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Uncorrected Sample Pages . Primary Maths Student Activity Book Year 1 . ISBN: 9780521745291 . 1st Pages Copyright: Cambridge & Weeks . Customer Service Number: 03 8671 1400

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cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Tokyo, Mexico City

Cambridge University Press 477 Williamstown Road, Port Melbourne, vic 3207, Australia

www.cambridge.edu.auInformation on this title: www.cambridge.org/9780521745291

© Greg Weeks 2012 This publication is in copyright. Subject to statutory exceptionand to the provisions of relevant collective licensing agreements,no reproduction of any part may take place without the writtenpermission of Cambridge University Press.

First published 2012

Cover design by Susannah LowTypeset by Sylvia WitteIllustrations by Dee Texidor and Lorenzo LuciaPrinted in China by C & C Offset Printing Co. Ltd.

ISBN 978-0-521-74529-1 Paperback

Reproduction and communication for educational purposesThe Australian Copyright Act 1968 (the Act) allows a maximum of one chapter or 10% of the pages of this publication, whichever is the greater, to be reproduced and/or communicated by any educational institution for its educational purposes provided that the educational institution (or the body that administers it) has given a remuneration notice to Copyright Agency Limited (CAL) under the Act.

For details of the CAL licence for educational institutions contact:

Copyright Agency LimitedLevel 15, 233 Castlereagh StreetSydney NSW 2000Telephone: (02) 9394 7600Facsimile: (02) 9394 7601Email: [email protected]

Reproduction and communication for other purposesExcept as permitted under the Act (for example a fair dealing for the purposes of study, research, criticism or review) no part of this publication may be reproduced, stored in a retrieval system, communicated or transmitted in any form or by any means without prior written permission. All inquiries should be made to the publisher at the address above.

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. Information regarding prices, travel timetables and other factual information given in this work are correct at the time of first printing but Cambridge University Press does not guarantee the accuracy of such information thereafter.

Acknowledgements

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Contents

iii Contents

Page TitleNumber and Algebra

Number and Place Value

Whole Numbers

1 Transport teens

2 Dotty numbers

3 Two-digit numbers

4 Ordinal numbers

5 Counting by 10s

6 Place value

7 Before and after numbers

8 The value of numbers

9 Numbers to 50

10 Base 10 counting

11 Highest or lowest

12 Counting by 5s

Addition and Subtraction

13 Space addition

14 Subtraction in space

15 Adding to 10

16 Number line addition

17 Number line subtraction

18 Counting on

19 Counting back

20 Pocket money addition

21 Subtraction in shopping

22 Doubles

23 Fruity number sentences

24 Blocks of 10

25 Friends of 10

26 Look for a 10

27 Take it to the next 10

28 Addition problems

29 Subtraction problems

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Contents iv

Multiplication and Division

30 Counting by 2s, 5s and 10s

31 Groups of 2

32 Groups of 5

33 Arrays

34 Multiplying rows

35 Hat arrays

36 Sharing eggs

37 Animal leg antics

38 Sharing

39 Number line multiplying

40 Calculator work

Fractions and Decimals

41 Halves

42 Quarters

43 Half of a collection

44 Party fractions

45 Fraction problems

Financial Maths

46 The value of money

47 Money

48 Money to buy

49 Comparing money

Patterns and Algebra

50 Balancing number sentences

51 Fruity equations

52 Number patterns

53 Odd and even

54 Counting by 2s

55 Place value

Measurement and GeometryUsing Units of Measurement

Length

56 How long?

57 Longest to shortest

58 Measure the creatures

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v Contents

59 Measure distances

60 Measuring with shoes

61 Measure your classroom

62 Make your own tape measure

Area

63 Comparing area

64 Beach cover up

65 Colour the areas

66 Frame work

67 Estimate and measure areas

68 Covering surfaces

Volume and capacity

69 Taking up space

70 Volume of objects

71 Ordering containers

72 Filling containers

73 Pouring problems

74 How many cups?

Mass

75 Animal masses

76 Hefting

77 Using an equal arm balance

78 Measuring mass

79 Balancing objects

Time

80 Months of the year

81 Seasonal fun

82 Calendar work

83 Duration

84 O’clock/half-past

85 Telling time

86 Half-past

Shape

Three-dimensional Space

87 Matching 3D objects

88 Objects in the environment

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Contents vi

89 Backyard 3D

90 Matching shapes

91 Describing 3D objects

92 3D object maze

93 Sketching objects

Two-dimensional Space

94 Shapes

95 Looking at shapes

96 Features of shapes

97 Trapeziums

98 Shapes in flags

99 Naming shapes

100 Making shapes

101 Symmetry

102 Patterns in symmetry

Location and Transformation

103 Where is it?

104 Building a town

105 Drawing paths

106 School of fish

107 Left or right?

108 Position in the sea

109 Find the treasure

110 Way home

111 Following instructions

Statistics and ProbabilityChance

112 Possible and impossible

113 How likely?

Data

114 Insect problems

115 Organising animals

116 Simple graphs

117 Graphing transport

118 Collecting data

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vii Introduction

Introduction

Students learn mathematical skills and concepts in everyday life as they interact with their environment and the people around them. They pose and answer questions, recognise and represent numbers, count, estimate and calculate, measure, identify shapes and investigate spatial relationships.

Primary Maths Student Activity Book 3 provides a series of mathematics activities that encourage students to think about situations and problems, talk to others about their ideas and develop their own strategies as confident learners. In keeping with the Australian mathematics curriculum, Primary Maths fosters the development of the four proficiency strands – Understanding, Fluency, Problem solving and Reasoning – through the wide range of activities that it offers the student. These activities address and develop the descriptions and elaborations of the Australian curriculum’s three content strands, as outlined below.

Within the Primary Maths Student Activity Book 3 there are links to our subscription-based Cambridge HOTmaths website, a comprehensive interactive maths learning system for both teachers and students. Cambridge HOTmaths offers various educational tools to assist with maths learning, ranging from walkthrough problems to interactive widget animations, worksheets, and online drill and practice. This content is connected to a powerful reporting system that provides comprehensive reports on student progress and understanding.

Number and AlgebraPrimary Maths promotes the use of number and mathematical concepts so that students can understand the properties of whole numbers and perform operations with numbers, using efficient mental and written strategies and appropriate technologies. Primary Maths develops students’ understanding of fractions by using visual representations, helping students model and represent unit fractions which will then feed into operational techniques in later years. Problems involving calculations with money will develop students’ ability to represent money values in multiple ways and count the change required for simple transactions.

Mathematics involves a search for patterns and relationships. Accordingly, describing, continuing and creating number patterns using subtraction and addition are important skills developed by using Primary Maths.

Measurement and GeometryNumber ideas are further developed in the context of measurement activities in Primary Maths. Objects are investigated in terms of their length, area, mass, volume and capacity. Estimation is encouraged and measurements are recorded using numbers and metric units. The measurement of time is examined and students will tell time to the minute and investigate the relationship between units of time.

Students further develop their understandings of location by using simple grid maps to represent position and pathways.

Primary Maths investigates the shape, size, pattern, position and movement of everyday objects to develop students’ skills of spatial visualisation. Students identify and model three-dimensional objects and describe key features. Angles are identified as measures of turn and angle sizes compared in everyday situations.

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Introduction viii

Statistics and ProbabilityIn the probability activities, students investigate the outcomes of chance situations. They increase their understandings by identifying and describing possible outcomes and by recognising variation in results.

While undertaking statistics activities, students identify questions or issues for categorical variables and identify data sources, plan methods of data collection and recording of data.

They collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs. Students will then interpret and compare data displays.

Page elementsThe Primary Maths Student Activity Books use a system of subtle colour coding to indicate the level of difficulty of the questions, which is outlined below:

1 yellow – beginning2 blue – consolidation3 red – extension

The red arrow on the pages indicates a challenge question.

Reference throughout the books is made to Maths-in-a-Box 2 from our successful Maths-in-a-Box series that can be used in conjunction with the books to provide additional support and enrichment. Discussion icons are indicated throughout the books to highlight areas where class or small-group discussion can take place.This icon indicates material that has been included to ensure smooth and sensible bridging between the year levels. The authors of Primary Maths have presented a thorough and pedagogically sound interpretation of the Australian mathematics curriculum. They have also included material that they feel offers a whole and complete course and complements the core content to ensure students receive a complete understanding of the material.

In addition, purple boxes contain information to help students recall past learning, or offer hints and further explanation of difficult concepts.

Cambridge HOTmaths iconsCambridge HOTmaths flames are positioned throughout the book indicating links to relevant interactive material available at the Cambridge HOTmaths site. www.hotmaths.com.au

A complete list of all relevant Cambridge HOTmaths material can be found on the HOTmaths contents pages following.

The following icons on the HOTmaths contents pages illustrate the various types of additional material available on the HOTmaths site:

Widgets (interactive activities)

Walkthroughs (step-by-step demonstration of mathematical concepts)

HOTsheets (a variety of PDF worksheets that build upon concepts)

Cambridge HOTmaths is a live, dynamic and ever growing resource. Notifications on changes and additions to HOTmaths information post publication can be found here. www.cambridge.edu.au/primarymaths

1

MiB 2

Cards

10 & 16

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