Mathematics - Grade 3 Workbook : Mastering Arabic Numbers : A Workbook with Self-Teaching Text and Learning Exercises PDF
Preview Mathematics - Grade 3 Workbook : Mastering Arabic Numbers : A Workbook with Self-Teaching Text and Learning Exercises
$1.29 MATHEMATICS"-^ 0, GOLDEN Mastering Arabic Numerals A Workbook with Self-Teaching Text and Learning Exercises by IRVING ADLER, Ph.D. •• • l|l|l l|l|l|l|l|l|l| III | 1 1 I 1 f t I | I j I 1 1 1 1 i i | 1 1 '] • m n * ii il t TO THE PARENT AND TEACHER — MATHEMATICS GRADE 3 is based on a careful studyofthe methods used to teach mathe- matics both in this country and abroad. The aim is to develop understanding as a founda- tion for skill. The book includes the best practices found anywhere and has the freshness and originality that are characteristic of all the author's books. In this book, the third in a series of six addition and subtraction are extended to larger , numbers, and the first steps in multiplication and division are introduced. The book begins with a quick review of the basic addition and subtraction facts, proceeds with several methods of thinking out more advanced sums and differences, and ends with examples based on the place-value concept. Multiplication is developed through ten times two, ten times three, ten times four, and ten times five. The concept of division into equal groups is applied to division into groups of two, three, four, and five. Drill exercises, often in the form of games, are provided, with verbal problems and tests. Other concepts and skills developed include: fourths, thirds, multiplication by one, counting money, making change, use of the dollar sign, the calendar, telling time at five- minute intervals, the thermometer, and measurement with a ruler. To strengthen his understanding of number ideas, each child should work with groups of objects in the ways suggested by the exercises in the book. A kit of suitable objects for this purpose should include: several strings of beads, with ten beads on each string; card- board squares, and strips containingten squares in a row; pennies, nickels, dimes, quarters, and half-dollars; checkers, buttons, and dominoes. ABOUT THE AUTHOR Irving Adler received his Ph.D. in pure mathematics at Columbia University. He was a teacher in the New York schools for twenty years, including six years as chairman of a high- school mathematics department. Dr. Adler has taught at Columbia University and Benning- ton College, and was the keynote speaker at the Washington conference of state super- visors of mathematics, called by the U. S. Office of Education in June, 1961. He is the author of about fifty books on mathematics, science, and education, and co-author of thirty more. MATHEMATICS-GRADE 3 Mastering Arabic Numerals A Workbook with Self-Teaching Text and Learning Exercises by IRVING ADLER, Ph.D. Author of The Giant Golden Book of Mathematics, The New Mathematics, and Magic House of Numbers Illustrated by Dick Martin Copyright ©1965 Western Publishing Company, Inc. All rights reserved. GOLDEN®. GOLDEN® &DESIGN, andAGOLDEN BOOK® aretrademarksofWesternPublishingCompany, Inc. A GOLDEN® BOOK Western Publishing Company, Inc. Racine, Wisconsin 53404 Nopartotthisbook maybereproducedorcopied inanyform withoutwritten permissionfromthepublisher. Produced inU.S.A. Thirty-eighth Printing, 1983 One One Hundred to Write the numbers from one to one hundred on the beads of this frame. n \t~ r~ i n 6 i M)GO€ * . Woods John Is lost In the woods. Help him Continue in this way, moving one find his way home. Start in the box box at a time, to 3, 4, 5, and so on, in the middle where the number 1 is. until you reach 35 on the road home. Move one box up or down or right or When you have found the path out of left or through a corner to a box with the woods, draw a line from box to the number 2. ox to show it. page 3 Counting by Twos, Fives, and Tens Write the numbers you say when you In the first square write count by tens up to 100. Then put circles — the number shown on the around the numbers you say when you ••••• ••••• ••••• • frame. Then count by twos int by twenties. up to 60. Count by fives up to 100. In the first square write ••••> M> the number shown on the >•>•• «> ••••• frame. Then count by fives up to 100. Write the number shown by the beads on each frame. ••••• In the first square write ••••• ••••• the number shown on the — ••••• •• frame. Then count by tens up to 95. page 4 Counting Money A \ One dime is worth 1 $. One nickel is worth *. One penny worth One quarter worth is *. is u To find the value in cents of a group of coins, add 25 for each quarter, 10 for each dime, 5 for each nickel, and 1 for each penny. This is called counting money. Example 10 Count the money shown in this picture. Write under the coins the numbers you say as you count. Value: ^W * S W 2S il Itj Count by fives until you have 25$. Cross out the coins left over. One quarter is worth the same One quarter is worth dimes and a as IT nickels. nickel. You can exchange 1 nickels for one One dime is worth a nickel dime. and *C pennies. page 5 Dollars and Half Dollars Count the money shown by each group of coins. Under the coins write the num- bers you say as you count. The value of each quarter is shown by the dimes and nickels at the right. Count the dimes and nickels by tens and fives to answer these questions: One quarter worth is Two quarters are worth Three quarters are worth A dollar is worth the same as four quarters. A dollar is worth This coin is worth half A dollar is worth the same as of a dollar. dimes. worth It is $, A half dollar is worth the same as or quarters. dimes. page 6 Using a Dollar Sign $1.00 means 1 dollar and no cents. $4.75 means dollars and cents. $1.15 means dollar and 15 cents. $3.48 means dollars and cents. $2.34 means dollars and cents. $7.29 means dollars and cents. l$5.62 means dollars and cents. $8.56 means dollars and cents. Change for a Half Dollar John bought a book for 28*. He paid for it with a half dollar. The storekeeper put out these coins for change, starting at the left. Under the coins are the numbers he said as he made change. Count the change. worth It is $. Each of the purchases shown below was paid for with a half dollar. Use some of the coins shown with each purchase to make change. Write under the coins you use the numbers you say as you make change. Next cross out the coins you do not use. Then count the change. page 7 Each purchase below was paid for with a half dollar. Follow the directions on page 7 for making change. The change itself worth is Price: 420 // The change V itself worth is tMM i Price: 170 Put five pennies, two nickels, and two dimes on your desk. Use the coins to make change for each purchase. Then count the change to see how much it is worth. Price: 240 A half dollar was paid. Price: 11* A quarter was paid. There is in change. There is in change. Price: 3€ * A half dollar was paid. Price: 16* A quarter was paid. There is in change. There is in change. Price: 3CH A half dollar was paid. Price: 12 A quarter was paid. If There change. There change. is in is in page 8
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