100 IDEAS FOR TEACHING PRIMARY MATHEMATICS CONTINUUM 100 IDEAS FOR THE EARLY YEARS SERIES 100 Ideas for Teaching Communication, Language and Literacy – Susan Elkin 100 Ideas for Teaching Creative Development – Wendy Bowkett and Stephen Bowkett 100 Ideas for Teaching Knowledge and Understanding of the World – Alan Thwaites 100 Ideas for Teaching Personal, Social and Emotional Development – Judith Thwaites 100 Ideas for Teaching Physical Development – Simon Brownhill 100 Ideas for Teaching Problem Solving, Reasoning and Numeracy – Alan Thwaites CONTINUUM ONE HUNDREDS SERIES 100+ Ideas for Managing Behaviour – Johnnie Young 100+ Ideas for Teaching Creativity – Stephen Bowkett 100+ Ideas for Teaching Thinking Skills – Stephen Bowkett 100 Ideas for Supply Teachers: Primary School Edition – Michael Parry 100 Ideas for Essential Teaching Skills – Neal Watkin and Johannes Ahrenfelt 100 Ideas for Assemblies: Primary School Edition – Fred Sedgwick 100 Ideas for Lesson Planning – Anthony Haynes 100 IDEAS FOR TEACHING PRIMARY MATHEMATICS Alan Thwaites Continuum International Publishing Group The Tower Building 80 Maiden Lane 11 York Road Suite 704 London New York, NY 10038 SE1 7NX www.continuumbooks.com © Alan Thwaites 2008 All rights reserved No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage or retrieval system, without prior permission in writing from the publishers Alan Thwaites has asserted his right under the Copyright, Designs and Patents Act, 1988, to be identified as Author of this work British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library ISBN: (paperback) 978 18470 6381 Library of Congress Cataloging-in-Publication Data A catalog record for this book is available from the Library of Congress Designed and typeset by Ben Cracknell Studios | www.benstudios.co.uk Printed and bound in Great Britain by Cromwell Press, Wiltshire CONTENTS ACKNOWLEDGMENTS ix INTRODUCTION xi S E C T I O N Short number activities and games ADD AND TAKE 10 11 12 13 14 15 16 17 18 19 20 21 22 23 ODD AND EVEN MATCHING PAIRS NOUGHTS AND CROSSES 1: FOUR RULES TABLES 1: SPEED ISLANDS LARGEST AND SMALLEST CIRCLE TIME 10 FIRST TO THE FACT 11 ROUND THE WORLD 12 MAKE 50! 13 STEP BY STEP 15 LET’S BE POSITIVE OR NEGATIVE 17 TABLES 2: BINGO 18 HIGHER OR LOWER 19 HANGMAN 20 GIVE ME THE FRACTION 21 SEQUENTIAL PATTERNS 22 WHAT’S MY NUMBER? 23 BUZZ FIZZ 24 MATHS CONSEQUENCES 25 THE DIVIDE SLIDE 27 IN YOUR PRIME 29 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 WHAT’S THE HIGHEST? 30 DOUBLES AND QUADS 32 FRACTION DOMINOES 33 WHAT’S MY NAME? 34 REMEMBER ME 35 HOW MANY WAYS? 36 SORTED FOR NUMBER 38 GET THE WORD 39 FIRST TO TEN 40 NOUGHTS AND CROSSES 2: COORDINATES 42 HAPPY FAMILIES 43 CRACK THE CODE 44 BUS STOP 45 TIDDLYWINKS 47 WINNING COUNTERS 48 GONE FISHING 49 PATHWAYS 51 DIVIDE AND RULE 52 COMPUTER CALCULATOR 53 GET COORDINATED 54 SPOTS AND NUMBERS 55 THE SIMPLE CARD GAME 56 PE MATHS 57 MYSTERY SUMS 58 KEEP IT ON YOUR HAT 59 SECTION 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 Investigations and longer activities SORTED FOR COLOURS 62 NUMBERS SHAPING UP 63 TEA TIME 64 DOUBLE YOUR MONEY 65 TABLES 3: READY RECKONER 66 TABLES 4: SQUARE PUZZLES 68 MAGIC SQUARES 69 RATIO AND PROPORTION 70 KNOW YOUR ROOTS 72 CROSS-NUMBER PUZZLES 73 HUNT THE NUMBER 75 MAIL ORDER SHOPPING 76 TABLES 5: GRAPHS 77 TRIANGLE, SQUARE, CUBE 79 THE LITTLE BOOK OF NUMBERS 80 TABLES 6: FIND THE PATTERN 82 PROBABILITY: DICE 84 PROBABILITY: CARDS 86 LETTERS AND WORDS: THE MEAN, MODE AND MEDIAN 88 S E C T I O N Measures and time 68 MORE OR LESS CENTIMETRES 69 70 71 72 73 74 75 92 WHAT’S THE TIME, MR WOLF? 93 A NEW ANGLE 94 PLAYGROUND MEASURES 95 TWICE AS SHARP: BISECTING ANGLES 96 CUBES IN A BOX 97 MINUTE WALK 98 PROBLEM MEASURES 99 76 77 78 79 80 81 82 83 84 TV TIMES 100 WHAT IS A CUPFUL? 101 TIMETABLES 102 PROTRACTED DESIGNS 103 HOW HIGH IS A FOOT? 104 GUESS 250 106 THE THOUSAND TO ONE GAME 107 CALENDAR OF CALENDARS 108 ANALOGUE V DIGITAL 109 SECTION 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Shape, space and design MR SQUARE AND MRS CIRCLE 112 VENN SHAPES 113 FOLLOW MY SHAPE 114 KIM’S SHAPE GAME 115 COMPLETE THE CIRCLE 116 CIRCLES TAKING SHAPES 117 DESIGNER LINE 119 SHAPES ON PARALLEL LINES 121 SHAPE UP! 122 THE GREAT QUADRILATERAL INVESTIGATION 123 TETRAHEDRON 124 AREA V PERIMETER 126 LEAFY AREA 127 TRIANGLES FROM COMPASSES 128 STRETCHING AND ENLARGING 130 SIMPLY TESSELLATION 131 ACKNOWLEDGEMENTS Many thanks to Judith Thwaites for her patience, ideas, encouragement and proofreading The ideas in this book have been collected and used over a number of years, but many have been refreshed and tested further with the enthusiastic help and support of staff and pupils at Sandown School, Hastings ix .. .100 IDEAS FOR TEACHING PRIMARY MATHEMATICS CONTINUUM 100 IDEAS FOR THE EARLY YEARS SERIES 100 Ideas for Teaching Communication, Language and Literacy – Susan Elkin 100 Ideas for Teaching. .. Bowkett 100 Ideas for Teaching Knowledge and Understanding of the World – Alan Thwaites 100 Ideas for Teaching Personal, Social and Emotional Development – Judith Thwaites 100 Ideas for Teaching. .. Creativity – Stephen Bowkett 100+ Ideas for Teaching Thinking Skills – Stephen Bowkett 100 Ideas for Supply Teachers: Primary School Edition – Michael Parry 100 Ideas for Essential Teaching Skills – Neal