CCSS Use multiplication and division within 100 toand solvedivision word problems in NS 2.3G3.OA.3 Use the inverse relationship of multiplication to situations involving equal groups, arrays, and measurement quantities, e.g., by using compute and check results. drawings and equations with a symbol for the unknown number to represent the problem. UNDERLYING SKILLS AND CONCEPTS: multiplication basic facts; division basic facts CCSS G3.OA.5 Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known. (Commutative property of multiplication.) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Knowing that 8 x 5 = Relate Multiplication and Division a K ey Ide Since multiplication and division are inverse operations, you can use multiplication to check division. E x am p l E 1 Jody had 54 buttons. She put the same number of buttons on 9 sweaters. How many buttons did she put on each sweater? Find 54 9. 54 9 6 She put 6 buttons on each sweater. Check by multiplying: E x am p l E 2 Norman has 4 pages of bird stamps. He has 8 stamps on each page. How many bird stamps does he have? Find 4 8. 4 8 32 He has 32 stamps. Check by dividing: 32 stamps 4 pages 8 stamps per page page 162 Chapter 14 – Lesson 3 C – © CSL Associates, Inc. All rights reserved. 6 buttons 9 sweaters 54 buttons Name P RAC T I C E Solve each problem. Check by using the inverse operation. 1. Carlos has 42 chairs. He can put 6 at each table. How many tables does he need? 7 tables 3. Catrina has 5 packages of buns. There are 8 buns in each package. How many buns does she have in all? 2. There are 28 students in science class. 4 of them share a balance scale. How many balance scales are needed for the class? 7 balance scales 4. Ted has 12 eggs. He is making breakfast for 6 people. How many eggs does each person get? C – © CSL Associates, Inc. All rights reserved. 40 buns 5. There are 30 glasses. Judy can put 6 in one box. How many boxes does she need? 5 boxes Math Reasoning 2 eggs 6. Gary has 6 cans of tennis balls. Each can holds 3 balls. How many tennis balls does he have in all? 18 tennis balls Number Sense MR 2.6 7. Toby has 24 postcards. He is putting 3 postcards on each page of a scrapbook. He says he needs 6 pages. How can you check to find out if he is correct? I can multiply 3 6. 3 6 18 not 24, so he is not correct. Chapter 14 – Lesson 3 page 163 MCX94.HW.CL.G3.FM&Lesson.v211 8/3/04 13:56 Page 110 Name …at home! P RAC T I C E Solve each problem. Check by using the inverse operation. 1. Carla has 36 chairs. She can put 6 at each table. How many tables does she need? 2. There are 24 students in gym class. 4 of them share a ball. How many balls are needed for the class? 6 balls 6 tables 3. Bobby has 7 packages of buns. There are 6 buns in each package. How many buns does he have in all? 4. Trish has 14 eggs. She is making breakfast for 7 people. How many eggs does each person get? 2 eggs 5. There are 48 glasses. Mark can put 6 in one box. How many boxes does he need? 6. Laila has 7 cans of tennis balls. Each can holds 3 balls. How many tennis balls does she have in all? 21 tennis balls 8 boxes Math Reasoning Number Sense MR 2.6 7. Judy has 18 photographs. She is putting 4 photographs on each page of a scrapbook. She says she needs 6 pages. How can you check to find out if she is correct? I can multiply 4 6. 4 6 24 not 18, so she is not correct. page 110 Home Resource and Homework Chapter 14 Lesson 3 C – © CSL Associates, Inc. All rights reserved. 42 buns MCX94TEG3Ch01_32.v8.9.3 2/21/01 14:47 Page 301 Name P RAC T I C E Solve each problem. Check by using the inverse operation. 1. Carlos has 42 chairs. He can put 6 at each table. How many tables does he need? 2. There are 28 students in science class. 4 of them share a balance scale. How many balance scales are needed for the class? 7 tables 7 balance scales 3. Catrina has 5 packages of buns. There are 8 buns in each package. How many buns does she have in all? 4. Ted has 12 eggs. He is making breakfast for 6 people. How many eggs does each person get? C – © CSL Associates, Inc. All rights reserved. 40 buns 2 eggs 5. There are 30 glasses. Judy can put 6 in one box. How many boxes does she need? 6. Gary has 6 cans of tennis balls. Each can holds 3 balls. How many tennis balls does he have in all? 5 boxes Math Reasoning 18 tennis balls Number Sense MR 2.6 7. Toby has 24 postcards. He is putting 3 postcards on each page of a scrapbook. He says he needs 6 pages. How can you check to find out if he is correct? I can multiply 3 6. 3 6 18 not 24, so he is not correct. Chapter 14 – Lesson 3 Student Book Page page 163 Name …at home! P RAC T I C E Solve each problem. Check by using the inverse operation. 1. Carla has 36 chairs. She can put 6 at each table. How many tables does she need? 2. There are 24 students in gym class. 4 of them share a ball. How many balls are needed for the class? 6 balls 6 tables 3. Bobby has 7 packages of buns. There are 6 buns in each package. How many buns does he have in all? 4. Trish has 14 eggs. She is making breakfast for 7 people. How many eggs does each person get? 2 eggs 5. There are 48 glasses. Mark can put 6 in one box. How many boxes does he need? 6. Laila has 7 cans of tennis balls. Each can holds 3 balls. How many tennis balls does she have in all? 21 tennis balls 8 boxes Math Reasoning Number Sense MR 2.6 7. Judy has 18 photographs. She is putting 4 photographs on each page of a scrapbook. She says she needs 6 pages. How can you check to find out if she is correct? I can multiply 4 6. 4 6 24 not 18, so she is not correct. page 110 Home Resource and Homework Chapter 14 Lesson 3 C – © CSL Associates, Inc. All rights reserved. 42 buns
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