Mastering Math Facts Multiplication and Division Grades 3 5 by Jillayne Prince Wallaker Carson Dellosa Publishing Company, Inc. Greensboro, North Carolina
Credits Editor: Susan Morris Layout Design: Van Harris Inside Illustrations: Lori Jackson and Van Harris Cover Design: Peggy Jackson This book has been correlated to state, national, and Canadian provincial standards. Visit www.carsondellosa.com to search for and view its correlations to your standards. 2006, Carson-Dellosa Publishing Company, Inc., Greensboro, North Carolina 27425. The purchase of this material entitles the buyer to reproduce worksheets and activities for classroom use only not for commercial resale. Reproduction of these materials for an entire school or district is prohibited. No part of this book may be reproduced (except as noted above), stored in a retrieval system, or transmitted in any form or by any means (mechanically, electronically, recording, etc.) without the prior written consent of Carson-Dellosa Publishing Co., Inc. Printed in the USA All rights reserved. ISBN: 978-1-60418-403-7
Table of Contents Introduction... 5 Memorization Strategies Looking at Multiplication Sets (Creating Number Sentences)... 6 Looking at Division Sets (Creating Number Sentences)... 7 Arrays... 8 Double It; Halve It... 9 Spin It; Write 4...10 Make It; Draw It...11 Say It; Write It...12 Trace It; Horizontal and Vertical...13 Part of the Family...14 Partner Practice; Circling Partners...15 Draw, Write, Say, Quiz...16 Triangle Flash Cards (Flash Cards)...17 Triangle Flash Card Templates (Flash Cards)...18 Triangle Flash Cards; Triangle Flash Card Partners (Using Flash Cards)...19 Multiplication Flash Cards, 0 5 (Flash Cards)...20 22 Flash Card Flip It; Beat the Calculator on Your Own... 23 Partner Flash Cards; Partner Calculator (Using Flash Cards)... 24 If I Know 1 Fact; If I Know 1 Fact in the Family (Fact Families)... 25 0 5 0 5 Multiplication Table... 26 Multiplication Property of 0 (Multiplying with 0)... 27 Multiplication Property of 1 (Using a Table)... 28 If I Know... Then, I Also Know... (Commutative Property of Multiplication)... 29 Linking The Facts (Multiplying with 2)......30 0 3 Spinner (Multiplying with 3)...31 Evens and Odds (Multiplying with 4)... 32 5 in an Egg Carton (Multiplication Fact Practice 0 5)... 33 Mini Quizzes, Facts 0 5 (Multiplying with 0 5)... 34 37 Multiplication Fact Tests 0 5... 38 39 0 5 Division Table (Single-Digit Division)... 40 Division Flash Cards, 0 5...41 43 What About 0? (Dividing with 0)... 44 What s with 1? ( Dividing with 1)... 45 Groups of 2 (Dividing with 2)... 46 Dividing Evens and Odds (Division Using a Multiplication Table)... 47 Coloring Dots (Division)... 48 Pick a Number (Dividing with 5)... 49 Mini Quizzes, Facts 0 5 (Dividing with 0 5)...50 53 Division Fact Tests 0 5 (Division)... 54 55 Fact Families 1 3 (Fact Families)... 56 Fact Families 4 and 5 (Fact Families)... 57 Mini Quizzes, Facts 0 5 (Multiplying and Dividing with 0 5)...58 61 Multiplication and Division Fact Tests 0 5...62 63 Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa
Table of Contents 6 9 0 9 Multiplication Table...64 Multiplication Flash Cards 6 9 (Flash Cards)...65 Multiplication Flash Card Templates (Flash Cards)...66 On a Roll (Multiplying with 6)...67 7 Row and Column (Multiplying with 7)... 68 Follow the Rule (Multiplying with 8)... 69 Using Playing Cards (Multiplying with 9 and 10)... 70 Mini Quizzes, Facts 6 9 (Multiplying with 6 9)...71 74 Multiplication Fact Tests 6 9... 75 76 0 9 Division Table... 77 Division Flash Cards 6 9 (Flash Cards)... 78 Division Flash Card Templates (Flash Cards)... 79 6 Sets (Dividing with 6)... 80 Follow the Rule (Dividing with 7)...81 8 Row and Column (Dividing with 8)... 82 Dividing with Arrays (Dividing with 9)... 83 Mini Quizzes, Facts 6 9 (Dividing with 6 9)...84 87 Division Fact Tests 6 9...88 90 Fact Families 6 and 7 (Fact Families)...91 Fact Families 8 and 9 (Fact Families)... 92 Mini Quizzes, Facts 6 9 (Multiplying and Dividing with 6 9)...93 94 Multiplication and Division Fact Tests 6 9...95 96 10 12 0 12 Multiplication Table... 97 Multiplication Flash Cards 10 12 (Flash Cards)... 98 Just Add 0 (Multiplying with 10 Using Base 10 Blocks)... 99 If I Know... (Multiplying with 10 12)...100 Mini Quiz, Facts 10 12 (Multiplying with 10 12)...101 Multiplication Fact Tests 10 12...102 103 Division Flash Cards 10 12 (Flash Cards)...104 Fact Families with 10 (Fact Families)...105 Fact Families with 11 and 12 (Fact Families)...106 Fact Families 10 12 (Fact Families)...107 Mini Quiz, Facts 10 12 (Dividing with 10 12)...108 Division Fact Tests 10 12... 109 110 Division Fact Test 0 12... 111 Mini Quiz, Facts 10 12 (Multiplication and Division with 10 12)...112 Multiplication and Division Fact Tests 10 12... 113 114 Multiplication and Division Strategies Multiplication Strategy: Break It Down (Decompose the Numbers)...115 Multiplication Strategy: Multiplication Boxes (Regrouping)...116 Division Strategy: Repeated Subtraction (Division without a Remainder)...117 Division Strategy: Using Base 10 Blocks (Division with a Remainder)...118 Answer Key...119 128 4 Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa
Name Date Looking at Multiplication Sets Creating Number Sentences Collect 5 counters and 5 math mats. Place the same number of counters on each mat you use. Write a fact for each set as you put the counters into different groups on the mats. Each set shows one multiplication sentence. The first factor is the number of groups. Each mat represents 1 group. The second factor is the number of counters in each group. The product is the number of counters in all of the groups in the set. When you look at the sets, say the following: group(s) of has a total value of, so x =. Example 1: 2 counters Example 2: 2 counters Think: 1 group of 2 has a total value of 2, so 1 x 2 = 2. Think: 2 groups of 1 have a total value of 2, so 2 x 1 = 2. Each mat represents 1 group. Place the given number of counters on the mats so that all mats have an equal number of counters. Start with one mat and see how many equal groups can be made with the given number of counters. Then, add another mat and try to make more equal groups. Keep adding mats until you can no longer make equal groups with the given number of counters. Write the number sentence for each set of equal groups that you can make on the lines below. You may not need all of the blanks for each problem. 1. 3 counters 2. 5 counters 3. 4 counters 4. 1 counter Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa
Name Looking at Division Sets Date Creating Number Sentences Collect 10 counters and 5 math mats. Place the same number of counters on each mat you use. Write a fact for each set as you put the counters into different groups on the mats. Each set shows one division sentence. The dividend is the number of counters, or units. The divisor is the number of groups. Each mat represents 1 group. The quotient is the number of units in each group. When you look at the sets, say the following: divided into group(s) is units in each set, so =. Example 1: 2 counters Example 2: 2 counters Think: 2 divided into 1 group is 2 units, so 2 1 = 2. Think: 2 divided into 2 groups is 1 unit, so 2 2 = 1. Each mat represents 1 group. Place the given number of counters on the mats so that all mats have an equal number of counters. Start with one mat and see how many equal groups can be made with the given number of counters. Then, add another mat and try to make more equal groups. Keep adding mats until you can no longer make equal groups with the given number of counters. Write the number sentence for each set of equal groups that you can make on the lines below. You may not need all of the blanks for each problem. 1. 8 counters 2. 4 counters 3. 10 counters 4. 5 counters 5. 3 counters Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa 7
Name Date Arrays Memorization Strategies Arrays can help you memorize multiplication and division facts. The number of columns is the first factor in a multiplication problem this is the number of sets or groups. The number of rows is the second factor in a multiplication problem this is the number in each set or group. The total number in the array is the product. In a division problem, the total number is the dividend. The number of columns is the divisor, or the number of sets or groups it is divided into. The number in each row is the number in each set, or the quotient. Look at each array and write the multiplication or division number sentence it represents. Draw an X in the blank to tell whether you are writing a multiplication or division sentence for each array. I am writing the multiplication facts division facts. 1. 2. 3. 4. 5. 6. 7. 8. 9. Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa
Name Double It Halve It Date Memorization Strategies Double It You can memorize twice as many multiplication facts by taking a fact you have already memorized and doubling 1 factor. This doubles the product. For example, you already know that 3 x 4 = 12. Double the 4 and the 12 to make a new number sentence, 3 x 8 = 24. Write 5 facts that you need to memorize in the space below. Below each fact, double the second factor and double the product, and write a new number sentence. Say each part of both number sentences aloud as you point to each part of the problem. Say each number sentence aloud 3 times. Halve It You can memorize twice as many division facts by taking a fact you have already memorized and halving the divisor. This doubles the quotient. For example, you already know that 8 4 = 2. Halve the 4 and double the 2 to make a new number sentence, 8 2 = 4. Write 5 facts that you need to memorize in the space below. Below each fact, halve the divisor, double the quotient, and write a new number sentence. Say each part of both number sentences aloud as you point to each part of the problem. Say each number sentence aloud 3 times. Mastering Math Facts: Multiplication and Division CD-104170 Carson-Dellosa