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Published by R.I.C. Publications www.ricgroup.com.au
Teac he r
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New Wave Maths for WA – C
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© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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Published by R.I.C Publications PO Box 332, Greenwood Western Australia 6924 ©Robert Dayman 2003 ISBN 1 86311 679 6 Copyright Notice No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system without written permission from the publisher.
Foreword
My Goals for the Year This year in maths, I …
This book has been written especially to help you learn about mathematics in a fun way, with lots of activities.You will notice it is printed in full colour and uses many photos. Why? To help you understand that maths is real and around you every day, everywhere. Enjoy yourself!
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Yes
No
Did I achieve my goal?
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This year in maths, I hope to learn …
© R. I . C.Pub ca t i ons Didl Ii achieve my goal? •Contents f orr evi ew puThis r p o es o l y…• year ins maths, I hope ton improve
ii
Student Information
iii
Term One Overview
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Term Two Overview
v
Term Three Overview
vi
Term Four Overview
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1 – 30
Term One—Units 1 – 10
31 – 60
Term Two—Units 11 – 20
61 – 90
Term Three—Units 21 – 30
91 – 120
Term Four—Units 31 – 40
121
Essential Facts—General
121
Essential Facts—Number
122
Essential Facts—Measurement
123
Essential Facts—Space
124
Essential Facts—Chance and Data
125 – 127
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Yes
Did I achieve my goal?
Yes
No
Yes
No
This year in maths, I plan to focus on …
Blank Pages for Working Out
128
How Did I Go?
129
The Year in Review Did I achieve my goal?
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New Wave Maths for WA Book C • i •
Student Information Here is a brief outline how each page in the workbook is set out and how to complete the different parts.
Number Choose and use the method of calculation you think best suits the number activity on the page.
Circle, colour or tick your preferred method for completing the problems. Make sure you try a different method each time. Rate your choice according to how suitable your chosen method was in completing the activity.
Mental
Written
Calculator
Mental—Work it out in your head and write your answer on the page. Written—Show your working out on the page. Calculator—Use a calculator and write your answer on the page.
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Main Activity
This activity can be completed using any concrete materials or mathematics resources you like. Photographs and diagrams have been used where possible to help you complete the activity.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Indicator
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This has been included for your information. It tells you what is expected of you when completing the activity.
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100 Grid This 100 grid might be useful when adding, subtracting or counting. Use it whenever you like!
• ii • New Wave Maths for WA Book C
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Term One Week Unit
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3
1
2
3
Page
S2.1—Follow guidelines to colour scribble patterns.
1
N2.1a—Locate numbers on a 1 – 100 grid according to specific questions.
2
M2.2—Measure distances using paces and handspans.
3
N2.1a—Locate ordinal and cardinal numbers on a number grid.
4
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C&D2.3, C&D2.4—Gather, record and analyse data.
5
N2.1a—Use a number grid to assist in rounding activities.
6
S2.1, WM2.2—Draw a plan for a specific purpose.
7
N2.4—Investigate and describe patterns.
8
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Outcomes
M2.3—Estimate the length or amount of given items.
4
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N2.4—Identify and describe number patterns. C&D2.1, C&D2.3—Investigate and record chance activities. N2.1a—Record results of trading games with Base 10 MAB.
6
7
5
6
7
S2.2, WM2.2—Identify 3-D shapes in the environment.
10
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© R. I . C.Publ i cat i ons WM2.2,WM2.3—Work mathematically to explain and compare the best approach to solve a problem. •f orr evi ew pur posesonl y• C&D2.4, C&D2.2—Collect, record and analyse data.
16 17
N2.1a—Recognise coin values and count amounts of money.
18
S2.3—Identify symmetry in 2-D shapes.
19
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M2.2, N2.4—Compare the area of objects and regions.
N2.2, N2.4, S2.2,WM2.2 —Build models with cubes and describe the number patterns made.
8
11
14
N2.1b—Recognise fractional amounts using diagrams.
8
10
N2.1a, S2.2, WM2.2—Record results of trading games with Base 10 MAB. Build models with cubes.
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N2.4—Use a number grid to find and describe patterns.
20 21 22
C&D2.2—Classify items in categories.
23
N2.1b—Recognise fractional amounts using diagrams.
24
S2.4, S2.2—Use spatial criteria to identify attributes of 3-D and 2-D objects.
25
N2.1b—Recognise fractional amounts using diagrams.
26
M2.2,WM2.1—Recognise times on analog clocks.
27
N2.1a, N2.4—Use a number grid to find and describe patterns.
28
C&D2.2, M2.2, WM2.1—Classify items in categories.
29
N2.1a—Recognise coin values and count and make up amounts in different ways.
30
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New Wave Maths for WA Book C • iii •
Term Two Week Unit
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3
11
12
13
Page
S2.2, M2.2, WM2.3—Identify shapes that tessellate.
31
N2.1a—Recognise coin values and count and share amounts of money.
32
M2.2—Use arbitrary units and a balance beam to order given items by mass.
33
N2.1a—Recognise coin values and count and make up amounts in different ways.
34
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C&D2.2, C&D2.4—Collect, record and analyse data.
35
N2.2—Use concrete materials to assist in solving number stories.
36
S2.2—Record features and draw figures of 2-D shapes.
37
N2.2, WM2.3—Use a calculator to solve number problems involving a constant function.
38
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Outcomes
WM2.1, WM2.2—Analyse objects to brainstorm mathematical concepts related to a real-life activity.
15
N2.2, WM2.2—Use concrete materials to assist in creating number stories.
41
N2.2—Use a calculator to assist in solving multiplication and repeated addition problems. Use Base 10 MAB to assist in solving number stories.
42
S2.2—Draw 2-D shapes according to specific instructions.
43
© R. I . C.Publ i cat i ons M2.2,WM2.1—Recognise times on analog clocks. •f oramounts r ev ew pur posesonl y• N2.1a—Calculate ofi money.
N2.1a—Calculate the number of cents in dollar amounts.
6
17
9
10
19
20
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N2.1a—Calculate amounts of money.
48
S2.2—Draw mirror images of triangles.
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M2.2,WM2.1—Measure time reading a calendar.
18
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N2.1a—Calculate amounts of money.
8
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C&D2.1—Investigate, record and explain results of chance activities.
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C&D2.1, C&D2.2, C&D2.4—Investigate, record and explain results of chance activities.
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N2.2, N2.3—Use knowledge of multiples to solve related multiplication and division problems.
52
C&D2.4—Interpret information on a graph to answer questions.
53
N2.1a—Share amounts of money equally.
54
S2.3—Identify symmetry in 2-D and 3-D shapes.
55
N2.3, WM2.2—Work out number problems logically.
56
M2.2,WM2.1—Record times of the day using a shadow stick.
57
N2.1a, N2.2—Share amounts of money equally.
58
C&D2.3—Record data in a Venn diagram.
59
N2.3—Solve addition and subtraction problems.
60
• iv • New Wave Maths for WA Book C
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Term Three Week Unit
2
3
21
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23
Page
S2.1—Identify facilities on a map and discuss the location of facilities in their community.
61
WM2.3—Work mathematically to identify and conjecture about number patterns.
62
M2.2, N2.3—Measure lengths in metres and centimetres.
63
N2.4—Solve pictorial number patterns.
64
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C&D2.2, C&D2.4—Collect, record and analyse data in categories.
65
N2.1a—Order prices from most to least expensive and answer related questions.
66
S2.1, WM2.2—Draw a plan for a specific purpose.
67
N2.1a—Calculate the amount of change needed for given amounts.
68
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Outcomes
M2.2,WM2.3—Measure the volume of containers in cups.
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N2.2, N2.3—Use knowledge of multiples to solve patterns and combinations of multiplication and division problems.
70
C&D2.4—Collect, record and analyse data in graphs.
71
N2.1a,WM2.2—Calculate amounts of money and change needed for given amounts.
72
S2.2—Make constructions from written instructions.
73
© R. I . C.Publ i cat i ons M2.2—Double and halve numbers of shapes. N2.3—Add and subtract multiples of ten. •f orr evi ew pur posesonl y• C&D2.2, C&D2.4, WM2.2—Collect, record and analyse data. N2.3, WM2.4—Work out number problems logically.
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S2.3—Complete shapes to make them symmetrical.
M2.2,WM2.2—Draw shapes on a grid with a set area and compare the perimeter.
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N2.4—Solve number patterns.
8
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N2.2, N2.3—Solve number sentences using a calculator or Base 10 MAB.
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N2.1a, N2.3—Use knowledge of multiples to calculate prices.
80 81 82
C&D2.4—Collect, record and analyse data.
83
N2.3—Use rounding to approximate whether answers to addition and subtraction problems are possibly correct or incorrect.
84
S2.3, WM2.2—Work out which shapes will make larger copies of the original when four are placed together.
85
N2.3—Use knowledge of multiples to solve addition problems.
86
M2.2, S2.2—Complete pictorial patterns and area activities with 2-D shapes.
87
N2.3—Use knowledge of multiples to solve subtraction and addition problems.
88
C&D2.4—Interpret information from a given graph.
89
N2.4—Solve pictorial and written number problems.
90
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New Wave Maths for WA Book C • v •
Term Four Week Unit
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3
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33
Page
S2.1, WM2.3—Draw paths on a grid according to specific instructions.
91
N2.1a, N2.4—Use a number grid to find multiples.
92
M2.2—Measure the area and perimeter of shapes.
93
N2.1a—Calculate amounts of money.
94
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C&D2.3, C&D2.4—Collect, record and analyse data.
95
N2.1a—Calculate amounts of money and exchange for a single coin.
96
S2.3—Explain how to manoeuvre 2-D shapes to fit given outlines.
97
N2.1a—Exchange amounts of money.
98
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1
Outcomes
M2.2—Estimate then measure given items with arbitrary units and a balance beam.
34
N2.3—Use knowledge of multiples to work out number problems. C&D2.2—Order and analyse data. N2.3, N2.1a—Use knowledge of multiples to calculate prices.
5
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S2.3, S2.2—Make and draw constructions of models from written instructions. N2.1b—Recognise fractional amounts using diagrams.
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10
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S2.1—Follow paths on a given map.
109
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M2.2,WM2.3—Compare area of shapes using different units.
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N2.4, WM2.2—Solve a mathematical problem logically.
N2.1b—Recognise fractional amounts using diagrams.
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© R. I . C.Publ i cat i ons N2.1a, N2.1b—Double and halve amounts of money. •f orr evi ew pur posesonl y• C&D2.2, C&D2.4—Record and analyse data in Carroll diagrams.
WM2.2, WM2.3—Work mathematically to explain and compare the best approach to solve a problem.
6
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105 106
110 111
N2.3—Solve subtraction number sentences that use a constant subtrahend of 10.
112
C&D2.3, S2.4—Sort 2-D shapes into sets and subsets of attributes.
113
N2.4, WM2.2—Solve and describe pictorial number patterns.
114
S2.1, WM2.2—Draw a plan for a specific purpose.
115
N2.1b—Recognise fractional amounts using diagrams.
116
M2.1—Select appropriate units of measure to measure a variety of items.
117
N2.3—Use a calculator to solve number sentences involving multiplication.
118
C&D2.3, C&D2.4—Collect, record and analyse data on a Venn diagram.
119
N2.1a, N2.4—Identify ordinal numbers; solve calendar activities; identify multiples of five.
120
• vi • New Wave Maths for WA Book C
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Unit 1–1 Mental
Written
Calculator
1. Choose a method to solve some or all of these. (a) 1 + 1 =
(b) 2 + 2 =
(c) 1 + 2 =
(d) 3 + 1 =
(e) 3 + 2 =
(f) 1 + 3 =
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Cold!
r o e t s Bo r e p ok u S
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Teac he r
2. Draw a free pattern (scribble pattern) on this page. Hint: Keep the pattern large.
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© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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3. What is the smallest number of colours you can use to colour the pattern without any bordering regions having the same colour?
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New Wave Maths for WA Book C • 1 •
Unit 1–2 1. Choose a method to solve some or all of these.
Mental
Written
Calculator
(a) 6 + 2 =
(b) 7 + 1 =
(c) 5 + 3 =
(d) 6 + 3 =
(e) 4 + 3 =
(f) 5 + 4 =
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r o e t s B r e o 1 2 3 4 5 o 6 7 p u k S 11 12 13 14 15 16 17 22
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© R. I . C61.P ub l i c at i o66ns 62 63 64 65 67 68 69 What number comes oafter rr evi ew pur posesonl y• before• 57f and 55? 71 72 73 74 75 76 77 78 79
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(b) What number is 5 greater than 60?
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(c) Starting at 1, find each eleventh number.
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(d) What number is 10 greater than 75?
(g) What number is 6 less than 74?
(h) 96 is
greater than 78 and
less than 99. (e) What number is 10 less than 33?
(i)
22 is
greater than 6 and less than 42.
(f)
47 is
greater than 35 and less than 51.
• 2 • New Wave Maths for WA Book C
(j)
What number is 10 greater than 48?
N2.1a—Locate numbers on a 1 – 100 grid according to specific questions.
51
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2. Use the grid to answer these questions.
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Written
Cold!
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Width of school oval
Length of school oval
Length of room
Teac Tally he r
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(e) Blackboard ruler
m(c) Door . (d) Cupboard u
(b) Desk
(a) Blackboard
(f)
(g) Storage trolley
hand spans hand spans
Teacher’s desk
3. Use your hand span to measure the length of the items below.
(b) How many paces did this distance take altogether?
(f)
3+6=
(a) Which distance was the greatest?
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(e) 1 + 4 =
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(j)
(i)
hand spans
Maths book
One pin-up board
(h) Bookshelf
hand spans
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(d) 1 + 8 =
Calculator
2. Measure these distances with your pace. Keep a tally of how many paces you take.
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(c) 2 + 5 =
(b) 2 + 7 =
(a) 5 + 4 =
Mental
1. Choose a method to solve some or all of these.
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M2.2—Measure distances using paces and handspans.
hand spans
hand spans
hand spans
hand spans
hand spans
Total
Unit 1–3
New Wave Maths for WA Book C • 3 •
Unit 2–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) 5 – 2 =
(b) 9 – 7 =
(c) 4 – 1 =
(d) 6 – 3 =
(e) 8 – 5 =
(f) 7 – 4 =
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2. Do the following things to this grid. Activity One
Teac he r
Colour the 76th square red. Colour the 41st square blue. Colour the 83rd square green. Colour the 27th square yellow. Colour the 33rd square orange. Colour the 67th square purple. Colour the 12th square red. Colour the 95th square blue. Colour the 52nd square green. Colour the 4th square yellow. Colour the 39th square orange. Colour the 61st square purple.
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(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)
10
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Activity Two
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o c . c e her Activity Three r o t s super With a partner – take turns to have ten throws each of a six-sided die. See who is closer to 100. What number did you finish on?
Activity Four With a partner and a counter for each of you – take turns to throw a six-sided die. Use your counter to move the number of squares shown by each throw of the die. Me My Partner Who was the first to 100?
• 4 • New Wave Maths for WA Book C
N2.1a—Locate ordinal and cardinal numbers on a number grid.
Find a partner and a counter for each of you – take turns to throw a six-sided die. Use your counter to move the number of squares shown by each throw of the die. Me My Partner Who was the first to 50?
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Unit 2–2 Mental
1. Choose a method to solve some or all of these.
Written
(a) 7 – 3 =
(b) 3 – 2 =
(c) 9 – 4 =
(d) 7 – 6 =
(e) 8 – 3 =
(f) 8 – 2 =
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Calculator
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r o e t s Bo r e p o u y Sunday onday uesday dnesday hursk da S
e W
T
M
Number of Students
3. Show the data you collected above in the graph. 10 9
T
y ir da
F
y da r u
t
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2. Use the diagram to show how many students in your class will have their birthday on each day of the week this year.
Sa
4. Use the graph to answer these.
© R. I . C.Publ i cat i ons Which day of the •f orr evi ew pur poses(a)on l y week has• most birthdays?
C&D2.3, C&D2.4—Gather, record and analyse data.
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Number of students
8 7 6 5
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(b) Which day of the week has least birthdays?
o c . che e r is the difference in o t r s (c) What super the number of birthdays between the day with the most and the day with the least birthdays?
2 1 0
Mon Tue Wed Thu
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Fri
Sat
Sun
New Wave Maths for WA Book C • 5 •
Unit 2–3 Mental
1. Choose a method to solve some or all of these.
Written
(a) 10 – 5 =
(b) 10 – 2 =
(c) 10 – 6 =
(d) 10 – 7 =
(e) 10 – 1 =
(f)
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Calculator
10 – 8 =
Cold!
r o e t s Bo r e 6 7 p 1 2 3 4 5o u k S 11 12 13 14 15 16 17 26
31
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50
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60
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o c . che e r o t r s (g) Is 45 closer to 40 or 50? super Is 66 closer to 60 or 70? (f) Is 17 closer to 10 or 20?
3. Did you have a problem answering the last question? Explain why.
• 6 • New Wave Maths for WA Book C
N2.1a—Use a number grid to assist in rounding activities.
(d) Is 54 closer to 50 or 60?
(e)
25
19
30
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29
(c) Is 27 closer to 20 or 30?
23
10
28
(b) Is 93 closer to 90 or 100?
22
9
27
(a) Is 47 closer to 40 or 50?
21
8
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2. Use the number grid to help you answer the questions below.
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Unit 3–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) 3 + 4 =
(b) 2 + 6 =
(c) 4 + 5 =
(d) 3 + 3 =
(e) 1 + 7 =
(f)
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Calculator
2+5=
Cold!
r o e t s Bo r e p ok u S
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Teac he r
2. Draw a plan of your classroom as if you were arranging it for a class party.
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S2.1, WM2.2—Draw a plan for a specific purpose.
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New Wave Maths for WA Book C • 7 •
Unit 3–2 1. Choose a method to solve some or all of these.
Mental
Written
(a) 6 + 1 =
(b) 2 + 2 =
(c)
(d) 1 + 5 =
(e) 3 + 6 =
(f)
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Calculator
7+2= 1+8=
Cold!
r o e t s Bo r e p ok u S
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Teac he r
2. Find the pattern and describe it.
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3. Look at the pattern and describe it. Continue the pattern in the next three blocks.
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N2.4—Investigate and describe patterns.
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• 8 • New Wave Maths for WA Book C
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Written
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3+6=
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(f)
(e) 4 + 1 =
(d) 3 + 5 =
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(a) My finger is about
cm long.
(c) My step is about
o c . che e r o t r s super My desktop will need about maths books to cover it.
5-cm
milk carton.
will take about m(i) Itdessertspoons of sand to fill a cup. . u (j) About cups will fill a
(h) It will take about counters to cover the palm of my hand.
(g) The floor of my classroom will need about sheets of newspaper to cover it.
(f)
(e) The surface of this page will need about squares to cover it.
(d) The distance around my desk is about m.
cm long.
cm long.
(l)
(p) I sleep for about
(o) A newborn baby weighs about
(n) Our car weighs about
(m) A loaf of bread weighs about
kg.
tonnes.
g.
g.
(s) There are about years until I turn twelve.
(r) There are about days until my next birthday.
(q) There are about minutes between recess and lunch.
hours a day.
An egg weighs about
(k) A large carry box will need about milk cartons to fill it.
Teac he r
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(b) My foot is about
. te
(c) 2 + 3 =
(b) 4 + 4 =
(a) 5 + 2 =
Mental
2. Estimate the length or amount of the following items.
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
M2.3—Estimate the length or amount of given items.
Unit 3–3
New Wave Maths for WA Book C • 9 •
Unit 4–1 Mental
Written
Calculator
1. Choose a method to solve some or all of these. (a) 10 + 4 =
(b) 10 + 7 =
(c) 10 + 1 =
(d) 10 + 8 =
(e) 10 + 6 =
(f)
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10 + 5 =
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o e t 1s 3 r 5 7 9 11 B r e o p ok u S
2. Look at this number pattern.
ew i ev Pr
Teac he r
(a) Describe the pattern.
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(b) Write the next two numbers in the pattern.
(a) 22, 24, 26, 28,
,
,
,
(c) 11, 14, 17, 20,
,
,
(d)
,
,
w ww
,
(b) 57, 55, 53, 51,
o c . che e r o t r sthese numbers. supe Double these numbers. 5. r Halve (a) 4
(f)
(b) 3
(a) 12
(f) 100
(g) 11
(b) 8
(g) 30
(c) 10
(h) 7
(c) 20
(h) 40
(d) 5
(i)
9
(d) 16
(i) 18
(e) 6
(j)
50
(e) 10
(j) 50
• 10 • New Wave Maths for WA Book C
15
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N2.4—Identify and describe number patterns.
4.
. t 75, 70, 65, 60,e
m . u
3. Complete these patterns.
Unit 4–2 Mental
1. Choose a method to solve some or all of these.
Written
(a) 15 + 4 =
(b) 11 + 7 =
(c) 13 + 5 =
(d) 16 + 2 =
(e) 18 + 1 =
(f) 14 + 3 =
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2. Use one die.
Number of times thrown
Teac he r
Guess which number is most likely to be thrown.
Throw the die 20 times. Record the number of times each number is thrown.
ew i ev Pr
r o e t s 6+ Bo r e p ok u 5 S 4 3 2
© R. I . C.Pu1bl i cat i ons •f orr evi ew pur p se l 1o 2 so 3 n 4y• 5
6
Number on die
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4 3
m . u
Number of times thrown
C&D2.1, C&D2.3—Investigate and record chance activities.
5
w ww
6+
3. Make your own die from a 2-cm cube. Mark one side with the number 1 and the opposite side with the number 6. Choose another side and mark it with the number 2 and the opposite side with the number 5. Mark the numbers 3 and 4 on the blank sides. Use this die.
o c . che e r o t r s super Guess which number is most likely to be thrown.
2 1 1
2
3 4 5 Number on die
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6
Throw the die 20 times. Record the number of times each number is thrown. Are the results the same for each number? Yes
No
Talk about it with a small group. New Wave Maths for WA Book C • 11 •
Unit 4–3 1. Choose a method to solve some or all of these.
Mental
Written
(a) 26 + 3 =
(b) 32 + 5 =
(c) 41 + 7 =
(d) 54 + 3 =
(e) 37 + 2 =
(f) 22 + 6 =
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Throw Cubes r o e t s B r e oo 1 p u k S 2 Trade for 3 4 5 6
Trade for
longs.
Trade for
longs.
Trade for
longs.
© R. I . C.Publ i cat i ons How many ones does your group have left? •f orr evi ew pur posesonl y• Cubes
w ww
1 2 3 4 5 6
. te
Trade for
longs.
Trade for
longs.
Trade for
longs.
Trade for
longs.
Trade for
longs.
Trade for
longs.
Trade for
longs.
3. Repeat the above activity. Throw a die a maximum of ten throws. Trade the small cubes for longs.
o c . longs. Trade for che e r o t r s longs. Trades for r upe
7 8 9 10
Record the results in the table.
How many ones does your group have left? • 12 • New Wave Maths for WA Book C
longs.
m . u
Throw
Trade for
N2.1a—Record results of trading games with Base 10 MAB.
Record the results in this table.
longs.
ew i ev Pr
Teac he r
2. Throw a die and take small cubes to the value shown. Repeat this five times. Trade the small cubes for longs.
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Unit 5–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) 15 – 12 =
(b) 19 – 17 =
(c) 14 – 11 =
(d) 16 – 13 =
(e) 18 – 15 =
(f) 17 – 13 =
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r o e t s Bo r e p ok u S Natural Made by people
2. Take your maths book with you on a walk around the school. See if you can find any of the shapes below, either natural or made by people. Name the place where you found the shape and draw it below.
Sphere
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Cylinder
. te
Rectangular Prism
m . u
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Cube
S2.2, WM2.2—Identify 3-D shapes in the environment.
ew i ev Pr
Teac he r
Shape
o c . che e r o t r s super
Other Shapes
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New Wave Maths for WA Book C • 13 •
Unit 5–2 Mental
1. Choose a method to solve some or all of these. (a) –
17 13
(b) –
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13 12
(c) –
19 14
(d) –
17 16
Written
(e)
18 13
–
Calculator
(f) –
16 11
Cold!
r o e t s Bo r e p ok u S
2. Use Base 10 MAB for this activity.
(b) Take a handful of longs. Trade these for flats. How many flats do you have?
longs
ew i ev Pr
Teac he r
(a) Take a handful of small cubes. Trade these for longs. How many longs do you have?
flats
(c) How many flats and longs do you have now?
flats
longs
m . u
w ww
4.
. te o c Build these shapes using cubes. Count the cubes you use. . che e r o t r s super
cubes used cubes used cubes used
• 14 • New Wave Maths for WA Book C
N2.1a, S2.2, WM2.2—Record results of trading games with Base 10 MAB. Build models with cubes.
© R. I . C.P ubl i cat i on s Person Flats Longs •f orr evi ew pur posesonl y•
3. Compare your findings with others in the class and record their results in this table.
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Written
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76 – 4 =
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(f)
(e) 84 – 3 =
(d) 67 – 6 =
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. te
(c) 56 – 5 =
(b) 43 – 2 =
(a) 36 – 5 =
Mental
Teac he r
... .... .... . .... .... .... .... me .... Na .... t jec Sub
er Sup book p a Scr
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m . u
(c) number of small squares
(b) number of small squares
(a) number of small squares
3. Count the small squares inside each of the larger squares.
o c . che e r o t r s super
Cold!
py's rap c S
4. Draw the next square shape in the pattern from Question 3.
2. Circle these items from your desk that your hand can cover.
How many small squares are inside the large square?
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
M2.2, N2.4—Compare the area of objects and regions.
Unit 5–3
New Wave Maths for WA Book C • 15 •
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
Unit 6–1
1. Use words or pictures to explain how your group decided the best way to count the sprinkles on the bread.
o c . che e r o t r s super
2. Share your ideas with the class. 3. Decide which you think is the best way to count the sprinkles on the bread. Explain why.
• 16 • New Wave Maths for WA Book C
WM2.2, WM2.3—Work mathematically to explain and compare the best approach to solve a problem.
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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Written
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14 + 10 =
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(f)
(e) 16 + 10 =
(d) 19 + 10 =
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(b) What colour car has the smallest tally?
o c . che e r o t r s super other
black
red
blue
white
Cars
Tally
Tally
(c) Write the colours in order from most common to least common.
m . u
(b) What colour car has the smallest tally?
(a) What is the colour of the car with the biggest tally?
3. Make a tally of the colours of the cars in your school’s staff car park using the table below.
(c) Write the colours in order from most common to least common.
black other
TeacCars white h blue er red
(a) What is the colour of the car with the largest tally?
. te
(c) 15 + 10 =
(b) 17 + 10 =
(a) 12 + 10 =
Mental
2. This tally shows the colour of cars passing a school. Answer the questions about the tally.
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
C&D2.4, C&D2.2—Collect, record and analyse data.
Total
Total 22 4 14 6 12
Unit 6–2
New Wave Maths for WA Book C • 17 •
Unit 6–3 Mental
1. Choose a method to solve some or all of these.
Written
(a) 24 + 30 =
(b) 47 + 20 =
(c) 33 + 40 =
(d) 56 + 20 =
(e) 65 + 30 =
(f)
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46 + 30 =
Cold!
(a)
r o e t s Bo r e p ok u S +
+
+
+
+
=
=
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Teac he r
2. Add these coins.
(b)
Calculator
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(c)
. te
(b) a teddy and an ice-cream?
o c . a ball and a teddy? c e her r o t s super an ice-cream and a spade?
(c) a bucket and a ball? (d) (e)
75c
c 0 6
50c
• 18 • New Wave Maths for WA Book C
35c
45c
N2.1a—Recognise coin values and count amounts of money.
w ww
(a) a bucket and spade?
m . u
3. What will it cost me if I buy:
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Unit 7–1 Mental
1. Choose a method to solve some or all of these. (a) 67 – 3 =
(b) 86 – 2 =
(c)
(d) 56 – 3 =
(e) 39 – 4 =
(f)
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Written
Calculator
47 – 5 = 76 – 4 =
Cold!
r o e t s Bo r e p ok u S Yes
ew i ev Pr
Teac he r
2. Can you cut these shapes into three smaller shapes, each exactly the same?
Yes
No
No
3. Show how you can divide these shapes into a number of smaller shapes the same shape as the original.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te
(a)
S2.3—Identify symmetry in 2-D shapes.
Yes
No
(b)
o c . che e r o t (c) (e) (g) r s super Yes
No
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Yes
No
(d) Yes
m . u
w ww
4. Draw a line to cut these shapes in half. Are the two halves symmetrical?
No
(f) Yes
No
Yes
No
Yes
No
(h) Yes
No
New Wave Maths for WA Book C • 19 •
Unit 7–2 Mental
1. Choose a method to solve some or all of these.
Written
(a) 45 – 20 =
(b) 34 – 10 =
(c) 62 – 30 =
(d) 57 – 20 =
(e) 37 – 20 =
(f)
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51 – 30 =
Cold!
r o e t s Bo r e p ok u S
3. From this strip, divided into fourths, answer the questions below. 1
1
4
4
1
4
© R. I . C.Publ i cat i ons Which is the greater, / or / ? •f orr evi ew pur posesonl y• Yes
(a) Is 1/4 greater than 3/4? (b)
1
4
ew i ev Pr
Teac he r
2. Divide this strip into four equal parts.
4
No
2
4
4
w ww
(d) What is the difference between 1/4 and 2/4? (e) What is the total of 1/4 and 1/4 and 1/4?
(g) (h)
. te o c How many fourths make one whole? . che e r o t What is the sum of / and / r ? s s uper How much bigger is 3/4 than 1/4?
2
2
4
4. This netball court is divided into how many equal parts?
• 20 • New Wave Maths for WA Book C
4
N2.1b—Recognise fractional amounts using diagrams.
(f)
m . u
(c) What is the sum of 1/4 and 1/4?
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Unit 7–3 1. Choose a method to solve some or all of these.
Mental
Written
(a) 89 – 50 =
(b) 93 – 70 =
(c) 86 – 50 =
(d) 77 – 60 =
(e) 94 – 40 =
(f)
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58 – 30 =
Cold!
r o e t s Bo r e p ok u S
2. Make this shape using 2-cm cubes.
Teac he r
(a) How many cubes are needed?
(d)
Add a fourth layer. How many cubes are needed?
(c) Add a third layer. How many cubes are needed?
(e)
Add a fifth layer. How many cubes are needed?
(f)
Describe the number pattern you have made.
ew i ev Pr
(b) Add a second layer. How many cubes are needed?
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. te
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m . u
w ww
N2.2, N2.4, S2.2, WM2.2—Build models with cubes and describe the number patterns made.
3. In this space, draw two of the models you made.
o c . che e r o t r s super
New Wave Maths for WA Book C • 21 •
Unit 8–1 Mental
1. Choose a method to solve some or all of these.
Written
(a) 3 x 8 =
(b) 4 x 5 =
(c) 2 x 9 =
(d) 10 x 3 =
(e) 4 x 2 =
(f)
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7x3=
Cold!
r o e t s r 11 12 B 13 o 14 15 16 17 18 19 20 e p ok26 27 28 29 30 21 22 23 24 25 u S 31 32 33 34 35 36 37 38 39 40
2. Explore these patterns on the grid.
1
2
3
4
5
6
7
8
9
10
(a) Colour every fifth square red.
(c) Draw a dot on every second square. (d) Describe each pattern you have made. Colour:
Cross:
ew i ev Pr
Teac he r
(b) Draw a cross on every fourth square.
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 © R. I . C.Pub l i cat i ons 91 92 93 94 95 96 97 98 •f orr evi ew pur posesonl y•
89 90 99 100
w ww
(e) List the numbers that were coloured red and have a cross.
. te o c List the numbers that have a dot and are also coloured red. . che e r o t r s super
(g) What is common about the numbers in Question 2(f)?
(h) Which squares have a cross and a dot?
(i)
Which squares have a cross, a dot and are red?
• 22 • New Wave Maths for WA Book C
N2.4—Use a number grid to find and describe patterns.
(f)
m . u
Dot:
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= 25
= 12
= 16
= 21
(c) 5 x
(d) 2 x
(e) 4 x
(f)
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. te
3x
= 18
(b) 6 x
Calculator
= 12
Written
(a) 3 x
Mental
to sit next to
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o c . che e r o t r s super
m . u
colours
foods
sports
television programs
3. Make a list of your four favourite:
to ask for help
Teac he r
2. Make lists to show the four people you would like:
famous people
songs
as best friends
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
C&D2.2—Classify items in categories.
Unit 8–2
New Wave Maths for WA Book C • 23 •
Unit 8–3 1. Choose a method to solve some or all of these.
Mental
Written
Calculator
(a)
x 4 = 24
(b)
x 2 = 10
(c)
x 3 = 15
(d)
x 5 = 20
(e)
x4=8
(f)
x3=9
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r o e t s Bo r e p ok u S
2. In the shapes below, colour the part as asked and answer the questions. (d)
Colour 2/3.
ew i ev Pr
Teac he r
(a) Colour 1/2.
How many lots of / © R. I . C.Publ i c a t i o n s are coloured? •f orr evi ew pu r posesonl y• Colour / . (e) Colour / .
How many lots of 1/4 are coloured?
3
1
1
2
How many lots of 1/6 are coloured? (c)
1
2
How many lots of 1/8 are coloured?
o c . che e r o t r s super
How many lots of 1/10 are coloured?
• 24 • New Wave Maths for WA Book C
(f)
Colour 1/3.
How many lots of 1/12 are coloured?
N2.1b—Recognise fractional amounts using diagrams.
w ww
. te Colour / .
2
m . u
(b)
1
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Unit 9–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) 21 ÷ 3 =
(b) 16 ÷ 4 =
(c) 18 ÷ 3 =
(d) 28 ÷ 4 =
(e) 12 ÷ 3 =
(f)
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16 ÷ 2 =
Cold!
r o e t s Bo r e pbounces flat sides curves o rolls slides corners u k S
duster can
ruler ball
hard
soft
ew i ev Pr
Teac he r
2. Use the four objects listed below and tick the things you discover about them.
w ww S2.4, S2.2—Use spatial criteria to identify attributes of 3-D and 2-D objects.
. te
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m . u
© R. I . C.Publ i cat i ons •f orr ev i ew pur po sesonl yCircle • Square Rectangle Triangle
3. Find objects in the environment that have these shapes. List them below.
o c . che e r o t r s super
New Wave Maths for WA Book C • 25 •
Unit 9–2 1. Choose a method to solve some or all of these.
Mental
Written
Calculator
(a) 20 ÷
=5
(b) 45 ÷
=9
(c) 30 ÷
= 10
(d) 15 ÷
=5
(e) 32 ÷
=8
(f)
=7
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28 ÷
Cold!
r o e t s Bo r e p o u k S1
2. Colour this grid to show the different fraction equivalents.
Teac he r
(b) How many tenths are the same as one-half?
2
1
5
1
10
© R. I . C.Publ i cat i ons Two halves are the same as •f orr evi ew pur po3.se sthese on l y•to show Use diagrams whole.
(d) One-half is the same as
w ww
. te
-tenths.
(e) Six-tenths is the same as
(g)
o c . How many tenths make one whole? ch e r e o t r s super Two-fifths is the same as -tenths. -fifths.
(h) Three-fifths makes how many tenths? (i)
How many fifths make one whole?
(j)
Four-fifths is the same as -tenths.
• 26 • New Wave Maths for WA Book C
N2.1b—Recognise fractional amounts using diagrams.
(f)
three different ways of dividing a square into fourths.
m . u
(c)
1
ew i ev Pr
(a) How many tenths make one-fifth?
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Unit 9–3 Mental
1. Choose a method to solve some or all of these.
Written
Calculator
(a)
÷4=6
(b)
÷4=8
(c)
÷2=6
(d)
÷3=9
(e)
÷3=4
(f)
÷4=4
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Cold!
r o e t s Bo (m) r (e) e (i) p ok u S
2. Write the time to the nearest five minutes as shown on the clock faces.
3.00
(j)
(g)
(k)
(n)
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w ww
(c)
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M2.2, WM2.1—Recognise times on analog clocks.
(f)
(d)
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m . u
(b)
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Teac he r
(a)
(o)
o c . che e r o t r s super (h)
(l)
(p)
New Wave Maths for WA Book C • 27 •
Unit 10–1 Mental
Written
Calculator
1. Choose a method to solve some or all of these. (a) 43 + 12 =
(b) 64 + 15 =
(c) 26 + 12 =
(d) 42 + 17 =
(e) 55 + 13 =
(f)
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33 + 11 =
Cold!
r o 1e 2B 3 4 5 6 7 8 9 10 t s r e o 15 16 17 18 19 20 11 12 13 14o p u k 21 22 23 24 25 26 27 28 29 30 S
2. Explore these patterns on the grid.
Teac he r
(a) Colour every tenth square blue.
(b) Draw a cross on every fifth square.
Blue:
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 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
Dot:
w ww
(e) List the squares that were coloured blue and have a cross.
(f) (g)
. te
o c . c e Are all squares with crosses odd numbers? he r o t r s super Why?/Why not? Are any squares with dots also coloured blue?
Yes
Yes
No
99 100
No
(h) Which squares have a cross, a dot and are blue? (i)
Which squares with crosses are odd?
(j)
Are there the same number of odd and even numbers on the grid?
• 28 • New Wave Maths for WA Book C
89 90
m . u
© R. I . C.Pub i ca i on 81l 82 83t 84 85s 86 87 88 Cross: 91p 92 93e 94 95n 96 97• 98 •f orr evi ew pur os so l y
Yes
No
N2.1a, N2.4—Use a number grid to find and describe patterns.
(d) Describe each pattern you have made.
ew i ev Pr
(c) Draw a dot on every square with an odd number.
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Written
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Mark Ella d still regarde Mark Ella is greatest as one of the of all time. rugby players
Sunday
Wednesday
Thursday
Friday
Cold!
Tuesday
Sports/Activities
Season
Saturday
Teac he r
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Hottest months
Coldest months
3. List the three hottest months and the three coldest months of the year. Write keywords about the things you like to do during these months.
o c . che e r o t r s super
4 3 2 1 11 10 9 8 7 6 5 18 17 15 16 12 13 14 25 24 22 23 19 20 21 26 27 28
Monday
Australia
oes Rugby Her of
February
15 + 41 =
Rate Your Choice ✓ Hot!
(f)
(e) 32 + 55 =
(d) 43 + 56 =
Calculator
. te
(c) 27 + 61 =
(b) 52 + 26 =
(a) 35 + 43 =
Mental
2. Write the seasons as they occur from the beginning of the year. Under each season, write two sports or activities you might do. Draw your favourite.
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
C&D2.2, M2.2, WM2.1—Classify items in categories.
Unit 10–2
New Wave Maths for WA Book C • 29 •
Unit 10–3 Mental
1. Choose a method to solve some or all of these.
Written
(a) 51 + 46 =
(b) 38 + 21 =
(c) 61 + 18 =
(d) 45 + 33 =
(e) 34 + 54 =
(f)
Rate Your Choice ✓ Hot!
Calculator
58 + 11 =
Cold!
r o e t s Bo r e p ok u S
2. What is the total value of each row of coins below?
ew i ev Pr
Teac he r
Row One
Row Two
(a)
© R. I . C.Publ i cat i ons What• is the difference value between ther two rows of coins? f o rr einv i ew pu po se sonl y•
(c) What coin can you exchange for all the 20c coins?
o c . c e her r to make the amounts below. o t s super
3. Using
(a) 30c (b) 50c (c) 40c (d) 75c (e) 80c
• 30 • New Wave Maths for WA Book C
and
coins, find two different ways
N2.1a—Recognise coin values and count and make up amounts in different ways.
w ww
. t ,e
m . u
(b) What coin can you exchange for all the 10c coins?
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Unit 11–1 Mental
1. Choose a method to solve some or all of these. (a) –
37 17
(b) –
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26 16
(c) –
43 13
(d) –
34 14
(e)
Written
49 19
–
Calculator
(f) –
22 12
Cold!
r o e t s Bo r e p ok u S
2. Colour the shapes that fit together without leaving gaps. (a)
© R. I . C.Publ i cat i ons (d) •f orr evi ew pu r posesonl y•
w ww
. te
S2.2, M2.2, WM2.3—Identify shapes that tessellate.
(e)
m . u
(c)
ew i ev Pr
Teac he r
(b)
o c . che e (f) r o t r s super
Shapes that fit together without leaving gaps ‘tessellate’.
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New Wave Maths for WA Book C • 31 •
Unit 11–2 1. Choose a method to solve some or all of these.
Mental
Written
(a) 82 – 12 =
(b) 76 – 16 =
(c) 87 – 17 =
(d) 95 – 15 =
(e) 68 – 18 =
(f)
Rate Your Choice ✓ Hot!
Calculator
55 – 15 =
Cold!
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. In the table below, write the number of times each coin appears, and the total value of coins of that type.
© R. I . C.Publ i cat i ons 5cw p 10c •f orr evi e ur poses20c onl y•50c
. te can have 20c if you have $1.20 to share? o How many people c . che e r How many people can have 50c if you have $2.50 to t share? o r s super
3. Answer these. (a) (b)
people people
(c) How many people can have 25c if you have $2.00 to share?
people
(d) How many people can have 10c if you have $3.00 to share?
people
(e) How many people can have $2.00 if you have $10 to share?
people
(f)
people
How many people can have 20c if you have $2.20 to share?
• 32 • New Wave Maths for WA Book C
N2.1a—Recognise coin values and count and share amounts of money.
w ww
Total value
m . u
Number
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Written
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48 – 13 =
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(f)
(e) 36 – 14 =
(d) 27 – 15 =
Calculator
Cold!
o c . che e r o t r s super Sharpener
,
,
Pencil
,
r o e t s Bo r e p ok u S
Write the objects from lightest to heaviest.
m . u Pen
Teac he r
2. Use paperclips to balance these objects. Draw a paperclip for each real clip used.
. te
(c) 55 – 13 =
(b) 46 – 12 =
(a) 38 – 15 =
Mental
1. Choose a method to solve some or all of these.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
ew i ev Pr
w ww
M2.2—Use arbitrary units and a balance beam to order given items by mass.
Eraser
Unit 11–3
New Wave Maths for WA Book C • 33 •
Unit 12–1 Mental
1. Choose a method to solve some or all of these.
Written
(a) 21 = 7 x
(b) 40 = 10 x
(c) 27 = 3 x
(d) 14 = 2 x
(e) 6 = 3 x
(f)
Rate Your Choice ✓ Hot!
(a) How many
18 = 2 x
Cold!
r o e t s Bo r e p ok u S coins can you get for
(b) How many
?
coins can you get for
ew i ev Pr
Teac he r
2. Work these out.
Calculator
?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(e)
(f)
coins can you get for
?
. t e o Make 40c with 3 coins. c . Which coins did youc use? e her r o t s super Make $1.00 with 2 coins. Which coins did you use?
(g) Make 50c with 5 coins. Which coins did you use? (h) Make 20c with 3 coins. Which coins did you use? (i)
?
Make $1.00 with 5 coins. Which coins did you use?
• 34 • New Wave Maths for WA Book C
N2.1a—Recognise coin values and count and make up amounts in different ways.
w ww
(d) How many
coins can you get for
m . u
(c) How many
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Unit 12–2 1. Choose a method to solve some or all of these.
Mental
Written
Calculator
(a) 32 =
x8
(b) 45 =
x5
(c) 12 =
x2
(d) 24 =
x8
(e) 30 =
x6
(f)
x6
Rate Your Choice ✓ Hot!
24 =
Cold!
r o e t s Bo r e p ok July u S
2. Make a tally of the students born in each month in your class.
February
August
March
September
April
October
May
June
ew i ev Pr
Teac he r
January
November © R. I . C.Pub l i cat i ons December •f orr evi ew pur posesonl y•
w ww
m . u
(a) Which month had the most birthdays? (b) Which month had the least birthdays?
Monday
Tuesday
. te
C&D2.2, C&D2.4—Collect, record and analyse data.
Wednesday
o c . che e r o t r s super
Thursday Friday 3. Fill in your favourite TV programs on each day of the school week. (a) What is your favourite show of all? (b) Do you watch TV every day?
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Yes
No
New Wave Maths for WA Book C • 35 •
Unit 12–3 Mental
1. Choose a method to solve some or all of these.
Written
Calculator
(a)
=8x5
(b)
= 5 x 10
(c)
=7x5
(d)
=3x9
(e)
=8x2
(f)
=5x9
Rate Your Choice ✓ Hot!
Cold!
r o e t s Bo r e p ok u S
2. Make these number stories equal to 10. (f) 9 +
(k) 10 –
(b) 2 +
(g)
+2
(l)
–5
(c) 3 +
(h)
+3
(m)
–4
(q) 5 x
(r) 10 ÷
6I +. (n) – 9n © (i)R. C.Publ i cat i o s (s) 100 ÷ •f orr evi ew pur posesonl y•
(e)
+5
(j)
+7
(o) 11 –
w ww
3. Make these number stories equal to 12. (a) 3 x
. te
(b) 1 +
–1
(d)
+ 10
(g) 18 –
(t) 10 x
(j)
o c . c (e) 12 x (h) 8 + (k) 15 – e her r o st super (f) 2 +
(i) 4 x
4. Write as many number stories about 15 as you can.
• 36 • New Wave Maths for WA Book C
(l) 7 +
+4
N2.2—Use concrete materials to assist in solving number stories.
+6
m . u
(d)
(c)
(p) 2 x
ew i ev Pr
Teac he r
(a) 1 +
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Unit 13–1 1. Choose a method to solve some or all of these.
Written
Calculator
(a) 8 = 24 ÷
(b) 9 = 45 ÷
(c) 6 = 36 ÷
(d) 7 = 21 ÷
(e) 5 = 35 ÷
(f)
Rate Your Choice ✓ Hot!
5 = 25 ÷
Cold!
Number of Number of r o e t s B r corners o sides e p ok u S Which of the shapes you Shape
found will fit together as tiles leaving no space between them? Circle them on the table.
4. Draw the shapes in the space below to show how they tile.
Distance around
ew i ev Pr
Teac he r
2. Find an example and record the features of these 2-D shapes. 3.
Mental
w ww
o c . che e r o t r s super
S2.2—Record features and draw figures of 2-D shapes.
. te
m . u
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New Wave Maths for WA Book C • 37 •
Unit 13–2 1. Choose a method to solve some or all of these.
Mental
Written
Calculator
(a) 8 =
÷4
(b) 8 =
÷5
(c) 9 =
÷3
(d) 6 =
÷5
(e) 4 =
÷7
(f)
÷6
Rate Your Choice ✓ Hot!
3=
Cold!
r o e t s Bo r e p ok u S
2. Complete these problems. (a) 5 x 4 =
(b) 4 + 4 + 4 + 4 + 4 =
(o) 16 – 8 =
(c) 2 x 5 =
(p)
(d) 5 + 5 =
(q) 6 – 3 =
x 9 = 18
ew i ev Pr
Teac he r
(n)
x 8 = 16
© R. I . C.Publ i c at i ons (r) x3=6 •f orr evi ew pur posesonl y•
(e) 3 x 3 =
3+3+3=
(s) 10 – 5 =
. te
(h) 2 + 2 + 2 + 2 = (i)
3x7=
(j)
7+7+7=
(t)
(u) 20 – 5 – 5 – 5 =
o c . che e r o t r s super (w) 12 – 2 – 2 – 2 – 2 – 2 = (v) 24 – 4 – 4 =
(x) 30 – 10 – 10 =
(k) 18 – 9 = (l)
x 5 = 10
x 9 = 18
(m) 15 – 5 =
• 38 • New Wave Maths for WA Book C
(y) 21 – 3 – 3 – 3 – 3 = (z) 25 – 5 – 5 – 5 – 5 =
N2.2, WM2.3—Use a calculator to solve number problems involving a constant function.
w ww
(g) 4 x 2 =
m . u
(f)
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Unit 13–3
r o e t s Bo r e p ok u S
2. Sort these items into groups.
ew i ev Pr
Teac he r
1. What could you make with these items?
m . u
w ww
WM2.1, WM2.2—Analyse objects to brainstorm mathematical concepts related to a real-life activity.
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3. Looking at your answer to Question 1, describe the maths you could use.
. te
o c . che e r o t r s super
4. Share your ideas with the class.Write extra ideas you did not think of in the space below.
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New Wave Maths for WA Book C • 39 •
Unit 14–1 Mental
1. Choose a method to solve some or all of these. (a) +
2c 3c 1c
(b) +
1c 1c 5c
+
4c 3c 2c
(d) +
6c 1c 2c
(e)
3c 3c 3c
+
Calculator
(f) +
2c 4c 1c
r o e t s B r e oo Write as many number stories about 12 as you can. p u k S Rate Your Choice ✓ Hot!
Cold!
ew i ev Pr
Teac he r
2.
(c)
Written
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
. te
+ as you can.
o c . che e r o t r s super
4. Find as many different ways as you can to write your age.
• 40 • New Wave Maths for WA Book C
N2.2, WM2.2—Use concrete materials to assist in creating number stories.
Write as many number stories using
m . u
3. Choose a number.
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Unit 14–2 Mental
1. Choose a method to solve some or all of these. (a)
$5 $3 $1
+
(b) +
Rate Your Choice ✓ Hot!
$4 $4 $1
(c) +
$3 $2 $2
(d) +
$1 $5 $2
Written
(e)
$2 $2 $4
+
Calculator
(f) +
$6 $2 $1
r o e t s Bo r e p ok u S Cold!
5 4 3 2
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
1
w ww
(a) (b) (c)
3
4
5
m . u
Number of times thrown
6+
2
C&D2.1, C&D2.2, C&D2.4—Investigate, record and explain results of chance activities.
ew i ev Pr
Teac he r
2. Use two dice. Add the total of the dice after each throw. Throw the dice twenty times and record your results.
6 7 8 9 Possible dice totals
10
11
12
. toccurred most often? Which total e o c . ch e Which total occurred least often? r er o t s sup er Why do you think these two totals were the most and least?
(d) If you were to throw the dice another twenty times and add the results to your first findings, would the results change?
Yes
No
Explain.
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New Wave Maths for WA Book C • 41 •
Unit 14–3 Mental
1. Choose a method to solve some or all of these. (a)
$5 $6 $4
+
(b)
$3 $8 $4
+
Rate Your Choice ✓ Hot!
(c)
$7 $2 $6
+
(d) +
$9 $4 $5
(e)
Written
$8 $5 $6
+
Calculator
(f)
$4 $8 $3
+
r o e t s Bo r e p ok u S Cold!
2. Complete these problems.
(h) 7 x 4 =
(b) 9 x 3 =
(c) 6 + 6 + 6 =
x6
(d) 5 x 6 =
(f)
x2
(i)
4+4+4+4=
(j)
5x3=
(l)
6x4=
x4
© R. I . C.Publ i cat i ons 5+5+5+5= x5 (k) 7 + 7 + 7 + 7 = •f orr evi ew pur p osesonl y•x 7
2x8=
m . u
(e)
(g) 2 + 2 + 2 + 2 + 2 + 2 =
w ww
3. Make these number stories equal to 20. (a) 10 + (b) 9 + (c) 23 –
. te
o c . (g) 25 – (l) 4 x (q) c e her r o t s s r u e p (h) 10 x (m) + 16 (r) (f)
17 +
(k)
(d) 20 x
(i)
+ 14
(n) 11 +
(e) 12 +
(j)
+ 15
(o)
4. Write three numbers sentences of your own to equal 20.
• 42 • New Wave Maths for WA Book C
–7
(p) 2 x
(s) 22 – – 10
(t) 5 x
+ 18 +1
N2.2—Use a calculator to assist in solving multiplication and repeated addition problems. Use Base 10 MAB to assist in solving number stories.
x3
ew i ev Pr
Teac he r
(a) 3 + 3 + 3 + 3 + 3 =
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Unit 15–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) $23 – $21 =
(b) $38 – $32 =
(c) $56 – $54 =
(d) $87 – $83 =
(e) $69 – $65 =
(f) $45 – $42 =
Rate Your Choice ✓ Hot!
Calculator
Cold!
r o e t s Bo r e p ok u S
What shapes are made?
ew i ev Pr
Teac he r
2. Use the 1-cm dot grid below to draw shapes, by connecting dots, that will enclose 3, 4, 5 or 6 dots. Can one particular shape, for example, a square, be drawn to enclose 3, 4, 5 or 6 dots? Try other shapes.
w ww
o c . che e r o t r s super
S2.2—Draw 2-D shapes according to specific instructions.
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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New Wave Maths for WA Book C • 43 •
Unit 15–2 Mental
1. Choose a method to solve some or all of these.
Written
Calculator
(a) 43c – 2c =
(b) 65c – 3c =
(c) 26c – 4c =
(d) 39c – 7c =
(e) 48c – 5c =
(f)
Rate Your Choice ✓ Hot!
57c – 6c =
Cold!
r o e t s Bo r e p ok u S
2. Write how many cents there are in the following amounts of money. (a) $6
(e)
$3
(d)
(f)
$8
$4
3. Write the number of cents needed to buy the following items.
ew i ev Pr
Teac he r
(b) $2
(c) $5
(a) a car and a doll
(d) a ball and a doll
(b) a ball and a teddy
(e) a teddy and a car
(c) a spade and a ball
(f)
a doll and a teddy
© R. I . C.Publ i cat i ons 2 ur •f orr evi ew$p posesonl y•$6
4.
o c . c e he r Write how many cents change you will get from $9 if youo buy these items. t r s super (a) a teddy (g) a teddy and a spade (b) a doll
(h) a car and a ball
(c) a spade
(i)
a car and a spade
(d) a ball
(j)
a ball and a teddy
(e) a car
(k) a ball and a doll
(f)
(l)
a spade and a ball
• 44 • New Wave Maths for WA Book C
a doll and a spade
N2.1a—Calculate the number of cents in dollar amounts.
$5 . te
m . u
w ww
$4
$3
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Written
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$44 – $20 =
Rate Your Choice ✓ Hot!
(f)
(e) 53c – 40c =
Calculator
Cold!
10
8
8 7 6
11 12
7 6
11 12
5
1
5
1
4
2
4
2 3
11 12
3
9
8
10
(f)
7 6
11 12
5
1
1
4
2 3 9 8
10
(g)
(c)
6
11 12
Teac2 10 3 9 9 h 4 e8 8 r7 7 6 5
10
(b)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
5
1
2
4
2
3
3
7
6
11 12
5
1
4
6
11 12
m 910 .8 u7
(a)
5
1
4
2 3
9
8
10
(b)
11 12
1
2
3
7
6
5
4
9
8
10
(c)
7
6
11 12
5
1
4
2
3
8
8
9 8
10
(d)
9
10
(h)
9
10
(d)
3. Read these clocks and write the quarter-hour or half-hour readings.
9
10
9
(e)
. te
(d) $71 – $30 =
(c) $98 – $60 =
(b) 67c – 40c =
(a) 38c – 20c =
Mental
(a)
2. What 12-hour times are shown on these clock faces?
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
M2.2, WM2.1—Recognise times on analog clocks.
6
6
7
6
11 12
7
11 12
7
11 12
5
1
5
1
5
1
4
2
4
2
4
2
3
3
3
Unit 15–3
New Wave Maths for WA Book C • 45 •
Unit 16–1 Mental
1. Choose a method to solve some or all of these. (a)
12 14 22
+
(b)
Rate Your Choice ✓ Hot!
(c) +
24 14 21
(d) +
13 24 12
(e) +
21 12 12
Calculator
(f) +
31 11 13
r o e t s Bo r e p ok $1.20 u S Cold!
5c
15c
c
25
ew i ev Pr
Teac he r
20c
+
13 13 12
Written
2. What would your lunch cost if you were to buy:
w ww
(a) one piece of pizza and one apple?
m . u
10 c © R. I . C.Publ i cat i ons 55 1 0 c• •f orr evi ew pur esonl y cpos $1.50
(f)
one piece of pizza, a fruit juice and an apple?
(c) (d)
(g) one glass of milk, one celery stick, one apple and a cake? (h) one fruit juice, an apple and a burger? (i)
a cake, one piece of pizza and one glass of milk?
(j)
one celery stick, a burger and a fruit juice?
• 46 • New Wave Maths for WA Book C
N2.1a—Calculate amounts of money.
(e)
. teand one carton of fruit juice? o one celery stick c . c e he r one apple, one carrot and an icy pole? o t r s s r u e p one burger and a cake?
(b) one burger and one carton of fruit juice?
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Unit 16–2 Mental
1. Choose a method to solve some or all of these. (a) +
32 43 23
(b) +
Rate Your Choice ✓ Hot!
43 44 12
(c) +
51 24 13
(d)
24 33 31
+
(e)
Written
62 11 24
+
Calculator
(f)
17 11 31
+
r o e t s Bo r e p ok u S Cold!
2. Mark these numbers on the face of a 2-cm cube (or use a die) – 1, 2, 3, 4, 5 and 6.
5+ 4
© R. I . C.Publ i cat i ons 2 • f o r r e v i e w p u r p osesonl y• Throw the cube ten times and check your results. Are they as expected?
3
1 1
2
w ww
3 4 5 Number on cube
m . u
(b)
Number of times thrown
Explain your answer.
ew i ev Pr
Teac he r
(a) In ten throws, which number do you think will most likely be thrown?
. te
C&D2.1—Investigate, record and explain results of chance activities.
3.
6
o c . Answer these. che e r o t r s super (a) Is it more likely to rain during third term than first term? Explain.
(b) Are you more likely to come to school in a car or on a bike? Explain.
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New Wave Maths for WA Book C • 47 •
Unit 16–3 1. Choose a method to solve some or all of these. (a) +
20 33 26
(b) +
Rate Your Choice ✓ Hot!
40 38 10
(c) +
10 34 25
Mental
(d) +
50 27 12
Written
(e)
16 40 30
+
Calculator
(f) +
23 30 16
r o e t s Bo r e p ok u S Cold!
2. Count these coins and write the total.
ew i ev Pr
Teac he r
(a)
(b)
(c)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te
o c . che e r o t r s super
(g)
(h)
• 48 • New Wave Maths for WA Book C
N2.1a—Calculate amounts of money.
(f)
w ww
(e)
m . u
(d)
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58 – 34 =
Rate Your Choice ✓ Hot!
(f)
(e) 75 – 42 =
(d) 86 – 31 =
(c) 67 – 24 =
Cold!
m . u
o c . che e r o t r s super (c)
(b)
(b) 84 – 53 =
Calculator
(a)
Written
triangle
Teac he r
2. Draw three different types of triangles. Draw the mirror image of each triangle in the box next to it.
. te
(a) 79 – 26 =
Mental
1. Choose a method to solve some or all of these. mirror image
r o e t s Bo r e p ok u S
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ew i ev Pr
w ww
S2.2—Draw mirror images of triangles.
Unit 17–1
New Wave Maths for WA Book C • 49 •
Unit 17–2 Mental
1. Choose a method to solve some or all of these.
Written
(a) 89 – 65 =
(b) 78 – 56 =
(c) 97 – 53 =
(d) 92 – 71 =
(e) 68 – 45 =
(f)
Rate Your Choice ✓ Hot!
Calculator
54 – 21 =
Cold!
r o e t s Bo r e p ok u S
2. Add these amounts. +
=
(b)
=
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• +
+
+
=
(a)
(b)
w ww
3. Count to find the total of each row of money.
. te
o c . che e r o t r s sup r =e
(c)
(d) • 50 • New Wave Maths for WA Book C
=
=
=
N2.1a—Calculate amounts of money.
(d)
=
m . u
(c)
+
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Teac he r
(a)
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Unit 17–3 Mental
1. Choose a method to solve some or all of these.
Calculator
(a) 30 – 20 =
(b) 40 – 30 =
(c) 60 – 50 =
(d) 90 – 80 =
(e) 70 – 60 =
(f)
Rate Your Choice ✓ Hot!
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
1 2
July
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
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 31
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28
31 3 4 5 6 7 1 8 2 9
11 12 13 14 15 16 17
18 19 20 21 22 23 24
17 18 19 20 21 22 23
24 25 26 27 28 29 30
1 2 3 4 5 6
25 26 27 28 29 30 31
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 29 23 30 24 25 26 27 28
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 28 22 29 23 30 24 25 26 27
1 2 3 4
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 31
w ww
(a) School starts on Wednesday of the fifth week.
. te
(b) Term 1 ends on Friday of the fifteenth week.
(f)
19 20 21 22 23 24 25
26 27 28 29 30 31
30 2 3 4 5 6 7 1 8
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
1 2 3 4 5 6 7
1 2
8 9 10 11 12 13 14
Mark Ella Mark Ella is still regarded as one of the greatest rugby players of all time.
Third term ends on Friday of the thirty-ninth week.
Mark your birthday on the calendar.
(j)
Mark the first day of autumn on the calendar.
15 16 17 18 19 20 21
22 29 23 30 24 31 25 26 27 28
February Monday Wednesday Thursday Friday
(i)
23 24 25 26 27 28 29
of Australia
Tuesday
(h) Fourth term ends on Wednesday of the fifty-first week.
16 17 18 19 20 21 22
Rugby Heroes
Sunday
(g) Fourth term starts on Monday of the forty-second week.
9 10 11 12 13 14 15
December
o c . Second term ends on Friday of the twenty-seventh week. ch e r er o t Third term starts on Tuesday of s theu thirtieth week. s per
(c) Term 2 starts on Monday of the eighteenth week.
(e)
12 13 14 15 16 17 18
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2. Circle these days (dates) on the calendar. Begin from January 1.
(d)
5 6 7 8 9 10 11
November
October
September
August 4 5 6 7 1 8 2 9 3 10
10 11 12 13 14 15 16
m . u
1 2 3 4 5
3 4 5 6 7 8 9
June
May
April
March
February
Teac he r
6 7 8 9 10 11 12
r o e t s Bo r e p ok u S
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Sunday Monday Tuesday Wednesday Thursday Friday Saturday
80 – 40 =
Cold!
January
M2.2, WM2.1—Measure time reading a calendar.
Written
Saturday
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
(k) Mark the last day of spring on the calendar. R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book C • 51 •
Unit 18–1 1. Choose a method to solve some or all of these.
Mental
Written
(a) 4 x 0 =
(b) 0 x 8 =
(c) 9 x 0 =
(d) 6 x 0 =
(e) 2 x 0 =
(f)
Rate Your Choice ✓ Hot!
Calculator
0x7=
Cold!
r o e t s B r 70 ÷ 10 = 7 e o p ok u S Write the answers for these.
If I know ➔ 7 x 10 = 70 I should also know ➔
Teac he r
10 x 8 =
80 ÷ 10 =
(b) 5 x 2 =
2x5=
10 ÷ 5 =
80 ÷ 8 = 10 ÷ 2 =
© R. I . C.Publ i cat i ons Complete the problems below.Work across the page. •f orr evi ew pur posesonl y• 2x7=
14 ÷ 2 =
14 ÷ 7 =
(b) 9 x 5 =
5x9=
45 ÷ 9 =
45 ÷ 5 =
6 x 10 =
60 ÷ 10 =
3x5=
15 ÷ 3 =
6x3=
18 ÷ 6 =
(h) 7 x 3 =
3x7=
21 ÷ 7 =
21 ÷ 3 =
(i)
3x9=
9x3=
27 ÷ 9 =
27 ÷ 3 =
(j)
4x8=
8x4=
32 ÷ 8 =
32 ÷ 4 =
(k) 9 x 2 =
2x9=
18 ÷ 2 =
18 ÷ 9 =
(l)
8x5=
40 ÷ 8 =
40 ÷ 5 =
(c) 10 x 6 = (d) 5 x 3 = (e) 3 x 6 = (f)
6x5=
(g) 9 x 4 =
. te
60 ÷ 6 = 15 ÷ 5 =
18 ÷ 3 = o c . ch e 5x6= 30 ÷ 6 = r 30 ÷ 5 = er o t s supe36r 4x9= ÷4= 36 ÷ 9 =
5x8=
• 52 • New Wave Maths for WA Book C
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N2.2, N2.3—Use knowledge of multiples to solve related multiplication and division problems.
w ww
(a) 7 x 2 =
m . u
3.
(a) 8 x 10 =
70 ÷ 7 = 10
ew i ev Pr
2.
10 x 7 = 70
Unit 18–2 1. Choose a method to solve some or all of these.
Mental
Written
(a) 6 x 2 =
(b) 2 x 7 =
(c) 2 x 5 =
(d) 3 x 2 =
(e) 9 x 2 =
(f)
Rate Your Choice ✓ Hot!
Calculator
4x2=
Cold!
r o e t s Bothe Week r e Maximum Temperature Graph for p ok 36° u S 35°
ew i ev Pr
Teac Temperature h (°C) er
2. Look at the graph and answer the questions which follow.
34° 33° 32°
© R. I . C.Publ i cat i ons 30° •29° f orr evi ew pur posesonl y• 31°
Tue
Wed
Thu
Fri
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(a) Which day was the hottest? (b) What temperature was recorded on the coolest days?
. te
C&D2.4—Interpret information on a graph to answer questions.
Sun
o c . c e hwasr r How many degrees hottere Friday than Thursday?t o s super
(c) Which two days had the same temperature?
(d)
Sat
m . u
Mon
and
(e) Which day had a temperature of 33 °C? (f)
What temperature was recorded on Saturday?
(g) What was the temperature on Tuesday and Thursday? (h) Which day had a temperature of 31 °C? (i)
What was the temperature on Friday?
(j)
Which day had a temperature of 34 ºC?
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New Wave Maths for WA Book C • 53 •
Unit 18–3 1. Choose a method to solve some or all of these.
Mental
Written
(a) 3 x 4 =
(b) 7 x 3 =
(c) 2 x 3 =
(d) 5 x 3 =
(e) 3 x 8 =
(f)
Rate Your Choice ✓ Hot!
Calculator
6x3=
Cold!
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Use three different colours to circle three equal shares of this money with the same number of coins in each share.
w ww
. te o c How many 10c coins in each share? . che e r o t r s super How many 20c coins in each share?
(a) How many 5c coins in each share? (b) (c)
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
N2.1a—Share amounts of money equally.
(d) How many coins are there altogether in each share? (e) What is the value of the coins in each share? (f)
How much money is shown altogether?
(g) How many coins are there of each value? • 54 • New Wave Maths for WA Book C
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2
2
2
2
14
8
10
12
6
18
Calculator
Cold!
Teac he r
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
... ... ... . ... ... ... ... ... ... e . ... ... . ct ubje
S
m Na
er Sup book p a Scr
m . u
ppy's a r Sc
3. Draw shapes you find in objects in the classroom to show a line of symmetry in them. For example:
o c . che e r o t r s super
Rate Your Choice ✓ Hot!
(f)
(e)
(d)
(c)
2
2
Written
. te
(b)
(a)
Mental
2. Draw lines of symmetry in each of the shapes below.
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
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S2.3—Identfy symmetry in 2-D and 3-D shapes.
Unit 19–1
New Wave Maths for WA Book C • 55 •
Unit 19–2 Mental
1. Choose a method to solve some or all of these. (a)
(b) 3
3
(c) 3
27
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(d) 3
18
Written
(e) 3
12
Calculator
(f) 3
15
3
21
Cold!
r o e t s Bo r e p ok u S
(a) How many students are there in the school altogether? (b) How many students are there in the largest class? (c) How many more students are there in the largest class than in the smallest class?
The class of 21 students goes on an excursion in a bus.The bus seats 27.
ew i ev Pr
Teac he r
2. There are three classrooms in a school. The rooms have 21, 24 and 20 students.
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Twelve students are absent from school on one day.
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(e) How many students are present on that day?
m . u
(d) How many spare seats will there be?
(g) How many students are there in Year 3? (h) How many students in Years 1 and 2? (i)
Is this class the smallest in the school? Yes
No
• 56 • New Wave Maths for WA Book C
N2.3, WM2.2—Work out number problems logically.
. teare there in the school? o (f) How many boys c . che e r o The class of 21 students is mader up of students in Years 1, 2 and 3. t s s r u e p There are the same number of students in each year. There are 32 girls enrolled at the school.
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Unit 19–3 Mental
1. Choose a method to solve some or all of these. (a)
(b) 4
20
(c) 4
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16
(d) 4
32
Written
(e) 4
8
Calculator
(f) 4
36
4
24
Cold!
r o e t s Bo r e p o u Explanation k S
2. Make a shadow stick and explain how you can use one to tell the time.
ew i ev Pr
Teac he r
Drawing
m . u
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Day Two
. te oLength of Shadow c Time of Day Length of Shadow Time of Day. che e r o r st super
Day One
M2.2, WM2.1—Record times of the day using a shadow stick.
w ww
3. Place your shadow stick on a large sheet of paper in a sunny spot. Mark the shadow every hour. Measure the shadows and record your results below. Repeat on another day and compare results.
New Wave Maths for WA Book C • 57 •
Unit 20–1 Mental
1. Choose a method to solve some or all of these. (a) +
3c 7c 6c
(b)
5c 4c 7c
+
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(c) +
6c 6c 6c
(d) +
8c 7c 4c
Written
(e)
6c 9c 3c
+
Calculator
(f) +
9c 4c 6c
r o e t s Bo r e p ok u S Cold!
(a) Share
between two people.
ew i ev Pr
Teac he r
2. Share this money equally.
How much will each receive?
two people. How much will each receive? ©between R. I . C.Publ i c at i ons •f orr evi ew pur posesonl y• among four people.
w ww
. te
How much will each receive?
o c . che e r o t r s super
(d) Share among three people.
How much will each receive?
(e) Share between two people.
How much will each receive?
(f)
Share among four people.
• 58 • New Wave Maths for WA Book C
How much will each receive?
N2.1a, N2.2—Share amounts of money equally.
(c) Share
m . u
(b) Share
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Unit 20–2 1. Choose a method to solve some or all of these.
Mental
Written
(a) 35c + 24c =
(b) 43c + 25c =
(c) 16c + 51c =
(d) 82c + 17c =
(e) 47c + 41c =
(f) 23c + 12c =
Rate Your Choice ✓ Hot!
Calculator
Cold!
r o e t s Bo r e p ok u S oranges
ew i ev Pr
Teac he r
2. Record the results of a survey of your class about who likes apples, oranges or both, in the Venn diagram. Record preference by initials only.
apples
both
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m . u
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3. Write these numbers in the correct places in the Venn diagram. Multiples of 2 to 20 (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and multiples of 3 to 30 (3, 6, 9, 12, 15, 18, 21, 24, 27, 30).
. te
o c . Multiples of 2 Multiples of 3 ch e r er o Multiplesr t s su e p of both
C&D2.3—Record data in a Venn diagram.
2 and 3
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New Wave Maths for WA Book C • 59 •
Unit 20–3 Mental
1. Choose a method to solve some or all of these. (a) +
$5 6 $3 2
(b)
(c) +
$5 4 $4 5
(d) +
$3 6 $4 1
+
(f) +
$4 2 $1 6
r o e t s Bo r 2.e Complete these maths problems. p ok u S (a) 5 + 5 + 2 =
(f) 5 + 7 + 4 =
(b) 3 + 3 + 8 =
(g) 7 + 1 + 4 =
(c) 6 + 4 + 6 =
(h) 5 + 6 + 5 =
(d) 3 + 8 + 7 =
(i) 3 + 6 + 3 =
(e) 9 + 5 + 1 =
(j) 4 + 4 + 4 =
(c) 2 + 9 + 5 + 3 =
(j) 5 + 2 + 7 + 3 =
(d) 1 + 6 + 2 + 1 =
(k) 8 + 4 + 1 + 1 =
w ww
(i) 3 + 5 + 4 + 5 =
. te 3+2+5+4=
(e) 8 + 1 + 2 + 4 =
(g) 4 + 1 + 1 + 4 =
m . u
© R. I . C.Publ i cat i ons r evi e r sesonl y• 5 + 2• + 8f +o 3 =r (h)w 3 +p 3 +u 6+ 4p =o
(b) 3 + 3 + 3 + 3 =
(f)
(e)
Cold!
3. Now complete these maths problems. (a)
$6 3 $2 5
Calculator
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Teac he r
Rate Your Choice ✓ Hot!
+
$2 8 $4 1
Written
o c . che(n) 9 + 2 + 2 + 5 = e r o t r s super (l) 2 + 2 + 3 + 3 = (m) 7 + 1 + 3 + 4 =
• 60 • New Wave Maths for WA Book C
(a) 14 – 7 =
(f) 13 – 7 =
(b) 17 – 9 =
(g) 15 – 7 =
(c) 18 – 9 =
(h) 9 – 5 =
(d) 11 – 5 =
(i) 10 – 5 =
(e) 14 – 6 =
(j) 19 – 8 =
N2.3—Solve addition and subtraction problems.
4. Now complete these maths problems.
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Unit 21–1 Mental
1. Choose a method to solve some or all of these. (a) –
$4 7 $3 7
(b)
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–
6 5c 3 5c
(c) –
8 1c 6 1c
(d) –
$9 3 $4 3
(e)
Written
7 6c 3 6c
–
Calculator
(f) –
$3 6 $1 6
r o e t s Bo r e p ok u S Cold!
2. Look at a map of your town or local area.
Teac he r
ew i ev Pr
(a) What facilities (ovals, pools, playgrounds, schools, shopping centres and so on) are located close to each other?
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3.
m . u
w ww
S2.1—Identify facilities on a map and discuss the location of facilities in their community.
(b) Why do you think these facilities are found close together?
. tea town, explain which facilities you would see aso If you were planning most important to c . be located near each other. che e r o r st super
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New Wave Maths for WA Book C • 61 •
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
Unit 21–2
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• List the first 10 numbers below.
w ww
. te
3. What number patterns do you think this flip array is showing?
o c . che e r o t r s super
4. What would happen to your pattern if you looked at the numbers in red?
• 62 • New Wave Maths for WA Book C
WM2.3—Work mathematically to identify and conjecture about number patterns.
2.
m . u
1. Look at the numbers in black on the flip array.
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Unit 21–3 Mental
1. Choose a method to solve some or all of these. (a) –
$9 0 $2 0
(b) –
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$5 0 $4 0
(c) –
7 0c 3 0c
(d) –
8 0c 7 0c
(e)
Written
6 0c 1 0c
–
Calculator
(f) –
$7 8 $2 6
Cold!
r o e t s Bo r e p ok u S
2. Use a metre stick to find the lengths of the following.
(b) Classroom
metres
(c) Oval
metres
Teac he r
metres
ew i ev Pr
(a) Basketball court
(a)
cm
(c)
cm
(e)
w ww
(b)
(a)
cm
(b)
cm
(c)
cm
(d)
cm
(e)
cm
(d)
M2.2, N2.3—Measure lengths in metres and centimetres.
4.
. te
cm
m . u
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3. Measure each of the lines below. Write half of its length next to each.
o c . che e r o Measure each of the lines below.r t s super Write double its length next to each.
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cm
New Wave Maths for WA Book C • 63 •
Unit 22–1 Mental
1. Choose a method to solve some or all of these. (a) +
23 42 4
(b) +
51 4 33
+
7 81 11
(d) +
61 4 22
(e)
43 31 5
+
Calculator
(f) +
4 32 11
r o e t s Bo r epattern. Draw the next picture forp each ok u S Rate Your Choice ✓ Hot!
Cold!
(a)
(b)
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2
9
3
6
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1
(c)
4
m . u
1
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Teac he r
2.
(c)
Written
o c . che e r o t r s s r u e p 4 6
1
3
• 64 • New Wave Maths for WA Book C
5
N2.4—Solve pictorial number patterns.
(d)
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Unit 22–2 Mental
1. Choose a method to solve some or all of these. (a)
50 6 23
+
(b)
32 6 40
+
+
4 20 34
(d) +
30 24 5
(e)
23 60 4
+
Calculator
(f) +
20 46 3
r o e t s B r e oao Use a paragraph from your reading or library book to keep tally of the words. p u kTotal S Tally Rate Your Choice ✓ Hot!
Cold!
ew i ev Pr
Teac he r
2.
(c)
Written
three letters four letters five letters
© R. I . C.Publ i cat i ons • f o r e vi ew pofu r po se onl y• Which was ther most common number letters found ins words? six letters
(a)
(b) How many of the most common were there?
3. Repeat the above activity using a different book.
C&D2.2, C&D2.4—Collect, record and analyse data in categories.
. te three letters four letters
Yes
No
m . u
w ww
(c) Will the answer to this investigation always be the same?
o c . che e r o t r s super Tally
Total
five letters six letters Were the results similar?
Yes
No
Explain.
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New Wave Maths for WA Book C • 65 •
Unit 22–3 1. Choose a method to solve some or all of these. 233 24
+
Rate Your Choice ✓ Hot!
(c) +
314 23
(d) +
153 44
(e) +
212 35
(f)
162 25
+
Teac he r
$1.80
ew i ev Pr
c
.60
75
$1
r o e t s Bo r e p ok u S
.10
Cold!
95c
$2.80
415 62
Calculator
$2
+
(b)
Written
$1.3
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
0
0 3 . 4 $
w ww
m . u
(a)
Mental
most
. te
o c . che e r o t r s super least
3. Answer these. (a) What is the difference in value between the most expensive and least expensive? (b) What three coins could you use to buy the sugar? (c) What two coins could you use to buy the jam? • 66 • New Wave Maths for WA Book C
N2.1a—Order prices from most to least expensive and answer related questions.
2. List the items in order from the most expensive to the least expensive.
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–
–
–
–
80 50
90 50
60 30
70 50
80 40
Calculator
Cold!
Teac he r
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
m (a) . What are the most common shapes used in the plan? u (b) Why do you think these shapes are the most common?
o c . che e r o t r s super
Rate Your Choice ✓ Hot!
(f)
(e)
(d)
(c)
–
–
50 20
Written
2. In the space below, draw a plan of the school or your house showing the outside (external) walls.
. te
(b)
(a)
Mental
1. Choose a method to solve some or all of these.
r o e t s Bo r e p ok u S
ew i ev Pr
w ww
S2.1, WM2.2—Draw a plan for a specific purpose.
Unit 23–1
New Wave Maths for WA Book C • 67 •
Unit 23–2 Mental
1. Choose a method to solve some or all of these. (a)
600 300
–
(b)
–
900 700
(d)
500 200
–
(e) –
700 400
(f) –
400 300
r o e t s Bo r e A 20c p ok u S D 40c Cold!
E 30c
15c
G 10c
B
–
(c)
Calculator
ew i ev Pr
Teac he r
Rate Your Choice ✓ Hot!
800 500
Written
© R. I . C.Publ i ca i ons Ft 25c •f o evi ew pur posesonl y• Crr
45c
w ww
m . u
H 35c
2. How much change from 50c will you receive when you buy these presents for your friends at Christmas?
(b)
(c) Ruby – present E (d) Daniel – present F
o c . che e r (g) t Brent o r s – present D super (e) Ian – present A (f)
Julia – present C
(h) Simon – present G
3. How much change from $1.00 will you receive when you buy these presents for your friends for Christmas? (a) Brett – present E
(d) Taylor – present C
(b) Coleen – present G
(e) Bob – present F
(c) Rochelle – present A
(f)
• 68 • New Wave Maths for WA Book C
June – present D
N2.1a—Calculate the amount of change needed for given amounts.
. te Stuart – present H
(a) Mark – present B
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Unit 23–3 Mental
Written
Calculator
1. Choose a method to solve some or all of these. (a) –
400 100
(b) –
Rate Your Choice ✓ Hot!
900 300
(c) –
500 400
(d) –
800 200
(e) –
600 400
(f) –
700 300
Cold!
r o e t s Bo r e p ok u S Container Tally Total
ew i ev Pr
Teac he r
2. Keep a tally of the number of small plastic cups of sand, grain or water it takes to fill five large containers of your choice (for example, an ice-cream container or a jar).
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(a) Which container held the most?
. te
(b) Which container held the least?
o c . c e hcontainer r How many of the smalleste o t r s super would it take to fill the largest?
(c) What is the difference in the number of cups between the largest and smallest total?
M2.2, WM2.3—Measure the volume of containers in cups.
(d)
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(e) Arrange the containers in order from smallest to largest.
(f)
Can you find a quicker way to discover the number of small plastic cups needed to fill the largest container?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book C • 69 •
Unit 24–1 1. Choose a method to solve some or all of these. (a) x
4 4
(b)
8 4
x
Rate Your Choice ✓ Hot!
(c) x
2 4
Mental
(d) x
7 4
(e)
Written
4 5
x
Calculator
(f) x
6 4
Cold!
r o e t s Bo r e p ok u S
2. Complete the problems below.Work across the page.
9 x 200 =
2 x 70 =
2 x 700 =
(c) 8 x 3 =
8 x 30 =
8 x 300 =
(d) 5 x 6 =
5 x 60 =
5 x 600 =
(e) 7 x 5 =
7 x 50 =
7 x 500 =
(b) 2 x 7 =
(g)
1 x 40 = 1 x 400 = © R. I . C. Publ i cat i ons 0x9= 0 x 90 = 0 x 900 = •f orr evi ew pur posesonl y• 1x4=
6 x 80 =
6 x 800 =
(i)
4 x 60 =
4 x 600 =
w ww
(j)
4x6= 3x4=
. te
3 x 40 =
3 x 400 =
3. Complete the problems below.Work across the page. (a) 9 x 3 =
m . u
(h) 6 x 8 =
27 ÷ 3 = o c . 35 ÷ 7 = c7h e x5= 35 ÷ 5 = r er o t s s r u e p 4x7= 28 ÷ 4 = 28 ÷ 7 = 3x9=
27 ÷ 9 =
(d) 2 x 9 =
9x2=
18 ÷ 2 =
18 ÷ 9 =
(e) 6 x 5 =
5x6=
30 ÷ 6 =
30 ÷ 5 =
(f)
8x4=
4x8=
32 ÷ 8 =
32 ÷ 4 =
(g) 7 x 5 =
5x7=
35 ÷ 7 =
35 ÷ 5 =
(h) 4 x 6 =
6x4=
24 ÷ 4 =
24 ÷ 6 =
(b) 5 x 7 = (c) 7 x 4 =
• 70 • New Wave Maths for WA Book C
N2.2, N2.3—Use knowledge of multiples to solve patterns and combinations of multiplication and division problems.
(f)
ew i ev Pr
9 x 20 =
Teac he r
(a) 9 x 2 =
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Unit 24–2 Mental
Written
Calculator
1. Choose a method to solve some or all of these. (a) x
3 5
(b) x
Rate Your Choice ✓ Hot!
9 5
(c)
5 7
x
(d)
6 5
x
(e)
5 5
x
(f)
8 5
x
Cold!
r o e t s Bo r e p ok u S
2. Survey the students in your class to show which is their favourite fast food.
Fish and Chips
Hamburgers
(a)
Pizza
1
2
3
4
5
6
ew i ev Pr
Teac he r
Chicken and Chips
7
8
9
Number of students © R. I . C.Publ i cat i ons • o rr efast vi ew pur posesonl y• Which is f the favourite food?
10+
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3. Below is a pie graph showing children’s favourite sports. Can you answer the questions below?
. te
(a) Which is the most popular sport?
C&D2.4—Collect, record and analyse data in graphs.
(b)
m . u
(b) What is the least favourite fast food?
o c . c e her r Which is the least popular o t s super sport?
netball swimming baseball basketball cricket
(c) Order the sports from most popular to least popular.
(d) Why do you think this type of graph is called a ‘pie’ graph?
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New Wave Maths for WA Book C • 71 •
Unit 24–3 1. Choose a method to solve some or all of these. (a) x
5 0
(b) x
Rate Your Choice ✓ Hot!
0 7
(c) x
0 6
Mental
(d)
0 8
x
Written
(e)
9 0
x
Calculator
(f) x
r o e t s Bo r e p ok u S Cold!
Teac he r
(a) Mum – present B (b) Dad – present H
(c) Aunt Amy – present E (d) Uncle Phillip – present F (e) Aunt Sandy – present A
A 80c
c 5 5
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B 25c
2. How much change from $1.00 will you receive when you buy these presents for your relatives at Christmas?
(f)
4 0
D
© R. I . C.Publ i cat i ons E1 • f o r r e v i e w p u r p o s e s o n l y • Grandma – present D 0c Uncle Tom – present C
C
c
90
(g)
. te
o c . c e her + Present B and present H: = r o t s super
(a) Present A and present G: (b)
F 40c
+
=
(c) Present F and present G:
+
=
(d) Present E and present H:
+
=
(e) Present C and present E:
+
=
(f)
+
=
Present D and present B:
• 72 • New Wave Maths for WA Book C
c
G
60
c
H
50
N2.1a—Calculate amounts of money and change needed for given amounts.
w ww
3. What is the total cost of buying these presents?
m . u
(h) Grandpa – present G
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Unit 25–1 1. Choose a method to solve some or all of these. (a)
(b) 5
30
(c) 5 5
Rate Your Choice ✓ Hot!
Mental
(d) 5
20
Written
(e) 5
25
Calculator
(f) 5
45
5
15
Cold!
r o e t s Bo r e p ok u S
2. You will need five sheets of A4 paper for this activity.
(a)
Teac he r
(a) Fold one sheet of paper in half long ways.
(b)
(b) Fold the paper again in half crossways.
Describe how you made the cut.
ew i ev Pr
(c) Cut a piece from the page to make a rectangle
with your cut.
with your cut. © R. I . C.Publ i cat i o ns Describe how you made the cut. •f orr evi ew pur posesonl y•
(e) Repeat with another piece of paper to make a triangle
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Describe how you made the cut.
S2.2—Make constructions from written instructions.
(f)
with your cut.
m . u
(d) Repeat with another piece of paper to make a square
. te piece of paper to make a tree with your cut. o Repeat with another c . c e Describe how you made the cut. h r er o t s super
(g) Repeat with another piece of paper to make a person with your cut. Describe how you made the cut.
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New Wave Maths for WA Book C • 73 •
Unit 25–2 1. Choose a method to solve some or all of these. (a)
(b) 10 2 0
(c) 10
80
Rate Your Choice ✓ Hot!
Mental
(d) 10 7 0
Written
(e) 10 5 0
Calculator
(f) 10 3 0
10
40
Cold!
r o e t s Bo r e p 64 ok The calculation was:u 21 S
ew i ev Pr
Teac he r
2. Brett and Rochelle worked out a calculation. Each had different answers but argued their answer was correct.
Brett’s answer was 43. Rochelle’s answer was 85.
(a) Who was correct?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
3. Write two answers that may be found from these calculations. (a)
86 12
(b)
34 23
(c)
Answer 1
Answer 1
Answer 1
Answer 2
Answer 2
Answer 2
• 74 • New Wave Maths for WA Book C
55 14
N2.3, WM2.4—Work out number problems logically.
w ww
. te
m . u
(b) Why did they get different answers?
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Written
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18c ÷ 2 =
Cold!
o c . che e r o t r s super
(d)
(c)
(b)
(a)
m . u
2. What would be the number of shapes in these groups if each group was doubled?
Rate Your Choice ✓ Hot!
(f)
(e) $21 ÷ 3 =
(d) 36c ÷ 6 =
Calculator
. te
(c) 27c ÷ 3 =
(b) $18 ÷ 3 =
(a) $28 ÷ 4 =
Mental
1. Choose a method to solve some or all of these.
Teac he r
3. What would be the number of shapes in these groups if each group was halved?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• (d)
(c)
(b)
(a)
r o e t s Bo r e p ok u S
ew i ev Pr
w ww
M2.2—Double and halve numbers of shapes.
Unit 25–3
New Wave Maths for WA Book C • 75 •
Unit 26–1 Mental
1. Choose a method to solve some or all of these. (a)
2 8c 4 0c
+
(b) +
Rate Your Choice ✓ Hot!
3 2c 5 0c
(c) +
6 1c 3 0c
(d)
2 4c 5 0c
+
(e) +
Written
3 3c 2 0c
r o e t s Bo r e p ok u S
Calculator
(f) +
4 6c 4 0c
Cold!
2. Subtract these numbers. (a)
(b)
–
80 40
(c)
–
7 3
3. Now subtract these. (a) 90 – 70 =
(e) 60 – 30 =
© R. I . C i cat i on (f) . 70P –u 60 b = l (h)s 40 – 20 = •=f orr evi ew pur poseso 60 – 50 (i) n 50 l –y 30 =• (j) 80 – 50 =
w ww
4. Add these numbers. +
2 3
. te
(b)
20 30
(c)
4 5
m . u
(d) 30 – 20 =
(a)
–
70 30
(g) 20 – 10 =
(b) 70 – 50 = (c)
(d)
ew i ev Pr
Teac he r
–
8 4
o c . che e r o t r s super +
+
(d)
+
40 50
(a) 10 + 50 =
(e) 30 + 60 =
(g) 10 + 80 =
(b) 30 + 30 =
(f) 20 + 50 =
(h) 50 + 50 =
(c) 40 + 20 =
(i) 20 + 60 =
(d) 70 + 20 =
(j) 30 + 40 =
• 76 • New Wave Maths for WA Book C
N2.3—Add and subtract multiples of ten.
5. Now add these.
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Unit 26–2 1. Choose a method to solve some or all of these. (a) +
2 8c 4 0c
(b)
Rate Your Choice ✓ Hot!
+
3 2c 5 0c
(d) +
2 4c 5 0c
(e)
3 3c 2 0c
+
Calculator
(f) +
4 4c 3 0c
Cold!
Vehicle
Total
ew i ev Pr
Teac he r
+
6 1c 3 0c
Written
r o e t s Bo r Tally e p o u k S cars
2. Keep a tally of the number of different vehicles that pass your school in fifteen minutes.
(a)
(c)
Mental
bikes buses trucks
© R. I . C.Publ i cat i ons Which• vehicle the common? f owas rr emost vi e w pur posesonl y• other
w ww
m . u
(b) Why do you think this is?
(c) Which vehicle was the least common?
(e)
. t e o Do you think your results would be c . different at a different of the day? ctime e her r o t s super Why?/Why not?
(f)
Were there more cars than all the ‘other’ vehicles together?
C&D2.2, C&D2.4, WM2.2—Collect, record and analyse data.
(d) Were there more bikes than trucks?
Yes
Yes
No
No
Yes
No
Why do you think this was?
(g) What was the most common ‘other’ vehicle that passed the school?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book C • 77 •
Unit 26–3 Mental
1. Choose a method to solve some or all of these. (a) +
$3 2 $1 4 $2 1
(b)
$5 1 $1 1 $3 3
+
Rate Your Choice ✓ Hot!
(c) +
$2 3 $2 3 $2 3
(d) +
$3 1 $3 5 $1 3
Written
(e)
$2 4 $1 1 $4 3
+
Calculator
(f) +
$3 2 $2 6 $1 1
r o e t s Bo r e p ok u S Cold!
2. Find the missing number.
(k) 6 + 7 =
(b) 5 + 8 =
(g) 4 + 6 =
(l)
(c) 13 – 8 =
(h) 6 + 4 =
(m) 9 + 8 =
(d) 9 + 7 =
(i)
10 – 6 =
(n) 8 + 9 =
(e) 7 + 9 =
(j)
7+6=
(o) 17 – 8 =
13 – 6 =
© R. I . C.Publ i cat i ons Find the missing number in these. •f orr evi ew pur posesonl y• (b)
=9
(f)
+6=9
(g)
w ww
(c) 9 –
(d) 8 +
=3
. +t 8e = 15
= 15
15 –
=8
(k)
+ 5 = 14
(l)
(h) 5 +
+ 4 = 12 12 –
=8
= 14
(m) 6 +
= 11
(i)
14 –
=5
(n) 5 +
= 11
(j)
4+
= 12
(o) 11 –
=5
o c . che e r o t r Find the missing numbers. s super
(e)
(a) 500 = 300 + (b) 800 =
(f) + 400
= 300 + 600
(g) 17 =
+8
(k) (l)
= 300 + 500 600 = 450 +
(c) 236 = 200 +
(h) 16 = 9 +
(m) 253 = 53 +
(d) 83 – 3 =
(i)
147 – 19 =
(n) 96 =
(e) 264 – 64 =
(j)
253 – 19 =
(o) 149 + 31 =
• 78 • New Wave Maths for WA Book C
+ 6
N2.2, N2.3—Solve number sentences using a calculator or Base 10 MAB.
(a) 3 +
4.
16 – 7 =
m . u
3.
(f)
ew i ev Pr
Teac he r
(a) 8 + 5 =
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Written
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5 x 4c =
Rate Your Choice ✓ Hot!
(f)
(e) 4 x 10c =
(d) 6 x 5c =
Calculator
.
m . u
o c . che e r o t r s super
Cold!
Teac he r
2. Draw these shapes on the other side of the dotted line to make them symmetrical.
. te
(c) 8 x 2c =
(b) 3 x 5c =
(a) 7 x 4c =
Mental
1. Choose a method to solve some or all of these.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
ew i ev Pr
w ww
S2.3—Complete shapes to make them symmetrical.
Unit 27–1
r o e t s Bo r e p ok u S
New Wave Maths for WA Book C • 79 •
Unit 27–2 1. Choose a method to solve some or all of these. (a) x
5c 3
(b)
8c 2
x
Rate Your Choice ✓ Hot!
(c) x
9c 3
Mental
(d)
5c 2
x
Written
(e)
7c 3
x
Calculator
(f) x
6c 4
Cold!
r o e t s Bo r e p ok 3. Halve these numbers. u S
2. Double these numbers.
15
(b) 6
(g) 9
(a) 20
(c) 5
(h) 10
(b) 10
(d) 2
(i)
8
(c) 14
(e) 1
(j)
12
(d) 4
(f)
16
(g) 12 (h) 6 (i)
18
8 © R. I . C.Pub(e)l i c at i ons(j) 2 f o rr evi ew pur posesonl y• Complete• these patterns. (a) 2, 4, 8, 16,
,
w ww
(b) 3, 6, 12,
,
(c) 4, 8, 12, 16, , 96
(d) 5, 10, 15,
,
5. Work out these patterns. (a) 3, 6, 9, 12, (b) 25, 20,
. te ,
(c) 5, 8, 11,
,
m . u
4.
(f)
ew i ev Pr
Teac he r
(a) 20
o c , 10, 5 (e) 2, 7, 12, . , che e r , , 20 r (f) 1,o 3, 7, 15, st super (d) 1, 3, 6, 10,
, 30
, 27
(a) 36, 30, 24,
,
(b) 50, 40, 30,
,
(c) 21, 18, 15,
,
(d) 23, 19, 15,
,
• 80 • New Wave Maths for WA Book C
N2.4—Solve number patterns.
6. Complete these patterns.
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Unit 27–3 1. Choose a method to solve some or all of these. (a) x
$9 5
(b) x
Rate Your Choice ✓ Hot!
$8 4
(c) x
$6 4
Mental
(d) x
$7 5
(e)
Written
$9 4
x
Calculator
(f) x
$5 3
Cold!
r o e t s Bo r e p ok u S
2. If the area of a number of shapes is the same, what happens to the perimeter?
ew i ev Pr
Teac he r
Use the grid on this page to draw a number of shapes with an area of 18 squares and then answer the question.
. te
m . u
w ww
M2.2, WM2.2—Draw shapes on a grid with a set area and compare the perimeter.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
What happens to the perimeter?
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New Wave Maths for WA Book C • 81 •
Unit 28–1 1. Choose a method to solve some or all of these. (a)
(b) 2 1 2c
(c) 3 $2 4
Rate Your Choice ✓ Hot!
Mental
(d) 2
1 8c
Written
(e) 3 1 2c
Calculator
(f) 2
$1 4
3
$1 8
Cold!
$3 r o e t s Bo r e p ok u S
2. Find the cost if you buy the following items. (a) 3 note pads
Teac he r
(b) 6 diaries
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(c) 2 packets of felt pens
$2
(d) 7 sets of biros (e) 5 sharpeners 9 note pads
© R. I . C.Publ i cat i ons $1 10 packets of felt pens •f orr evi ew pur posesonl y•
(g) 8 staplers
(i)
4 diaries
(j)
1 sharpener
$10
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(k) 8 sets of biros (l)
. te
7 packets of felt pens
(m) 2 sharpeners (n) 6 notepads (o) 3 diaries
m . u
(h)
o c . che e r o t r s super
$5
(p) 5 packets of felt pens (q) 9 staplers (r) 4 sets of biros (s) 3 sets of biros (t) 6 staplers • 82 • New Wave Maths for WA Book C
$4
N2.1a, N2.3—Use knowledge of multiples to calculate prices.
(f)
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Unit 28–2 Mental
1. Choose a method to solve some or all of these. (a)
(b) 5 $1 5
(c) 4 $3 2
Rate Your Choice ✓ Hot!
(d) 5 4 0c
Written
(e) 4 $2 0
Calculator
(f) 5 $3 5
4 4 0c
Cold!
Time use during the day r o e t s B r e oo p u k Leisure S Activities
2. Look at the graph and answer the questions which follow.
(b) How long is spent at school?
(c) Which two activities take up the same amount of time?
4 hours Eating 2 hours Watching TV 2 hours
ew i ev Pr
Teac he r
(a) Which activity takes up most of the day?
Sleeping 10 hours
School and © R. I . C. Publ i cat i on s 6 hours •f orr evi ew pur posesonl y•
Time spent on activity
o c . che e r o t r s super
C&D2.4—Collect, record and analyse data.
. te
Activity
m . u
w ww
3. Make a list of the activities you take part in during a school day. Next to each activity write the approximate time you spend on the activity.
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New Wave Maths for WA Book C • 83 •
Unit 28–3 1. Choose a method to solve some or all of these.
Mental
Written
(a) 40c ÷ 10 =
(b) 80c ÷ 10 =
(c) $70 ÷ 10 =
(d) $60 ÷ 10 =
(e) 30c ÷ 10 =
(f)
Rate Your Choice ✓ Hot!
Calculator
$50 ÷ 10 =
Cold!
r o e t s Bo r e p ok u S
2. Use approximations to say whether the answers to these problems are possibly correct. Use the box to tick possibly correct answers and cross possibly incorrect ones. +
(b)
+
(e)
–
69 21
+
777
(f) –
33
3.
(c)
526 214
725 214
511
(g) –
312
395 194 201
(d) +
341 256
ew i ev Pr
98
423 354
597
(h)
–
© R. I . C.Publ i cat i ons f or ev i ewproblems pur p oifs es nl y• Check the• answers to r these addition to see they areo correct.
687 257
830
47 31
w ww
(a)
+
(b) +
. te
98
4.
423 354
(c) +
777
725 214 511
m . u
Use the box to tick correct answers and cross incorrect ones. No Were your approximations in Question 2 correct? Yes (d)
+
o c . che e r o t r s su per Check the answers to these subtraction problems to see if they are correct.
341 256 5 97
Use the box to tick correct answers and cross incorrect ones. No Were your approximations in Question 2 correct? Yes (a) –
69 21
(b)
33
• 84 • New Wave Maths for WA Book C
–
526 214 312
(c) –
395 194 201
(d) –
687 257 830
N2.3—Use rounding to approximate whether answers to addition and subtraction problems are possibly correct or incorrect.
47 31
Teac he r
(a)
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Cold!
Teac he (b) r
(a)
m . u
Yes
Yes
No
No
(d)
Yes
Yes
No
No
3. Draw other shapes that will make larger copies of the original when four of them are placed together.
(c)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Can you do the same with these shapes? Show your answers by drawing.
o c . che e r o t r s super
Rate Your Choice ✓ Hot!
+
342 56
532 + 56
(d)
(f)
814 + 72
(c)
465 + 33
735 + 64
(b)
Calculator
. te
(e)
142 + 37
(a)
Written
r o e t s Bo r e p ok u S
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Mental
2. If you place four of these small squares together they make a larger square which is the same shape as the smaller squares.
w ww
1. Choose a method to solve some or all of these.
S2.3, WM2.2—Work out which shapes will make larger copies of the original when four are placed together.
Unit 29–1
New Wave Maths for WA Book C • 85 •
Unit 29–2 1. Choose a method to solve some or all of these. (a) +
417 582
(b)
362 415
+
Rate Your Choice ✓ Hot!
(c) +
243 153
Mental
(d) +
526 241
(e) +
Written
164 724
Calculator
(f) +
612 364
Cold!
r o e t s Bo r e p ok u S
2. Complete the problems below.Work across the page. 300 + 400 =
10 + 50 =
100 + 500 =
(c) 6 + 2 =
60 + 20 =
600 + 200 =
(d) 4 + 2 =
40 + 20 =
400 + 200 =
(e) 5 + 3 =
50 + 30 =
500 + 300 =
(f)
70 + 10 =
700 + 100 =
(b) 1 + 5 =
7+1=
ew i ev Pr
30 + 40 =
Teac he r
(a) 3 + 4 =
© R. I . C.P ubl i cat i ons 10 + 80 = 100 + 800 = •f orr evi ew pur posesonl y•
(g) 1 + 8 =
. te
o c . che e r o t r s super
Total
Total
Total (c)
Total (d) • 86 • New Wave Maths for WA Book C
N2.3—Use knowledge of multiples to solve addition problems.
(b)
w ww
(a)
m . u
3. Find a quick way to get the total in these patterns.
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3.
Teac he If it takes one 2-cm cube to cover the first shape, r
Cold!
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
m . u
4. Make and draw square shapes made with 16 and 25 1-cm cubes in the space on this page.
1 cube
cubes
how many will it take to cover the second and third shapes?
o c . che e r o t r s super
Rate Your Choice ✓ Hot!
342 + 216
364 + 234
(d)
(f)
835 + 143
(c)
723 + 242
437 + 451
(b)
Calculator
. te
(e)
524 + 261
Written
(a)
Mental
2. Draw the next two shapes in this pattern.
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
M2.2, S2.2—Complete pictorial patterns and area activities with 2-D shapes.
cubes
Unit 29–3
New Wave Maths for WA Book C • 87 •
Unit 30–1 1. Choose a method to solve some or all of these. (a) +
324 203
(b)
563 105
+
Rate Your Choice ✓ Hot!
(c) +
285 402
Mental
(d) +
692 107
(e) +
Written
371 504
Calculator
(f) +
497 202
Cold!
r o e t s Bo r e p ok u S
2. Complete the problems below.Work across the page. 400 – 100 =
60 – 30 =
600 – 300 =
(c) 6 – 2 =
60 – 20 =
600 – 200 =
(d) 7 – 5 =
70 – 50 =
700 – 500 =
(e) 8 – 4 =
80 – 40 =
800 – 400 =
(f)
50 – 20 =
500 – 200 =
(b) 6 – 3 =
5–2=
ew i ev Pr
40 – 10 =
Teac he r
(a) 4 – 1 =
© R. I . C.P ubl i cat i ons 80 – 30 = 800 – 300 = •f or r evi ew p ur posesonl y• 4–2= 40 – 20 = 400 – 200 =
(g) 8 – 3 = (h)
2
4
. te
6
8
o c . 16 c12 e her r o t s super
(b)
4
(c)
3
6
9
12
(d)
5
10
15
20
8
• 88 • New Wave Maths for WA Book C
N2.3—Use knowledge of multiples to solve subtraction and addition problems.
w ww
(a)
m . u
3. Count on to fill as many spaces as you can.
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Unit 30–2 1. Choose a method to solve some or all of these. (a) +
420 300
(b) +
Rate Your Choice ✓ Hot!
650 200
(c) +
270 400
Mental
(d) +
180 200
(e) +
Written
360 600
Calculator
(f) +
570 400
Cold!
r o e t s Bo r 115 e p ok u S
2. This graph shows the heights of six children.
Height in centimetres (cm)
(b) Who is the shortest?
(c) Make an ordered list of the children’s heights from shortest to tallest.
ew i ev Pr
Teac he r
(a) Who is the tallest?
110
105
© R. I . C.Publ i cat i ons •f orr evi ewcmpu r posesonl y• 100 cm
w ww
. te
C&D2.4—Interpret information from a given graph.
(d)
cm
95
m . u
cm
Coleen Brett Rochelle Bob
June
Ron
Name
cm
o c . e Which two childrenc are closest in height? her r o t s s u er and p cm
(e) What is the difference in height between Brett and Rochelle? (f)
Which other children have the same difference in height?
(g) What is the difference in height between Coleen and Bob? (h) What is the difference in height between Coleen and Rochelle?
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New Wave Maths for WA Book C • 89 •
Unit 30–3 1. Choose a method to solve some or all of these. (a) +
400 300
(b) +
600 200
(c) +
Rate Your Choice ✓ Hot!
300 100
Mental
(d) +
500 300
(e) +
Written
300 600
Calculator
(f) +
700 200
Cold!
r o e t s Bo r e p ok u S
2. Find the errors in these patterns and redraw or rewrite them correctly.
ew i ev Pr
Teac he r
(a)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
(c)
2
5
8
11
15
17
20
23
(d)
100
95
90
85
75
70
65
60
(e)
5
9
13
16
21
25
30
33
• 90 • New Wave Maths for WA Book C
N2.4—Solve pictorial and written number problems.
w ww
. te
m . u
(b)
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Unit 31–1 Mental
1. Choose a method to solve some or all of these. (a) +
10 5
(b)
Rate Your Choice ✓ Hot!
+
10 3
(c) +
17 2
(d) +
12 5
(e)
Written
43 5
+
Calculator
(f) +
15 3
Cold!
r o e t s Bo r e p ok u S
Could you have followed a different path? Yes
No
Explain.
ew i ev Pr
Teac he r
2. Draw the path you would follow to pass through every square on the grid once.
w ww
S2.1, WM2.3—Draw paths on a grid according to specific instructions.
*
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te o c If you can think of any other paths, draw some on the grids below. . che e r o t r s super
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New Wave Maths for WA Book C • 91 •
Unit 31–2 1. Choose a method to solve some or all of these. 24 4
+
(b)
50 3
+
Rate Your Choice ✓ Hot!
(c)
70 7
+
(d)
18 10
+
(e)
Written
14 10
+
(f) +
29 10
8
9
10
18
19
20
Cold!
r o e t s r 1 2 3 4B 5 6 7 e o p 11 12 13 14 15 o u 16k 17 S
2. Colour the multiples of 3 on this grid.
47 25 8 32 40 31 13
(b) Move the counters to the nearest coloured square.
21
22
23
24
25
26
31
32
33
34
35
36
41
42
43
44
45
46
ew i ev Pr
Teac he r
(a) Place markers/counters on these numbers.
27
28
29
30
37
38
39
40
47
48
49
50
2
11
12
13
14
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
. 44 te45
(a)
Place markers/counters on these numbers.
m . u
w ww
1
© R. I . C.Publ i cat i ons 3. Colour the multiples of 4 • o e6vi e u p seonsthisogrid. nl y• 3 f 4 r 5r 7 w8 p 9 r 10 o
41 27 33 15 9 39 21 47 (b)
Move the counters to the nearest coloured square.
o c . che e r o Colour the multiples of 5 t r s s p 1u 2 e 3r 4 5 6 7 8 on this grid.
9
10
11
12
13
14
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
41
42
43
44
45
46
47
48
49
50
41
4.
Calculator
42
43
46
(a) Place markers/counters on these numbers.
47
48
49
50
7 43 27 16 32 48 21 (b) Move the counters to the nearest coloured square.
• 92 • New Wave Maths for WA Book C
N2.1a, N2.4—Use a number grid to find multiples.
(a)
Mental
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Unit 31–3 1. Choose a method to solve some or all of these. (a) +
36 40
(b) +
Rate Your Choice ✓ Hot!
28 50
(c) +
34 15
Mental
(d) +
23 14
Written
(e)
23 44
+
Calculator
(f) +
54 20
Cold!
r o e t s Bo r e p ok u S
2. Complete the table to show the distance around each shape (perimeter) and the number of squares in each shape.
B
C
Shape A B
ew i ev Pr
Teac he r
A
Distance around
Number of squares
© R. I . C.Publ i ca i ons Ct •f orr e i ew pur pos sonl y• Ev De
D
w ww
. te
M2.2—Measure the area and perimeter of shapes.
3.
m . u
E (a) Which shape(s) covered the most area?
o c . che e r o t r s s r u e p Use 12 1-cm cubes or twelve squares to make other shapes.
(b) Which shape had the longest perimeter?
What is the distance around each of these shapes?
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New Wave Maths for WA Book C • 93 •
Unit 32–1 1. Choose a method to solve some or all of these. (a) –
16 14
(b) –
Rate Your Choice ✓ Hot!
15 11
(c) –
18 16
Mental
(d) –
14 12
Written
(e)
28 14
–
Calculator
(f) –
36 14
Cold!
r o e t s Bo r e p ok u S
2. Count these coins and write the total value.
ew i ev Pr
Teac he r
(a)
(b)
(c)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te
o c . che e r o t r s super
(g)
(h)
• 94 • New Wave Maths for WA Book C
N2.1a—Calculate amounts of money.
(f)
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(e)
m . u
(d)
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–
–
–
–
–
–
62 30
47 20
28 10
79 6
96 4
47 3
Written
Calculator
Which pet(s) were the most popular?
Cold!
o c . che e r o t r s super 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
Bird
(d) Which two arms are closest in length?
(c) How much longer is the longest arm than the shortest arm?
(b) Who has the shortest arm?
m . u
(a) Who has the longest arm?
Dog Cat
Teac he r
3. Form a group of four. Use Base 10 MAB longs to measure the length of your arm. Record your findings in the graph below by colouring boxes to show the length of each arm in your group.
0
1
2
3
4
5
6
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Rate Your Choice ✓ Hot!
(f)
(e)
(d)
(c)
(b)
(a)
Mental
2. Form a group of six. Record the pets you like.You may choose more than one.
Mouse
Name
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
. te Arm length in Base 10 MAB longs
w ww
C&D2.3, C&D2.4—Collect, record and analyse data.
Fish
Unit 32–2
New Wave Maths for WA Book C • 95 •
Unit 32–3 1. Choose a method to solve some or all of these. (a) –
84 60
(b) –
Rate Your Choice ✓ Hot!
76 40
(c) –
42 12
Mental
(d) –
25 15
Written
(e)
98 18
–
Calculator
(f) –
63 20
Cold!
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Exchange these coins for one coin.
(a)
(b)
. te
o c . che e r o t r s super
(f)
(g)
• 96 • New Wave Maths for WA Book C
N2.1a—Calculate amounts of money and exchange for a single coin.
(e)
w ww
(d)
m . u
(c)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
R.I.C. Publications www.ricgroup.com.au
Written
= 20
Calculator
R.I.C. Publications www.ricgroup.com.au
x 9 = 45
x 6 = 18
(e)
(f)
Rate Your Choice ✓ Hot!
Cold!
(c) Rectangle
m . u (d) Pentagon
(b) Trapezium
(a) Triangle
o c . che e r o t r s super
= 14
Triangle
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Trapezium Rectangle
Teac he r
Pentagon
2. Use the coloured shapes shown here to fit in the shape outlines in the box below. Tell what you need to do to the coloured shapes to fit them in their outlines.
. te
(d) 2 x
(c) 4 x
(b) 5 x 6 =
(a) 3 x 3 =
Mental
1. Choose a method to solve some or all of these.
r o e t s Bo r e p ok u S
ew i ev Pr
w ww
S2.3—Explain how to manoeuvre 2-D shapes to fit given outlines.
Unit 33–1
Maths for WA Book C • 97 •
Unit 33–2 1. Choose a method to solve some or all of these. (a)
Mental
Written
x 4 = 32
(b) 18 = 2 x
(c) 36 = 6 x
x7
(e) 15 = 5 x
(f)
(d) 35 = Rate Your Choice ✓ Hot!
Calculator
x 8 = 40
Cold!
r o e t s Bo r e p ok u S
2. Exchange these coins as directed.
(b)
© R. I . C.Publ i cat i ons for 50c coins. How many coins? •f orr evi ew pur posesonl y• for 20c coins. How many coins?
w ww
3. Exchange these notes as directed.
. te
(a)
o c . che for $1 coins. How manyr e coins? o r st super
(b)
for $5 notes. How many notes?
(c)
for $2 coins. How many coins?
• 98 • New Wave Maths for WA Book C
N2.1a—Exchange amounts of money.
(d)
for 10c coins. How many coins?
m . u
(c)
for 5c coins. How many coins?
ew i ev Pr
Teac he r
(a)
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Unit 33–3 Mental
1. Choose a method to solve some or all of these. (a)
=8x4
(b)
(d) 7 x 0 =
=6x3
(e) 3 x 7 =
Rate Your Choice ✓ Hot!
Written
Calculator
(c) 0 x 5 = (f)
=2x9
Cold!
r o e t s Bo r e p ok u S Number of 2-cm cubes
(a) Which item was the heaviest?
Item
Estimate
tennis ball
(b) Which item was the lightest?
golf ball
ew i ev Pr
Teac he r
2. Balance a tennis ball, a golf ball, a softball, a cricket ball, a T-ball and a beanbag in turn, using 2-cm cubes. Fill in the table with your results.
Actual
softball © R. I . C.Pub l i cat i ons ball •f orr evi ew pucricket r po sesonl y•
(c) How well did you estimate? Why?
M2.2—Estimate then measure given items with arbitrary units and a balance beam.
w ww
. t Item e
tennis ball
beanbag
m . u
T-ball
3. Repeat the activity using washers.
o c . che e r o t r s super Number of washers
Estimate
Actual
(a) How well did you estimate? Why?
golf ball softball cricket ball T-ball
(b) Was there any change in the order of heaviness?
beanbag
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Maths for WA Book C • 99 •
Unit 34–1 1. Choose a method to solve some or all of these. (a) 9 ÷ 3 =
Mental
(b) 32 ÷ 4 =
(d) 10 ÷
=2
(e)
Rate Your Choice ✓ Hot!
Written
Calculator
(c) 36 ÷ ÷5=6
(f)
=9 ÷8=7
Cold!
r o e t s Bo r e p ok u S
2. Work out the answers to these problems.
(b) There are six cows. Each has four legs. How many legs are there altogether? (c) How many times can you take 4 away from 16? (d) How many times can you take 5 away from 20?
Divide 21 into sets of 3. How many sets did you make?
w ww
(g) Divide 50 into sets of 10. How many sets did you make?
. te
o c . che e r o t r s equally among them. sushare (i) Four people 20r marbles e p How many will each get? (h) Divide 35 into sets of 5. How many sets did you make?
(j) Three children share 30c equally among them. How much money will each receive? (k) Twenty-eight makes four sets of what number? (l) If fifteen apples are divided among five people, how many will each person get? • 100 • New Wave Maths for WA Book C
N2.3—Use knowledge of multiples to work out number problems.
(f)
© R. I . C.Publ i cat i ons How many times can you take 4 away • fromf 24? orr evi ew pur posesonl y•
m . u
(e)
ew i ev Pr
Teac he r
(a) There are seven children. Each child needs three pencils. How many pencils are needed?
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Unit 34–2 1. Choose a method to solve some or all of these. (a)
÷3=6
(d) 8 =
Mental
(b) 9 = 27 ÷
÷3
Calculator
(c) 6 = 18 ÷
(e) 4 =
Rate Your Choice ✓ Hot!
Written
÷4
(f)
÷4=7
Cold!
r o e t s Bo r e p ok u S
2. Arrange the students in your class from tallest to shortest. List them. 1
31
12
22
32
3
13
23
4
14
24
5
15
25
Teac he r
21
2
7
(a) (b)
w ww
10
34
35
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
8
9
33
. te
16
26
36
17
27
37
18
28
38
19
29
20
30
m . u
6
ew i ev Pr
11
39
40
o c . che e Who is the tenth tallest? r o t r s super Who is the sixth shortest?
(c) Who is the fourteenth shortest?
C&D2.2—Order and analyse data.
(d) Who is the third tallest? (e) Who is the twentieth tallest? (f)
Who is the sixteenth tallest?
(g) Who is the ninth shortest?
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New Wave Maths for WA Book C • 101 •
Unit 34–3 1. Choose a method to solve some or all of these. (a)
= 15 ÷ 5
(d)
(b)
Mental
= 24 ÷ 3
4
Rate Your Choice ✓ Hot!
Calculator
(c)
(e) 2
Written
= 35 ÷ 5
(f) 2
16
3
21
r o e t s Bo r e p ok $20 u S Cold!
2. How much will it cost if you buy the following items?
ew i ev Pr
Teac he r
(a) 8 audio cassettes (b) 3 skateboards
$40
(c) 7 fishing rods
(d) 6 body boards (e) 2 dolls (f) (g)
$60
© R. I . C.Publ i cat i ons 9 table tennis • f osets rr evi ew pur posesonl y• 50 $ 1 doll’s house
(h) 5 basketballs
o c 20 . $ c e her r (m) 8 body boards o t s s r u e p (n) 4 table tennis sets (l)
(o) 7 dolls
$30 • 102 • New Wave Maths for WA Book C
$90
N2.3, N2.1a—Use knowledge of multiples to calculate prices.
. t 2 fishing rodse
(k) 9 audio cassettes
0
6 basketballs
$8
w ww
(j)
4 doll’s houses
m . u
(i)
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+
$7 $3 $8
$2 $5 $2
(f)
(d)
(b)
+
+
+
Calculator
1c 1c 7c
3.
Cold!
$9 $2 $6
$1 $3 $4
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(a)
double the width
mdouble the length . u
(c)
(b)
double the height
(You may need to scale your drawing to fit.)
(f)
(e)
(d)
Teac he Make and draw the following changes to this model. r
o c . che e r o t r s super
Rate Your Choice ✓ Hot!
(e)
+
+
3c 2c 3c
Written
. te
(c)
(a)
Mental
2. Make a copy of this photo using 2-cm cubes.
triple the length
triple the width
triple the height
r o e t s Bo r e p ok u S
ew i ev Pr
1. Choose a method to solve some or all of these.
w ww
S2.3, S2.2—Make and draw constructions of models from written instructions.
Unit 35–1
New Wave Maths for WA Book C • 103 •
Unit 35–2 1. Choose a method to solve some or all of these. (a) +
$6 $2 $5
(b) +
Rate Your Choice ✓ Hot!
5c 5c 7c
(c) +
8c 2c 8c
Mental
(d) +
2 5c 6 2c
(e) +
Written
4 4c 3 5c
Calculator
(f) +
$3 6 $4 3
r o e t s Bo r e p ok u S Cold!
2. Use the pictures to answer these.
Teac he r
(b) Divide this pizza so that three children each receive an equal share.
ew i ev Pr
(a) Divide this cake into four parts so four children each receive an equal share.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
3. If the whole square is one, name each part.
1
one • 104 • New Wave Maths for WA Book C
N2.1b—Recognise fractional amounts using diagrams.
w ww
. te
(d) Divide this biscuit so that two children each receive an equal share.
m . u
(c) Divide this chocolate bar so that five children each receive an equal share.
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Unit 35–3
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
1. Use words or pictures to explain how your group decided the best way to count the money.
WM2.2, WM2.3—Work mathematically to explain and compare the best approach to solve a problem.
w ww
2. Share your ideas with the class.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
3. Decide which you think is the best way to count the money. Explain why.
. te
o c . che e r o t r s super
4. How would being blindfolded change the way you count the money?
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New Wave Maths for WA Book C • 105 •
Unit 36–1 1. Choose a method to solve some or all of these. (a) –
$4 6 $4 2
(b) –
Rate Your Choice ✓ Hot!
$7 5 $7 4
(c) –
5 7c 5c
Mental
(d) –
8 9c 6c
Written
(e)
4 2c 2 0c
–
Calculator
(f) –
$6 9 $6 2
Cold!
r o e t s Bo r e p ok u S
2. Use coins to find the answers to these questions.
(b) What is half of 50c? (c) What is half of $2?
(d) How much money will you have if you double 20c? (e) How much money will you have if you double 30c? How much money will you have if you double $1?
How much do you have?
o c . che e r o t r s super
4. From your coins, take out half this amount.
How much do you have?
5. From your coins, take out double this amount.
How much do you have? • 106 • New Wave Maths for WA Book C
N2.1a, N2.1b—Double and halve amounts of money.
w ww
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m . u
© R. I . C.Publ i cat i ons From your• coins, take out double f o rr e vi ethis wamount. pur posesonl y• (f)
3.
ew i ev Pr
Teac he r
(a) What is half of $1?
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Unit 36–2 1. Choose a method to solve some or all of these. (a)
$8 5 $4 0
–
(b)
8 4c 5 4c
–
Rate Your Choice ✓ Hot!
(c)
$7 2 $3 2
–
Mental
(d) –
$7 8 $2 7
Written
(e)
5 9c 3 4c
–
Calculator
(f)
9 6c 2 3c
–
Cold!
r o e t s Bo r e p ok u S
boys
girls
other
bare feet
gym shoes
sandals
shoes
ew i ev Pr
Teac he r
2. Complete this Carroll diagram to show the type of footwear worn by students in your class. Record preferences by initials only.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
C&D2.2, C&D2.4—Record and analyse data in Carroll diagrams.
boys
left-handed
. te
girls
m . u
3. Complete this Carroll diagram using the students in your class. right-handed
o c . che e r o t r s super
(a) Are there more left-handed girls than left-handed boys?
Yes
No
(b) How many left-handed students are there in your class? (c) How many right-handed students are there in your class? (d) What is the difference in the number of right-handed girls and boys?
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New Wave Maths for WA Book C • 107 •
Unit 36–3 1. Choose a method to solve some or all of these. (a) –
$4 0 $1 0
(b) –
Rate Your Choice ✓ Hot!
8 0c 3 0c
(c) –
$4 9 $2 4
Mental
(d) –
1 8c 7c
(e)
Written
6 9c 2 5c
–
Calculator
(f) –
$8 6 $6 3
Cold!
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Without counting, show how you can say there are more dots than crosses.
w ww
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m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
N2.4, WM2.2—Solve a mathematical problem logically.
o c . che e r o t r Explain how you reached your answer. s super
• 108 • New Wave Maths for WA Book C
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Unit 37–1 Mental
1. Choose a method to solve some or all of these. (a)
6c 3
x
(b)
7c 2
x
Rate Your Choice ✓ Hot!
(c)
$8 4
x
(d)
$5 5
x
Written
(e)
4c 9
x
Calculator
(f)
$9 3
x
Cold!
r o e t s Bo r e p ok u S
1
2
3
4
ew i ev Pr
Teac he r
2. On the map of Daytown, show the path you would take to go from: the swimming pool to the post office, to the primary school, to the kindergarten and finish at the tennis courts. Share your path with a group of friends. 5
6
Leaky Lake
a
N
© R. I . C.Publ i cat i ons er ive • f o r r e v i e w p u r p o s sonl y• R Bruce Road on Cathy Street
ym
Da
Bowling Club
Ken Street
o c . che e r o t r s super Anne Avenue
Showgrounds
Ambulance
d
Rhiannon Street
Map of Daytown
Jenny Street
Daniel Street
Ruby Drive
Children's Playground
E
Hospital
Ben Drive
Rebecca Road
E
c
Gary Street
Country Women's Association
Kindergarten
Edward Road
S2.1—Follow paths on a given map.
Swimming Pool
Shire Council
Fiona Avenue
w ww Primary School
Tina Terrace
Post Office
Tennis Courts
e
Police Station
Railway Station
Basketball Courts
High School
tr yS
ll
. te
d
b
eet
Ho
David Road c
a
Golf Course
m . u
Chris Drive
Debra Road
b
7
e
f
f Karen Avenue 1
2
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3
4
5
6
7
New Wave Maths for WA Book C • 109 •
Unit 37–2 1. Choose a method to solve some or all of these.
Mental
Written
(a) $90 ÷ 10 =
(b) $70 ÷ 10 =
(c) 45c ÷ 5 =
(d) $9 ÷ 3 =
(e) 50c ÷ 10 =
(f) $24 ÷ 3 =
Rate Your Choice ✓ Hot!
Calculator
Cold!
r o e t s Bo r e p ok u S Separate this strip into five equal parts.
ew i ev Pr
3.
Teac he r
2. Separate this strip into three equal parts.
4. Shade one part out of three in these diagrams.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
7. What is half of these numbers? (a)
4
(c) 10
(e)
(b) 16
(d) 20
(f) 22
• 110 • New Wave Maths for WA Book C
6
(g)
8
(h) 30
N2.1b—Recognise fractional amounts using diagrams.
. te
6. Draw lines that will cut this pizza into fifths.
m . u
w ww
5. Draw lines that will cut this cake into fourths.
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+
+
+
12 21 14
23 11 22
54 35
72 26
24 32
Calculator
instead of 2-cm cubes?
Cold!
o c . che e r o t r s super 2-cm cubes
1-cm cubes
Yes
1-cm cubes
Try it. Were you right?
m . u
Why?/Why not?
Teac he r
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Rate Your Choice ✓ Hot!
(f)
(e)
(d)
+
+
+
46 52
Written
No
1-cm cubes
2. What do you think would happen if you used 1-cm cubes to cover the shapes on this page
. te
(c)
(b)
(a)
Mental
1. Choose a method to solve some or all of these.
2-cm cubes
2-cm cubes
r o e t s Bo r e p ok u S
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w ww
M2.2, WM2.3—Compare area of shapes using different units.
Unit 37–3
New Wave Maths for WA Book C • 111 •
Unit 38–1 1. Choose a method to solve some or all of these. (a) +
43 22 22
(b) +
Rate Your Choice ✓ Hot!
14 51 23
(c) +
15 20 32
Mental
(d) +
47 21 30
(e)
Written
35 2 51
+
Calculator
(f) +
42 15 20
r o e t s Bo r e p ok u S Cold!
2. Find the answers to these number sentences. 81 – 10 =
(q) 22 – 10 =
(j)
49 – 10 =
(r) 99 – 10 =
(c) 58 – 10 =
(k) 32 – 10 =
(s) 17 – 10 =
(d) 75 – 10 =
(l)
28 – 10 =
(t) 44 – 10 =
(e) 87 – 10 =
(m) 93 – 10 =
(u) 69 – 10 =
(b) 76 – 10 =
(f)
(g)
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(i)
Teac he r
(a) 65 – 10 =
(n) 12 – 10 = (v) 36 – 10 = © R. I . C.Publ i cat i o ns 95 – 10 = (o) 52 – 10 = (w) 46 – 10 = •f orr evi ew pur posesonl y• 53 – 10 =
(h) 37 – 10 =
(p) 78 – 10 =
. te
(b) 63 – 10 = (c) 34 – 10 =
(i)
24 – 10 =
(q) 83 – 10 =
(j)
16 – 10 =
(r) 64 – 10 =
o c . (l) 96 – 10 = (t) 74 – 10 = che e r o(u) 33 – 10 = r st s (m) 11u – 10p =e r (k) 85 – 10 =
(s) 56 – 10 =
54 – 10 =
(n) 92 – 10 =
(v) 42 – 10 =
(g) 71 – 10 =
(o) 29 – 10 =
(w) 86 – 10 =
(h) 68 – 10 =
(p) 51 – 10 =
(d) 21 – 10 = (e) 47 – 10 = (f)
4. What happens to the value of the numbers in the tens column when ten is subtracted from the original number?
• 112 • New Wave Maths for WA Book C
N2.3—Solve subtraction number sentences that use a constant subtrahend of 10.
w ww
(a) 13 – 10 =
m . u
3. Find the answers to these number sentences.
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Unit 38–2 1. Choose a method to solve some or all of these. (a)
4 63 12
+
(b) +
Rate Your Choice ✓ Hot!
40 25 4
(c) +
3 30 54
Mental
(d) +
132 41
(e) +
Written
341 25
r o e t s Bo r e p ok u S
Calculator
(f) +
472 27
Cold!
1
3
2
8
9
4
10
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Teac he r
2. Show where the shapes below fit into this diagram. Use the numbers in the shape to show where they go.
5
11
6
7
only straight edges
© R. I . C .Publ i cat i ons 1, symmetrical straight and• curved edges •f orr evi ew pur poseso nl y straight edges
1,
1,
w ww C&D2.3, S2.4—Sort 2-D shapes into sets and subsets of attributes.
. te
m . u
curved edges
1,
only curved edges
o only straight edges c . che e r o r st su r straight edges pe
non-symmetrical
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straight and curved edges curved edges only curved edges
New Wave Maths for WA Book C • 113 •
Unit 38–3 1. Choose a method to solve some or all of these. (a) +
624 53
(b) +
Rate Your Choice ✓ Hot!
325 42
(c) +
326 431
Mental
(d) +
542 354
(e)
Written
615 373
+
Calculator
(f) +
415 282
Cold!
r o e t s Bo r e p ok u S
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Teac he r
2. Look at the pattern of blocks below.
(a) How many blocks altogether will you need to make the next step? (b) How many blocks altogether will you need to make the fifth step?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Use the grid to design a pattern so the first and second items are the same and the third (c) How many blocks altogether are needed to make all the steps up to and including the fourth step?
3.
o c . che e r o t r s super
4. Describe your pattern.
• 114 • New Wave Maths for WA Book C
N2.4, WM2.2—Solve and describe pictorial number patterns.
w ww
. te
m . u
and fifth are the same.
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Unit 39–1 1. Choose a method to solve some or all of these. (a) –
79 19
(b) –
Rate Your Choice ✓ Hot!
28 14
(c) –
44 12
Mental
(d) –
98 36
(e)
Written
65 23
–
Calculator
(f) –
86 32
Cold!
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Draw a map of your school showing where the buildings, play areas and other features are located. Try to keep items and areas as close to their correct place as possible.
w ww
o c . che e r o t r s super
S2.1, WM2.2—Draw a plan for a specific purpose.
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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New Wave Maths for WA Book C • 115 •
Unit 39–2 1. Choose a method to solve some or all of these. (a) –
87 56
(b)
76 34
–
Rate Your Choice ✓ Hot!
(c) –
20 10
Mental
(d) –
50 40
Written
(e)
70 30
–
Calculator
(f) –
90 50
Cold!
r o e t s Bo r e p ok u S
2. Look at these fractions.
as one half?
ew i ev Pr
Teac he r
(a) How many fourths are the same
(b) How many fourths are not shaded?
3. Fold a square of paper in half and then in half again. Open out and colour one half and one fourth. Talk about what you find.
w ww
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(a)
. te
2/
3
(c)
o c . che e r o t r s s r u e p 4/ 1 /2
6
4/
8
(d)
(b)
1/
2
• 116 • New Wave Maths for WA Book C
3/
6
1/
4
2/
8
N2.1b—Recognise fractional amounts using diagrams.
4. Colour these fractions to show the same fraction amounts (equivalent fractions).
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Unit 39–3 1. Choose a method to solve some or all of these. (a) –
90 40
(b) –
800 400
Rate Your Choice ✓ Hot!
(c) –
600 200
Mental
(d) –
450 250
(e) –
Written
630 310
Calculator
(f) –
520 320
Cold!
r o e t s Bo r e p ok u S
2. Select your own units of measure to measure the following things.
(k) The volume of milk in a milk carton.
(b) The length of your step.
(l)
(c) The width of your classroom.
(m) Your mass.
ew i ev Pr
Teac he r
(a) Your height.
The capacity of a large carry box.
© R. I . C.Publ i c at i oofn (n) The mass as loaf of bread. •f orr evi ew pur posesonl y•
(e) The surface of this page.
The surface of your desk.
(p) The mass of an egg.
(h)
. tyour classroom. o The floor of e (q) The time you sleep. c . che e r o t r s super The palm of your hand. (r) The time to get from home to school.
(i)
The capacity of a cup.
(s) The time until your birthday.
(j)
The capacity of an eggcup.
(t) The time until you turn twelve.
(g) M2.1—Select appropriate units of measure to measure a variety of items.
w ww
(f)
(o) The mass of a motor car.
m . u
(d) The distance from home to school.
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New Wave Maths for WA Book C • 117 •
Unit 40–1 1. Choose a method to solve some or all of these. (a) x
2 4
(b) x
9 3
Rate Your Choice ✓ Hot!
(c)
6 3
x
Mental
(d) x
3 4
(e)
Written
4 6
x
Calculator
(f) x
5 4
Cold!
r o e t s Bo r e p ok u S
2. Find the answers to these problems.
(b) One hundred lots of six.
100 x 6 =
(c) Thirty lots of three.
30 x 3 =
(d) Nine lots of four.
9x4=
(e) Four hundred lots of four.
400 x 4 =
(f)
5x6=
Teac he r
7x3=
Five lots of six.
ew i ev Pr
(a) Seven lots of three.
© R. I . C.Publ i cat i ons •f orr evi ew pur p osesonl y• How many sets of 7 make 21? x 7 = 21 27 =
x9
(c) How many sets of 5 make 45?
45 =
x5
w ww
(b) How many sets of 9 make 27?
(d) How many sets of 3 make 18?
x 3 = 18
x 10 = 40 . te o c (f) How many sets of 4 make 36? x 4 = 36 . che e r o Find the answers to these problems. t r s super (e) How many sets of 10 make 40?
4.
(a) Four shares, how many for each person from 24?
4x
(b) Share 600 into 2 equal parts.
600 = 2 x
(c) Ten shares, how many for each person from 70?
10 x
(d) Three shares, how many for each person from 24?
3x
(e) Sixty divided among 6 people, how many each?
60 = 6 x
(f)
5x
Five shares, how many for each person from 35?
• 118 • New Wave Maths for WA Book C
= 24
= 70 = 24
= 35
N2.3—Use a calculator to solve number sentences involving multiplication.
(a)
m . u
3. Find the answers to these problems.
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x
9 4
(f)
(d)
x
Cold!
4 5
x
x
6 4
4 0
(b) Which pet is least popular?
m . u
o c . che e r o t r s super
(a) Which is the most popular pet?
Rate Your Choice ✓ Hot!
(e)
x
0 2
(b)
Calculator
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• dogs and birds
dogs, cats and birds
Teac catsh e and dogs r
dogs only
cats and birds
cats only
2. Use a Venn diagram to record the results of a survey of your class on who likes dogs, cats or birds as pets. Record preferences by initials only.
. te
(c)
8 5
(a)
x
Written
Mental
1. Choose a method to solve some or all of these.
r o e t s Bo r e p ok u S birds only
ew i ev Pr
w ww
C&D2.3, C&D2.4—Collect, record and analyse data on a Venn diagram.
Unit 40–2
New Wave Maths for WA Book C • 119 •
Unit 40–3 1. Choose a method to solve some or all of these. (a)
(b) 3
6
(c) 4
12
(d) 4
Rate Your Choice ✓ Hot!
Mental
24
Written
(e) 5
15
Calculator
(f) 5
35
3
18
Cold!
a n
b o
2. What letter is:
c p
d q
e r
f s
g t
h u
i v
j k w x
l y
r o e t s Bo r e p ok u S
m z
(b) ninth in the alphabet?
(f)
(c) twelfth in the alphabet?
(g) eighteenth in the alphabet?
(d) nineteenth in the alphabet?
(h) eighth in the alphabet?
Teac he r
(e) twenty-fifth in the alphabet?
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(a) fifth in the alphabet?
sixteenth in the alphabet?
3. If the fifth day of June is a Monday, on what day of the week will the following days fall?
© R. I . C.Pub l i cat i ons (e) 12th orr evi ew pur osesonl y• 10th •f (f)p 22nd (g) 28th
(d) 19th
(h) 30th
w ww
(c) 18th
4. Colour the multiples of 5 on this grid.
. te
1
2
3
4
5
6
7
11
12
13
14
15
16
17
8
9
o 19 c . ch e28 29 r 21 e 22 23 24 25 26o 27 r st super 31 32 33 34 35 36 37 38 39 41
42
43
44
45
46
Place markers/counters on the answers to these problems. 7+5 27 + 10 40 + 2
20 + 9 30 + 3 24 + 10
46 – 10 9+7 3+5
Move the counters to the nearest coloured square. • 120 • New Wave Maths for WA Book C
47
18
48
49
10
20 30 40 50
N2.1a, N2.4—Identify ordinal numbers; solve calendar activities; identify multiples of five.
(b)
m . u
(a) 25th
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Essential Facts—General and Number • product
Symbols addition subtraction multiplication division equal to cent dollar
• subtrahend any number to be subtracted: 7 – 2 = 5 (2 is the subtrahend).
Mathematical Terms • addend
the result when two or more numbers are added.
the result when two or more numbers are added.
moving in the opposite direction from the hands on a clock.
A fraction is a number which is part of a whole number. It has a denominator, which is the number below the numerator line. This shows 3 vinculum how many parts 4 the whole number denominator is divided into. It has a numerator, which is the number above the line. This shows how many parts are a focus.
Numbers
• even numbers
An even number is a number which can be divided by two; e.g. 2, 4, 6, 8, 10 etc.
• clockwise
© R. I . C.Publ i cat i o•n s odd numbers An odd number is a number which •f orr evi ew pur poseso nl y• can not be divided by two equally; e.g.
by how much a number is bigger or smaller than another. • digit
w ww
any whole number from 0 to 9 (inclusive). • numeral
Fractions
ew i ev Pr
Teac he r
• total
• anticlockwise
• difference
An answer that is close to the exact answer and is found by rounding or by using your judgment to make your best guess.
r o e t s Bo r e p ok u S • sum
any number which is to be added: 2 + 5 = 7 (2 and 5 are addends).
moving in the same direction as the hands on a clock.
Estimating
. te
a symbol used to represent a number. • order
to write a set of numbers from smallest to largest or largest to smallest.
indicates the position of a numeral (e.g. the place value of the 3 in the number 357 is hundreds).
T
U
3
5
7
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• prime numbers A prime number is a number that can be divided evenly by only 1 and itself; e.g. 2, 3, 5, 7,11, 13 and 17. One is not a prime number. It is a special number because it doesn’t fit into any particular category.
o c . che e r o t r s super
• place value
H
3, 5, 7, 9, 11 etc.
m . u
+ – x ÷ = c $
the result when two or more numbers are multiplied (e.g. the product of 2, 3 and 4 is 2 x 3 x 4 = 24).
• composite numbers A composite number is a number that can be divided by more than itself and 1; e.g. 4, 6, 8, 9, 10, 12 and 14.
• multiples A multiple of a number is that number multiplied by other whole numbers; e.g. The multiples of 5 are 5, 10, 15, 20, 25 etc.
New Wave Maths for WA Book C • 121 •
Essential Facts—Measurement Abbreviations
Equivalent Measures
• Length millimetre centimetre metre kilometre
10 mm = 1 cm 100 cm = 1 m 1000 m = 1 km • Mass
• Capacity mL L kL
millilitre litre kilolitre
• Volume
gram kilogram tonne
1000 mm3 = 1 cm3 1 000 000 cm3 = 1 m3
• Capacity 1000 mL = 1 L 1000 L = 1 kL
• Temperature °C °F °K
• Time
60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 7 days = 1 week 52 weeks = 1 year 28–31 days = 1 month 365 days = 1 year 366 days = 1 leap year 10 years = 1 decade 100 years = 1 century 1000 years = 1 millennium
© R. I . C.Publ i cat i ons second •f orr evi ew pur posesonl y• minute hour day month year century millennium
w ww
sec. min. hr or h. d m. yr or y. C M
• Time
degrees Celsius degrees Fahrenheit degrees Kelvin
ew i ev Pr
Teac he r
• Mass g kg t
r o e t s Bo r e p ok u S 1000 g = 1 kg 1000 kg = 1 t
. te
m . u
mm cm m km
• Length
o c . che e r o t r s super
• 122 • New Wave Maths for WA Book C
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Essential Facts—Space 2-D Shapes
Symmetry
2-D shapes have two dimensions— width and length. They may have curved or straight sides. Shapes with straight sides are called polygons. Polygons have three or more sides and angles. circle triangle
r o e t s Bo r e p ok u S
rectangle
Tessellation A repeating pattern of congruent plane figures that completely cover a plane with no gaps or overlapping.
pentagon hexagon
3-D Shapes
ew i ev Pr
Teac he r
square
Symmetry is when a shape is the same on either side of a line dividing it into two equal parts.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• sphere
w ww
cylinder
. te
cube
m . u
Three-dimensional shapes are also called solid figures. A 3-D shape has length, width and height.
o c . che e r o t r s super
square prism
square pyramid
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New Wave Maths for WA Book C • 123 •
Essential Facts—Chance and Data • Pie graph
Chance The likelihood of an event occurring; e.g. we have a 1 in 6 chance of throwing a 6 on a die. This would be written as 1:6.
B
C
10%
A
20% 10%
F
10%
D
20%
30%
E
r o e t s Bo r e p ok u S Diagrams
Graphs
Some information is best shown in a diagram. There are many different types of diagrams.
• Carroll diagram
• Bar graph
A graph which represents information regarding frequency of outcomes using bar lengths.
40 30 20 10
not square
blue
not blue
© R. . C .Publ i cat i ons •I Venn diagram •f orr evi ew pur posesonl y• Counting Numbers 1–20
0
B
A
C
D
Even
2, 6, 8,
4
1
10, 12, 14,
16
9
D C
w ww
B A
10
20
50
18, 20
17,
7, 13, 15
Tables
50
40
o c . che e r o t r s super These are used to organise data for a particular purpose.
Boys Girls Total
30 20 10
11 3, 5
19
. te 40
30
• Line graph
Square
m . u
50
square
ew i ev Pr
Teac he r
Information can be recorded in pictures. This can be done in many different ways.
Number of children in each team Blue Red Green Gold 46 43 49 32 40 50 35 49 86 93 84 81
0 A
B C D
F G H
I
Tally This is when a stroke is used to record items. Tallies generally use a diagonal stroke on the fifth item.
• Pictograph 4000 3000
= 13
2000 1000 A
B
C
D
• 124 • New Wave Maths for WA Book C
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r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
Working Out
w ww
. te
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m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
New Wave Maths for WA Book C • 125 •
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
Working Out
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
• 126 • New Wave Maths for WA Book C
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r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
Working Out
w ww
. te
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m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s super
New Wave Maths for WA Book C • 127 •
How Did I Go? Think about how you have gone each term. For each term, write areas or things you did well in your workbook and other areas or things you can do better.
Term 1 What I did well …
What I can do better …
r o e t s Bo r e p ok u S What I can do better …
ew i ev Pr
Teac he r
What I did well …
Term 2
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Term 3 What I did well …
w ww
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What I can do better …
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What I did well …
Term 4
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• 128 • New Wave Maths for WA Book C
What I can do better …
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