Consultants:Ed Lewis and Jim Grant
Michelle Weeks
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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.
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Acknowledgements
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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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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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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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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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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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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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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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