10.5 Model with Arrays
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1 ? Name 10.5 Model with Arrays Essential Question How can you use arrays to solve division problems? Number and Operations 3.4.H, 3.4.K Algebraic Reasoning 3.5.B MATHEMATICAL PROCESSES 3.1.C, 3.1.E Investigate Hands On Materials square tiles You can use arrays to model division and find equal groups. A. Count out 30 tiles. Make an array to find how many rows of 5 are in 30. B. Make a row of 5 tiles. C. Continue to make as many rows of 5 tiles as you can. How many rows of 5 did you make? Make Connections Hands On You can write a division equation to show how many rows of 5 are in 30. Show the array you made in Investigate by completing the drawing below. Math Idea You can divide to find the number of equal rows or to find the number in each row = There are _ rows of 5 tiles in 30. So, 30 5 = _. Module
2 Share and Show Use square tiles to make an array. Solve. 1. How many rows of 3 are in 18? 3. How many rows of 7 are in 21? 2. How many rows of 6 are in 12? 4. How many rows of 8 are in 32? Make an array. Then write a division equation tiles in 5 rows tiles in 2 rows tiles in 4 rows 9. How many rows of 3 are in 15? tiles in 9 rows 10. How many rows of 8 are in 24? Math Talk Mathematical Processes Explain when you count the number of rows to find the answer and when you count the number of tiles in each row to find the answer. 11. Write Math Show two ways you could make an array with tiles for Shade squares on the grid to record the arrays. 332
3 Name Problem Solving 12. Thomas has 28 tomato seedlings to plant in his garden. He wants to plant 7 seedlings in each row. How many rows of tomato seedlings will Thomas plant? Write Math Show Your Work 13. Use Math Language Tell how to use an array to find how many rows of 8 are in Faith plants 36 flowers in 6 equal rows. How many flowers are in each row? 15. Multi-Step There were 20 plants sold at a store on Saturday and 30 plants sold at the store on Sunday. Customers bought 5 plants each. How many customers in all bought the plants? 16. Multi-Step Lionel made an array with 24 tiles. The number of rows is 5 more than the number of tiles in each row. How many rows are in Lionel s array? Module 10 Lesson 5 333
4 Daily Assessment Task Mathematical Processes Fill in the bubble for the correct answer choice. You may use objects or models to solve. 17. Multi-Step Mrs. Weston is baking 24 oatmeal raisin cookies. There will be 4 rows of cookies on the cookie tray. She has already put one row of cookies on the tray. How many more cookies does she have left to put on the tray? A 6 C 18 B 20 D Representations Which division equation is shown by the array? A 24 3 = 8 C 24 2 = 12 B 24 4 = 6 D 21 3 = Multi-Step Hajune finds 9 black rocks one week and 9 black rocks the next week. He wants to keep the rocks in a box with 3 rows. How many black rocks can he put in each row? A 18 C 12 B 6 D TEXAS Test Prep 20. Sally makes an array using 36 coins. If she puts 4 coins in each row, how many rows does she make? A 40 C 8 B 32 D 9
5 Homework and Practice Name Number and Operations 3.4.H, 3.4.K Algebraic Reasoning 3.5.B MATHEMATICAL PROCESSES 3.1.C, 3.1.E 10.5 Model with Arrays Make an array. Then write a division equation tiles in 3 rows tiles in 6 rows tiles in 8 rows tiles in 3 rows 5. How many rows of 4 are in 32? 6. How many rows of 4 are in 16? Problem Solving 7. Hannah has a collection of 27 seashells. She wants to put 9 shells on each shelf. How many shelves does Hannah need? 8. Dexter buys 18 fish. He wants to put an equal number of fish into 3 fishbowls. How many fish will he put in each fishbowl? 9. Quentin is making a tile design with 35 tiles. He wants to put the tiles in rows. How can he set up the tiles so there are an equal number of tiles in each row? Module 10 Lesson 5 335
6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 10. Marla makes this array. 11. Claude makes this array. What division equation can she write? A 14 3 = 7 B 14 2 = 7 C 2 7 = 14 D = 14 What division equation can he write? A 24 4 = 6 B 24 3 = 8 C 4 6 = 24 D 6 4 = Sondra runs for 32 minutes. If she runs 4 miles, how many minutes does it take her to run one mile? A B C D 6 minutes 7 minutes 8 minutes 28 minutes 13. There are 25 students on the playground. The students are in teams of 5. How many teams are on the playground? A 6 B 5 C 4 D Multi-Step Jennifer collects 9 animal cards and 21 nature cards. She wants to arrange them on a bulletin board in 6 rows. How many cards will be in each row? 336 A 5 B 2 C 3 D Multi-Step Zach is planting a garden of 27 tomato plants. He puts the plants into rows of 9. If he has already planted one row, how many more rows does he need to plant? A 3 B 2 C 18 D 4
7 Name Module 10 Assessment Vocabulary Choose the best term from the box to complete the sentence. 1. The is the number that is to be divided in a division problem. (p. 320) Vocabulary divide dividend divisor quotient 2. You when you separate into equal groups. (p. 313) Concepts and Skills Use counters or draw a quick picture on your MathBoard. Make or circle equal groups. Complete the table. q TEKS 3.4.H, 3.4.K Counters Number of Equal Groups Number in Each Group Make an array. Then write a division equation. q TEKS 3.4.H, 3.4.K, 3.5.B tiles in 4 rows tiles in 7 rows Write a division equation. q TEKS 3.4.H, 3.4.K _ 9 _ 9 _ 9 _ Module
8 Fill in the bubble for the correct answer choice. You may use objects or models to solve. TEXAS Test Prep 10. Desiree has 20 stickers. She gives the same number of stickers to each of 3 friends and 2 of her sisters. Which equation can be used to find the number of stickers each person receives? q TEKS 3.4.H, 3.4.K, 3.5.B A 20 2 = C 20 5 = B 20 5 = D 20 5 = 11. Which division equation does the array show? q TEKS 3.4.H, 3.4.K, 3.5.B A 40 5 = 8 C 32 4 = 8 B 8 40 = 5 D 40 4 = Lillian bought 24 cans of cat food. There were 4 cans in each pack. How many packs of cat food did Lillian buy? q TEKS 3.4.H, 3.4.K A 7 C 5 B 6 D 8 packs cans 13. At a sporting goods store, there are 35 football caps in stacks of 5 caps each. There are 28 baseball caps in stacks of 7 caps each. How many stacks of football and baseball caps are there altogether? q TEKS 3.4.H, 3.4.K Record your answer and fill in the bubbles on the grid. Be sure to use the correct place value
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