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Published by R.I.C. Publications www.ricgroup.com.au
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New Wave Maths for WA – B
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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 678 8 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 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 pictures, diagrams and photos.
My Goals for the Year This year in maths, I hope to learn …
Why? To help you understand that maths is real and around you every day, everywhere.
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Enjoy yourself!
Student Information
iii
Term One Overview
iv
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
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© R. I . C.Pub i at i o s Yes No Didl Ic achieve myn goal? •Contents f orr evi ew puThis r pyear os esonl y• in maths, I hope to improve …
The Year in Review
Did I achieve my goal? R.I.C. Publications www.ricgroup.com.au
Yes
No
New Wave Maths for WA Book B • i •
Student Information Here is a brief outline of how each page in the workbook is set out and how to complete the different parts.
Number
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Read the instruction or listen carefully to your teacher to complete this activity.
Main Activity
Read the instruction or listen carefully to your teacher. This activity can be completed using any concrete materials or mathematics resources you like. Pictures, photographs and diagrams have been used 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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20 Number Line
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This tells you what is expected of you when completing the activity.
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This number line might be useful when adding, subtracting or counting. Use it whenever you like!
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11 12 13 14 15 16 17 18 19 20 • ii • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
Term One Week Unit
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3
1
2
3
Page
S2.1—Follow guidelines to draw and colour scribble patterns.
1
N2.1a—Identify the ordinal number of objects.
2
M2.1, M2.2, M2.3—Compare the area of his/her hand and foot and classmates’ hands and feet.
3
N2.1a, N2.4—Identify ordinal numbers. Identify and describe number patterns.
4
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C&D2.4—Analyse and represent data in a pictograph.
5
S2.3, WM2.2—Create patterns using given numbers of shapes.
6
S2.1—Draw a plan for a specific purpose.
7
N2.1a, N2.2, N2.4—Skip count. Identify and describe number patterns.
8
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Outcomes
M2.2—Compare the length of sets of cubes.
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N2.4—Identify, create and describe number patterns. C&D2.1—Distinguish possible and impossible events.
5
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S2.2, S2.4—Identify spatial features of 3-D shapes.
13
© R. I . C.Publ i cat i ons N2.4—Distinguish between odd and even numbers. •f orr evi ew pur posesonl y• C&D2.2, C&D2.3—Collect, tally and analyse data.
14
N2.3—Count and combine collections of objects and numerals.
18
7
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N2.1b—Mark and share diagrams in equal parts.
20
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M2.2, C&D2.4—Use informal units to measure capacity. Record and analyse data.
8
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S2.2, WM2.2—Construct copies of 3-D shapes and count the number of sets of cubes needed to make each structure.
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M2.2—Use informal units to measure area.
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10
N2.2, N2.4—Group sets using diagrams. Use the constant function on a calculator to skip count.
S2.3, WM2.2—Identify and continue patterns using shapes.
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N2.1a, N2.2—Count, combine and compare collections.
21 22
C&D2.2, C&D2.3, C&D2.4—Record data in a Carroll diagram.
23
N2.1a—Count and make amounts of money in different ways.
24
M2.1, M2.3—Sort objects by size, considering length and mass.
25
N2.3—Add two-, three- and four-digit number combinations to a total of 20.
26
M2.2—Measure, order and compare the mass of equal amounts of different materials.
27
WM2.2,WM2.3, S2.4—Distinguish and describe shapes and patterns on objects in the environment.
28
M2.2—Use informal units to measure the length of objects.
29
N2.1a, N2.2—Combine and separate collections.
30
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New Wave Maths for WA Book B • iii •
Term Two Week Unit
2
3
11
12
13
Page
S2.2, S2.4—Construct 3-D shapes and discuss spatial features.
31
N2.2, N2.3—Combine and separate collections of objects and numerals.
32
M2.3, M2.2, WM2.3—Estimate and measure mass. Order activities by days of the week.
33
N2.2, N2.3—Count collections according to attributes.
34
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C&D2.2, C&D2.3, C&D2.4—Collect, tally and analyse data.
35
N2.2, N2.3—Use count on strategies to solve addition problems.
36
S2.4, M2.2—Sort objects according to spatial criteria. Order objects according to length.
37
N2.2—Group collections of objects.
38
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Outcomes
M2.2—Order objects by mass using hefting and a seesaw balance. Order objects by length.
N2.2—Separate collections of objects. C&D2.3, C&D2.4—Analyse and represent data on a pictograph.
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S2.2—Copy 2-D shapes onto dotted grid paper.
43
© R. I . C.Publ i cat i ons WM2.1, WM2.2, WM2.3, M2.1, M2.2—Work mathematically to determine the heavier of two objects. •f orr evi ew pur posesonl y• C&D2.1, C&D2.2, C&D2.4—Collect, record and analyse data.
44
N2.2, N2.3—Solve addition and subtraction number sentences.
48
S2.3—Complete mirror images on grid paper.
49
M2.2,WM2.1—Recognise 12-hour time on analog clocks.
7
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N2.2, N2.3—Solve addition and subtraction number sentences.
M2.2,WM2.1—Read a calendar to complete questions.
8
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10
18
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20
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N2.2—Identify the difference in number between collections of objects.
6
40
N2.2—Separate and group collections of objects. Solve subtraction number sentences.
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N2.2, N2.3—Combine collections. Solve number sentences.
45 46 47
50 51 52
C&D2.3, C&D2.4—Analyse data in graphs.
53
N2.2, N2.3—Count in multiples. Identify and describe number patterns.
54
S2.2—Draw specific 2-D shapes on dotted grid paper.
55
N2.2—Group and share collections of objects.
56
M2.2, C&D2.4—Use informal units to measure length. Record data.
57
N2.2, N2.3—Group and count collections. Count in multiples.
58
C&D2.3, C&D2.4—Record data in Venn and Carroll diagrams.
59
N2.2, N2.3—Group and count collections. Count in multiples.
60
• iv • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
Term Three Week Unit
2
3
21
22
23
Page
N2.1a, S2.2—Count in order. Identify objects that involve 2-D shapes.
61
N2.2, N2.3—Group and count collections. Combine collections.
62
M2.2, M2.3—Estimate then measure the length of objects using informal units.
63
N2.1a, N2.2—Group and count collections. Count coins in multiples.
64
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N2.2, N2.3—Group and count collections.
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S2.3, WM2.4—Complete a mirror image on grid paper. Verify correctness of image by checking each stage of working.
67
N2.2, N2.3, N2.1a—Group and count collections. Count coins in multiples.
68
M2.2, N2.4—Interpret a calendar to identify number patterns.
5
6
25
26
27
N2.2, N2.3—Group and count collections.
N2.2, N2.3, N2.1b—Group and count collections. Show halves and fourths on pictures of objects.
72
© R. I . C.Publ i cat i ons N2.2, N2.3—Group and count collections. • f orr e vi e w pu po se sinformal onl y• M2.2, M2.3—Estimate, measure and compare the r length of objects using units.
75
N2.2, N2.3—Group and count collections with remainders.
76
C&D2.3, C&D2.4—Record and analyse data in a Carroll diagram.
77
N2.2—Group and count collections.
78
S2.3—Recognise symmetry in diagrams. Repeat a pictorial pattern of 2-D shapes.
S2.2—Construct 3-D shapes according to set criteria.
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29
30
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N2.4—Exchange sets of cubes into Base 10 MAB.
8
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M2.2, C&D2.4—Use informal units to measure and compare the length of objects. Collect and analyse data.
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WM2.1,WM2.2—Identify and describe ways numbers are used for particular purposes in real-life situations.
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Outcomes
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73 74
79 80
M2.2, C&D2.4—Measure and compare the length of objects using informal units. Record and analyse data.
81
N2.4—Exchange sets of cubes into Base 10 MAB.
82
C&D2.2, C&D2.3—Classify, tally and record data.
83
N2.1a—Solve addition and subtraction number sentences with money.
84
S2.1—Find and describe a path on a given map.
85
N2.4—Copy, continue and describe pictorial repeating patterns.
86
M2.2, M2.3—Estimate, measure and compare the area of objects using informal units.
87
N2.1a—Calculate the amount of change needed for given amounts.
88
N2.4, S2.3—Identify, copy, continue and describe repeating pictorial patterns.
89
N2.1a—Calculate amounts of money.
90
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New Wave Maths for WA Book B • v •
Term Four
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3
32
33
34
Page
WM2.2, WM2.3, M2.1, M2.2—Work mathematically to determine which container has the greatest capacity.
91
N2.1a, N2.2—Use a number grid to identify number patterns.
92
M2.2—Interpret a calendar to answer questions.
93
N2.1a—Calculate the amount of change needed for given amounts.
94
C&D2.2, C&D2.4—Record data in a Venn diagram. Collect and record data in a table.
95
N2.1a—Exchange amounts of money into given values.
96
M2.2—Draw shapes on a grid with given perimeters.
97
N2.1a—Identify the number of coins needed to make given values.
98
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M2.2—Measure and compare the length of objects using a ruler. Use informal units to compare the perimeter and area of given 2-D shapes.
99
N2.1a—Exchange amounts of money for a single coin. Share amounts of money equally.
100
C&D2.3, C&D2.4, C&D2.1—Collect, record and analyse data.
101
N2.1a—Calculate amounts of money.
5
35
36
© R. I . C.Publ i cat i ons M2.2—Use informal units to measure and compare the capacity and area of different containers. •f o rr vi e wobjects pu posesonl y• Measure and order thee lengths of similar in r centimetres. N2.1a—Calculate amounts of money, counting in multiples.
106
C&D2.2, C&D2.3, C&D2.4—Classify, record and analyse data.
107
37
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N2.4, WM2.2—Create a pictorial number pattern using given guidelines.
7
S2.1—Find and describe paths on a given map.
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WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
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M2.2,WM2.1—Identify and describe activities at different times of the day.
8
9
10
38
39
40
102 103
S2.3, N2.4—Identify, copy, continue and describe repeating pictorial patterns. N2.1b, N2.2—Identify equal shares in pictures of objects. Count in multiples.
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Week Unit
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108 109 110 111
WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
112
C&D2.2, C&D2.4—Classify and record data in a Venn diagram and tree diagram.
113
WM2.2, WM2.4—Apply mathematical reasoning to verify the correct answer to a problem.
114
S2.1—Draw a plan for a specific purpose.
115
WM2.2, N2.3—Solve number problems using the correct operation.
116
M2.1, M2.2—Use informal units to measure the area of given shapes, then explain which one was the more effective unit.
117
WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
118
C&D2.3, C&D2.4—Collect, record and analyse data.
119
WM2.4—Identify errors in repeating pictorial number patterns.
120
• vi • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
Unit 1–1 1. Add these. (a) 1 + 1 =
(b) 2 + 1 =
(c) 3 + 1 =
(d) 4 + 1 =
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2. Use the space on this page to draw two ‘scribble’ patterns. Colour your patterns so regions sharing the same boundary have a different colour.
w ww S2.1—Follow guidelines to draw and colour scribble patterns.
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R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 1 •
Unit 1–2 1. Add these. (a) 1 + 8 =
(b) 1 + 4 =
(c) 1 + 3 =
(d) 1 + 7 =
2. Draw a cross on the third circle from the left.
4. Use the grid to do these.
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(a) Make a line through the tenth box.
(c) Circle the sixth box.
(b) Colour the fifteenth box red.
(d) Colour the fourth and twentieth boxes green.
1
© R. I . C.Publ i cat i ons 3 10 •f orr evi ew pur posesonl y• 2
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5. Use the circles below to do these. (a) Draw a star in the sixth circle.
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r o e t s Bo r e Circle the twelfth cube from the right. p ok u S
(d) Draw a red dot in the first circle.
1
5
11 30 • 2 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Identify the ordinal number of objects.
. te in the nineteenth (e) Draw a blueodot in the 24th (b) Draw a triangle c circle. circle. . che e r o (c) Draw a fish in the sixteenth circle. (f) Colour t r sorange. every fifth circle super
Unit 1–3 1. Add these. (a) 1 + 9 =
(b) 1 + 5 =
(c) 1 + 6 =
(d) 1 + 2 =
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2. Trace around one of your hands and one of your feet in the space below.
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M2.1, M2.2, M2.3—Compare the area of his/her hand and foot with classmates’ hands and feet.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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(a) Which is bigger? Compare your tracings with those of your classmates. (b) Who has the biggest hand? (c) Who has the biggest foot? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 3 •
Unit 2–1 1. Add these. (a) 2 + 2 =
(b) 2 + 9 =
(c) 2 + 3 =
(d) 2 + 5 =
2. Colour every third square, starting from the left.
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(b) Describe the pattern.
3. Circle every fifth number.
5 6 7 8 9 10 11 12 13 14 © R. I . C.Publ i cat i ons Describe• thef pattern. orr evi ew pur posesonl y• 2
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4
(a) Who is coming third in the race?
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o c (b) Who is coming c . e r fifth in the race? h er o t s Sue Kim supe r Bob
15
Sam
FINISH
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4. Look at the race.
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5. Colour the small beads red. Starting from the left, colour the fourth and fifth beads blue. Describe the pattern.
• 4 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a, N2.4—Identify ordinal numbers. Identify and describe number patterns.
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r o e t s Bo r e p o u (a) How many squares between each coloured square? k S
Unit 2–2 1. Add these. (a) 2 + 8 =
(b) 2 + 4 =
(c) 2 + 6 =
(d) 2 + 7 = (a) Which is the most popular vegetable? r o e t s Bo r e p ok u S (b) Which is the least popular vegetable?
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2. Use the graph to answer these questions.
(c) How many people prefer lettuce?
Lettuce Onion © R. I . C .Publ i cat i ons f omore rr e vi ew ur p os esonl y• (d) How• many people liked p carrots than corn? Carrot
Corn
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banana
orange
C&D2.4—Analyse and represent data in a pictograph.
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banana
apple
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3. Make your own graph to show the favourite fruits of students in your class from this list. peach
pineapple
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orange
R.I.C. Publications www.ricgroup.com.au
apple
peach
pineapple
New Wave Maths for WA Book B • 5 •
Unit 2–3 1. Add these. (a) 3 + 5 =
(b) 3 + 2 =
(c) 3 + 3 =
(d) 3 + 4 =
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3. Draw your own pattern using four different shapes.
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2. Draw your own pattern using two different shapes.
4.
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What is the fifth shape? • 6 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
S2.3, WM2.2—Create patterns using given numbers of shapes.
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Unit 3–1 1. Add these. (a) 3 + 6 =
(b) 3 + 8 =
(c) 3 + 9 =
(d) 3 + 7 =
r o e t s Bo r e p ok u S
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2. Draw a plan of your bedroom. Show where the door is; where your bed is; where the window is; and where your cupboard is.
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S2.1—Draw a plan for a specific purpose.
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R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 7 •
Unit 3–2 1. Add these. (a) 4 + 8 =
(b) 4 + 6 =
(c) 4 + 4 = 2. Start at 0 and jump in lots of 4. Show what you have done. 2
3
4
5
6
7
3. Draw three candles on each cake.
17 18 19 20
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o e 8s 9t 10 r 11 12B 13 14 15 16 r e oo p u k S Write about the pattern. 1
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0
(d) 4 + 7 =
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o c . Draw the next step in c theh pattern. e r er o t sWrite about the pattern. super
• 8 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a, N2.2, N2.4—Skip count. Identify and describe number patterns.
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Write about the pattern.
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Unit 3–3 1. Add these. (a) 4 + 5 =
(b) 4 + 2 =
(c) 4 + 9 =
(d) 4 + 3 =
r o e t s Bo r e p ok u S
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2. Draw an arrow to show where this set of cubes goes.
Why?
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© R. I . C.Publ i cat i ons Circle the• twof sets ofr cubes that are the same length. or evi ew pu r p osesonl y•
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What is the difference in length between the tallest and the shortest set? cubes R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 9 •
Unit 4–1 1. Add these. (a) 5 + 5 =
(b) 5 + 7 =
(c) 5 + 9 =
(d) 5 + 2 =
2. Make a pattern by colouring the squares.
r o e t s Bo r e p ok u S
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Describe your pattern.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(a) Draw a star on every fourth number.
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(b) Draw a dot on every third number.
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(c) Circle the number with a dot and a star.
1
2
9
10
11
12
13
14
15
8 16 N2.4—Identify, create and describe number patterns.
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3. Follow these instructions.
Describe your pattern.
• 10 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
Unit 4–2 1. Add these. (a) 5 + 4 =
(b) 5 + 6 =
(c) 5 + 3 =
(d) 5 + 8 =
2. Colour yes or no to the following questions.
r o e t s Bo Yes No r e Yes No p ok u S (g) Is it certain you will be older (f) Is it likely to rain tomorrow?
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(a) Is it likely a friend of yours has a birthday this month?
next year?
Yes
(b) Is it certain it will be hot tomorrow?
No
(h) Is it certain night will always follow day?
©R . I . C. Publ i cat i ons Yes Yes No •f orr evi ew pur posesonl y•
No
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No
(i) Is it possible you will get a hug today?
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(d) Is it likely you will be taller than everyone in your family?
C&D2.1—Distinguish possible and impossible events.
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(c) Is it possible to get all your work right this week?
(e) Is it likely that you will go on an overseas holiday this year? Yes
R.I.C. Publications www.ricgroup.com.au
No
No
(j) Is it certain that you will be at school tomorrow? Yes
No
New Wave Maths for WA Book B • 11 •
Unit 4–3 1. Add these. (a) 6 + 8 =
(b) 6 + 2 =
(c) 6 + 5 =
(d) 6 + 9 =
r o e t s Bo r e p ok u S How many altogether? 4
5
3. Use a calculator to do the following. (a) Press 3
6
7
8
10
11
12
5. Share the iceblocks into four equal groups.
(b) Press +
© R. I . C.Publ i cat i ons =f orr evi ew pur posesonl y• Press•
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(d) Press = (f) Press
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(e) Press =
How many in each group?
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What is the answer?
Discuss what happened. 4. Try this with other numbers.
Does the third shape belong in this group?
Yes
No
Is the result as you thought? Yes
No
• 12 • New Wave Maths for WA Book B
Explain.
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.4—Group sets using diagrams. Use the constant function on a calculator to skip count.
(c)
9
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2. Circle lots of 3. 1 2 3
Unit 5–1 1. Add these. (a) 6 + 6 =
(b) 6 + 3 =
(c) 6 + 7 =
(d) 6 + 1 =
2. Find or make 3-D models of the shapes drawn below. When you have your shapes, answer the questions.
r o Triangular prism Triangular pyramid e t s B r e oo p u k S
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Pentagonal prism
© R. I . C .Publ i cat i ons Cube Square pyramid •f orr evi ew pur posesonl y•
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Rectangular prism
S2.2, S2.4—Identify spatial features of 3-D shapes.
o c . che e r o t r s (a) Which shape has the mosts surfaces? uper (b) Which shape has the most corners? (c) Which shape has edges which are all the same length? (d) Which shape has the least number of corners? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 13 •
Unit 5–2 1. Add these. (a) 7 + 2 =
(b) 7 + 8 =
(c) 7 + 6 =
(d) 7 + 3 =
© R. I . C.Publ i cat i ons Continue the patterns. •f orr evi ew pur posesonl y•
(c)
w ww
(b)
. te
o c . che e r o t r s super
(d)
(e)
• 14 • New Wave Maths for WA Book B
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S2.3, WM2.2—Identify and continue patterns using shapes.
(a)
m . u
3.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Find the pattern in the blocks. Draw the next layer in the pattern.
Unit 5–3 1. Add these. (a) 7 + 4 =
(b) 7 + 9 =
(c) 7 + 5 =
(d) 7 + 7 =
2. Use cubes to cover these areas.
ew i ev Pr
Teac he r
r o e t s Bo r e p ok u S cubes? (a) How many
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww M2.2—Use informal units to measure area.
. te
m . u
(b) How many cubes?
o c . che e r o t r s super
(c) How many cubes?
(d) How many cubes?
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New Wave Maths for WA Book B • 15 •
Unit 6–1 1. Add these. (a) 8 + 1 =
(b) 8 + 8 =
(c) 8 + 3 =
(d) 8 + 9 =
2. Place seven cubes on this grid.
r o e t s Bo r e p ok u S
(b) How can you tell?
ew i ev Pr
Teac he r
(a) Do you have an odd or an even number?
w ww
. te
on this grid. (a) Do you have any left over? Yes
No
(b) Why?
• 16 • New Wave Maths for WA Book B
N2.4—Distinguish between odd and even numbers.
o c . che e r o t r s super Try to place sixteen cubes (b) How can you tell?
4.
m . u
© R. I . C.Publ i cat i ons Dol you• have an odd •f orr evi ew pur poses(a)on y or an even number?
3. Place eleven cubes on this grid.
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Unit 6–2 1. Add these. (a) 8 + 5 =
(b) 8 + 9 =
(c) 8 + 4 =
(d) 8 + 6 =
2. Make a tally to show how many of the chosen objects have a particular feature.
Teac he r
Tally r o e t s Bo r e p ok u S Feature
Total
ew i ev Pr
(a) How many objects did you choose from the container?
© R. I . C.Publ i cat i ons •was f o rr ev i ew p ur posesonl y• (b) What the most common feature?
w ww
. t (a) Did you e
3. Do the activity again.
C&D2.2, C&D2.3—Collect, tally and analyse data.
choose the same number of objects?
m . u
(c) What was the least common feature?
o c . che e r o t r s super Feature
Tally
Total
Yes No
(b) Highlight the most and least common features. R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 17 •
Unit 6–3 1. Add these. (a) 9 + 9 =
(b) 9 + 2 =
(c) 9 + 4 =
(d) 9 + 8 =
2. Look at these shapes.
r o e t s Bo r e p ok u S (b) How many circles?
ew i ev Pr
Teac he r
(a) How many triangles?
(c) How many shapes altogether? 3. Look at the animals.
© R. I . C.Publ i cat i ons (a) How many pigs? •f orr evi ew pur posesonl y•
(a) 1 + 4 + 3 =
(c) How many animals altogether?
o c . che e r o t r supe (f) r 1s +2+3=
(b) 5 + 1 + 4 + 3 + 3 =
(g) 3 + 1 + 2 + 1 =
(c) 2 + 2 + 2 + 2 =
(h) 4 + 2 + 4 + 2 =
(d) 3 + 3 + 3 =
(i) 4 + 2 + 3 + 1 + 2 =
(e) 1 + 5 + 1 =
(j) 3 + 2 + 2 =
• 18 • New Wave Maths for WA Book B
N2.3—Count and combine collections of objects and numerals.
w ww 4. Add these.
. te
m . u
(b) How many sheep?
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Unit 7–1 1. Add these. (a) 9 + 7 =
(b) 9 + 5 =
(c) 9 + 6 =
(d) 9 + 3 =
2. Look at these blocks.
r o e t s Bo r e p ok u S (b) How many sets of four cubes are needed to make this structure?
. te
m . u
© R. I . C.Publ i cat i ons f osets rr ethree vi ecubes wp uneeded r pos so nl y• How• many of are toe make this structure?
w ww
S2.2, WM2.2—Construct copies of 3-D shapes and count the number of sets of cubes needed to make each structure.
(c)
ew i ev Pr
Teac he r
(a) How many sets of three cubes are needed to make this structure?
o c . c e r (d) How many sets ofh three cubes are needed t too make er s this structure? super
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New Wave Maths for WA Book B • 19 •
Unit 7–2 1. Work these out. (a) 3 =
+2
(b) 4 =
+1
(c) 2 =
+1
(d) 5 =
+2
3. Cut the pizza into three equal parts.
r o e t s Bo r e p ok u S
4. There are three people.
ew i ev Pr
Teac he r
2. Cut the cake into four equal parts.
. te
5. Share into thirds.
6. Share into fourths.
o c . che e r o t r s super
How many did each person get?
• 20 • New Wave Maths for WA Book B
How many did each person get?
N2.1b—Mark and share diagrams in equal parts.
w ww
Draw this on the cake.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
How many parts do you need to cut the birthday cake to give them equal shares?
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Unit 7–3 1. Work these out. (a) 2 = 1 +
(b) 5 = 1 +
(c) 4 = 2 +
(d) 5 = 3 +
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Use an aerosol can lid to fill a tin, a jar and a cup with sand. Show on the graph how many lids fit in each container, by drawing a picture of your lid for each used.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
3. Answer these questions.
Cup
. te o c (b) How many lids did you need to fill the cup? . ch e r e o t r scup? su (c) Which took more lids to fill, thep jare orr the jar (a) How many lids did you need to fill the tin?
M2.2. C&D2.4—Use informal units to measure capacity. Record and analyse data.
Jar
m . u
Tin
cup
(d) How many lids did you need to fill all three containers? (e) Which took more lids to fill, the jar or tin?
jar
tin
(f) Arrange the tin, jar and cup in order from smallest to longest. smallest R.I.C. Publications www.ricgroup.com.au
longest New Wave Maths for WA Book B • 21 •
Unit 8–1 1. Work these out. (a) 8 =
+4
(b) 6 =
+3
(c) 9 =
+2
(d) 7 =
+5
2. Look at the pictures to answer these.
ew i ev Pr
Teac he r
r o e t s Bo r e p ok u (a) How many stars? How many planets? S (b) How many stars and planets altogether? 3. Look at the pictures to answer these. (a) How many pencils?
© R. I . C.Publ i cat i ons How many erasers? •f orr evi ew pur posesonl y•
Ballarat
. te
Alice Springs Wagga Wagga
5. Answer these.
(a) Highlight the city with the longest name in green.
o c . che e r o t r s su (c)p Do any of the cities have names the r e same length? Circle them. (b) Highlight the city with the shortest name in red.
Kalgoorlie Townsville
Capital Cities Perth Sydney
Geelong Launceston • 22 • New Wave Maths for WA Book B
Hobart Melbourne
Brisbane
Adelaide
Canberra
Darwin R.I.C. Publications www.ricgroup.com.au
N2.1a, N2.2—Count, combine and compare collections.
w ww
4. Tick the towns that have names of the same length.
m . u
(b) How many pencils and erasers altogether?
Unit 8–2 1. Work these out. (a) 8 = 3 +
(b) 7 = 1 +
(c) 9 = 4 +
(d) 6 = 5 +
2. Sort the coins into the correct groups in this Carroll diagram.
r o e t s Bo r e p ok u S Silver
More than $1.50
ew i ev Pr
Teac he r
Less than $1.50
w ww
. te
Left-handed
Boys
Girls
3. Find out how many boys and girls are lefthanded and how many are right-handed. Complete this Carroll diagram.
o c . che e r o t r s super
Right-handed
C&D2.2, C&D2.3, C&D2.4—Record data in a Carroll diagram.
m . u
Gold
© 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 B • 23 •
Unit 8–3 1. Work these out. (a) 10 =
+3
(b) 10 =
+6
(c) 10 =
+4
(d) 10 =
+7
r o e t s Bo r e p ok u S
3. Using more than one coin, how many different ways can you make 20c? Show what you did.
ew i ev Pr
Teac he r
2. Use the smallest number of coins you can to make 50c. A 50c coin can not be used. Draw the coins.
. te
o c . che e r o t r s super
5. Show how many different ways you can make $1.00 using five coins or less.
• 24 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Count and make amounts of money in different ways.
w ww
4. Using more than one coin, how many different ways can you make 50c? Show what you did.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 9–1 1. Work these out. (a) 10 = 1 +
(b) 10 = 8 +
(c) 10 = 6 +
(d) 10 = 5 +
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Sort the pictures below into two groups. Draw a dot on large things and a circle around small things. Write them in groups at the bottom of the page.
M2.1, M2.3—Sort objects by size, considering length and mass.
w ww
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te o Large things Small. things c che e r o r st super
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New Wave Maths for WA Book B • 25 •
Unit 9–2 1. Work these out. (a) 11 =
+6
(b) 11 =
+8
(c) 11 =
+5
(d) 11 =
+3
2. Add these. (a) 4 + 9 =
(s) 8 + 1 = r o e t s Bo r e p (k) 9 + 2 = o (t) 10 + 6 = u k S (l) 2 + 6 = (u) 2 + 5 = (j) 1 + 6 =
(c) 8 + 7 =
ew i ev Pr
Teac he r
(b) 7 + 5 =
(d) 5 + 3 =
(m) 7 + 7 =
(v) 2 + 7 =
(e) 8 + 4 =
(n) 3 + 9 =
(w) 9 + 7 =
(o) 6 + 6 = (x) 5 + 9 = © R. I . C.Publ i cat i on s 3 + 7• =f (p)w 7 +p 4u = r orr evi e posesonl y•
(f) 6 + 7 =
(q) 11 + 4 =
w ww
(i) 3 + 4 =
(r) 4 + 7 =
. te
3. I picked up 3 counters, 4 counters, 3 counters and 2 counters.
o c . che e r o How many have I picked up? r t s super
4. In four throws of a six-sided die, I threw 5, 1, 3 and 3.
What is the total of these numbers?
• 26 • New Wave Maths for WA Book B
N2.3—Add two-, three- and four-digit number combinations to a total of 20.
(h) 9 + 6 =
m . u
(g)
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Unit 9–3 1. Work these out. (a) 11 = 8 +
(b) 11 = 4 +
(c) 11 = 9 +
(d) 11 = 3 +
2. Use a cup to measure equal amounts of rice, sand, washers, nails and cotton wool.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
3. Use a balance scale to compare and order the mass of each type of material. 4. Make a list of the materials from heaviest to lightest.
Heaviest
w ww
Lightest
. te o c (a) How many cups of rice balance with one cup of sand? . che e r o t r s sup r (b) How many cups of sand balance with cup of washers? eone
5. Answer these. M2.2—Measure, order and compare the mass of equal amounts of different materials.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(c) How many cups of rice balance with one cup of nails? (d) How many cups of sand and rice balance with one cup of nails? (e) Does one cup of nails and one cup of sand Yes balance with one cup of rice and one cup of washers?
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No
New Wave Maths for WA Book B • 27 •
. te
o c . che e r o t r s super
• 28 • New Wave Maths for WA Book B
WM2.2, WM2.3, S2.4—Distinguish and describe shapes and patterns on objects in the environment.
m . u
©Photograph copyright Bill Wood 2002 Marine Photography, Qld, Australia
Teac he r
Photograph reproduced with permission from the Department of Conservation and Land Management.
r o e t s Bo r e p ok u S
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
ew i ev Pr
w ww
Photograph reproduced with permission from the Western Australian Museum.
Unit 10–1 1. Look at each animal below. Describe the shapes and patterns you can see.
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Unit 10–2 1. Add these. (a) 12 = 9 +
(b) 12 = 7 +
(c) 12 = 8 +
(d) 12 = 3 +
2. Use longs or rulers to measure items such as your desk, blackboard, play area and others.
r o e t s Bo r e p oTally Item measured u k S
Total
ew i ev Pr
Teac he r
3. Make a tally to show how many longs or rulers were used.
w ww
4. Answer these.
(a) What was the longest item you measured?
. te
o c . c e r (c) How much bigger h was it than e o t r s super the smallest item you measured? (b) How long was it?
M2.2—Use informal units to measure the length of objects.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(d) What was the shortest item you measured? (e) How long was it? (f) Could you record your findings in a different way?
Yes
No
If yes, how? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 29 •
Unit 10–3 1. Work these out. (a) 13 =
+6
(b) 13 =
+8
(c) 13 =
+5
(d) 13 =
+7
2. Solve these.
(b)
r o e t s Bo= r + e p ok u S + =
(c) 3 koalas + 5 koalas =
koalas
(d) 1 kangaroo + 4 kangaroos =
shapes shapes
ew i ev Pr
Teac he r
(a)
kangaroos
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
m . u
3. Use the pictures to help you with these.
. te
left.
o c . che e r o t r s super
(b) Three snakes wriggled away. There are
left.
(c) Two emus left for lunch! How many are left behind? • 30 • New Wave Maths for WA Book B
N2.1a, N2.2—Combine and separate collections.
w ww
(a) Three possums ran up a tree. I now have
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Unit 11–1 1. Work these out. (a) 13 = 7 +
(b) 13 = 5 +
(c) 13 = 4 +
(d) 13 = 8 +
2. Use playdough, cartons, blocks, toothpicks, straws or other suitable materials to make a model similar to one of the drawings on this page.
ew i ev Pr
Teac he r
r o e t s BTriangular r e oo prism Square pyramid p u k S
w ww S2.2, S2.4—Construct 3-D shapes and discuss spatial features.
. te
m . u
© R. I . C.Publ i cat i ons Cylinder Rectangular prism •f orr evi ew pur posesonl y•
o c . che Cube Cone e r o t r s super
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New Wave Maths for WA Book B • 31 •
Unit 11–2 1. Work these out. (a) 14 =
+7
(b) 14 =
+6
(c) 14 =
+8
(d) 14 =
+9
2. Use the pictures to answer these.
ew i ev Pr
Teac he r
r o e t s Bo r e p ok u S (a) Cover 2 parrots. How many are left?
© R. I . C.Publ i ca t i o ns How many are left? •f orr evi ew pur posesonl y• Solve these. (a) 6 +
w ww
(b) 7 –
. te
=9
(c) 8 –
=2
(e) 9 –
=3
(d) 4 +
= 10
(f) 5 –
+
=3
o c . che e r o = circles t r s super
4. Use the shapes to help you with these.
(a)
=2
m . u
3.
(b) (c) (d) • 32 • New Wave Maths for WA Book B
+ + +
=
=
squares
=
stars triangles
N2.2, N2.3—Combine and separate collections of objects and numerals.
(b) Draw a fence around 7 chickens.
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Unit 11–3 1. Work these out. (a) 14 = 6 +
(b) 14 = 9 +
(c) 14 = 8 +
(d) 14 = 7 +
2. In a group of five, estimate who is heaviest through to lightest. Check using bathroom scales and record your results.
r o e t s Bo r e p Measure Name Estimate o u k S
(order)
ew i ev Pr
Teac he r
(order)
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
3. Next to the days of the week, write what you did or would like to do.
M2.3, M2.2, WM2.3—Estimate and measure mass. Order activities by days of the week.
Sunday
Monday
. te
Tuesday
o c . che e r o t r s super
Wednesday Thursday Friday Saturday
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New Wave Maths for WA Book B • 33 •
Unit 12–1 1. Work these out. (a) 17 = 8 +
(b) 15 = 9 +
(c) 16 = 8 +
(d) 16 = 7 + 5. Look at the triangles.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Look at the circles.
How many circles?
How many triangles?
How many large circles?
How many small triangles?
3. Look at the squares.
6. Count the sides.
. te
o c 7. Count the sides. . che e r o r st super
How many tiny squares? 4. Count the sides.
How many sides? • 34 • New Wave Maths for WA Book B
How many sides?
How many sides?
N2.2, N2.3—Count collections according to attributes.
w ww
How many squares?
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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Unit 12–2 1. Work these out. (a) 15 = 6 +
(b) 16 = 9 +
(c) 18 = 9 +
(d) 15 = 7 + Type of food
Tally
r o e t s Bo r e p ok u S vegetables
Total
meat
ew i ev Pr
Teac he r
2. Make a tally to show the favourite foods of students in your class.
fruit pasta ice-cream
© R. I . C.Publ i cat i ons What is the most favourite food? •f orr evi ew pur posesonl y•
(a)
(b) How many students chose this as their favourite?
rectangle
. te
C&D2.2, C&D2.3, C&D2.4—Collect, tally and analyse data.
triangle
Tally
Total
3. Make a tally to show some different shapes found in the classroom and around the school.
m . u
square
w ww
Shape
o c . che e r o t r s super
circle oval (a) What was the most common shape? (b) What was the least common shape?
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New Wave Maths for WA Book B • 35 •
Unit 12–3 1. Work these out. (a) 3 +
=5
(b) 2 +
=5
(c) 1 +
=3
(d) 3 +
=4
2. Can you work these out?
ew i ev Pr
Teac he r
(a)
r o e t s Boto make 9? r e How many more p ok u S
(b)
How many more to make 8?
(c)
How many more to make 10?
. te
I need
more to make 6.
o c . che e r o t r s more to make 12. sup (g) I have 9 seastars. I need er (f) I have 3 crabs.
I need
more to make 10.
3. Solve these.
(a)
How much more to make 10c?
(b)
How much more to make 20c?
• 36 • New Wave Maths for WA Book B
N2.2, N2.3—Use count on strategies to solve addition problems.
w ww
(e) I have 3 shells.
m . u
(d)
© R. I . C.Publ i cat i ons many more 15? •f orr evi ew pHow ur p os estoomake nl y •
R.I.C. Publications www.ricgroup.com.au
Unit 13–1 1. Work these out. (a) 4 +
=5
(b) 2 +
=3
(c) 1 +
=2
(d) 2 +
=4
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Colour the curved shapes red. Colour the others green.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te
R.I.C. Publications www.ricgroup.com.au
m . u
w ww
S2.4, M2.2—Sort objects according to spatial criteria. Order objects according to length.
3. Number these rockets in order from longest to shortest.
o c . che e r o t r s super
New Wave Maths for WA Book B • 37 •
Unit 13–2 1. Add these. (a) 4 +
= 10
(b) 5 +
= 10
(c) 7 +
=8
(d) 6 +
=9
r o e t s Bo r e p ok u S
3. Put the trains into groups by circling lots of four.
© R. I . C.Publ i cat i ons •into f o rr e i ewlotsp r posesonl y• Put the cars groups byv circling ofu two.
o c . che e r o t r s super
5. Divide each of these sets of objects into three equal groups. (a)
(b)
• 38 • New Wave Maths for WA Book B
N2.2—Group collections of objects.
w ww
. te
m . u
4.
ew i ev Pr
Teac he r
2. Put the tractors into groups by circling lots of three.
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Unit 13–3 1. Add these. (a) 5 +
=7
(b) 4 +
=8
(c) 7 +
=9
(d) 3 +
=6
r o e t s Bo r e p ok u S First
ew i ev Pr
Teac he r
2. Order these four objects from heaviest to lightest.
3. Find four objects made from the same material and place them in order from lightest to heaviest. Write them below. First: Third:
© R. I . C.Pub l i cat i ons Second: •f orr evi ew pur posesonl y• Fourth:
m . u
w ww
M2.2—Order objects by mass using hefting and a seesaw balance. Order objects by length.
4. Use your ruler and a cardboard tube to make a seesaw balance. Use cubes to balance the seesaw. Talk about what you find.
. te
5.
o c . che e r o t r s su Find three objects in the classroom andp arrange them in order from shortest to er longest. Write them below.
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Shortest:
Longest: New Wave Maths for WA Book B • 39 •
Unit 14–1 1. Work these out. (a) 6 +
= 13
(b) 8 +
= 14
(c) 7 +
= 13
(d) 5 +
= 12
5. Circle five bobtails.
r o e t s Bo r e p ok u S
How many left? 3. Draw a fence around four snakes.
ew i ev Pr
Teac he r
2. Cross out three lions.
How many not circled?
6. Two possums run up a tree.
w ww
How many outside?
How many left?
How many left?
How many left?
. te
o c . Four ducks swim away.c 7. The numbat gives away seven balloons. e her r o t s super
• 40 • New Wave Maths for WA Book B
N2.2—Separate collections of objects.
4.
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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Unit 14–2 1. Work these out. (a) 5 +
= 14
(b) 8 +
= 12
(c) 6 +
= 11
(d) 7 +
= 14
2. Use the graph to answer these questions.
r o e t s Bo r e p ok u S have brown hair? (b) How many children
ew i ev Pr
Teac he r
(a) How many children have blonde hair?
(c) How many more children have blonde hair than black hair?
© R. I . C.Publ i cat i ons (d) How many children are there •f orr evi ew pur posesonl y• altogether? Brown
w ww
m . u
Blonde
Black
3. Make a graph to show the number of students in your class who have blonde, black, brown, red or other coloured hair.
C&D2.3, C&D2.4—Analyse and represent data on a pictograph.
. te
blonde
R.I.C. Publications www.ricgroup.com.au
o c . che e r o t r s super
black
brown
red
other
New Wave Maths for WA Book B • 41 •
Unit 14–3 1. Work these out. (a) 7 +
= 15
(b) 6 +
= 15
(c) 8 +
= 16
(d) 7 +
= 16
r o e t s Bo r e p ok u S 8–4=
ew i ev Pr
Teac he r
2. Solve these using the pictures to help you. (a)
(b)
(c)
8–3=
© R. I . C.Publ i cat i ons •f orr evi ew pur poseson l y• 10 – 4 =
. te
o c . che e r How many in each group? o t r s super
(b) Share these circus clowns evenly into three groups.
How many in each group? • 42 • New Wave Maths for WA Book B
N2.2—Separate and group collections of objects. Solve subtraction number sentences.
w ww
(a) Share the tents evenly into two groups.
m . u
3. Now try these.
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Unit 15–1 1. Work these out. (a) 9 +
= 15
(b) 8 +
= 17
(c) 9 +
= 16
(d) 8 +
= 15
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Copy the shapes on this page onto the dotted grid below.
w ww
o c . che e r o t r s super
S2.2—Copy 2-D shapes onto dotted grid paper.
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 43 •
Unit 15–2 1. Take these. (a) 8 – 1 =
(b) 3 – 1 =
(c) 6 – 1 =
(d) 9 – 1 = 5. Look at these shapes.
r o e t s Bo r e p ok u S
What is the difference between the two sets? 3. Look at these shapes.
ew i ev Pr
Teac he r
2. Look at these shapes.
How many more
?
6. Look at these shapes.
4.
? o c . Look at these shapes.c e her r o t s super
What is the difference between the two sets? • 44 • New Wave Maths for WA Book B
How many more 7. Look at these shapes.
How many more
?
N2.2—Identify the difference in number between collections of objects.
w ww
. te
What is the difference between the two sets?
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
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Unit 15–3 1. Take these. (a) 3 – 1 =
(b) 7 – 1 =
(c) 2 – 1 =
(d) 4 – 1 =
2. Write the twelve-hour time shown on these clock faces. (a)
o 12r e t s 1 B r 11 11 e o 10 2 10 ok 2 p u 9 9 3 S3 (b)
11 12 10
1
7
10
7
5
6
8
3 6
5
(e) (f) © R . I . C . P u b l i c a t i o ns 12 12 12 1 1 11 11 1 11 •f or2r evi ew p u r p o s e s o n l y • 2 10 10
9
3
9
4
8
w ww
7
6
3 4
8 7
5
6
5
(g) 11 12
1
10
3 4
8 7
6
5
R.I.C. Publications www.ricgroup.com.au
3 7
6
o c . che (h) (i) e r 12 o t r 1r s su 11 p 11 12 e 2 2 10 10
9
9
3 4
8 7
6
5
2
9 8
. te
M2.2, WM2.1—Recognise 12-hour time on analog clocks.
2 4
7
5
1
m . u
(d)
6
4
8
4
8
12
ew i ev Pr
Teac he r
9
(c)
4
5
1 2
9
3 4
8 7
6
5
New Wave Maths for WA Book B • 45 •
Unit 16–1 1. Look at the pictures below. Decide which object you think is the heaviest in each picture. Explain why. Banana
r o e t s Bo r e p ok u S
Orange
Basketball
ew i ev Pr
Teac he r
Orange
o c . che e Shoe Breadcrumbs r o t r s super
• 46 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
WM2.1, WM2.2, WM2.3, M2.1, M2.2—Work mathematically to determine the heavier of two objects.
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 16–2 1. Take these. (a) 6 – 2 =
(b) 3 – 2 =
(c) 7 – 2 =
(d) 4 – 2 = 3. Throw the six-sided die two times. Show the total of the two throws on the graph. Repeat this.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Throw a six-sided die three times. Colour the blocks in the graph below to show the total of the three throws. Repeat this.
w ww C&D2.1, C&D2.2, C&D2.4—Collect, record and analyse data.
. te Total of
three throws 4. Answer these.
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 Total of three throws
Total of two throws
Total of two throws
(a) Which gave the biggest total? Why? (b) Was the total of two throws Yes ever bigger than the total of three throws?
No
Why?/Why not? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 47 •
Unit 16–3 1. Take these. (a) 10 – 3 =
(b) 7 – 3 =
(c) 11 – 3 =
(d) 5 – 3 =
2. How many number sentences can you complete? (k) 6 = 1 + r o e t s B r e oo p (g) 5 + 6 = (l)k 8+7= u S (f) 9 = 2 +
(a) 2 + 4 =
(c) 11 – 3 = (d) 6 +
(h) 2 + 4 = =9
(i) 5 +
(m) 6 = 4 + = 10
(j) 6 = 3 +
(e) 7 – 5 =
ew i ev Pr
Teac he r
(b) 16 = 8 +
(n) 16 = (o) 3 +
+9 =8
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
3. Now try these.
= 15
(j) 9 = 3 +
(b) 5 +
=8
(k) 6 +
=8
(l) 7 +
= 14
(d) 11 – 4 =
. te
(e) 6 = 2 +
(o) 15 – 8 =
o c . che e r o t r s super (m) 7 +
= 10
(f) 8 + 8 = (g) 11 – 7 = (h) 1 +
=8
(i) 17 = 9 + • 48 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Solve addition and subtraction number sentences.
(c) 17 = 6 +
(n) 11 – 5 =
m . u
w ww
(a) 7 +
Unit 17–1 1. Take these. (a) 6 – 3 =
(b) 9 – 3 =
(c) 8 – 3 =
(d) 4 – 3 =
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Copy this pattern on the other side of the line to make a mirror image.
© 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
S2.3—Complete mirror images on grid paper.
. te
m . u
w ww
3. Copy these patterns into the space above to make mirror images.
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New Wave Maths for WA Book B • 49 •
Unit 17–2 1. Take these. (a) 13 – 4 =
(b) 6 – 4 =
(c) 10 – 4 =
(d) 12 – 4 =
2. Solve these number sentences. (a) 4 + 7 =
ew i ev Pr
Teac he r
(b) 5 + 6 =
(m) 9 + 9 = r o e t s B r e oo p (n) 4 + k 6= u S
(c) 11 = 7 +
(o) 14 = 5 +
(d) 11 = 2 +
(p) 14 = 7 +
(e) 5 +
= 14
(q) 5 +
©= R I . C.Publ i ca t i o ns 14 . (r) 7+ = 12 •f orr evi ew pur pos esonl y• (s) 18 – 9 = 8–6=
(f) 8 +
(h) 8 – 7 =
(t) 15 – 7 =
. te
(j) 7 + 4 + 3 = (k) 1 + 5 + 3 =
(l) 3 + 3 + 1 + 4 =
(u) 14 = 3 +
o c . che e (w) r 3+ o t r s super (v) 14 = 10 +
(x) 8 +
= 12 = 12
3. Find the answers to 3 + 3 + 3 and to 3 lots of 3. Write about what you find and why you think this is so.
• 50 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Solve addition and subtraction number sentences.
w ww
(i) 3 + 2 + 1 =
m . u
(g)
= 12
Unit 17–3 1. Take these. (a) 7 – 4 =
(b) 11 – 4 =
(c) 5 – 4 =
(d) 8 – 4 =
2. Look at the calendar. January 13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
Teac he r
1 2 3 4 5
6 7 8 9 10 11 12
r o e t s Bo r e p ok u S 3 4 5 6 7 1 8 2 9
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
March
24 25 26 27 28
31 3 4 5 6 7 1 8 2 9
August 4 5 6 7 1 8 2 9 3 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
10 11 12 13 14 15 16
17 18 19 20 21 22 23
April
24 25 26 27 28 29 30
1 2 3 4 5 6
September 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
May
21 28 22 29 23 30 24 25 26 27
October 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
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
June 26 27 28 29 30 31
November 27 28 29 30 31
3 4 5 6 7 1 8 2 9
30 2 3 4 5 6 7 1 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
ew i ev Pr
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
February
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
23 24 25 26 27 28 29
December
1 2 3 4 5 6 7
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 29 23 30 24 31 25 26 27 28
w ww
(b) Colour the fourth week of the year blue. (c) Which is the first month to start with M?
. te
m . u
(a) Which is the sixth month?
o c . c e r (e) Which is the thirdh month er o t s super to have exactly 30 days? M2.2, WM2.1—Read a calendar to complete questions.
(d) Which is the tenth month?
(f) What date is your birthday? (g) What is the month after the month your birthday is in? (h) Colour the eighth month red. R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 51 •
Unit 18–1 1. Take these. (a) 14 – 5 =
(b) 13 – 5 =
(c) 12 – 5 =
(d) 9 – 5 =
+
(b)
r o e t s Bo r e p ok u + S =
=
ew i ev Pr
Teac he r
2. Use blocks and counters to solve these problems. (a) (e)
(f)
© R. I . C.Publ i cat i ons + rr =i •f o ev ew pur posesonl y• +
(g)
. t + e
o c . che e r o t r s super =
+
(d)
= 14
(h)
+
• 52 • New Wave Maths for WA Book B
= 23
+
=
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N2.2, N2.3—Combine collections. Solve number sentences.
w ww
(c)
m . u
=
Unit 18–2 1. Take these. (a) 8 – 5 =
(b) 10 – 5 =
(c) 11 – 5 =
(d) 7 – 5 = (a) How many more peacocks than r o e t s reindeer? Bo r e p ok u S
ew i ev Pr
Teac he r
2. Use the graph to answer these questions.
(b) How many more peacocks and flamingos are there than reindeer and camels?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Peacock Reindeer Flamingo Camel
(c) How many birds are there in total?
w ww
(a) How many more children walk than catch the bus?
. te
m . u
3. Use the graph to answer these questions.
Means of Getting to School
o c . c e (b) What is the difference between the he r o t r s super most common and least common
C&D2.3, C&D2.4—Analyse data in graphs.
way of getting to school?
(c) How many children go by car?
Walk
R.I.C. Publications www.ricgroup.com.au
Bus
Car
Bike
New Wave Maths for WA Book B • 53 •
Unit 18–3 1. Take these. (a) 15 – 6 =
(b) 13 – 6 =
(c) 8 – 6 =
(d) 11 – 6 =
2. Use the dots to answer the questions.
Row 1
r o e t s Bo r e Row 3 p ok u S Row 4
ew i ev Pr
Teac he r
Row 2
Row 5 Row 6 Row 7 Row 8
9 © RRow . I . C .Publ i cat i ons Row 10 •f orr ev i ew pur posesonl y•
w ww
m . u
(a) Colour the first five dots in rows 1, 2 and 3 red. Count them by threes. How many red dots are there?
(b) Colour the dots in rows 6 and 7 green. Count them by fours. How many green dots are there?
. te
o c . c e he r (d) Draw a square around each tenth dot. o t r s super Describe what you have done.
(e) Draw a cross on the fifth dot of every row. Describe what you have done.
• 54 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Count in multiples. Identify and describe number patterns.
(c) Colour the dots in rows 9 and 10 blue. Count them by twos. How many dots are coloured blue?
Unit 19–1 1. Take these. (a) 10 – 6 =
(b) 9 – 6 =
(c) 7 – 6 =
(d) 12 – 6 =
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. On the dotted grid below, draw a 3-, 4-, 5- and 6-sided shape. Use different colours to show the sides of each shape.
w ww
o c . che e r o t r s super
S2.2—Draw specific 2-D shapes on dotted grid paper.
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 55 •
Unit 19–2 1. Take these. (a) 13 – 7 =
(b) 11 – 7 =
(c) 16 – 7 =
(d) 15 – 7 =
2. Complete these division problems.
r o e t s Bo r e p ok u S
(b) Circle four lots of three.
(e) Circle five lots of two.
© R. I . C.Publ i cat i ons Circle six lots two. (f)p Circle two lots of four. • f o rofr e vi ew pur ose so n l y •
o c . che e r o t r s super
(a) Use three different colours to share these shells evenly. How many in each group?
(b) Use four different colours to share these shells evenly. How many in each group? • 56 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2—Group and share collections of objects.
w ww
. te
3. Now try these.
m . u
(c)
(d) Circle three lots of three.
ew i ev Pr
Teac he r
(a) Circle four lots of two.
Unit 19–3 1. Take these. (a) 8 – 7 =
(b) 12 – 7 =
(c) 14 – 7 =
(d) 9 – 7 =
2. Use 1-cm cubes to measure the length of these things. (a) pencil
cm
(e) stapler
3.
(f) rubber
Graph the results of your measuring on the graph below. 20 19 18 17 16
cm cm
ew i ev Pr
Teac he r
(c) duster
cm (b) your thumb r o e t s Bo r e p cm (d) sharpener ok u S
cm
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
15 14
m . u
w ww
Length in cm
13 12 11 10 9
. te
o c . che e r o t r s super
M2.2, C&D2.4—Use informal units to measure length. Record data.
8 7 6 5 4 3 2 1
pencil
your thumb duster
R.I.C. Publications www.ricgroup.com.au
sharpener
stapler
rubber
New Wave Maths for WA Book B • 57 •
Unit 20–1 1. Take these. (a) 10 – 8 =
(b) 14 – 8 =
(c) 12 – 8 =
(d) 11 – 8 =
Red
(a)
r o e t s Bo r e p ok u S Blue
Yellow
Green
ew i ev Pr
Teac he r
2. Colour the sets of objects.
Orange
© R. I . C.Publ i cat i ons How many lots of three? (b) How many altogether? •f orr evi ew pur posesonl y•
o c . che e r o t r s (b) How many sides are there s altogether? uper (c) How many sides are there altogether?
(d) How many sides are there altogether? • 58 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections. Count in multiples.
w ww
. te
(a) How many sides are there altogether?
m . u
3. Count the sides on these shapes.
Unit 20–2 1. Take these. (a) 12 – 8 =
(b) 13 – 8 =
(c) 16 – 8 =
(d) 15 – 8 =
2. You will need a set of attribute blocks for this page. Sort the attribute blocks into the Venn and Carroll diagrams below. Write the total number of blocks that can be in each section of the diagrams.
shapes
yellow shapes
ew i ev Pr
Teac he r
Venn diagram
r o e t s Bo r e p ok u S Large Yellow Large
shapes
w ww
Carroll diagram
Thin
Round
o c . che e r o t r s super
Not Round
C&D2.3, C&D2.4—Record data in Venn and Carroll diagrams.
. te
Thick
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 B • 59 •
Unit 20–3 1. Take these. (a) 18 – 9 =
(b) 11 – 9 =
(c) 17 – 9 =
(d) 12 – 9 =
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Complete these.
(a) How many lots of two?
How many altogether?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
A
A
Q
Q
Q
8
A
Q
8
A
Q
8
A 8
A
8
Q
A
8
9
9
9
9
9
. te
Q
8
8 9
A
A
A
9
Q
8
Q
8
9
A
A
Q
8
9
9
w ww Q
A
Q
8
8
8
8
Q
A
8
9
• 60 • New Wave Maths for WA Book B
A
9
9
(d) How many lots of five?
Q
9
A
9
9
o c . che e r o t r smany altogether? uper (c) How many lots of four? s How Q
How many altogether? R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections. Count in multiples.
Q
How many altogether?
m . u
(b) How many lots of three?
Unit 21–1 1. Take these. (a) 16 – 9 =
(b) 14 – 9 =
(c) 10 – 9 =
(d) 15 – 9 =
2. Join the dots in number order to find the picture. Name what you think they might be.
r o e t s Bo r e p o u k S6
4
ew i ev Pr
Teac he r
1
3
(a)
© R. I . C.Publ i cat i ons 4s 5 o •f orr evi ew pur po es nl y• 5
2
N2.1a, S.2.2—Count in order. Identify objects that involve 2-D shapes.
w ww
(b)
1
. te 15 14
3 9
7
6
m . u
2
12
o c . c e r 16 h er o t 17 s super 10
13
1219
10
11 1 5 8 9
18
8
11
2
3 4
7
6
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(c) New Wave Maths for WA Book B • 61 •
Unit 21–2 1. Add these. (a) 17 + 1 =
(b) 15 + 5 =
(c) 14 + 3 =
(d) 16 + 2 =
2. Use the pictures to answer these.
r o e t s Bo r e p ok u S How many each?
ew i ev Pr
Teac he r
(a) Share these balloons between two people.
(b) Put the ice-creams into two boxes so each box has the same number.
How many each?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(c) Share these ties into four equal lots.
m . u
How many each?
. te
3. Add these. (a)
(b)
o c . che e r o t r s super
How many each?
+
+
+
=
+
+
=
(c) + • 62 • New Wave Maths for WA Book B
+
= R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections. Combine collections.
w ww
(d) Share these hats between two people.
Unit 21–3 1. Add these. (a) 18 + 4 =
(b) 16 + 7 =
(c) 13 + 6 =
(d) 12 + 8 =
r o e t s Bo r e p ok u S Length in longs Traded into
Item
estimated
width of desk
measured
flats
ew i ev Pr
Teac he r
2. Use Base 10 MAB longs to measure the following items. Estimate all answers. Trade the longs into flats, longs and large cubes.
longs
large cubes
width of door
w ww
width of class
M2.2, M2.3—Estimate then measure the length of objects using informal units.
your height
. te
your arm span
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• height of desk length of desk
o c . che e r o t r s super
your stride length your foot length your hand span your leg length R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 63 •
Unit 22–1 1. Add these. (a) 17 + 9 =
(b) 19 + 5 =
(c) 15 + 6 =
(d) 17 + 8 =
2. Use the pictures to help you with these.
r o e t s Bo r e p ok u S How many lots of three?
ew i ev Pr
Teac he r
(a) Draw a circle around groups of three.
(b) Draw a box around groups of four.
. te
4.
o c . Add these sums.You may want to use coins. ch e r er o t s super (a) 5c + 5c + 5c =
c
(b) 10c + 10c + 10c + 10c + 10c =
c
(c) 50c + 50c = $ (d) 20c + 20c + 20c + 20c + 20c = $ • 64 • New Wave Maths for WA Book B
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N2.1a, N2.2—Group and count collections. Count coins in multiples.
w ww
m . u
3.
© R. I . C.Publ i cat i ons Draw these. f o r e vi ew pu(b) r pTwo os es nl y• (a) Three• lots ofr two books. lots ofo four pencils. How many lots of four?
Unit 22–2 What are the numbers used for on the items below?
Teac he r
ew i ev Pr
r o e t s Bo r e p ok u The numbers are used The numbers are used for Sfor
. te
m . u
w ww
WM2.1, WM2.2—Identify and describe ways numbers are used for particular purposes in real-life situations.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . che e r o t r s are used for supThe er The numbers are used for numbers
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New Wave Maths for WA Book B • 65 •
Unit 22–3 1. Add these. (a) 1 + 5 + 3 =
(b) 2 + 4 + 3 =
(c) 2 + 2 + 2 =
(d) 3 + 3 + 3 =
2. Use the pictures to help you with these.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
(a) Give each child an equal share of the balls.
How many each?
(b) Share these cubes among the children.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(c) Share these pencils among the children.
w ww
. te
m . u
How many each?
o c . che e r How many each? o t r s super
How many each? • 66 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections.
(d) Share these erasers among the children.
Unit 23–1 1. Add these. (a) 5 + 3 + (c) 3 + 2 + 3 =
= 10
(b) 5 + 4 + 4 = (d) 4 + 2 +
= 10
2. Copy this pattern on the other side of the line to make a mirror image.
the drawing.
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Teac he r
3.
r o e t s Bo r e p ok u Colour both sidesS of
m . u
4. Answer these.
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S2.3, WM2.4—Complete a mirror image on grid paper. Verify correctness of image by checking each stage of working.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(a) How many squares are coloured to the left of the dotted line? (Include part squares as one square.)
. te o (b) How many squares are coloured to the right of the dotted line? c . che e (Include part squares as one square.) r o r st super (c) Are there the same number of Yes squares coloured on both sides of the dotted line?
No
(d) Why is this so?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 67 •
Unit 23–2 1. Add these.
(c) 4 +
=9 + 3 = 11
2. Answer these.
(d) 2 + 4 +
=9
r o e t s B r How much altogether? e oo p u k S
c
How much altogether?
c
(b)
wheels
legs
w ww
© R. I . C.Publ i cat i ons How many wheels on the four cars? •f orr evi ew pur posesonl y•
m . u
(c)
(d)
+ 4 = 10
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Teac he r
(a)
(b) 1 +
How many legs on the four tripods?
. te among three boys. o (a) Share six cakes c . che e r o t r s super
3. Share these.
How many cakes each? (b) Share eighteen slices of pizza among six girls.
How many slices each?
• 68 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3, N2.1a—Group and count collections. Count coins in multiples.
(a) 2 + 3 +
Unit 23–3 1. Multiply these. (a) 2 x 1 =
(b) 1 x 10 =
(c) 1 x 5 =
(d) 1 x 4 =
2. Use the calendar to answer these. Tues
Sat 5 12
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6
(a)
r o Wed Thurs Fri e t s B r e1 oo4 p 2 3 u k S7 8 9 10 11 Mon
Teac he r
Sun
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
© R. I . C.Publ i cat i ons Colour the first three full weeks of the month blue. •f orr evi ew pur posesonl y•
w ww
m . u
How many days are coloured? (b) Draw a red cross on every third day. What pattern can you see?
M2.2, N2.4—Interpret a calendar to identify number patterns.
. te
o c . che e r o t r s super
(c) Mark these children’s birthdays with a circle. Cath................. 15th
Mia ..................1st
Jared ................ 29th
Jake ..................22nd
Stuart .............. 8th What can you see from this pattern?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 69 •
Unit 24–1 1. Multiply these. (a) 2 x 5 =
(b) 2 x 4 =
(c) 2 x 3 =
(d) 2 x 2 =
2. Show how many groups can be made from these marbles by circling.
r o e t s Bo r e p ok u S
(b) How many lots of four can be made?
© R. I . C.Publ i cat i ons f o rr vi e pur posesonl y• How• many lots ofe two canw be made?
w ww
. te
m . u
(c)
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Teac he r
(a) How many groups of five can be made?
o c . che e r o t r s super
(d) How many lots of three can be made?
• 70 • New Wave Maths for WA Book B
N2.2, N2.3—Group and count collections.
(e) How many lots of three can be made?
R.I.C. Publications www.ricgroup.com.au
Unit 24–2 1. Multiply these. (a) 3 x 5 =
(b) 3 x 4 =
(c) 3 x 3 =
(d) 3 x 2 =
Foot Length
Tally r o e t s Bo r e p ok u S Name
© R. I . C.Publ i cat i ons Yes Nos or r e vi e wp ur po esonl y• Are • anyf feet the same length?
3. Answer these questions. (a)
Total
ew i ev Pr
Teac he r
2. Use longs to measure the length of your foot. Make a list to show the measurement of your foot and three friends’ feet.
(c) How long is the shortest foot?
. te
m . u
w ww
M2.2, C&D2.4—Use informal units to measure and compare the length of objects. Collect and analyse data.
(b) How long is the longest foot?
o c . che e r o t r s super
4. Make a list of people in your class who have blonde hair and blue eyes.
5. Answer these questions. (a) How many are there? (b) How many people are there in your class altogether? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 71 •
Unit 24–3 1. Multiply these. (a) 4 x 3 =
(b) 4 x 2 =
(c) 4 x 1 =
(d) 3 x 10 =
2. Use the pictures to help you to answer these. (c) How many groups of 4? r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
(a) How many groups of 3?
. ttotal? o What is thee What is thec total? . che e r o t r s uper Use the pictures to answer these.s (a) One ‘space burger’ can be cut into how many halves?
(b) One ‘space sandwich’ can be cut into how many fourths? • 72 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3, N2.1b—Group and count collections. Show halves and fourths on pictures of objects.
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3.
m . u
What is the total? © R. I . C.Publ i c at i ons f o rr eofv2?i ew pur p ses on l y• (b) How• many groups (d)o How many groups of 3? What is the total?
Unit 25–1 1. Multiply these. (a) 5 x 2 =
(b) 5 x 1 =
(c) 4 x 5 =
(d) 4 x 4 =
r o e t s Bo r e p ok u S
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Teac he r
2. Look at the drawings on this page.
© R. I . C.Publ i cat i ons What do you notice when you turn the page sideways and upside down? •f orr evi ew pur posesonl y•
S2.3—Recognise symmetry in diagrams. Repeat a pictorial pattern of 2-D shapes.
. te
R.I.C. Publications www.ricgroup.com.au
m . u
w ww
3. Use your ruler to complete the pattern to show how the shapes can be placed to cover the rest of this page.
o c . che e r o t r s super
New Wave Maths for WA Book B • 73 •
Unit 25–2 1. Multiply these. (a) 3 x 6 =
(b) 5 x 5 =
(c) 5 x 4 =
(d) 5 x 3 =
2. Use the pictures to answer these.
r o e t s Bo r e p ok u S
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Teac he r
(a) Share ten shells equally among five girls.
How many each?
(b) Share eight beach towels between two boys.
w ww
. te
m . u
(c)
© R. I . C.Publ i cat i on seach? How many orofr e vi eevenly wp ur p ose sonl y• Share• sixf pairs flippers among three children.
How many pairs each?
o c . che e r o t r s super
(d) Share nine tubes of sunscreen evenly among three people.
(e) Share eight T-shirts equally among four children.
How many each? • 74 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections.
How many each?
Unit 25–3 1. Multiply these. (a) 5 x 6 =
(b) 4 x 6 =
(c) 3 x 8 =
(d) 2 x 7 =
2. Find the objects drawn below. Are they shorter or longer than a matchstick? Estimate your answer, then measure using a matchstick.
Answer
(b) Estimate
Shorter
Longer
© R. I . C.Publ i cat i ons Shorter •f or r evi ewLonger pur posesonl y• Estimate Answer
(c)
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Teac he r
(a) Estimate
r o e t s Bo r e p Longer ok Shorter u S
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M2.2, M2.3—Estimate, measure and compare the length of objects using informal units.
(d) Estimate Answer
Shorter
. te
(e) Estimate
Longer
m . u
Answer
o c . che e r o Shorter r Longer t s super
Answer
(f) Estimate
Shorter
Longer
Answer
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 75 •
Unit 26–1 1. Multiply these. (a) 2 x
=2
(b) 2 x
=4
(c) 2 x
=8
(d) 2 x
= 10
2. Use the pictures to answer these.
r o e t s HowB many groups r e o p of four cano you make? u k S
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Teac he r
(a)
How many are left over?
(b)
(c)
How many groups
of two can you make?
© R. I . C.Publ i cat i ons How many are left over? •f orr evi ew pur posesonl y• How many groups
. te
How many are left over?
o c . che e r of tent can o r s you make? super How many groups
How many are left over? (e) How many groups of three can you make? How many are left over? • 76 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2, N2.3—Group and count collections with remainders.
w ww
(d)
m . u
of three can you make?
Unit 26–2 1. Multiply these. (a) 3 x
=6
(b) 3 x
=9
(c) 3 x
= 15
(d) 3 x
= 12
2. Sort the people in your class into groups with the rules of the Carroll diagram below.
r o e t s Bo r e p ok u S
Boys
Teac he r
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Born between (and including) 1 January and 30 June
Girls
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Born between (and including) 1 July and 31 December
C&D2.3, C&D2.4—Record and analyse data in a Carroll diagram.
. 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
3. Which section on the Carroll diagram showed the highest amount of birthdays?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 77 •
Unit 26–3 1. Multiply these. (a) 4 x
= 12
(b) 4 x
=4
(c) 4 x
= 20
(d) 3 x
=3
2. How many cubes are needed to make each of these sets?
(b)
r o e t s Bo r e p ok u S
(c)
(d)
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Teac he r
(a)
© R. I . C.Publ i cat i ons • f o rr e v i ewneed pu pothis se sonl y• Circle the cubes you would tor make set.
(a)
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m . u
3. Use the cubes to answer these.
(c) How many sets of this size can you make from these cubes? • 78 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.2—Group and count collections.
o c . che e r o t r s su er (b) How many sets of cubes can youp make altogether?
Unit 27–1 1. Multiply these. (a) 5 x
= 15
(b) 5 x
=5
(c) 4 x
= 16
(d) 4 x
=8
2. Use 2-cm cubes to build these shapes. Keep the shapes in one piece after you have made them.Write how many cubes it takes to make each model.
(b)
cubes
(c)
cubes
© R. I . C.Publ i cat i ons cubes •f orr evi ew pur posesonl y• cubes
(e)
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m . u
(d)
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Teac he r
(a)
r o e t s Bo r e cubes p ok u S
3. Use five 2-cm cubes to build as many different shapes as you can. Draw them below. The first one is done for you. (Each cube must not overlap another.)
o c . che e r o t r s super
S2.2—Construct 3-D shapes according to set criteria.
. te
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New Wave Maths for WA Book B • 79 •
Unit 27–2 1. Multiply these. (a) 6 x
= 18
(b) 5 x
= 20
(c) 5 x
= 25
(d) 5 x
= 10
r o e t s Bo r e p ok u S
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Teac he r
2. Change these cubes into fewer pieces without changing the value.
Traded for
3. Change these cubes into fewer pieces without changing the value.
w ww
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Traded for
o c . Change these cubes into fewer pieces without changing thee value. ch r er o t s super
Is there more than one way to do this? Talk about it with the class. • 80 • New Wave Maths for WA Book B
Yes
N2.4—Exchange sets of cubes into Base 10 MAB.
4.
. te
No
R.I.C. Publications www.ricgroup.com.au
Unit 27–3 1. Multiply these. (a) 6 x
= 24
(b) 8 x
= 24
(c) 5 x
= 30
(d) 7 x
= 28
12
r o e t s Bo r e p ok u S
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Teac he r
2. Use a Base 10 MAB long to measure your desk length. Show this on the graph by colouring one space for each long used. Measure other things and graph these. Talk about the results with your classmates.
11 10
7
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
6 5 4 3
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2 1
m . u
Number of 10-cm longs
8
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M2.2, C&D2.4—Measure and compare the length of objects using informal units. Record and analyse data.
9
o c . che e r o t r s super
Desk R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 81 •
Unit 28–1 1. Multiply these. (a)
x2=8
(b)
x2=4
(c)
x2=2
(d)
x2=6
2. The Trading Game – Addition Practice
r o e t s Bo r e pyou roll the die and pick upo (c) When it is youru turn, a number of cubes equal k to the number Sshown on the die. (a) Get together in small groups.
(d) As the game goes on, trade the cubes for longs. Try to use the least number of cubes you can.
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Teac he r
(b) Each person takes turns to roll a six-sided die.
(e) After ten throws, compare your wood with others in the group. The person with the greatest value of wood is the winner. 3. The Trading Game – Subtraction Practice
© R. I . C.Publ i cat i ons (b) Each• person starts aw flat. p f or r ewith vi e ur posesonl y• (a) Get together in small groups.
(c) Each person takes turns to roll a ten-sided die.
m . u
w ww
(d) When it is your turn, you roll the die and subtract the amount shown from your flat.You will have to change larger pieces of wood for smaller pieces. (e) The first person to get rid of all their wood is the winner.
. te
o c . che e r o t r s super
N2.4—Exchange sets of cubes into Base 10 MAB.
4. Change this wood into fewer pieces without changing the value.
• 82 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
Unit 28–2 1. Multiply these. (a)
x 3 = 12
(b)
x3=6
(c)
x 3 = 15
(d)
x3=9
r o e t s Bo r e p ok u S
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Teac he r
2. Make a tally of the shapes below and then graph the answers.
Shapes
Tally
Large squares Small squares
Total
©R . I . C.Publ i cat i ons Large circles •f orr e vi e w pur posesonl y• Small circles
w ww Number of shapes
C&D2.2, C&D2.3—Classify, tally and record data.
6
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5 4
m . u
Large triangles Small triangles
o c . che e r o t r s super
3 2 1 Large squares
Small squares
R.I.C. Publications www.ricgroup.com.au
Large circles
Small circles
Large triangles
Small triangles
New Wave Maths for WA Book B • 83 •
Unit 28–3 1. Multiply these. (a)
x 4 = 20
(b)
x4=8
(c)
x 4 = 16
(d)
x3=3
2. Complete these. (g) 15c – 10c = r o e t s Bo r e p o=k (b) 15c – 5c = (h) 20c – 5c u S (c) 20c – 15c = (i) 15c – 15c = (d) 50c – 5c =
(j) 20c – 10c =
(e) 10c – 5c =
(k) 40c – 20c =
(l) 35c – 20c = © R. I . C.Publ i cat i ons f orr evi ew pur posesonl y• Complete • these. (f) 50c – 20c =
(g) 10c + 5c =
w ww
(b) 10c = 5c +
. te (d) 30c – 5c = (c) 15c = 5c +
(e) 20c –
(h) 15c = (i) 20c =
+ 10c
o c (j) 25c – 5c =. che e r o t rupe(k)r s = 10c s 50c – 30c =
(f) 15c +
= 30c
(l) 5c +
+ 10c
= 35c
4. I paid 80c for an ice-cream. How much change did I get from a $1 coin?
• 84 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Solve addition and subtraction number sentences with money.
(a) 5c + 5c =
m . u
3.
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(a) 5c – 5c =
Unit 29–1 1. Multiply these. (a)
x 5 = 20
(b)
x 5 = 10
(c)
x 4 = 12
(d)
x4=4
r o e t s Bo r e p ok u S
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Teac he r
2. Give the directions needed to walk from Kelly’s house to Paul’s house.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
o c . che e r o t r s super
S2.1—Find and describe a path on a given map.
. te
m . u
Directions
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New Wave Maths for WA Book B • 85 •
Unit 29–2 1. Multiply these. (a)
x 7 = 28
(b)
x 5 = 15
(c)
x 5 = 25
(d)
x5=5
2. Continue this pattern.
(a) How many shapes does it contain? (b) What is the name of every fourth shape? (c)
ew i ev Pr
Teac he r
3.
r o e t s Bo r e p ok u Look at this pattern. S
© R. I . C.Publ i cat i ons The sixth shape is a •f orr evi ew pur posesonl y•
.
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. te
m . u
4. Draw the next two shapes.
o c . che e r o t r s super
(b) Describe the pattern.
• 86 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.4—Copy, continue and describe pictorial repeating patterns.
5. (a) Sort the beads into lots of three by drawing a line after every third bead.
Unit 29–3 1. Multiply these. (a)
x 5 = 30
(b)
x 6 = 24
(c)
x 9 = 27
(d)
x 3 = 21
2. Use shapes to cover objects in your classroom. Estimate your answer first.Talk about your findings.
r o e t s BEstimate r e oo p u k S
Answer
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Teac he r
Object
m . u
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M2.2, M2.3—Estimate, measure and compare the area of objects using informal units.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. te get better? o Did your estimates c . che e r o t Why?/Why not? r s super
R.I.C. Publications www.ricgroup.com.au
Yes
No
New Wave Maths for WA Book B • 87 •
Unit 30–1 1. Add these. (a) 4c + 2c =
(b) 5c + 3c =
(c) 6c + 5c =
(d) 4c + 3c =
25
c
r o e t s Bo r e p ok u S 30 4
0c
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Teac he r
2. How much change?
c
(a) If I bought an apple, how much change would I get from 50c?
© R. I . C.Publ i cat i ons f o rr e vi e wwould puIr po eso l y• How • much change from 50c get if Is bought an n orange?
(b) How much change from 50c would I get if I bought a banana? (c)
(a) a pear at 30c?
. te (b) a banana at 45c?
o c . che e 30 r o t r s c super (c) an orange at 35c?
35
c
(d) an apple at 20c? (e) an apple and a pear?
20
c
45
c
(f) two apples? • 88 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Calculate the amount of change needed for given amounts.
w ww
m . u
3. What change would I get from 50c if I bought:
Unit 30–2 1. Add these. (a) 6c + 1c + 2c =
(b) 2c + 2c + 2c =
(c) 1c + 5c + 2c =
(d) 2c + 3c + 1c =
2. Tick the set below which is a pattern. Explain why.
ew i ev Pr
Teac he r
(a)
r o e t s Bo r e p ok u S
(b)
(c)
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
3. Extend these patterns.
N2.4, S2.3—Identify, copy, continue and describe repeating pictorial patterns.
. te
(a)
m . u
Explanation
o c . che e r o t r s super
(b)
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New Wave Maths for WA Book B • 89 •
Unit 30–3 1. Add these. (a) 7c + 4c =
(b) 6c + 9c =
(c) 5c + 8c =
(d) 7c + 6c =
2. Work out how much it will cost to buy these items.
Canteen Menu or
Teac he r
Banana Tomato Carrot
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e t s Bo r e ok Milk up 15c S Fruit Juice 20c 25c 10c 5c
© R. I . C.Publ i c t i on +a =s •f orr evi ew pur posesonl y•
(a) Banana and carrot
+
=
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+
=
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o c . che e r o (e) Milk and carrot + t r s = super (d) Carrot, banana and milk
+
+
=
(f) Fruit juice, carrot and tomato
+
+
=
(g) Banana, tomato and milk
+
+
=
(h) Milk and two bananas
+
+
=
• 90 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Calculate amounts of money.
(c) Carrot and fruit juice
m . u
(b) Milk and tomato
Unit 31–1
r o e t s Bo r e p ok u S
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Teac he r
1. Look at the cordial in the containers in the picture.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• B
C
D
2. Circle the container you think holds the most.
3.
. t I think containere
E
m . u
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WM2.2, WM2.3, M2.1, M2.2—Work mathematically to determine which container has the greatest capacity.
A
o c . che e r o t r s super
R.I.C. Publications www.ricgroup.com.au
holds the most because
New Wave Maths for WA Book B • 91 •
Unit 31–2 1. Add these. (a) 4c + 3c + 3c =
(b) 9c + 2c + 5c =
(c) 8c + 4c + 6c =
(d) 5c + 7c + 4c =
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20 r o e t s B r e 21 22 23 24o 25o 26 27 28 29 30 p u k37 38 39 40 31 32 33 34 35 36 S
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Teac he r
2. Use this number grid to answer the questions.
41 42 43 44 45 46 47 48 49 50
(a) Colour every fifth number blue. What are the numbers you have coloured?
. te o c (d) What numbers are coloured both blue and red? . che e r o t r s super (e) What numbers are coloured both blue and yellow?
(f) What numbers are coloured both yellow and red?
• 92 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a, N2.2—Use a number grid to identify number patterns.
w ww
(c) Colour every fourth number yellow. What are the numbers you have coloured?
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(b) Colour every third number red. What are the numbers you have coloured?
Unit 31–3 1. Add these. (a) 3c + 8c + 7c =
(b) 7c + 8c + 2c =
(c) 1 + 7 =
(d) 2 + 3 =
2. Use the calendar to answer these. Sun
r o e t s Bo r e p ok u S
Mon
10
Thurs
Fri
Sat
1
2
5
6
7
8
9
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Teac he r
4
Wed
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3
Tues
© R. I . C.Publ i cat i ons •isf or r e i ethird wp ur posesonl y• (b) What the date onv the Monday?
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(c) What are the dates of the fourth full week?
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(d) What are the dates of the second and third Tuesdays?
m . u
(a) What day of the week is the 15th?
o c . (e) What day is thec first day of the month? e her r o t s super (f) What is the day and date and
M2.2—Interpret a calendar to answer questions.
of the last day of the month? (g) What day does the 7th, 14th, 21st and 28th fall on? (h) What is the day five days before the 30th? (i) What is the date three days after the second Sunday? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 93 •
Unit 32–1 1. Add these. (a) 3 + 5 =
(b) 3 + 2 =
(c) 2 + 3 =
(d) 2 + 5 =
2. How much change?
c
10c
5c
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Teac he r
s yon Cra
20
r o e c t s B 5 r 5 1 e c oo p u k S on Cray on Cray on a r C y on Cray on Cray
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(a) How much change from 20c
will you get if you buy a sharpener? (b) How much change from 20c
. te o c (d) What items can be bought for less than 20c? . che e r o t r s super will you get if you buy an eraser?
(e) What item gives you the least change from 20c? (f) What items give you the most change from 20c? • 94 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Calculate the amount of change needed for given amounts.
w ww
(c) How much change from 20c
m . u
will you get if you buy a single pencil?
Unit 32–2 1. Add these. (a) 5 + 2 =
(b) 5 + 9 =
(c) 4 + 7 =
(d) 4 + 6 =
r o e t s Bo r e p ok u S Out of Inoutandof In water water
water
ew i ev Pr
Teac he r
2. Draw lines to show where these items belong in the Venn diagram.
w ww
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
3. List sports that are played in water and sports that are played on land.
. te
C&D2.2, C&D2.4—Record data in a Venn diagram. Collect and record data in a table.
Water Sports
Land Sports
o c . che e r o t r s super
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 95 •
Unit 32–3 1. Add these. (a) 7 + 1 =
(b) 7 + 9 =
(c) 6 + 9 =
(d) 6 + 4 =
r o e t s Bo r e p ok u S
3. Exchange these coins for $1 coins.
ew i ev Pr
Teac he r
2. Change the money into 20c coins.
How many 20c coins?
w ww
How many $1 coins?
o c . Trade these coins for 50c coins. ch e r er o t s super
How many 50c coins? • 96 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.1a—Exchange amounts of money into given values.
4.
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 33–1 1. Add these. (b) 9 + 8 =
(c) 8 + 8 =
(d) 8 + 3 =
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
(a) 9 + 1 =
w ww M2.2—Draw shapes on a grid with given perimeters.
. 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
2. Use the geoboard to make rectangles or squares that each have a perimeter of 14 units. As each different shape is made draw it on the grid above. Use a different colour for each new shape. How many different shapes can you make? If you are having difficulties making a rectangle with a perimeter of 14 units start with one that has a side of 1 unit wide and 6 units long.
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 97 •
Unit 33–2 1. Add these. (a) 9 = 6 +
(b) 7 = 4 +
(c) 3 = 1 +
(d) 4 = 3 +
2. Circle the number of 5c coins needed to make 20c.
Teac he r
ew i ev Pr
3.
r o e t s Bo r e p ok u S Draw a box around the number of 50c coins needed to make $1.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
4. What coin can you trade these three coins for?
. te
coin.
o c . che e r o t r s super You need
10c coins to make 50c.
6. What coin can you trade for these five coins?
Trade for a • 98 • New Wave Maths for WA Book B
coin.
R.I.C. Publications www.ricgroup.com.au
N2.1a—Identify the number of coins needed to make given values.
5. How many of these 10c coins do you need to make 50c?
m . u
w ww
Trade for a
Unit 33–3 1. Add these. (a) 11 = 2 +
(b) 11 = 5 +
(c) 10 = 7 +
(d) 10 = 2 +
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
m . u
3. Write the names of the hands’ owners in order from shortest to longest.
w ww
M2.2—Measure and compare the length of objects using a ruler. Use informal units to compare the perimeter and area of given 2-D shapes.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Draw around your hand in the space below. Measure its length with your ruler. Compare the length of your hand with five classmates.
4.
. te to find the area and perimeter of these o (a) Use 1-cm cubes two shapes. c . ch e Shape 1 Shape 2 r er o st super Area
Area
Perimeter
Perimeter
(b) How does the area compare with the perimeter?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 99 •
Unit 34–1 1. Add these. (a) 13 = 7 +
(b) 13 = 9 +
(c) 12 = 4 +
(d) 12 = 5 +
2. Change these coins. (c) Can be changed r o e t s Bo r e c. p for two o u k coins. S
(a) Can be changed
(b) Can be changed
(d) Can be changed
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• for $
.
w ww
3. Share these coins evenly among three people. (a) Each person gets
(c) Each person
. gets c. te c. o c . che e r o t r s super
(b) Each person gets
(d) Each person c.
• 100 • New Wave Maths for WA Book B
gets
c.
R.I.C. Publications www.ricgroup.com.au
N2.1a—Exchange amounts of money for a single coin. Share amounts of money equally.
c.
m . u
for
c
ew i ev Pr
Teac he r
for
Unit 34–2 1. Add these. (a) 16 = 8 +
(b) 15 = 9 +
(c) 14 = 7 +
(d) 14 = 5 + Birthday Months of Class Members
o e 9r t s B r e oo 8 p u k 7 S 6 Number of Students
(a) In what month are the most birthdays?
10
5 4 3 2 1
ew i ev Pr
Teac he r
2. Colour a square on the grid to show the birthday month for each person in your class.
Jan. Feb. Mar.t Apr. Jun. Jul. Aug. Sep. Oct. Nov. Dec. © R. I . C.Pub l i ca i oMayns Month •f orr evi ew pur posesonl y•
(b) Which months, if any, have the same number of birthdays?
Number of times thrown
C&D2.3, C&D2.4, C&D2.1—Collect, record and analyse data.
5 4 3
w ww
6+
. te
m . u
3. Roll a die 15 times. Colour a square to show the number each time it comes up. (a) Which number came up most often?
o c . che e r (b) Which number came up least o t r s super often?
2
(c) What is the difference between these numbers?
1
Die number R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 101 •
Unit 34–3 1. Add these. (a) 3 +
= 10
(b) 5 +
=9
(c) 2 +
=5
(d) 1 +
=4
2. Add these coins together.
+
+
+
=
=
c
c
$5
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(d)
+
=$
w ww
m . u
(c)
+
5 $ 5$
(b)
ew i ev Pr
Teac he r
(a)
r o e t s Bo r =e c p ok u S
3. Write the value of the missing coins which will make these number sentences true.
o c . c e (a) + c= her r o t s super (b)
(c) • 102 • New Wave Maths for WA Book B
+
c=
+
c= R.I.C. Publications www.ricgroup.com.au
N2.1a—Calculate amounts of money.
. te
Unit 35–1 1. Add these. (a) 7 +
= 15
(b) 8 +
= 16
(c) 6 +
= 12
(d) 9 +
= 13
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Complete this grid pattern.
w ww
S2.3, N2.4—Identify, copy, continue and describe repeating pictorial patterns.
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3.
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 supine r Describe the pattern you have completed the above grid.
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 103 •
Unit 35–2 1. Take these. (a) 5 – 2 =
(b) 9 – 2 =
(c) 9 – 1 =
(d) 6 – 1 =
2. Use the pictures to work these out.
r o e t s Bo How many children r e p okcan share it equally? u S
ew i ev Pr
Teac he r
(a) A pizza is cut into pieces like this.
(b) A cake is cut into pieces like this.
How many children can have one piece each?
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
m . u
(c) A block of chocolate is broken into pieces like this.
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3.
o c . che Work these out. e r o t r s (a) One person has two legs.s uper How many legs do four people have altogether?
(b) One person has two eyes. How many eyes do ten people have altogether? (c) One person has two arms. How many arms do eight people have altogether? (d) One hand has five fingers. How many fingers do three hands have altogether? • 104 • New Wave Maths for WA Book B
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N2.1b, N2.2—Identify equal shares in pictures of objects. Count in multiples.
w ww
How many children can share it equally?
Unit 35–3 1. Take these. (a) 12 – 4 =
(b) 6 – 4 =
(c) 5 – 3 =
(d) 7 – 3 =
r o e t s Bo r e p ok u S
Capacity
Area
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
w ww
M2.2—Use informal units to measure and compare the capacity and area of different containers. Measure and order the lengths of similar objects in centimetres.
Container
ew i ev Pr
Teac he r
2. Collect three paper containers of different sizes; for example, a paper cup, a shoe box and a cereal packet. Fill the containers with sand or rice. Pour each one, in turn, into a glass jar.You may have to fill the jar a few times before the container is empty. Make a list from smallest to largest that shows how much each container holds (capacity) in glass jars. Open the containers out and use either flats, longs or cubes to find the area of each. Is it the same order as for capacity?
3. In groups of four or five, measure the length of your arm. Make a list to show the length of an arm of each group member. Write them in order from longest to shortest.
Longest
. te o Name Length (cm) c . che e r o r st super
Shortest R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 105 •
Unit 36–1 1. Take these. (a) 14 – 6 =
(b) 8 – 6 =
(c) 12 – 5 =
(d) 9 – 5 =
2. Count these coins to get the total.
=
(b)
=
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
(d)
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=$
o c . che e r o t r s super =$
(g)
• 106 • New Wave Maths for WA Book B
=$
R.I.C. Publications www.ricgroup.com.au
N2.1a—Calculate amounts of money, counting in multiples.
(f)
=$
w ww
(e)
c
c
m . u
(c)
ew i ev Pr
Teac he r
(a)
r o e t s Boc r e = p ok u S
Unit 36–2 1. Take these. (a) 9 – 8 =
(b) 14 – 8 =
(c) 11 – 7 =
(d) 10 – 7 =
2. Mark on the graph the number of each shape shown.
4 3 2
(b) How many squares and triangles in total?
© R. I . C.P(c) ub l i cat i ons How many shapes are there altogether? •f orr evi ew pur posesonl y•
w ww
3. Show on the graph the number of shapes that have straight sides, curved sides or both.
. te
m . u
Number of this shape
5
1
C&D2.2, C&D2.3, C&D2.4—Classify, record and analyse data.
ew i ev Pr
Teac he r
6
r o e t s Bo r e p ok u S (a) How many more circles than triangles?
Straight
o c . ch e (a) How many shapes have r Both e o t r s super straight sides? Curved
1
2
3
4
5
6
7
(b) How many shapes have straight sides only?
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 107 •
Unit 36–3 1. Solve these. (a) 16 + 4 =
(b) 12 + 5 =
(c) 12 – 9 =
(d) 17 – 9 =
2. Use the coloured circles to draw different patterns on this page. You many use counters to make the patterns first, then draw and colour them in the space provided.
Teac he r
My Patterns
ew i ev Pr
r o e t s Bo r e ok 4 red circlesp 4 green circles 4 blue circles u S
o c . che e r o t r s super
• 108 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
N2.4, WM2.2—Create a pictorial number pattern using given guidelines.
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 37–1 1. Add these. (a) 18 + 9 =
(b) 23 + 6 =
(c) 8 + 15 =
(d) 17 + 6 =
2. You are in TA 4. Use a coloured pencil to show the path you would follow to go to the office.
r o e t s Bo r e p ok u S
Teac he r
ew i ev Pr
3. Choose a different colour. You are in TA 16 and you need to go to the canteen, the library, the TV room and the medical room. Which path would you take?
North
PP1
Plan of School
PP2
Covered Area
TA 3
TA 2
TA 1
TA 5
TA 6
TA 7
TA 8
w ww Oval
. te
TA 9
TA 10
TA 11
o c . che e r o t r s super Small Teaching Area Music Room
Practical Area
Staff Room
Store Room Practical Area TA 13
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Office
Teachers Car Park
Medical Room
Seminar Room S2.1—Find and describe paths on a given map.
TA 12
m . u
© R. I . C.Publ i cat i ons Practical Area •f orr evi e wp ur posesonl y•Canteen TA 4
Library Small Teaching Area TA 14
TA 15
TV Room
TA 16
New Wave Maths for WA Book B • 109 •
Unit 37–2 1. Add these. (a) 4 +
+1=8
(b) 3 +
+1=7
(d) 3 + 4 + 3 =
(c) 2 + 2 + 5 =
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Three children each had two pet dogs. Some of the dogs ran away. Look at the picture and answer the questions.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
. teknow the number of dogs that ran away. o (c) Tell how you c . che e r o t r s super
• 110 • New Wave Maths for WA Book B
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WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
w ww
(b) How many dogs were there to start with?
m . u
(a) How many dogs ran away?
Unit 37–3 1. Multiply these. (a) 2 x 3 =
(b) 2 x 10 =
(c) 1 x 5 =
(d) 1 x 3 =
2. What activities will you be doing on a school day when the hands of the clock show these times? 11 12
1 2
10 9
4
8
7
6
5
11 12
1
2
10
9
3
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• 4
8
7
6
5
11 12
1
9
w ww
3
4
8
7
6
5
11 12
1
. te 2
10 9
3 4
8 7
6
5
11 12
1
m . u
2
10
M2.2, WM2.1—Identify and describe activities at different times of the day.
ew i ev Pr
Teac he r
3
r o e t s Bo r e p ok u S
o c . che e r o t r s super
2
10 9
3 4
8 7
6
5
R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 111 •
Unit 38–1 1. Multiply these. (a) 4 x 10 =
(b) 4 x 2 =
(c) 3 x 4 =
(d) 3 x 1 =
Teac he r
r o e t s Bo r e p ok u S
ew i ev Pr
2. Draw a picture below to show how many hats are left if seven children collect his or her hat from the ten hats on the rack.
o c . che e r o t r s super
• 112 • New Wave Maths for WA Book B
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WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 38–2 1. Multiply these. (a) 2 x 9 =
(b) 3 x 7 =
(c) 5 x 3 =
(d) 5 x 10 =
2. Place the shapes below correctly into the Venn diagram. Use the numbers in the shape to show where they go.
6
7
straight edges
8
straight and curved edges
9
5
ew i ev Pr
Teac he r
1
r o e t s Bo4 r 2 e 3 p ok u S
10
curved edges
w ww
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
C&D2.2, C&D2.4—Classify and record data in a Venn diagram and tree diagram.
3. Group the shapes above to show where they fit into this diagram.
. te
o c . c e r straight h edges er o t s super
straight edges only
straight and curved edges
1, curved edges
curved edges only
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New Wave Maths for WA Book B • 113 •
Unit 38–3 1. Multiply these. (a) 3 x
= 12
(b) 3 x
=9
(c) 2 x
= 20
(d) 2 x
=6
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Karen and Anthony counted the counters to see how many there were altogether. Karen counted 26 but Anthony counted 25. Show who was correct in the space below and show how you might make the counting easier.
o c . che e r o t r s super
• 114 • New Wave Maths for WA Book B
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WM2.2, WM2.4—Apply mathematical reasoning to verify the correct answer to a problem.
w ww
. te
m . u
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Unit 39–1 1. Multiply these. (a) 4 x
=8
(b) 4 x
= 16
(c) 5 x
= 20
(d) 5 x
=5
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Draw a picture of your classroom to show where the desks and the teacher’s table are.
w ww S2.1—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•
o c . che e r o t r s super
(a) Are all the desks the same size?
Yes
No
(b) If the answer is no, which one is the largest? R.I.C. Publications www.ricgroup.com.au
New Wave Maths for WA Book B • 115 •
Unit 39–2 1. Multiply these. (a)
x2=8
(b)
x2=4
(c)
x 7 = 21
(d)
x 6 = 30
2. Answer the following questions about your classroom.
r o e t s Bo r e p ok u S
(b) How many students are away today?
(f) How many boys are there in your class?
ew i ev Pr
Teac he r
(a) How many students are normally in your class?
(g) How many girls are there in your class?
© R. I . C.Publ i ca t i oare ns (h) Which there more of in class, boys or girls? •f orr evi ew pur poyour ses onl y•
w ww
(d) If the teacher has 12 pads, how many more will be needed to give one new pad to each student in the class?
. te
Girls
m . u
Boys
How many more?
o c . che e r o t r s super
(e) If four students in the class did not borrow library books, how many students did borrow library books?
• 116 • New Wave Maths for WA Book B
(i) How many desks will you need in your class if each desk seats two students?
(j) Students are seated in groups of four desks with two students to a desk. How many students in each group?
R.I.C. Publications www.ricgroup.com.au
WM2.2, N2.3—Solve number problems using the correct operation.
(c) How many students are present today?
Unit 39–3 1. Multiply these. (a)
x4=4
(b)
x 4 = 16
(c)
x3=9
(d)
x3=6
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Find the approximate area of the shapes on this page. Use counters first, then cubes.
Area in counters
Area in counters
Area in cubes
Area in cubes
. te
Area in cubes
m . u
Area in counters
w ww
M2.1, M2.2—Use informal units to measure the area of given shapes, then explain which one was the more effective unit.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
o c . chtoe (a) Tick which is better use. counters r e o t r s s r u e p (b) Why do you think this is?
R.I.C. Publications www.ricgroup.com.au
cubes
New Wave Maths for WA Book B • 117 •
Unit 40–1 1. Multiply these. (a)
x 4 = 28
(b)
x 8 = 24
(c)
x 5 = 10
(d)
x 5 = 15
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
2. Find out how many encyclopaedias are missing from the bulk loan. The pile on the left shows the books that were borrowed from the library. The pile on the right shows the books that were returned to the library at the end of the loan period. Borrowed
A B C D E F G–H I–K L M N
Returned
B I –K S X–Z R M A D N
O
T U –W X–Z
w ww
m . u
© PR . I . C.Publ i cat i ons –Q R S v •f orr e i ew pur posesonl y•
(a) How many books are missing?
. te
o c . che e r o t r s super
• 118 • New Wave Maths for WA Book B
R.I.C. Publications www.ricgroup.com.au
WM2.2, N2.3—Apply mathematical reasoning to solve a problem.
(b) Explain how you found the number of missing books.
Unit 40–2 1. Add these. (a) 5c + 9c =
(b) 8c + 8c =
(c) 2c + 5c =
(d) 4c + 6c = 10
9o r e t s Bo r e 8 p ok u 7 S
ew i ev Pr
Teac he r
2. Use 1-cm cubes to make a block graph that shows the pets owned by students in your class.
Number 6 of 5 Pets 4 3
© R. I . C.2Publ i cat i ons •f orr evi ew1pur posesonl y• Cat
w ww
(a) Which pet is the most popular?
. te
Bird Fish Type of Pet
Mouse
m . u
Dog
o c . Yes No c e he (c) Are there more cats than dogs? r o t r s super C&D2.3, C&D2.4—Collect, record and analyse data.
(b) How many pets are there altogether?
(d) Which is the least popular pet?
(e) How many mice are kept as pets? (f) How many birds are kept as pets? (g) How many cats and dogs are kept as pets?
R.I.C. Publications www.ricgroup.com.au
+
=
New Wave Maths for WA Book B • 119 •
Unit 40–3 1. Add these. (a) 4c + 2c + 3c =
(b) 6c + 3c + 8c =
(c) 1c + 4c + 4c =
(d) 5c + 3c + 6c =
2. Find the errors in the patterns on this page and redraw or rewrite them correctly.
r o e t s Bo r e p ok u S
ew i ev Pr
Teac he r
(a)
(b)
. te
(d)
o c . che e r o t r s super
• 120 • New Wave Maths for WA Book B
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WM2.4—Identify errors in repeating pictorial number patterns.
w ww
(c)
m . u
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