Math Practice: Grades 5 6
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2 Math Practice: Grades 5 6 Addition Adding Multi-Digit Numbers...4 Multi-Digit Column Addition...5 Subtraction Subtracting One- and Two-Digit Numbers...7 Subtracting Two- and Three-Digit Numbers...8 Subtracting Multi-Digit Numbers...9 Multiplication Multiplying One- and Two-Digit Numbers Multiplying Two-Digit Numbers...11 Multiplying Multi-Digit Numbers...12 Division Division with One-Digit Quotients Division with Two-Digit Quotients Division with One- and Two-Digit Quotients and Remainders...17 Division with Two- and Three-Digit Quotients and Remainders Fractions Understanding Fractions...19 Making Fractions Equivalent Comparing Fractions Finding the Greatest Common Factor Writing Fractions in Simplest Form Writing Mixed Numbers as Improper Fractions Writing Improper Fractions as Mixed Numbers Fractions Review Finding the Least Common Denominator Adding Fractions with Like Denominators Adding Fractions with Unlike Denominators Adding Mixed Numbers with Like Denominators Adding Mixed Numbers with Unlike Denominators Subtracting Fractions with Like Denominators Subtracting Fractions with Unlike Denominators Subtracting Fractions from Whole Numbers Subtracting Mixed Numbers with Like Denominators Subtracting Mixed Numbers with Unlike Denominators Table of Contents Multiplying Fractions Multiplying Fractions and Whole Numbers Multiplying Mixed Numbers and Whole Numbers Multiplying Mixed Numbers Finding the Reciprocal Dividing Fractions Dividing Fractions and Whole Numbers Dividing Fractions and Mixed Numbers Dividing Mixed Numbers Multiplying and Dividing Fractions Review Decimals and Percents Understanding Decimals Writing Decimals as Fractions Writing Fractions as Decimals Adding Decimals...74 Subtracting Decimals Multiplying Decimals Dividing Decimals Finding Percents Fractions, Decimals, and Percents Review Geometry Finding the Perimeter of a Polygon Finding the Area of a Rectangle Finding the Area of a Triangle Finding the Volume of a Rectangular Prism Labeling Lines, Line Segments, and Rays Naming and Measuring Angles Finding the Circumference of a Circle Labeling Bar and Circle Graphs Labeling Line Graphs Graphing Coordinates Number Patterns Solving for Variables Statistics and Probability Mean, Median, Mode, and Range Answer Key , Carson-Dellosa Publishing Company, Inc., Greensboro, North Carolina 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
3 Ready-to-Use Ideas and Activities T S The only way that students will truly be able to manipulate numbers and have access to higher-level math concepts is to learn the basic facts and understand fundamental concepts, such as counting, addition, subtraction, multiplication, and division. The following activities can help reinforce basic skills. These activities include a multisensory approach to helping students understand the concepts being introduced. Separate the flash cards provided in the back of this book. Place the equal sign, greater than sign, and lesser than sign flash cards on a flat surface. Then, place two flash cards with equations on the flat surface. Have students use the sign flash cards to show whether the two equations are equal, one equation is greater than the other equation, or one equation is less than the other equation. Repeat with two different equation flash cards. = > < 2 CD Carson-Dellosa
4 Ready-to-Use Ideas and Activities Use a pair of dice and anything that can act as a three-minute timer (a timer, a stopwatch, a watch with a second hand, etc.), or decide on a certain number of rounds of play. Have each student roll the dice and multiply the numbers on the top faces. Each correct answer is worth one point. The student with the most correct answers after a specific period of time or number of rounds wins. For example, a game may consist of six rounds. The student with the most points after six rounds wins. Alternately, the game can be played with division with remainders. As players memorize answers and gain confidence, add additional dice. When using more than two dice, have players state the problem aloud and answer as they go. For example, if the dice show 5, 2, 6, and 4, the player would say, 5 times 2 is 10, and 10 times 6 is 60, and 60 times 4 is 240. Create a bingo sheet with five rows and five columns of blank squares. Write FREE in the middle square. Give one copy to each student. Write the flash card equations where they can be seen and have students choose 24 of the equations and write them in the empty spaces of their bingo cards in any order. When students have finished writing on their cards, gather the flash cards into a deck. Call out the equations one at a time. Any student who has an equation that you call out should make an X through the equation on their card to cross it out. The student who crosses out five equations in a row first (horizontally, vertically, or diagonally) wins the game by calling out, Bingo! Then, have students solve the equations on their bingo cards. Play another version of this game by writing answers on the bingo sheet and calling out the equations. To extend the game, continue playing until a student crosses out all of the answers on her bingo sheet. CD Carson-Dellosa 3
5 Adding Multi-Digit Numbers Total Problems: , , , , , , , , , , , , , , , , , , , , , , ,822 4 CD Carson-Dellosa
6 Multi-Digit Column Addition Total Problems: ,767 8, , , ,107 53,001 42, ,570 4, , ,721 4, , ,257 4, , , ,840 2, ,357 1, , ,103 47, , ,275 2, , ,695 4, , ,749 7, CD Carson-Dellosa 5
7 Multi-Digit Column Addition Total Problems: ,105 43,785 6,112 3, , ,152 5,847 1, , ,104 18,905 5,629 3, ,201 5,784 7, , ,862 50,311 62,109 5, , ,431 55,095 18, , ,782 3,755 2, ,152 39,157 70, ,106 43,785 6,112 3, , , ,164 22,900 18,442 4, CD Carson-Dellosa
8 Subtracting One- and Two-Digit Numbers Total Problems: CD Carson-Dellosa 7
9 Subtracting Two- and Three-Digit Numbers Total Problems: CD Carson-Dellosa
10 Subtracting Multi-Digit Numbers Total Problems: , , ,107 3, ,946 71, ,175 8, , , ,257 4, ,810 22, ,502 10, , , ,689 5, ,300 18, ,645 53, , , ,571, , , ,398 1, ,107 83, ,875 31, ,128 57, ,422 5,349 CD Carson-Dellosa 9
11 Multiplying One- and Two-Digit Numbers Total Problems: CD Carson-Dellosa
12 Multiplying Two-Digit Numbers Total Problems: CD Carson-Dellosa 11
13 Answer Key Adding Multi-Digit Numbers Total Problems: 24 Multi-Digit Column Addition Total Problems: , , , , , ,194 11,709 89, ,767 8, , , ,431 12,929 50, ,107 53,001 42, , , , , , , ,094 1,693 4,838 43, ,570 4, ,721 4, , ,647 73, , , ,257 4, ,621 1,091 15, , , , , , , ,833 12, , , , , ,840 2, , ,357 1, , ,103 47, ,826 13, , , , , , , , ,822 9, ,979 13,899 78, , , ,275 2, ,695 4, , , ,952 85, ,749 7, ,617 4 CD Carson-Dellosa CD Carson-Dellosa 5 Multi-Digit Column Addition Total Problems: 15 Subtracting One- and Two-Digit Numbers Total Problems: ,105 43,785 6,112 3, ,182 1, , ,152 5,847 1, , , ,104 18,905 5,629 3, , , ,201 5,784 7, , , ,862 50,311 62,109 5, ,219 2, , ,431 55,095 18, , , , ,782 3,755 2, , ,152 39,157 70, , ,106 43,785 6,112 3, , , ,138 7, ,164 22,900 18,442 4, , CD Carson-Dellosa CD Carson-Dellosa CD Carson-Dellosa
14 Answer Key Subtracting Two- and Three-Digit Numbers Total Problems: 24 Subtracting Multi-Digit Numbers Total Problems: , , , , , ,988 71,807 8,189 8,855 4,076 18,119 15, , , , , , , ,071 22,516 10,498 6,192 5,372 27,186 25, , , , , , , ,672 18,704 53,217 8,279 7,215 41,017 6, , , , , , , , ,326 5,281 70,342 6,167 8, , , , , ,422 1,028 83,279 31,787 57,281 5,349 51,370 2,828 5,088 5,847 89,073 8 CD Carson-Dellosa CD Carson-Dellosa 9 Multiplying One- and Two-Digit Numbers Total Problems: 30 Multiplying Two-Digit Numbers Total Problems: ,596 3,538 2, , ,214 1,683 1, ,175 1,032 2,142 5,655 2, ,012 5,980 1,150 4,980 4, CD Carson-Dellosa CD Carson-Dellosa 11 CD Carson-Dellosa 105
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