HOW TO BE A Math Wizard Written by Dr. Anne-Marie Imafidon US_001_Half_title.indd 1 05/12/2019 13:22 Contents 4 Foreword by Dr. Anne-Marie Imafidon Written by Dr. Anne-Marie Imafidon 6 How this book works Consultants Sean McArdle, Meryl Glicksman 8 Getting ready Editors Sally Beets, Kathleen Teece Senior designers Katie Knutton, Ann Cannings 1 Edible math US editor Elizabeth Searcy US senior editor Shannon Beatty 12 Counting Additional editorial Katie Lawrence, Abigail Luscombe 14 Edible abacus Design assistants Eleanor Bates, Katherine Marriott 16 Watermelon fractions Additional design Emma Hobson, Aishwariya Chattoraj, Nidhi Mehra 18 Spinning snack decider Illustrations Mark Ruffle, Katie Knutton, 20 Weighing scales DTP designer Nityanand Kumar 22 Measuring Project picture researcher Sakshi Saluja 24 Smoothie servings Jacket coordinator Issy Walsh Jacket designer Katie Knutton 26 Shapes Publishing manager Francesca Young 28 Marshmallow shapes Managing editors Laura Gilbert, Jonathan Melmoth 30 Tessellating cookies Managing art editor Diane Peyton Jones Preproduction producer Dragana Puvacic 2 Toys and games Senior producer Ena Matagic Creative directors Clare Baggely, Helen Senior 36 Joan Clarke Publishing director Sarah Larter 38 Cipher wheel First American Edition, 2020 Published in the United States by DK Publishing 40 Adding 1450 Broadway, Suite 801, New York, NY 10018 41 Subtracting Copyright © 2020 Dorling Kindersley Limited 42 Animal number bonds DK, a Division of Penguin Random House LLC 20 21 22 23 24 10 9 8 7 6 5 4 3 2 1 44 Make your own currency 001–316131–May/2020 48 Multiplication All rights reserved. 50 Dividing clay Without limiting the rights under the copyright reserved above, no part of this publication may be reproduced, stored in or introduced 52 Division into a retrieval system, or transmitted, in any form, or by any means (electronic, mechanical, photocopying, recording, or otherwise), without the prior written permission of the copyright owner. 3 Out and about Published in Great Britain by Dorling Kindersley Limited A catalog record for this book 56 Buildings is available from the Library of Congress. ISBN 978-1-4654-9303-3 58 Zaha Hadid DK books are available at special discounts when purchased in bulk 60 Shape city for sales promotions, premiums, fund-raising, or educational use. 66 Möbius loop For details, contact: DK Publishing Special Markets, 1450 Broadway, Suite 801, New York, NY 10018 68 Rainwater measures [email protected] 70 Natural symmetry Printed and bound in China 72 Rotating starfish A WORLD OF IDEAS: SEE ALL THERE IS TO KNOW 74 Nature array www.dk.com 76 Times-table flowers US_002-003_Contents.indd 2 06/12/2019 12:02 Contents 4 Getting around 80 Time 84 Timing helicopters 86 Distance competition 88 Decimals 90 Make a marble run 94 Gladys West 96 Picture algorithm 98 Measure a circle 5 Around the home 102 Make a calendar 104 Printing patterns 106 Create a floor plan 108 Benjamin Banneker 110 Sunflower size 112 Treasure map coordinates 116 Computer math 118 Tomohiro Nishikado 6 Your body 122 Make your body clock 126 Finger place value 128 What are statistics? 130 Data discovery 134 Angles 136 Did you know? 138 Glossary 140 Index 144 Acknowledgments US_002-003_Contents.indd 3 06/12/2019 12:02 13 12 11 10 9 8 7 6 5 4 3 2 P Q R 1 A B C D E F G H I J K L M N O 4 US_004-005_Foreword.indd 4 05/12/2019 13:18 I was excited to write this book and share my love of math with you. It’s something that has fascinated me since I was your age and continues to amaze me with every new thing I learn. Math is about solving problems and being creative. The world is full of problems waiting to be solved. Many people around the world work as scientists, engineers, technologists, and in hospitals—all of them use math skills to help people and create solutions. I hope you’ll be able to use your creativity as you try the activities packed into this book. As you turn the pages, you’ll realize that math isn’t just about the classroom or homework. It’s all over our world and is done by almost everyone every day. The food you eat, the buildings you visit, and your own body—all are made possible by a fantastic balance of mathematics. Math shows up everywhere. Before you get started, I have one special request for you. When you learn a cool new bit of math, read about an amazing person, or build something new from this book, share it with your friends and family. Help them be math wizards with you! Have conversations with the people around you whenever and wherever you see math. Keep talking and thinking about it— maybe one day you’ll get to write a book about it too. Anyone can be a math wizard. Let’s get you started! Dr. Anne-Marie Imafidon 5 US_004-005_Foreword.indd 5 05/12/2019 13:18 How this Awesome activities Learn on the job with the works activities throughout this book book, which show key ideas within math. There are also crafts to make math devices, such as an In How to be a Math Wizard, you will learn abacus, and memory aids that help you remember how to think and act like a mathematician. important facts. The book is packed with fun activities, important topics, and people who have used their math skills to do amazing things. You will need Marshmallows Sstpraangdhsetti “Now try...” Everything you Marshmallow Tish ais v meratresxh mofa tllhoew Now try... suggestions need for an pyramid. Can you create more shapes help you with marshmallows and activity is listed shapes trisapnagguhleatr tpi?r iTsrmy— tao sbhuailpde t hthisa t build on new is made of two triangles at the start. connected to each other. knowledge. You can build 3-D shapes using marshmallows and dry spaghetti. The marshmallows sit at the corners, This spaghetti 3 and each piece of spaghetti forms sotfr athned pisy raanm eidd.ge an edge. Master the shapes on Pouf te aacnho tshpearg mheatrtsi hsmtraanlldo.w C oonnn teocpt 3 spBagrihnegt ttih set rtahnredes these pages, and see which other the marshmallows with four more together, and add a ones you can build! strands to finish your cube. confnineaclt m tahresmhm. Yaolluo wno two have a triangular pyramid! Build a cube Build a pyramid Make sure each strand reaches the same height. Each activity is broken down 1 2 1 2 into steps. Connect four marshmallows using four strands Poke another spaghetti strand into the Break three spaghetti strands Poke one spaghetti strand into of spaghetti to make a square. You’ll need to top of each marshmallow. These should into equal lengths, and use them each marshmallow. The spaghetti break the spaghetti strands so that they are stick up out of the marshmallows. to connect three marshmallows. should be pointing upward. all equal in length. Don’t poke them all the way through the marshmallows. 28 29 Safety first Take particular care when • you are using sharp objects, All of the projects in this such as scissors; ! book should be done • you are running around carefully. If you see this with friends; symbol at the top of a page, it means that you will need • you are handling hot food; an adult to help you with • you are outside—always tell the activity. an adult what you are doing. 6 US_006-007_How_the_book_works.indd 6 05/12/2019 13:19 You will need Card Ruler Spheanrcpil Scissors Markers Pen Statcickky ! Turn to page 128tsota lteisatrincs about Look out for What is probability? “Turn to...” bars Trace over this 1 hanexd acguotn it o onu cta.rdboard, Pidsre otfoibn ahitbaepillyipt yhe anisp. hpAoenwny t hlhiakinesg lay tpshoraomtb weatiblhli ilnitgy leading you to of one. If it will never happen, then related pages. it has a probability of zero. Draw a favorite snack in each segment, 3 and color them in. When you throw a die, there are six possible Donraew s naat clek amsto r e oouuttccoommees i.s T ohnee p oruotb oafb isliitxy, oorf 1g/e6.tting each than once so that tdhifef esrneanctk csh haanvcee s Feature boxes of being landed on. The introduction A one-in-six chance provide more can also be called lets you know a probability of 1/6. information Spinning which area of about the math you’re 4 math behind snack decider exploring. Ca asrheafurpll yp epnucsihl the activity. through the center of the hexagon into Probability is the chance of 2 some sticky tack on a something happening. We can ssupirnfa tchee. Nspoiwnn yeoru t oc adne cide calculate probability and use it Using a ruler and which snack to eat! pencil, divide the to predict what might happen in hexagon into six the future! Let’s start by using equal segments. Tonh eoruer a srpei ntwneor ,m saon tghoeeres it to choose a snack. iosf ait t lwanod-iinn-gs ioxn c mhaanncgeo . 18 19 Decimals The decimal point Decimals and fractions Money Any number that comes after a decimal Fractions are another way to write numbers point is smaller than one. This is called We often use decimals in real life when smaller than one. Any decimal can also be written a decimal number. The farther away a we use money to buy or sell things. Many as a fraction, and vice versa. To get the decimal digit is from the point, the smaller it is. currencies (types of money) are whole version of a fraction, use a calculator to divide Decimals are a way of showing Everything to the left of the point is a amounts and decimals. the top number by the bottom number. Top topics numbers smaller than one. We whole number. Eonaceh-h cuenndtr (e¢d)t ihs Learn about some of the wwrhiitceh t lhoeomks a jfutsetr laik dee ac ipmearli opdo.int, DeWcimhoalle p nouinmtbers1.25Decimal numbers $1 5¢of a dollar ($). Tninsuuh cmmea beltloeerapdrt othr.e 0¼.o2r 5 One divided by four is 0.25. The bottom Tenths, hundredths, and thousandths number is called key math topics, such Iafs y ao ud edciivmidael. oDnivei dbiyn g1 0o,n yeo buy g 1e0t 0on geiv-teesn ytho,u w ohniec-hh iusn wdrreitdtethn, aosr 00..011 , 5¢ 25¢ the denominator. as division, measuring, and dividing it by 1,000 gives you one-thousandth, or 0.001. 10¢ = $1.45 0.5 and decimals. These 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Otwnoe idsi v0i.d5e.d by ½or will support and build There are 10 tenths in one. Tenths Time anruem tbheer ,f isrustc hd iagsit t ihne a 1 d ienc 0im.1a.l Ethaec ht elinnteh sb esthwoewesn Sproemciesteimlye, fso wr eex naemepdl eto t om feinadsu orue tt iwmheo v weroyn on what you’ve learned a hundredth. a very close race. Tiny fractions of time are shown as decimals on stopwatches. 0.75 through the craft projects. There are 010.05 h1undre0dt.h5s 2in one, a0n.d5 3 0.54 0.55 0.56 0.57 0.58 0.59 Wsophfoh oitnohwtlee.n d soeencc oitmhnead lsl e afrte Tofh ias sise cao tnedn.th This is a ¾or Tfohurre eis d0iv.7id5e.d by 10 in each tenth. Hundredths are the hundredth second digit in a decimal number, Each line between of a second. such as the 1 in 0.51. tshheo whus nad trheoduthssa ndth. This is a thousandth 0.551 0.552 0.553 0.554 0.555 0.556 0.557 0.558 0.559 of a second! 1 One is neither a fraction nor a decimal! There are 1,000 thousandths in one, and 10 in each hundredth. Thousandths are the third digit in a decimal number, such as the 1 in 0.551. 8888 8899 Gladys PThienrep aroe siantetlliitnesg in olrobict aabotvieo ynou now! Satellites Math heroes send out signals, which tell computers on Earth—such as smartphones and tablets—how far away they are. West Using this information, the computer can calculate its location exactly. Meet the inspirational Mathematician • Born in 1930 • From the United States people who have Gladys West realized as a young girl that she didn’t want to work on her parents’ farm. Instead, she chose to study Computer wizardry math and science. Her calculations and discoveries help Gbyla hdayns dd,i das l owtse lol fa csa ulcsuinlagt ieoanrsly used math to make millions of us navigate the world each day using a digital computers. She would program map system called GPS (Global Positioning System). rfaoinnoddm oo-tushitze terh dpe l“ aslocuecpaset oriconon mE oapfr utohtce.e rAasln”l st o a difference in the of this programming helped AGwlhasidctyhsr a sorteun udnioepdiml olotteisdc o safp dla acGteac rclaoafltled ocrtybeidsti nbgy (scaitrcellilnitge)s , Sgainbaacttolehuuledtlir itln oeingtsfs woc oaremfna t at hhtiienorgn. s , doveever ltohpe GwPoSr,l dw thoidcha yis. used all Celebrating Gladys world. And remember: EawPnalaurdstt o hot .hba Sjeneh dcceo tt snah lniesne o psc lgptaiaaontcnehet eb. NrOeeetndwpe tie nuoefnfon eGr h mlmaoadowtyvi oset’hn.se ad bdisowcuoatvr fep rlpailenasne test wo“rkWinhge ne vyeoruy’ rdea y, GfrFeooladrr dcimseyca soHn vwayel alry esoendfa ’.tFr Ss ar.he mHewe’osa!w rndeoevwde rif,no h rte hhree w rU oinmriktp ewodrat Sast nraett ceweson Artkliyr anyone can learn to you’re not thinking, ‘What impact is this be a math wizard. going to have on the world?’ You’re thinking, ‘I’ve got to get this right.’” 94 95 7 US_006-007_How_the_book_works.indd 7 05/12/2019 13:19 Getting You’ll need pens and pencils to do calculations, make notes, and draw shapes. ready You can do many of the activities in this book right away. Rummage around at home to see if you can gather the items you need. Here You’ll need scissors to cut things out. are instructions on how to use some of the most important math tools you’ll need. A ruler will help you draw straight lines and measure things. Using a protractor cAe prtraoitnr asciztoer. Fcaonllo hwe ltph yeosue dstraewps a tno alenagrlne hoof wa . Ftmhoeera arsingughreltem, sue fsnaetc stinh.ge se Fthoer alenfgt,l euss efa tchinegse 1 vfoDiernrrsa tttew hlxie na (ee cs onotrdrfna .y eiTgorhh)u.itrs l aiwnniegll l web eiat hnth dae id tso t 2 spLtoianirnett iun wpgi ttlihhn eet h poerfo dytoroatuc, rta oanrnd’sg t lcheee n ter measurements. with the baseline. 3 Draw a dot above the omf etahseu arenmgleen yto suh owwainntg t oth der aswiz.e 4 tDor acwre aat elin yeo ubre tawngeelen! the dots Baseline Center point 8 US_008-009_Getting_ready.indd 8 05/12/2019 13:19