CAMBRIDGE PRIMARY
Mathematics Games Book
Emma Low and Mary Wood
5
CD-ROM Terms and conditions of use University Printing House, Cambridge cb2 8bs, United Kingdom Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/9781107614741 © Cambridge University Press 2014 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2014 Printed in Poland by Opolgraf A catalogue record for this publication is available from the British Library isbn 978-1-107-61474-1 Paperback Cover artwork: Bill Bolton Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. notice to teachers in the uk It is illegal to reproduce any part of his work in material form (including photocopying and electronic storage) except under the following circumstances: (i) where you are abiding by a licence granted to your school or institution by the Copyright Licensing Agency; (ii) where no such licence exists, or where you wish to exceed the terms of a licence, and you have gained the written permission of Cambridge University Press; (iii) where you are allowed to reproduce without permission under the provisions of Chapter 3 of the Copyright, Designs and Patents Act 1988, which covers, for example, the reproduction for the purposes of setting examination questions. notice to teachers The photocopy masters in this publication may be photocopied or distributed [electronically] free of charge for classroom use within the school or institution that purchased the publication. Worksheets and copies of them remain in the copyright of Cambridge University Press, and such copies may not be distributed or used in any way outside the purchasing institution.
This End User License Agreement (‘EULA’) is a legal agreement between ‘You’ (which means the individual customer) and Cambridge University Press (‘the Licensor’) for Cambridge Primary Mathematics Games Book Stage 5 CD-ROM (‘the Product’). Please read this EULA carefully. By continuing to use the Product, You agree to the terms of this EULA. If You do not agree to this EULA, please do not use this Product and promptly return it to the place where you obtained it. 1. Licence The Licensor grants You the right to use the Product under the terms of this EULA as follows: (a) You may only install one copy of this Product (i) on a single computer or secure network server for use by one or more people at different times, or (ii) on one or more computers for use by a single person (provided the Product is only used on one computer at one time and is only used by that single person). (b) You may only use the Product for non-profit, educational purposes. (c) You shall not and shall not permit anyone else to: (i) copy or authorise copying of the Product, (ii) translate the Product, (iii) reverse-engineer, disassemble or decompile the Product, or (iv) transfer, sell, assign or otherwise convey any portion of the Product. 2. Copyright (a) All content provided as part of the Product (including text, images and ancillary material) and all software, code, and metadata related to the Product is the copyright of the Licensor or has been licensed to the Licensor, and is protected by copyright and all other applicable intellectual property laws and international treaties. (b) You may not copy the Product except for making one copy of the Product solely for backup or archival purposes. You may not alter, remove or destroy any copyright notice or other material placed on or with this Product. (c) You may edit and make changes to any material provided in the Product in editable format (‘Editable Material’) and store copies of the resulting files (‘Edited Files’) for your own non-commercial, educational use, but You may not distribute Editable Materials or Edited Files to any third-party, or remove, alter, or destroy any copyright notices on Editable Materials or Edited Files, or copy any part of any Editable Material or Edited Files into any other file for any purpose whatsoever. 3. Liability and Indemnification (a) The Product is supplied ‘as-is’ with no express guarantee as to its suitability. To the extent permitted by applicable law, the Licensor is not liable for costs of procurement of substitute products, damages or losses of any kind whatsoever resulting from the use of this Product, or errors or faults therein, and in every case the Licensor’s liability shall be limited to the suggested list price or the amount actually paid by You for the Product, whichever is lower. (b) You accept that the Licensor is not responsible for the persistency, accuracy or availability of any URLs of external or third-party internet websites referred to on the Product and does not guarantee that any content on such websites is, or will remain, accurate, appropriate or available. The Licensor shall not be liable for any content made available from any websites and URLs outside the Product or for the data collection or business practices of any third-party internet website or URL referenced by the Product. (c) You agree to indemnify the Licensor and to keep indemnified the Licensor from and against any loss, cost, damage or expense (including without limitation damages paid to a third party and any reasonable legal costs) incurred by the Licensor as a result of your breach of any of the terms of this EULA. 4. Termination Without prejudice to any other rights, the Licensor may terminate this EULA if You fail to comply with any of its terms and conditions. In such event, You must destroy all copies of the Product in your possession. 5. Governing law This agreement is governed by the laws of England and Wales, without regard to its conflict of laws provision, and each party irrevocably submits to the exclusive jurisdiction of the English courts. The parties disclaim the application of the United Nations Convention on the International Sale of Goods.
Contents Number
Estimating angles
47
Remove a digit
1
Triangle snap
53
The counting game
1
Four-in-a-row reflection game
53
Making 100
4
3D shape and net matching
56
Making 1000
4
The translation game
56
Multiplication bingo
7
Measure
Square numbers
7
Mass bingo
59
Sequence bingo
15
Digital clock matching game
59
Sailing boats
15
Making appointments
63
Product pairs
19
Rectangle areas
63
The difference game
19
Perimeter bubbles
68
The money game
23
Measuring lines
68
Find your answer – multiplication
23
Modelling againts the clock
71
Find your answer – division
27
Four-in-a-row calendar game
71
Double, halve or stick?
27
The largest area game
74
Less than
31
The quadrilateral perimeter game
74
Fraction and percentage dominoes
31
Fill the jug
75
Operation dice game
34
Time matching
75
The smoothie ratio game
34
The area game
80
Handling data
Geometry Perpendicular and parallel
39
Shape values
83
The triangle picture game
39
Can you escape from the maze?
83
The cube picture game
44
Handling data trail
88
Three-in-a-row coordinates game
44
Find a pair (mode)
88
Translation swap
47
Introduction This Games Book consolidates and reinforces mathematical learning for Stage 5 learners (usually 9–10 years). It can be used as an independent resource for anyone wanting to encourage mathematical learning in children, or as a supplementary part of the Cambridge Primary Mathematics series.
Cambridge Primary Maths brings together the world-class Cambridge Primary mathematics curriculum from Cambridge International Examinations, high-quality publishing from Cambridge University Press and expertise in engaging online enrichment materials for the mathematics curriculum from NRICH.
If used as part of the series alongside the Teacher’s Resource 5 (9781107658547), then you will often be going directly to a specific game and page number according to the reference in the ‘More activities’ section in the Teacher’s Resource and will therefore already be familiar with the learning outcome of the game. If you are using the book as an independent resource, you can use the Objective map on the CD-ROM to help you determine what game you might want to play according to what learning outcome you are after, or you can simply read the ‘Maths focus’ at the start of each game to decide if it’s appropriate.
Teachers have access to an online tool that maps resources and links to materials offered through the primary mathematics curriculum, NRICH and Cambridge Primary mathematics textbooks and e-books. These resources include engaging online activities, best-practice guidance and examples of Cambridge Primary Maths in action.
The games are grouped by strand, i.e. ‘Number’, ‘Geometry’, ‘Measure’ and ‘Handling data’ so that an independent user can easily navigate the pool of games. For those of you using this book alongside the Teacher’s Resource 5, you will find that the games within a strand are ordered according to the order in which they are referenced in the Teacher’s Resource 5 (if you grouped all chapters of a given strand together). Please note that the Games Book on its own does not cover all of the Cambridge Primary mathematics curriculum framework for Stage 5. All games boards, game cards and record sheets provided within the printed book are also available on the CD-ROM for quick printing if preferred. Some games boards and resources will also be provided as Word documents so that you can adapt them as required. The CD-ROM also provides child-friendly instructions for each game, which can be displayed at the front of the class or sent home with the games for independent play. Nets for making dice, spinners and other useful mathematical resources are also provided as printable PDFs on the CD-ROM. This publication is part of the Cambridge Primary Maths project. Cambridge Primary Maths is an innovative combination of curriculum and resources designed to support teachers and learners to succeed in primary mathematics through best-practice international maths teaching and a problem-solving approach.
The Cambridge curriculum is dedicated to helping schools develop learners who are confident, responsible, reflective, innovative and engaged. It is designed to give learners the skills to problem solve effectively, apply mathematical knowledge and develop a holistic understanding of the subject. The Cambridge Primary Maths textbooks provide best-in-class support for this problem-solving approach, based on pedagogical practice found in successful schools across the world. The engaging NRICH online resources help develop mathematical thinking and problem-solving skills. To get involved visit www.cie. org.uk/cambridgeprimarymaths The benefits of being part of Cambridge Primary Maths are: • the opportunity to explore a maths curriculum founded on the values of the University of Cambridge and best practice in schools • access to an innovative package of online and print resources that can help bring the Cambridge Primary mathematics curriculum to life in the classroom. This series is arranged to ensure that the curriculum is covered whilst allowing teachers to use a flexible approach. The Scheme of Work for Stage 5 has been followed, though not in the same order and there will be some deviations. The components are: • Teacher’s Resource 5 ISBN: 9781107658547 (printed book and CD-ROM). • Learner’s Book 5 ISBN: 9781107638228 (printed book) • Games Book 5 ISBN: 9781107614741 (printed book and CD-ROM). For associated NRICH activities, please visit the Cambridge Primary Maths project at www.cie.org.uk/cambridgeprimarymaths
Remove a digit
The counting game
Maths focus: understanding place value of numbers with up to six digits.
Maths focus: counting on and back in 1000s, 100s, and 10s in order to add and subtract.
A game for two players
A game for two or three players
You will need: • Game board (page 2). • A 1–6 dice (CD-ROM). • A different coloured counter (or alternative) for each player. How to play 1. Both players place their counters on square 1, marked on the game board. 2. Players take turns to roll the dice and move forward that number of spaces on the game board. 3. If a player lands on a shaded square with a number displayed in large print, the player checks to see if the number contains a digit that matches their dice score. If it does, the player performs one subtraction to change the digit to zero. The player then moves forward the number on the dice again. 4. If a player lands on an unshaded square, or if the number on the game board does not contain a digit that matches the number on the dice, play passes to the other player. 5. Players may challenge an incorrect calculation. If the calculation is incorrect, the player misses their next turn. 6. The winner is the first player to reach or pass square 64.
You will need: • Game board (page 3). • A set of 0–9 digit cards (CD-ROM). • A 1–6 dice (CD-ROM). • A different coloured counter (or alternative) for each player. How to play 1. All players place their counters on ‘Start’. 2. Each player takes three of the 1–9 digit cards. They arrange the cards to make any three-digit number, which they write at the top of their column of the grid. 3. Players take turns to throw the dice and move their counter around the board. They add or subtract according to the instructions on the spaces they land on and write their new number in their column. 4. Where the path goes in two directions players can choose which way to go. 5. Once all players have reached the finish, the player with the score closest to 3000 is the winner.
Example: 3456 on the square and 5 on the dice. The 5 is in the tens place, so we need to subtract 5 tens (50) to reduce the tens digit to zero.
Cambridge Primary Mathematics Games Book 5: Number
1
2
1
Remove a digit – Game board
164
15
18
16
4321
17
31
32
3612
34
47
33
654 321
48
50
49
246 135
63
64
3
54 123
14
19
30
563 412
35
46
51
123 456
62
35
4
13
36 152
20
29
36
45
52
61
6
531 246
11
22
27
241 365
38
43
54
4562
59
7
10
126 543
23
26
39
23 651
42
55
58
3654
8
9
24
34 561
25
40
41
3456
56
57
Original material Š Cambridge University Press 2014
43 512
5
12
21
12 546
28
37
44
36 214
53
60
Start
Subtract 800
Add 200
Add 500
Add 3000
Add 1000
Subtract 100
Player 1
Finish number
Choose a direction
Choose a direction
➡
Add 700
Add 600
Subtract 1000
Subtract 40
Add 200
Add 80
Player 2
Finish number
Original material © Cambridge University Press 2014
Add 500
Subtract 300
Add 900
Subtract 200
Finish
Add 5000
Add 800
Player 3
Finish number
Counting – Game board
Making 100
Making 1000
Maths focus: finding the total of more than three two-digit numbers using a written method.
Maths focus: Finding the total of more than three three-digit numbers using a written method.
A game for two or more players
A game for two or more players
You will need: • A game card for each player (page 5). • A 1–6 dice. How to play 1. Each player needs a game card for adding four two-digit numbers. 2. Players take turns to throw the dice. After each throw all players write the number on the dice into one of the boxes on their card. Continue until all the boxes for are full. 3. Each player adds their two-digit numbers together, using which ever method they find reliable and efficient, and writes down their total. 4. The player whose total is closest to 100 is the winner.
4
Cambridge Primary Mathematics Games Book 5: Number
You will need: • A game card for each player (page 6). • A 1–6 dice. How to play 1. Each player needs a game card for adding four three-digit numbers. 2. Players take turns to throw the dice. After each throw all players write the number on the dice into one of the boxes on their card. Continue until all the boxes are full. 3. Each player adds their three-digit numbers together, using which ever method they find reliable and efficient, and writes down their total. 4. The player whose total is closest to 1000 is the winner.
Making 100 – Game cards
!
!
!
"
!
!
!
"
!
!
!
"
!
!
!
"
Original material Š Cambridge University Press 2014
Making 1000 – Game cards
!
!
!
"
!
!
!
"
!
!
!
"
!
!
!
"
Original material Š Cambridge University Press 2014
Multiplication bingo
Square numbers
Maths focus: revising multiplication facts to 10 # 10.
Maths focus: recognising and finding square numbers to 10 # 10.
A game for a leader and up to 40 players You will need: For the leader: • Game cards (page 8). • A check sheet (uncut copy of the game cards). For each player: • A game board (pages 9–13). • 15 counters. How to play 1. The leader shuffles the game cards, then calls out one question at a time. 2. Each card can be read in different ways. For example, 3 # 8 can be read as: 3 times 8 8 times 3 3 multiplied by 8 8 multiplied by 3 the product of 3 and 8 the product of 8 and 3. 3. As each question is used, the leader places the game card on top of the matching question on the check sheet. 4. Players who have the answer on their game board cover it with a counter. 5. The first player to cover all their answers shouts ‘Bingo’ and is the winner. The leader checks the winner’s game board by comparing the numbers on the board with the cards placed on the check sheet.
A game for two players You will need: • Game board (page 14). • A 1–10 spinner (CD-ROM). • 20 counters (ten of one colour and ten of a different colour). How to play 1. Players take turns to spin the spinner, square the number and choose a hexagon on the game board that contains their number. 2. The player places a counter over their chosen square number. 3. The first player to place four of their counters in a row – horizontally or diagonally – is the winner.
Cambridge Primary Mathematics Games Book 5: Number
7
Multiplication bingo – Game cards
2#2
2#3
2#4
2#5
2#6
2#7
2#8
2#9
2 # 10
3#3
3#4
3#5
3#6
3#7
3#8
3#9
3 # 10
4#4
4#5
4#6
4#7
4#8
4#9
4 # 10
5#5
5#6
5#7
5#8
5#9
5 # 10
6#6
6#7
6#8
6#9
6 # 10
7#7
7#8
7#9
7 # 10
8#8
8#9
8 # 10
9#9
9 # 10
10 # 10
Original material Š Cambridge University Press 2014
Multiplication bingo – Game boards 4
6
16
18
21
6
9
10
18
21
6
9
16
18
20
24
28
32
35
42
24
28
30
32
42
25
28
32
35
42
45
56
63
81 100
45
56
64
81 100
48
50
63
70
81
4
9
15
16
20
6
8
14
18
20
4
9
12
15
21
21
28
30
35
45
27
28
32
36
42
24
25
30
32
45
49
56
63
70
81
48
60
64
72
80
49
54
64
72
80
4
6
10
16
20
8
9
12
14
24
25
28
35
36
42
25
27
32
35
40
45
50
56
72
90
49
54
63
81 100
Original material Š Cambridge University Press 2014
6
8
10
18
24
4
6
15
16
21
8
9
10
14
20
27
28
30
35
42
24
27
32
36
42
21
28
30
36
42
45
56
63
81 100
48
60
64
70
81
48
60
64
70
81
4
8
15
16
24
6
9
14
18
21
6
8
12
14
20
27
28
30
32
45
24
27
32
35
40
24
27
32
35
48
49
50
56
72
90
49
54
63
81 100
49
54
64
72
90
4
9
10
16
24
4
8
12
15
20
6
9
12
15
20
25
28
30
35
42
25
27
32
35
40
27
28
30
32
45
48
50
63
72
80
49
50
63
72
90
49
54
63
72
90
Original material Š Cambridge University Press 2014
Multiplication bingo – Game boards
6
8
15
16
21
4
9
10
18
24
4
6
14
18
24
24
25
32
35
40
25
27
32
36
42
27
28
35
36
42
42
60
64
70
81
48
56
63
81 100
45
50
56
72
80
4
9
16
18
21
6
8
12
15
24
8
9
15
16
21
24
27
32
35
42
25
28
30
35
42
24
28
30
32
45
48
50
56
72
80
45
54
63
72
90
49
54
64
70
81
4
6
10
18
20
4
8
14
18
20
6
9
10
16
20
25
27
32
36
48
21
24
32
35
40
27
28
30
35
42
49
50
63
81 100
49
60
64
70
81
48
50
56
72
80
Multiplication bingo – Game boards
Original material Š Cambridge University Press 2014
8
9
14
18
24
4
8
10
16
20
6
8
16
18
20
25
28
35
36
45
25
27
30
32
42
21
28
32
35
45
49
50
56
72
80
48
54
63
72
90
49
56
63
70
81
4
9
12
14
20
6
8
16
18
24
8
9
10
18
20
25
28
32
36
42
25
27
32
35
45
25
28
30
32
48
45
54
63
72
90
48
50
63
81 100
49
50
56
72
90
4
6
12
15
20
8
9
10
18
21
6
9
14
18
20
25
28
35
36
45
24
25
32
36
42
25
28
32
36
42
49
54
64
70
81
45
56
63
72
80
48
50
63
72
90
Original material Š Cambridge University Press 2014
Multiplication bingo – Game boards
4
9
12
14
21
4
8
10
16
21
4
8
15
16
24
24
28
30
35
42
24
25
35
36
48
25
27
30
35
42
45
54
64
81 100
49
56
63
81 100
45
54
63
72
80
4
6
12
15
20
6
9
12
14
24
27
28
32
36
42
27
28
30
32
45
48
60
64
72
80
49
60
64
70
81
Multiplication bingo – Game boards
Original material Š Cambridge University Press 2014