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1 WITHTMGOO nlineAssessment Options: Soar to Success Math Houghton Mifflin Harcourt Publishing CompanyUse Multiplication Facts Chapter 5 179 Add Tens Write how many tens. Then add. Regroup Tens as Hundreds Write the missing numbers. Multiplication Facts Through 9 Find the product. 1. 30 1 30 5 n _ tens 1 _ tens 5 _ tens 30 1 30 5 _ 2. 40 1 50 5 n _ tens 1 _ tens 5 _ tens 40 1 50 5 _ NameCheck your understanding of important butterfly exhibit at the museum will display 60 different butterfly species arranged in an array. Each row has 6 butterflies. Be a Math Detective to find the number of rows in the butterfly 35 tens 5 _ hundreds _ tens4. 52 tens 5 _ hundreds _ tens5. 97 tens 5 _ hundreds _ tens6. 3 3 9 5 _ 7. 4 3 5 5 _8. 7 3 6 5 _ 9. 8 3 2 5 _Vocabulary Builder eStudent Edition Multimedia eGlossaryGOOnlineMultiplication2: 2, 4, 6, 8, 104 3 3 5 126 3 5 5 30 Houghton Mifflin Harcourt Publishing Company180 Visualize ItComplete the tree map by using the words with a 3.

2 Understand VocabularyRead the definition. Write the preview word or review word that matches it. 1. An ordered set of numbers or objects in which the order helps you predict what will come next. _____2. A set of objects arranged in rows and columns. _____ 3. A number sentence that uses the equal sign to show that two amounts are equal. _____ 4. The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. _____ 5. The value of each digit in a number, based on the location of the digit. _____Review Words array Commutative Property of Multiplication Distributive Property3 factors hundreds3 multiples ones pa ern place value3 product tensPreview Word equationMATHEMATICAL PRACTICESMATHEMATICAL PRACTICESMATHEMATICAL PRACTICESUNLOCK the ProblemName Houghton Mifflin Harcourt Publishing CompanyChapter 5 181 One Way Describe a pattern across the rows.

3 STEP 1 Look for a pattern to complete the table. As you look across the rows, you can see that the number of batteries increases by 4 for each flashlight. So, for every flashlight add _ 2 Use the pattern to find the number of batteries in 8 flashlights. Add _ to 28 batteries. 28 1 4 5 _So, _ batteries are needed for 8 Way Describe a pattern in the outdoor club is planning a camping trip. Each camper will need a flashlight. One flashlight uses 4 batteries. How many batteries are needed for 8 flashlights?You can describe a pattern in a PatternsEssential Question What are some ways you can describe a pattern in a table? Why is it important to know how many batteries are needed for 1 flashlight?ALGEBRAL esson that your pattern will work for all the numbers in the : Count by : Count by 1 Look for a pattern by comparing the columns in the table.

4 You can multiply the number of flashlights by 4 to find the number of batteries that are 2 Use the pattern to find how many batteries are needed for 8 flashlights. 8 3 4 5 _ Flashlights12345678 Batteries481216202428nMATHEMATICAL PRACTICESMATHEMATICAL PRACTICES Houghton Mifflin Harcourt Publishing Company182 Share and ShowN 1. How can you describe a pattern to find the cost of 4 packs of batteries? Describe a pattern for the table. Then complete the table. 2. 3. The campers need 5 packs of batteries. If there are 8 batteries in each pack, how many batteries will be in 5 packs? Try This! Describe a pattern. Then complete the table. Use a _ batteries for each a the number of packs of batteriesby , there will be _ batteries in 5 packs. Packs of Batteries1234 Cost$3$6$9 Packs of BatteriesNumber of Batteries1821634325 TentsLanterns24364851067 Adults 12345 Campers 61218 Explain how you use your description for a pattern to complete a table.

5 Name Houghton Mifflin Harcourt Publishing CompanyChapter 5 Lesson 1 1834. 5. 8. 9. 6. 7. On Your OwnNDescribe a pattern for the table. Then complete the table. 10. Students made a craft project at camp. They used 2 small pine cone patterns and 1 large pine cone pattern. Complete the table to find how many patterns were used for the different numbers of Hiked246 Cabins34567 Campers273645 CabinsBeds15210342056 AdultsStudents 212318453067 Canoes23456 Paddles468 Canoes45678 Campers121518 Projects12345678910 Small Pattern2 Large Pattern1 Model Reason Make SenseMATHEMATICALPRACTICES184 Houghton Mifflin Harcourt Publishing CompanyFOR MORE PRACTICE:Standards Practice Book, pp. P91 P92 Problem SolvingUse the picture graph for 11 13. 11. Jena bought 3 fishing poles. How much did she spend? 12. Noah bought 1 fishing pole, 2 corks, and 1 carton of worms. What was the total cost?

6 13. Ryan bought 8 corks. Explain how you can use the Commutative Property to find the cost. 14. The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total cost for a group of 6? Explain. 15. Taylor bought 4 boxes of granola bars. There are 6 bars in each box. How many granola bars did Taylor buy? 16. Test Prep Which of the following describes a pattern in the table? A Add 9. C Subtract 9. B Multiply by 2. D Multiply by 10. Lifeguards12345 Swimmers1020304050 MATHEMATICAL PRACTICESMATHEMATICAL PRACTICESUNLOCK the ProblemMATHEMATICAL PRACTICES Houghton Mifflin Harcourt Publishing CompanyChapter 5 185 Tanisha plans to invite 24 people to a picnic. The invitations come in packs of 8. How many packs of invitations does Tanisha need to buy?An equation is a number sentence that uses the equal sign to show that two amounts are symbol or letter can stand for an unknown factor.

7 You can write the equation, n 3 8 5 24, to find how many packs of invitations Tanisha needs. Find the number, n, that makes the equation Way Use an array. Show an array with 24 tiles with 8 tiles in each row by completing the drawing. n 3 8 5 24 Count how many rows of 8 tiles there are _ rows of 8 tiles. The unknown factor is _. n 5 _ _ 3 8 5 24 Check. _ 5 24 3 The equation is true. So, Tanisha needs _ packs of Unknown FactorsEssential Question How can you use an array or a Multiplication table to find an unknown factor?ALGEBRAL esson number of rowsfactor number in each rowproduct totalnumber How many people is Tanisha inviting? __ How many invitations are in 1 pack? __ Think: What number times 8 equals 24? Explain how the array represents the problem. How do the factors relate to the array?MATHEMATICAL PRACTICESMATHEMATICAL PRACTICESMATHEMATICAL PRACTICESMATHEMATICAL PRACTICESMATHEMATICAL PRACTICES0000000000012345678902468101214 1618036121518212427048121620242832360510 1520253035404506121824303642485407142128 3542495663081624324048566472091827364554 6372810102030405060708090010203040506070 80901001089778910665544332211009 Houghton Mifflin Harcourt Publishing Company186 Another Way Use a Multiplication table.

8 3 8 5 24 Start at the column for the factor 8, since 8 is the second factor. Look down to find the product, 24. Look left across the row from 24. The unknown factor is _. 5 __3 8 5 24 5 24 3 The equation is and ShowN1. What is the unknown factor shown by this array? 5 3 5 35 5 _Think: The symbol, , stands for the unknown factor. How can you use the Commutative Property to check your answer? Find the unknown factor. 2. d 3 3 5 27 d 5 _ 3. 6 3 5 30 5 _ 4. 20 5 c 3 5 c5 _ 5. 3 2 5 14 5 _ 6. 36 5 b 3 9 b 5 _ 7. 8 3 e 5 64 e 5 _ 8. 7 3 5 42 5 _ 9. z 3 9 5 72 z 5 _ Explain how you know if you are looking for the number of rows or the number in each row when you make an array to find an unknown Houghton Mifflin Harcourt Publishing CompanyOn Your OwnNFind the unknown 5 Lesson 2 18710. 3 2 5 18 5 _11.

9 28 5 4 3 m m 5 _ 12. y 3 3 5 9 y 5 _13. 7 3 g 5 63 g 5 _14. 5 3 p 5 40 p 5 _ 15. 8 3 w 5 56 w 5 _ 16. 36 5 3 6 5 _17. 8 3 e 5 72 e 5 _18. 9 3 5 27 5 _19. 6 3 a 5 60 a 5 _ 20. d 3 5 5 10 d 5 _21. 32 5 8 3 n n 5 _22. a 3 4 5 24 a 5 _23. 7 5 7 3 n n 5 _ 24. w 3 3 5 15 w 5 _25. 3 8 5 48 5 _ Algebra Find the unknown 3 3 6 5 k 3 9 k 5 _ 31. 4 3 y 5 2 3 6 y 5 _ 32. 5 3 g 5 36 2 6 g 5 _33. 6 3 4 5 3 3 5 _34. 9 3 d 5 70 1 2 d 5 _ 35. 8 3 h 5 60 2 4 h 5 _26. 35 5 h 3 5 h 5 _27. 54 5 3 6 5 _ 28. 7 3 p 5 49 p 5 _29. y 3 4 5 36 y 5 _Model Reason Make SenseMATHEMATICALPRACTICESP icnic SuppliesBowlsCupsTableclothNapkinsForks6 813650$10$3$2$2$3 ItemCostNumberin 1 PackModel Reason Make SenseMATHEMATICALPRACTICES188 Houghton Mifflin Harcourt Publishing CompanyProblem SolvingUse the table for 36 40. 36. Tanisha needs 40 cups for the picnic.

10 How many packs of cups should she buy? 37. What if Tanisha needs 40 bowls for the picnic? Explain how to write an equation with a letter for an unknown factor to find the number of packs she should buy. Then find the unknown factor. 38. Ms. Hill buys 3 tablecloths and 2 packs of napkins. How much does she spend? 39. What if Randy needs an equal number of bowls and cups for his picnic? How many packs of each will he need to buy?40. Lori buys 200 forks. She gives the cashier $20. How much change should she get? 41. Test Prep What is the unknown factor?m 3 6 5 48 A 8 B 7 C 6 D 5 FOR MORE PRACTICE:Standards Practice Book, pp. P93 P94 Mid-Chapter Checkpoint Houghton Mifflin Harcourt Publishing CompanyChapter 5 189 VocabularyChoose the best term from the An ___ is a number sentence that uses the equal sign to show that two amounts are equal. (p. 185)Concepts and SkillsDescribe a pattern for the table.