Oxford Mathematics 2

Student Book PY P O x ford Ma thema tics Pr imar y Year s Programme A n n ie Fac ch i net t i

1 Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trademark of Oxford University Press in the UK and in certain other countries. Published in Australia by Oxford University Press Level 8, 737 Bourke Street, Docklands, Victoria 3008, Australia. © Oxford University Press 2019 The moral rights of the author have been asserted First published 2019 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by licence, or under terms agreed with the reprographics rights organisation. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above. You must not circulate this work in any other form and you must impose this same condition on any acquirer. ISBN 978 0 19 031221 3 Edited by Laura Davies Illustrated by Ben Whitehouse Typeset by Newgen KnowledgeWorks Pvt. Ltd., Chennai, India Proofread by Vanessa Lanaway, Red Dot Scribble Printed in China by Leo Paper Products Ltd Acknowledgements Cover and internal: Shutterstock

To the teacher Ox ford Mathemat ics PY P prov ides st udent s w it h g u ided a nd i ndependent work to suppor t mat hemat ica l sk i l ls a nd u nder st a nd i ngs, a s wel l a s oppor t u n it ies for problem - solv i ng i n rea l-world contex t s. Teacher s w i l l f i nd t he suppor t i ng mater ia ls clea r, comprehen sive a nd ea sy to u se. W h i le t he ser ies of fer s complete coverage of t he PY P mat hemat ics scope a nd sequence, teacher s ca n a lso u se t he topics t hat f it wel l w it h ot her a rea s of work to suppor t st udent lea r n i ng across t he PY P c u r r ic u lu m. Student Books Each topic feat u res: • Gu ided prac t ice – a worked exa mple of t he concept, fol lowed by t he oppor t u n it y for st udent s to pract ise, suppor ted by ca ref u l sca f fold i ng • Independent prac t ice – f u r t her oppor t u n it ies for st udent s to con sol idate t hei r u nder st a nd i ng of t he concept i n d i f ferent ways, w it h a decrea si ng a mou nt of sca f fold i ng • E x tended prac t ice – t he oppor t u n it y for st udent s to apply t hei r lea r n i ng a nd ex tend t hei r u nder st a nd i ng i n new contex t s. Differentiation D i f ferent iat ion is key to en su r i ng t hat ever y st udent ca n access t he c u r r ic u lu m at t hei r poi nt of need. In add it ion to t he g radu a l relea se approach of t he St udent Book s, t he Teacher Book s help teacher s to choose appropr iate pat hways for st udent s, a nd prov ide act iv it ies for st udent s who requ i re ex t ra suppor t or ex ten sion.

O x ford Ma thema tics Pr imar y Year s Pro gramme 2 C ontents N U M B E R , PAT T E R N A N D F U NCT ION M E A SU R E M E N T, S H A P E A N D S PACE Unit 1 Number and place value 2 Unit 5 Using units of measurement 64 1. Place value 6 1. Length and area 68 2. Adding in your head 11 2. Metres and centimetres 73 3. Exploring addition 17 3. Volume and capacity 77 4. Subtracting in your head 22 4. Mass 81 5. Exploring subtraction 28 5. Time 85 6. Multiplying 32 6. Measuring time 89 7. Dividing 7. Months and seasons 93 8. Using addition and 36 8. Calendars subtraction facts Unit 2 Fractions and decimals 40 Unit 6 Shape 97 1. Fractions of objects 44 1. 2D shapes 101 2. Fractions of groups 2. 3D shapes Unit 7 Location and transformation Unit 3 Money and nancial mathematics 1. Interpreting maps 105 1. Notes and coins 48 2. Slides and ips 10 9 2. Counting money 52 3. Half turns and quarter turns 113 Unit 4 Patterns and algebra DATA H A N DL I NG 1. Describing patterns 2. Number sentences 56 60 Unit 8 Data representation and interpretation 1. Collecting data 117 2. Collecting and classifying data 121 3. Representing and interpreting data 125 Unit 9 Chance 129 1. Chance Glossar y 133 Answers 141

UNIT 1: TOPIC 1 Place value This is a one. This is 12 ones This is 120 ones OR 1 ten and 2 ones. OR 1 hundred and 2 tens. Guided practice 1 How many? In a 3-digit number, the rst digit is hundreds, the second is tens and the third is ones. a b c d 2 Write the numbers. a b c 2 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 This is 354. 2 This is 206. hundreds tens 3 This is 423. ones OX FOR D U N I V E RSI T Y PR E S S hundreds tens ones hundreds tens ones 3

4 a In 849, the 9 is in the ones place. How many: tens? hundreds? b In 347, the 4 is in the tens place. How many: ones? hundreds? c In 413, how many: hundreds? tens? ones? d In 508, how many: 5 Draw 216. Ho w many different ways can you rename 216? 4 OX FOR D U N I V E RSI T Y PR E S S

Extended practice Use the digits to make: 1 a the biggest number. b the smallest number. 8 3 6 c the biggest number with 8 in the ones place. d 2- digit numbers. 2 Write a digit on each balloon. Use the digits to make: a the biggest number. b the smallest number. 3 a The smallest number is: 114 207 b The numbers bigger than 115 are: 104 297 97 141 279 OX FOR D U N I V E RSI T Y PR E S S 5

UNIT 1: TOPIC 2 Adding in your head 11 + = 11 + + = 22 + 2 = 24 + = + + = + = Guided practice Kno wing 8 + 8 can help 1 me work out 8 + 9. Use doubles to help you add. a 8+9=8+8+ = 1 6 + = b 10 + 13 = 10 + 10 + = + = c 15 + 17 = 15 + 15 + = + = d 12 + 13 = 12 + 12 + = + = e 14 + 15 = 14 + 14 + = + = 6 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 Add these doubles. a 7+7 = b 11 + 11 = c 16 + 16 = d 20 + 20 = e 25 + 25 = f 50 + 50 = 2 Add these near doubles. a 7+9= + + = + = b 11 + 13 = + + = + = c 16 + 17 = + + = + = d 20 + 23 = + + = + = e 25 + 27 = + + = + = OX FOR D U N I V E RSI T Y PR E S S 7

28 + = 28 + + = 30 + 4 + It ’s easier to add numbers = 34 to a tens number like 10, 20 or 30. Guided practice + 1 Add by getting to a 10. + a 17 + 6 = 17 + 3 + + = 20 + = OX FOR D U N I V E RSI T Y PR E S S b 29 + 8 = 29 + + = 30 + = c 38 + 5 = 38 + + = 40 + = 8

Independent practice 1 Draw getting to a 10 to solve the equations. a 18 + 9 = + + = + = b 26 + 7 = + + = + = 2 Solve by getting to a 10. a 25 + 8 = + + = + = b 37 + 6 = + + + = = OX FOR D U N I V E RSI T Y PR E S S 9

Extended practice 1 Use doubles to help you f ind the answers. a 20 + 22 = b 25 + 28 = c 30 + 33 = d 4 0 + 42 = e 50 + 51 = f 55 + 57 = 2 Use getting to a 10 to solve these in your head. a 28 + 9 = b 36 + 8 = c 47 + 5 = d 59 + 7 = e 66 + 6 = f 78 + 7 = 3 Choose which method you will use, then solve the equations. Near G e t ting a 39 + 7 = doubles to a 10 Near G e t ting b 4 0 + 41 = doubles to a 10 Near G e t ting c 10 0 + 102 = doubles to a 10 10 OX FOR D U N I V E RSI T Y PR E S S

UNIT 1: TOPIC 3 Exploring addition +1 +1 +1 +1 +1 +1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 13 + 6 = 19 Guided practice Start from the bigger number when you are adding on the number line! Find the answers with the number lines. 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9+5= 2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 11 + 7 = 3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 + 18 = 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 23 + 5 = OX FOR D U N I V E RSI T Y PR E S S 11

Independent practice Why is it easier to start from the bigger number? Use the number lines to f ind the answers. 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 19 + 8 = 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 24 + 6 = 3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 7 + 14 = 4 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 5 + 21 = 5 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 32 + 10 = 12 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Show on the number lines and solve. a 14 + 5 = b 21 + 6 = c 32 + 7 = 2 Solve on the number lines. a 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 23 + 12 = b 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 35 + 24 = OX FOR D U N I V E RSI T Y PR E S S 13

6+3+4 = 6+4+3 = 4+3+6 is the is the same as same as Guided practice Fill in the gaps. When might it be useful to change the order of the numbers you are adding? 1 5+4 = 4+ = 9 2 7+2+4 = 7+ + = 3 4+6+5 = +5+ = 14 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 Draw and solve. a 7+5+1 = + + = b 2+9+4 = + + = c 8+1+7 = + + = 2 Fill in the gaps. a 4+7+5= + + = + + = b 1+9+4= + + = + + = OX FOR D U N I V E RSI T Y PR E S S 15

Extended practice 1 Fill in the missing numbers. Can you change the order of the numbers when you are doing subraction? a +5+7= + 8 + 7 = 20 b 6+9+ =4+9+ = 19 c 8+3+4=4+ + = d 22 = 9 + 7 + = +7+9 e 19 = +4+7=7+8+ 2 Use the numbers to make 3 addition sums. a 3, 5, 7, 15 + + = + + = + + = = b 8, 2, 9, 19 + + + + = + + = = c 9, 21, 7, 5 + + + + = + + = 16 OX FOR D U N I V E RSI T Y PR E S S

UNIT 1: TOPIC 4 Subtracting in your head 24 – = 24 – – = 20 – 2 It ’s easier to subtract numbers from a tens = 18 number like 10, 20 or 30. Guided practice 17 1 Subtrac t by getting to a 10. a 13 – 4 = 13 – 3 – = 10 – = b 21 – 5 = 21 – – = 20 – = c 32 – 5 = 32 – – = 30 – = OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 Show getting to a 10 to solve the equations. a 14 – 8 = – – = – = b 25 – 7 = – – = – = 2 Solve by getting to a 10. a 22 – 6 = – – = – = b 35 – 8 = – – – = = 18 OX FOR D U N I V E RSI T Y PR E S S

22 – 18 Count up from 18 to 20. 18 = 20 Count up from 20 to 22. 20 = 22 The dierence between 18 and 22 is ( ), so 22 – 18 = 4. Guided practice 1 Count up to f ind the answers. a 13 – 5 Count up from 5 to 10. 5+ = 10 Count up from 10 to 13. 10 + = 13 The dierence between 13 and 5 is 5 + 3 OR . So 13 – 5 = . b 24 – 19 Count up from 19 to 20. 19 + = 20 Count up from 20 to 24. 20 + = 24 The dierence between 19 and 24 is + OR . Why do we count up from the smaller number? So 24 – 19 = . OX FOR D U N I V E RSI T Y PR E S S 19

Independent practice 1 Fill in the gaps. a 14 – 8 Count up from to . 8+ = Count up from 10 to . 10 + = The dierence between 14 and 8 is + OR . So 14 – 8 = . b 23 – 17 17 + = 20 + = So 23 – 17 = . 2 Count up to f ind the dierence. a 16 – 9 = b 0 1 2 3 4 5 6 7 8 9 10 11 25 – 19 = 20 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Use getting to a 10 to solve in your head. a 12 – 4 = b 15 – 8 = c 21 – 9 = d 32 – 6 = e 46 – 7 = f 53 – 5 = 2 Count up to f ind the answers. a 18 – 7 = b 22 – 15 = c 35 – 23 = d 38 – 27 = e 43 – 36 = f 48 – 29 = 3 Choose which strategy to use and solve in your head. G e t ting Counting a 28 – 16 = to a 10 up G e t ting Counting b 34 – 8 = to a 10 up G e t ting Counting c 41 – 34 = to a 10 up OX FOR D U N I V E RSI T Y PR E S S 21

UNIT 1: TOPIC 5 Exploring subtraction –1 –1 –1 –1 –1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 19 – 5 = 14 Guided practice Which way do you go on the number line when you are subtracting? Find the answers with the number lines. 1 14 – 6 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 18 – 7 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 23 – 8 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 27 – 9 = 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 22 OX FOR D U N I V E RSI T Y PR E S S

Independent practice Use the number lines to f ind the answers. 1 28 – 7 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 2 25 – 8 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3 34 – 6 = 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4 43 – 9 = 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 4 8 – 12 = 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 OX FOR D U N I V E RSI T Y PR E S S 23

Extended practice 1 Show on the number lines and solve. a 19 – 4 = b 28 – 8 = c 33 – 7 = d 36 – 14 = 2 Solve on the number lines. a 37 – 4 – 5 = 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 b 41 – 7 – 6 = 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 24 OX FOR D U N I V E RSI T Y PR E S S

If I know 5 + 7 = 12, I also know 12 – 5 = 7 and 12 – 7 = 5. Guided practice 1 Write two subtrac tion fac ts Why do both subtraction equations start with the same number? to match the addition fac t. 16 – 1 0 = 6 a 6 + 10 = 16 16 – 6 = b 15 + 4 = 19 19 – = 19 – = – 9= c 9 + 11 = 20 – 11 = 23 – = d 16 + 7 = 23 – = OX FOR D U N I V E RSI T Y PR E S S 25

Independent practice 1 Fill in the gaps. a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 13 + 5 = 18 18 – = 5+ = 18 18 – = b 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 16 + = 24 – 8 = 16 8 + 16 = 24 24 – =8 c 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 + = – 7 = 25 7+ = – 25 = 7 2 Write a matching subtrac tion fac t. a 8 + 6 = 14 – = = b 16 + 10 = 26 – = = c 13 + 12 = 25 – d 11 + 27 = 38 – 26 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Write addition and subtrac tion fac ts to match the pic tures. a + = – = + = – = b + = – = + = – = 2 Solve on the number lines and use addition to check your answers. a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 24 – 5 = + = 24 b 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 35 – 12 = + = 35 OX FOR D U N I V E RSI T Y PR E S S 27

UNIT 1: TOPIC 6 Multiplying 2+2+2+2=4×2=8 2 4 6 8 0 1 2 3 4 5 6 7 8 9 10 11 12 Guided practice Show on the number lines and f ill in the blanks. 1 3+3+3= × = Where would I land if I added another 3? 0 1 2 3 4 5 6 7 8 9 10 11 12 2 5+5+5+5+5= × = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Fill in the blanks. 3 3 6 9 + + + + = 15 12 15 threes are × = 28 OX FOR D U N I V E RSI T Y PR E S S

Independent practice Write the equation. 1 × = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 × = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 × = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Show on the number line. 4 3×5= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6×2= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 OX FOR D U N I V E RSI T Y PR E S S 29

6 7×3= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Write an equation to match the array. × = × = 9 × = Draw the array. I wonder if 4 × 5 is the same as 5 × 4. 10 3×6= 11 4×5 = 30 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 If the kangaroo continues, will she land on … ? 14 Yes No 18 Yes No 20 Yes No 23 Yes No 21 Yes No 30 Yes No 2 How many donuts? Show how you got your answer. 3 Draw three dierent arrays of 12 counters. × = 12 × = 12 × = 12 OX FOR D U N I V E RSI T Y PR E S S 31

UNIT 1: TOPIC 7 Dividing How many groups of 2 in 8? 8 divided into groups of 2 gives 4 groups OR 8 ÷ 2 = 4 8–2=6 6–2=4 4–2=2 2–2=0 What does “equal groups” mean? Guided practice 1 Draw circles to make equal groups of: a 4 12 – 4 = –4= –4=0 12 divided by 4 is 12 ÷ 4 = b 3 15 – 3 = –3= –3= –3= –3= 15 divided by 3 is 15 ÷ 3 = 2 Equal or unequal shares? a b Equal Unequal Equal Unequal 32 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 Share the items equally and f ill in the blanks. a 9– = – = – = 9 divided by 3 = 9÷3= b 12 – = – = – = 6– = – = – = 12 divided by 6 = 12 ÷ 6 = c 10 – = – = 10 divided by 2 = 10 ÷ 2 = OX FOR D U N I V E RSI T Y PR E S S 33

2 Make the shares equal. a 12 ÷ = b 25 ÷ = c 24 ÷ = 3 Write the equation. What is 4 × 5? a b ÷ = ÷ = 34 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Draw 3 ways to equally share 16. 16 ÷ = 16 ÷ = 16 ÷ = 2 There are 4 students in each row. How many rows of students in a class of: 12? 20? 28? 3 Circle the groups that can be shared equally between 3. OX FOR D U N I V E RSI T Y PR E S S 35

UNIT 1: TOPIC 8 Using addition and subtraction facts If we remember some things ... we can work out other things. I am Sam. I am 7. 4+2=6 4+2=6 6−2=4 60 − 20 = 40 6−2=4 So, 4 0 + 2 0 = 6 0. So, 6 0 − 2 0 = 4 0. So, 6 0 − 4 0 = 2 0. Practice helps us to remember. Guided practice 1 Write and remember these addition fac ts. a + = b + = 2 Write and remember these subtrac tion fac ts. a – = b – = 3 Write these addition and subtrac tion fac ts from memory. a 7+6= b 8+5= c 15 – 7 = d 5+8= e 18 – 9 = f 15 – 8 = 36 OX FOR D U N I V E RSI T Y PR E S S

Independent practice Let’s look at some ways to help you learn addition and subtrac tion fac ts. 1 3 a 6+7=? complete the addition fac ts as quickly as you can. 6 + 7 = 6 + 6 + 1 = 12 + 1 = 13. 1+1= 1+2= 1+3= 1+4= 1+5= 1+6= 7+8= + + 1+7= 1+8= 1+9= 2+1= 2+2= 2+3= = + 2+4= 2+5= 2+6= 2+7= 2+8= 2+9= = 3+1= 3+2= 3+3= 7 2 Use getting to a 10. 3+4= 3+5= 3+6= 3 6 3+7= 3+8= 3+9= 7+9=? 4+1= 4+2= 4+3= 10 + 6 = 16 4+4= 4+5= 4+6= a 9+6= + + 4+7= 4+8= 4+9= 5+1= 5+2= 5+3= = + 5+4= 5+5= 5+6= 5+7= 5+8= 5+9= 6+1= 6+2= 6+3= = 14 6+4= 6+5= 6+6= 14 – 8 = ? 4 6+7= 6+8= 6+9= 4 7+1= 7+2= 7+3= 10 – 4 = 6 7+4= 7+5= 7+6= 7+7= 7+8= 7+9= b 17 – 8 = – – 8+1= 8+2= 8+3= 8+4= 8+5= 8+6= = – 8+7= 8+8= 8+9= 9+1= 9+2= 9+3= = 9+4= 9+5= 9+6= 9+7= 9+8= 9+9= OX FOR D U N I V E RSI T Y PR E S S 37

4 On a separate piece of paper, 5 Circle the more likely answer. complete the subtrac tion fac ts a 86 as quickly as you can. 4 8 + 4 8 = or 10 – 1 = 9–1= 8–1= b 96 7–1= 6–1= 5–1= 4–1= 3–1= 2–1= 42 10 – 2 = 9–2= 73 – 31 = or 11 – 2 = 41 8–2= 7–2= 6–2= c 74 5–2= 4–2= 3–2= 47 + 27 = or 12 – 3 = 11 – 3 = 10 – 3 = 64 9–3= 8–3= 7–3= d 48 6–3= 5–3= 4–3= 89 – 51 = or 13 – 4 = 12 – 4 = 11 – 4 = 38 10 – 4 = 9–4= 8–4= 6 This is Jasmin’s homework. 7–4= 6–4= 5–4= 13 – 5 = 12 – 5 = Explain what went wrong then 14 – 5 = 10 – 5 = 9–5= 11 – 5 = write the correc t answer. 8–5= 7–5= 6–5= a 17 – 9 = 26 ✘ 15 – 6 = 14 – 6 = 13 – 6 = 12 – 6 = 11 – 6 = 10 – 6 = 9–6= 8–6= 7–6= 16 – 7 = 15 – 7 = 14 – 7 = 13 – 7 = 12 – 7 = 11 – 7 = b 14 + 15 = 28 ✘ 10 – 7 = 9–7= 8–7= 17 – 8 = 16 – 8 = 15 – 8 = 14 – 8 = 13 – 8 = 12 – 8 = 11 – 8 = 10 – 8 = 9–8= 18 – 9 = 17 – 9 = 16 – 9 = c 35 – 8 = 28 ✘ 15 – 9 = 14 – 9 = 13 – 9 = 12 – 9 = 11 – 9 = 10 – 9 = 38 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Billy has 50 marbles in one bag and 30 in another. Tilly has 4 8marbles in one bag and 4 8 in another. a Who has more? b How do you know? 2 This sentence has 25 letters: I like to have a bir thday par ty. Write a dierent sentence that has 25 letters. Draw a pic ture to go with it. 3 Enter 710 on a calculator. Turn it upside down. 7 8 9 / 4 5 6 x Can you see the word “oil”? 1 2 3 0 . = + a What do you need to add to 350 to get the word “oil”? b What can you eat if you subtrac t 37 from 70 0? c Subtrac t 62 from 4 0 0 to nd a busy insec t. d Find other 3 - digit numbers that make calculator words. OX FOR D U N I V E RSI T Y PR E S S 39

UNIT 2: TOPIC 1 Fractions of objects This is a This is a This is a This is an whole. half. quar ter. eighth. 1 1 1 1 2 4 8 Guided practice 1 Draw a square around the whole objec ts. 2 Circle the frac tions. 3 Colour 1 of each shape. 2 Ho w many halves make a whole? 40 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 What frac tion has been shaded? 2 Write the size of each piece as a frac tion. 3 Look at question 2. Which frac tion is the biggest? 4 Look at question 2. Which frac tion is the smallest? OX FOR D U N I V E RSI T Y PR E S S 41

5 Label the frac tions. There are pieces. There are pieces. c Ho w many quarters make a half? There are pieces. 6 1 1 1 1 4 2 8 7 Write the letter of the shape in question 6 that shows: a halves b eighths c quar ters 42 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Circle the pic tures that show quar ters. 2 a Shade 1 purple. 2 b Shade 1 red. 8 c Shade 1 green. 4 3 Divide into: a halves. b quar ters. c eighths. OX FOR D U N I V E RSI T Y PR E S S 43

UNIT 2: TOPIC 2 Fractions of groups whole 1 half 1 quar ter 1 eighth 1 2 4 8 1 1 1 or Is , bigger? 8 2 4 Guided practice 1 Colour 1 of each group. 2 2 Colour 1 of each group. 4 3 Colour 1 of each group. 8 44 OX FOR D U N I V E RSI T Y PR E S S

Independent practice 1 What frac tion is this? 2 What frac tion of the group are … a the yellow blocks? b the red blocks? c the blue blocks? OX FOR D U N I V E RSI T Y PR E S S 45

3 a Circle 1 . b Circle 1 . 2 4 1 of 4 is . 1 of 8 is . 2 4 c Circle 1 . d Circle 1 . 8 4 1 of is . 1 of is . 8 4 4 What does the number on the bottom of the fraction mean? a Colour 1 red. 2 b Colour 1 blue. 4 c Colour 1 green. 8 46 OX FOR D U N I V E RSI T Y PR E S S

Extended practice 1 Circle which is bigger. a 1 of 20 OR 1 of 16 2 4 b 1 of 24 OR 1 of 2 8 2 c 1 of 16 OR 1 of 16 OR 1 of 16 4 8 2 2 What frac tion of the group are … a girls? b wearing hats? c girls AND wearing hats? OX FOR D U N I V E RSI T Y PR E S S 47