Building MATH Grades 4-6 + FLUENCY Consultant: Eleanor Falk Young Editorial Development: Marilyn Evans Copy Editing: Carrie Gwynne Art Direction: Cheryl Puckett Cover Design: Liliana Potigian Illustration: Jo Larsen Design/Production: Marcia Smith EMC 3036 Congratulations on your purchase of some of the finest teaching materials in the world. Photocopying the pages in this book is permitted for single-classroom use only. Making photocopies for additional classes or schools is prohibited. For information about other Evan-Moor products, call 1-800-777-4362, fax 1-800-777-4332, or visit our Web site, www.evan-moor.com. Entire contents 2008 EVAN-MOOR CORP. 18 Lower Ragsdale Drive, Monterey, CA 93940-5746. Printed in USA. Correlated to State Standards Visit teaching-standards.com to view a correlation of this book s activities to your state s standards. This is a free service.
Contents What s in This Book?... 4 Build Your Fact Power!... 5 Learn Math Your Way... 6 Computation Tools... 7 Glossary of Mathematics Terms... 8 Addition Teaching Addition Strategies... 9 Addition Strategies... 10 Addition Strategies Practice Count Up... 11 Tens Partners... 12 Tens Partners Extended... 14 Hidden Tens Partners... 15 Doubles... 17 Doubles Extended... 18 Hidden Doubles... 19 Mixed Strategies Practice... 20 Plus 10 Extended... 21 Plus 9; Plus 8... 22 Plus 19; Plus 99... 23 Mixed Strategies Practice... 24 Fact Power Skill Builders... 27 Subtraction Teaching Subtraction Strategies... 32 Subtraction Strategies... 33 Subtraction Strategies Practice Count Back... 34 Count Up... 35 Mixed Strategies Practice... 36 Tens Partners... 37 Doubles... 38 Think Addition... 39 Mixed Strategies Practice... 40 Minus 10, Minus 20... 41 Minus 9... 42 Minus 19; Minus 99... 43 Subtract in Small Steps... 44 Mixed Strategies Practice... 45 Fact Power Skill Builders... 47 Multiplication Teaching Multiplication Strategies... 51 Multiplication Strategies... 52 Multiplication Strategies Practice Equal Groups... 53 Times 2, Times 3... 54 Mixed Strategies Practice... 55 Times 4... 56 Mixed Strategies Practice... 57 Times 10... 58 Times 5... 59 Times 6... 61 Times 7... 63 Mixed Strategies Practice... 65 Times 8... 66 Mixed Strategies Practice... 68 Times 9... 69 Square Numbers... 71 Times 11... 72 Times 12... 73 Mixed Strategies Practice... 74 Fact Power Skill Builders... 76 Division Teaching Division Strategies... 84 Division Strategies... 85 Division Strategies Practice Equal Groups... 86 Division of 0; Division by 1... 87 A Number Divided by Itself... 88 Division by 2... 89 Division by 3... 90 Division by 2 and 3... 91 Division by 4... 92 Division by 5... 93 Mixed Strategies Practice... 94 Division by 6 and 7... 95 Division by 8, 9, and 12... 96 Division by 9, 10, and 11... 97 Mixed Strategies Practice... 98 Division with Remainders... 99 Fact Power Skill Builders... 101 2 Building Math Fluency EMC 3036 Evan-Moor Corp.
Test Your Skills How to Use Test Your Skills... 105 Addition Tests Sums to 12... 106 Sums to 20 Test 1... 107 Sums to 20 Test 2... 108 Subtraction Tests Minuends to 15... 109 Minuends to 20 Test 1... 110 Minuends to 20 Test 2... 111 Multiplication Tests Products to 25 Test 1... 112 Products to 25 Test 2... 113 Products 27 to 81 Test 1... 114 Products 27 to 81 Test 2... 115 Products 84 to 144... 116 Products to 144 Review 1... 117 Products to 144 Review 2... 118 Division Tests Dividends to 25 Test 1... 119 Dividends to 25 Test 2... 120 Dividends 27 to 81 Test 1... 121 Dividends 27 to 81 Test 2... 122 Dividends 84 to 144... 123 Dividends to 144 Review 1... 124 Dividends to 144 Review 2... 125 Student Practice Flashcards How to Use Facts Flashcards... 126 Tips for Flashcards Study... 127 Addition Flashcards... 128 Subtraction Flashcards... 130 Multiplication Flashcards... 132 Division Flashcards... 137 Flashcard Template... 145 Answer Key... 146 Tranparencies... Back of book Evan-Moor Corp. EMC 3036 Building Math Fluency 3
Glossary of Mathematics Terms Addends The numbers in an addition problem. addend sum Commutative Property of Addition Numbers can be added in any order without changing the sum. Commutative Property of Multiplication Factors can be multiplied in any order without changing the product. Difference The result of subtracting two numbers. difference Digit Any of the symbols used to write a number. Fact Family A group of related facts, either addition and subtraction, or multiplication and division. Factors The numbers being multiplied. factor Identity Property of Addition When is added to a number, it does not change the total. Identity Property of Multiplication The product of and any number is that number. Minuend The number being subtracted from. minuend Multiples The product of a number and any whole number. For example, multiples of are etc. Place Value The value of a digit as determined by its position in the ones place, tens place, etc. Each position is ten times of the place to its right and one-tenth of the place to its left. Product The result of multiplication. product Quotient The result of division. quotient Subtrahend The number being subtracted. subtrahend Sum The result of joining quantities; the total. sum 8 Building Math Fluency EMC 3036 Evan-Moor Corp.
Teaching Addition Strategies Pages 11 31 present practice with addition strategies that promote fact mastery and build computational fl uency through focus on important number relationships and patterns. Count Up An effi cient strategy to use when adding a small quantity to a larger quantity. Students start with the larger addend and count up the smaller addend to fi nd the sum. Tens Partners Tens Partners are number pairs that make : Students can use Tens Partners when they are fi nding sums of. For example: Doubles Plus 10 Plus 9 Plus 8 Facts in which an addend is added to itself (example: ). Students discover that Doubles have even sums. When students have learned the Doubles facts, they have an anchor from which to compute many other facts. Doubles Plus means double the addend and add one more. Doubles Plus means double the addend and add two more. Doubles Fact Doubles Plus Doubles Plus When is added to a number, the tens-place digit increases by one, while the ones-place digit remains the same (example: ). Note: When adding to a number that has a in the tens place, you make tens, or (example: ). This strategy is based on the fact that is one away from. This strategy is based on the fact that is two away from. See 9. Think 10. See 8. Think 10. See. Think See. Think Add in Small Steps This strategy is based on the fact that it s easy to add a number to or to a multiple of. Split the smaller addend into two parts, with one of those parts being the amount needed to make. For example: Hidden Facts Find Tens Partners or Doubles hidden within problems to make computing easier. Hidden Tens Partners Hidden Doubles Evan-Moor Corp. EMC 3036 Building Math Fluency Addition 9
Addition Strategies Count Up Tens Partners Count up from the larger number. Use when adding on or. There are six sets of number pairs that make : Tens Partners can be extended to the sums of 20. Make the ones-place digits Tens Partners. Doubles Doubles Plus 1 Doubles Plus 2 Plus 10 Plus 9 See 9. Think 10. Plus 8 See 8. Think 10. Add in Small Steps Hidden Facts Add the number to itself and that number doubles. Double the number and add one more. If you know then is one more, or. Double the number and add two more. If you know then is two more, or When is added to a number, the tens-place digit increases by one. Add and subtract. Example: Think: so is one less, or. Plus 9 can be extended to Plus 19: Add and subtract. Plus 9 can be extended to Plus 99: Add and subtract. Add and subtract. Split the smaller number into two parts so that you can add up to a multiple of. For example: 1. The Tens Partner for in is. So, split into. 2. Add the Tens Partners numbers: 3. Then add the remaining number: Finding Tens Partners and Doubles hidden within problems can make the problems easier to solve. Hidden Tens Partners Hidden Doubles 10 Addition Building Math Fluency EMC 3036 Evan-Moor Corp.
Strategy Count Up Name Count Up from the largest addend. Use when adding on or. Count on the larger number. 9,10, 11 20, 21 11 Start with the larger number and count on the smaller number. 18, 19, 20, 21 21 How do you solve Count Up problems? (Check all that apply.) Count to myself Tap pencil Imagine a number line Other: Addition Evan-Moor Corp. EMC 3036 Building Math Fluency 11