as a fraction greater than one. 43_ = 2 3 20a. 6 6 6 20c. 45_ – 24_ is equal to 23_. 8 8 8 20d. 5_5 – 3_2 is equal to 2_3. 8 8 8 DEEPER Each day, Tally’s baby sister eats 1_4 cup of rice cereal in the morning and 1_4 cup of rice cereal in the afternoon. It will take Tally’s sister of the sandwich 20. For numbers 20a–20d, choose True or False for each sentence. 5 days to eat 2 cups of rice cereal. Chapter 7 451 23 __ 5 © Houghton Mifflin Harcourt Publishing Company Gertie ran 452 Chapter 7 Review/Test 449–452 Chapter 7 Review/Test See the Chapter Resources for a Performance Task that assesses students’ understanding of the content of this chapter. 2 _ or 2_ 24 6 3 feet more silver ribbon 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10