Get Ready! F O R S TA N DA R D I Z E D T E S T S M AT H , G R A D E F O U R Other Books in the Get Ready! Series: Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph D Get Ready! for Standardized Tests: Grade by Karen Mersky, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready! for Standardized Tests: Grade by Leslie E Talbott, Ph.D Get Ready! for Standardized Tests: Grade by Shirley Vickery, Ph.D Get Ready! for Standardized Tests: Math, Grade by Sandy McConnell Get Ready! for Standardized Tests: Math, Grade by Kristin Swanson Get Ready! for Standardized Tests: Math, Grade by Susan Osborne Get Ready! for Standardized Tests: Reading, Grade by Molly Maack Get Ready! for Standardized Tests: Reading, Grade by Louise Ulrich Get Ready! for Standardized Tests: Reading, Grade by Joanne Baker Get Ready! for Standardized Tests: Reading, Grade by Kris Callahan TEST PREPARATION SERIES Get Ready! F O R S TA N DA R D I Z E D T E S T S M AT H , G R A D E F O U R June Heller Carol Turkington Series Editor McGraw-Hill New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto abc McGraw-Hill Copyright © 2001 by The McGraw-Hill Companies All rights reserved Manufactured in the United States of America Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher 0-07-138685-8 The material in this eBook also appears in the print version of this title: 0-07-137404-3 All trademarks are trademarks of their respective owners Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark Where such designations appear in this book, they have been printed with initial caps McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs For more information, please contact George Hoare, Special Sales, at george_hoare@mcgraw-hill.com or (212) 904-4069 TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc (“McGraw-Hill”) and its licensors reserve all rights in and to the work Use of this work is subject to these terms Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill’s prior consent You may use the work for your own noncommercial and personal use; any other use of the work is strictly prohibited Your right to use the work may be terminated if you fail to comply with these terms THE WORK IS PROVIDED “AS IS” McGRAW-HILL AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATION THAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE McGraw-Hill and its licensors not warrant or guarantee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted or error free Neither McGraw-Hill nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work or for any damages resulting therefrom McGraw-Hill has no responsibility for the content of any information accessed through the work Under no circumstances shall McGraw-Hill and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages This limitation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise DOI: 10.1036/0071386858 To my fourth grade students, who taught me so much June Heller This page intentionally left blank MATH, GRADE FOUR Contents Skills Checklist ix Introduction Types of Standardized Tests The Major Standardized Tests How States Use Standardized Tests Valid Uses of Standardized Test Scores Inappropriate Use of Standardized Test Scores Two Basic Assumptions A Word about Coaching How to Raise Test Scores Test Questions Chapter Test-Taking Basics What This Book Can Do How to Use This Book Basic Test-Taking Strategies Chapter Addition What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Addition Chapter Subtraction What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Subtraction Chapter Multiplication What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Multiplication of Basic Facts Multiplying with Regrouping What Fourth Graders Should Know What You and Your Child Can Do Patterns Practice Skill: Multiplying with Regrouping 2 3 4 Chapter Division What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Two- and Three-Digit Numbers What Fourth Graders Should Know What You and Your Child Can Do Practice Skill: Division 7 11 11 11 13 13 Chapter Fractions and Probability 15 What Fourth Graders Should Know What You and Your Child Can Do Mixed Numbers What Tests May Ask Practice Skill: Fractions and Probability 15 15 17 17 vii Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use 19 19 19 20 21 22 22 22 23 24 27 27 27 28 28 28 29 29 31 31 32 34 34 35 MATH, GRADE FOUR: GET READY! Chapter Decimals 37 What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Decimals 37 37 39 39 Chapter Standard and Metric Measurements 41 What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Measurement 41 42 43 44 Chapter Geometry What Fourth Graders Should Know What You and Your Child Can Do What Tests May Ask Practice Skill: Geometry 47 47 48 49 49 Appendix A: Web Sites and Resources for More Information 53 Appendix B: Read More about It 57 Appendix C: What Your Child’s Test Scores Mean 59 Appendix D: Which States Require Which Tests 67 Appendix E: Testing Accommodations 77 Glossary 79 Answer Keys for Practice Skills 81 Sample Practice Test 83 Answer Key for Sample Practice Test viii 106 MATH, SKILLS MY CHILD … THROUGH TEENS WITHOUT REGROUPING ADDITION WITH REGROUPING FOUR CHECKLIST HAS LEARNED ADDITION WORD GRADE IS WORKING ON PROBLEMS ESTIMATION ROUNDING SUBTRACTION MULTIPLICATION FACTS THROUGH 12 MULTIPLYING ONE-DIGIT BY TWO-DIGIT NUMBERS MULTIPLYING ONE-DIGIT BY THREE-DIGIT NUMBERS MULTIPLYING WITH REGROUPING SHORT LONG DIVISION WITHOUT REMAINDERS SHORT LONG DIVISION WITHOUT REMAINDERS DIVISION WITH REMAINDERS DIVISION WITH REMAINDERS DIVIDING ONE-DIGIT INTO TWO-DIGIT NUMBERS DIVIDING ONE-DIGIT INTO THREE-DIGIT NUMBERS FRACTIONS: ADDING SAME DENOMINATORS FRACTIONS: ADDING DIFFERENT DENOMINATORS FRACTIONS: SUBTRACTING DIFFERENT DENOMINATORS EQUIVALENT FRACTIONS REDUCING FRACTIONS MIXED NUMBERS: ADDING MIXED NUMBERS: SUBTRACTING PROBABILITY DECIMALS STANDARD METRIC MEASUREMENTS MEASUREMENTS IDENTIFY SOLID SHAPES IDENTIFY ANGLES FIND AREA FIND PERIMETER IDENTIFY LINE SEGMENTS ix Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use MATH, GRADE FOUR: GET READY! How many faces does the figure below have? A B C D 11 104 A parallel B perpendicular C slanted D intersecting What angles are in the figure below? 12 10 The lines below are what? A right angles B obtuse angles C acute angles D no angles The figure below is called a what? 13 What is the area of your living room if two sides are each feet and two sides are each 12 feet? A 12 feet B 24 feet C 32 feet D 96 feet What is the perimeter of Tom’s rectangular skating rink if it is 60 feet long and 50 feet wide? A 200 feet B 220 feet line C 2,200 feet line segment D 22 feet A ray B parallel line C D Cut along dashed line This page intentionally left blank MATH, GRADE FOUR Answer Key for Sample Practice Test Addition C B A C C B C B C 10 A 11 B 12 C Subtraction A B D A B B D B A 10 B 11 A Multiplication C B 10 11 12 13 14 15 16 17 18 A B B D B C C C A C D B D B B A Division C A B A A D C A C 10 C 11 C Fractions and Probability B B C B C A D C B 10 B 11 B Decimals B C A B C A C C D 10 D 11 B Measurement 10 11 12 13 A C B C A A C A D B C C B Geometry B D B C A D D D C 10 C 11 D 12 D 13 B 106 Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use WORKSHEET Copyright 2001 The McGraw-Hill Companies Click Here for Terms of Use WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET WORKSHEET ... Ready! for Standardized Tests: Math, Grade by Kristin Swanson Get Ready! for Standardized Tests: Math, Grade by Susan Osborne Get Ready! for Standardized Tests: Reading, Grade by Molly Maack Get Ready! ... for Standardized Tests: Grade by Leslie E Talbott, Ph.D Get Ready! for Standardized Tests: Grade by Shirley Vickery, Ph.D Get Ready! for Standardized Tests: Math, Grade by Sandy McConnell Get Ready! ... for Standardized Tests: Grade by Joseph Harris, Ph D Get Ready! for Standardized Tests: Grade by Karen Mersky, Ph.D Get Ready! for Standardized Tests: Grade by Joseph Harris, Ph.D Get Ready! for