n ca t Wo r k t e xt x
1B
for le arne arners 6 - 7 year s o l d
Copyright © Blue Ring Media Pty Ltd Published under license by Regal Education Inc for the Middle East and Northern Africa. frica.
Re ga le du ca tio n
This book or parts thereof may not be reproduced in any form, stored in any retrieval ieval system, or transmitted in any form by any means – electronic, mechanical, photocopy, recording, cording, g, or otherwise otherwis – without prior written permission of the copyright owner. First edition 2021 This edition is published by Regal Education Inc. ISBN 978-1-953591-03-6
Regal Education Inc. 10 Pienza, Irvine, CA 92606, United States www.regaleducation.org
ii
Let’s Do Mathematics
al ed uc ati on
Let’s Do Mathematics is a series covering levels K-6 and is fully aligned to o the United States Common Core State Standards (USCCSS). Each level consists of two books boo (Book A and Book B) and combines textbook-style presentation of concepts oncepts pts as well as workbook practice.
Central to the USCCSS is the promotion of problem-solving skills ls and reasoning. Let’s Do Mathematics achieves this by teaching and presenting ng g concepts through throu a problem-solving based pedagogy and using the concrete-pictorial-abstract pictorial-abstract torial-abstract ((CPA) approach. Learners acquire knowledge and understanding a ng off concepts through thr th guided progression beginning with concrete examples and experiences which then w flow into pictorial representations and finally mastery at the and symbolic level. e abstract an a This approach ensures that learners develop a fundamental understanding of concepts damental ental understa underst rather than answering questions by learned procedures edures es and algorithms. algorit Key features of the series include:
Anchor Task
1
ber Bonds Numb
er Bonds mber Making Numb
Open-ended activities serve as the starting point for understanding new vities concepts. Learners engage in activities e and discussions to form concrete experiences before the conceptt is formalized.
Anchor Task Ancho
3
2
Let’s Learn n
Adding 3 Numbers
We can use doub les to help add 3 numbers. How many cupca kes are there in all?
Let’s Learn
Concepts are presented sented in a clear and a colorful manner.. Worked rked problems problem provide learners step-by-step ers with ith guided step-by ste progression through Series gh examples. Ser mascots provide rovide de guidance through throug throu helpful comments new nts and nd observations when w concepts pts are e introduced. introduce
We can add 3 numb ers in any order. How many cubes are there in all?
6
2
6
Let’s put together and count.
Double 6 is 12. Now add 3.
6
3
3
2+6+3=8+3 = 11 There are 11 cubes
6 + 6 + 3 = 12 + 3 = 15 There are 15 cupca kes altogether.
11
We can make 10 to help add 3 numb ers. How many fruits are there altogether?
altogether.
You can use a number line to help you add.
8 4
8 and 2 make 10. Now add 4.
2 1 212
2
3
4
5
6
7
8
9
10
11
12 13
8 + 4 + 2 = 10 + 4 = 14
213
iii
Let’s Practice
r of pencils. Fill in the 2. Find the total numbe
Let’s Practice 1.
blanks.
(a)
Fill in the blanks. (a)
Learners demonstrate their understanding of concepts through a range of exercises and problems to be completed in a classroom environment. Questions provide a varying degree of guidance and scaffolding as learners progress to mastery of the concepts.
.
ones is
.
ke make
30 and
pencils in all.
Re ga le du ca tio n
ten and
There are
(b)
(b)
.
ones is
ten and
(c)
ones is
ten and
.
pencils in all. pen
e There are
ones is
ten and
.
make
nd and
(d)
.
17
At Home
16
1.
Comp mplet lete the he numb n mber er story. s ry.
2. Complete the number storiess.
At Home
Further practice designed to be completed without the guidance of a teacher. Exercises and problems in this section follow on from those completed under Let’s Practice.
(a) (a There are
toys.
are on the shelf.
are on the floor.
There are
ducks.
(b) There are
ducks are re in the e water.
toys.
toys are teddy bears
.
duckss are on the grass
.
toys are dolls.
36
Hands On
37
Play this game in pairs.
Hands On
Learners are encouraged to ‘learn by doing’ through the use of group activities and the use of mathematical manipulatives.
1.
counte Each player puts a counter
on ‘Start’.
Move your counter the 2. Take turns in rolling a dice. dice the dice. umberr of spaces shown on numbe n. If you answer wer the subtraction equatio 3. Answer start. back to the st ncorrectly, move your counter incorrec is the winner! The first player to the finish
15 – 8
2–6 112
15 – 9
13 – 9
16 – 9
11 – 3
13 – 5
11 – 6
14 – 5
14 – 6
15 – 7
16 – 8
17 – 8
14 – 6
2–5 112
18 – 9
Solve it!
14 – 8
11 – 8
13 – 7
15 – 8
12 – 4
17 – 9
1.
12 – 9
Fill in the missing numb ers.
11 – 7
(a)
16 – 7
Look! 8 + 1 = 9 W What’s the rule?
11
259
Solve It!
2
9
1
1
8
(b)
Activities that require learners earners ers to apply logical lo reasoning and problem-solving. are often em-solving. solving. Problems Proble posed which do not for solving ot have e a routine strategy strate s them. Learners are encouraged ncouraged to think creatively and apply a range of problem-solving roblem-solving heuristics. heu
((c))
9
7
3
2
10
1
5
5
(d)
0
(e)
6
14
2
2
5
8
204
Looking king Back
Consolidated olidated practice w where learners demonstrate on a monstrate their understanding underst und range nge of concepts taught taugh within a unit.
3. Compare the sets. Fill in the blanks.
Looking Back
1.
Set B
Set A
Count on in tens.
40
50
70
80
60
90
dots.
Set A has
tens is less than
2. Count and complete.
Set B has
dots.
tens.
<
4. Check the smaller number. (a)
53
55
(b)
8
17
5. Write > or < to compare the numbers.
and
There are
(a)
22
.
(c)
9
pencils in all.
(e)
53
make
12
91
50
14
(b)
4
(d)
43
47
(f)
70
83
45
44
iv
Re ga le du ca tio n
Contents 6 Numbers to 120
Counting in Tens to 120 Counting to 120 Place Value Comparing and Ordering
7 Addition and Subtraction to 100 Adding Without Regrouping Adding With Regrouping grouping ping Subtracting Without Regrouping
8 Length
Comparing Length Measuring Length h
9 Time
e to the th t Hour our Telling Time me to o the Half Ha H Hour Telling Time
10 Shapes
hapes pes 2D Shapes omparing aring and Sorting So Comparing Shapes Equal ual Parts Composite mposite 2D Shapes Composite 3 Composit 3D Shapes
Data and Graphs 11 D Tall Ch Tally Charts Picture ur Graphs
2 2 12 25 34
46 46 66 74
92 92 1321141114 140 140 166
198 198 216 222 232 242
250 250 260 v
Numbers to 120
Re ga le du ca tio n
6
Counting in Tens to 120 Anchor Task
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 6
27
28
29
30
31
32
33
34
35 5
36
37 3
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99 100
101 10 102 103 104 105 106 107 108 109 110 111 112 11 113 114 115 116 117 118 119 120
2
Let’s Learn
Re ga le du ca tio n
In 1 box there are 10 pencils.
So, 10 0 ones is ual to 1 te equal ten.
10 ones
1 ten
Let’s count in tens.
10 ten
1 ten
20 twentyy
2 tens
30 tthirty hirty
3 tens
40 forty
4 tens
50 fifty
5 tens
3
Re ga le du ca tio n
60 sixty
6 tens
770 0 seventy seventy se
7 tens
80 eighty
8 ten tens
90 ninety
9 tens
4
Re ga le du ca tio n
100 ed one hundred
10 tens
111 1110 hundred and ten oone ne h u nd
11 tens
120 one hundred and twenty
12 tens
There are 2 packs of o 12 pencils pencils.
12 tens are 120. There are 120 pencils.
5
Let’s Practice Count.
Re ga le du ca tio n
1.
(a)
(b)
6
Re ga le du ca tio n
2. Count the blocks. Write in numbers and words. (a)
(b)
(c)
(d)
(e)
7
3. Count. Fill in the missing numbers.
Re ga le du ca tio n
(a)
20
30
40
60
70
80
(b)
(c)
50
60
90
100
110
7 70
80
90
(d)
(e)
8
70
n
4. Count by tens. Fill in the missing numbers.
20
80
R
90
40
9
At Home Count and write the number.
Re ga le du ca tio n
1.
10
Re ga le du ca tio n
2. Circle to show 80 cubes.
3. Circle to show 60 dots.
4. Circle to show blocks. w 110 blo blocks
11
Counting to 120
Re ga le du ca tio n
Let’s Learn
How many beads are there?
10
6
10 and 6 make 16. There are 16 beads. eads. s
40
4
40 and 4 make 44. There here are 44 beads. b
50
1
50 and 1 make mak ke 51. There The are a 51 beads.
70
70 and nd 3 m make 73. There are 73 beads.
12
3
Re ga le du ca tio n
How many pencils are there?
60 60 and 5 make 65. There are e 65 pencils. penc
80
5
7
80 and a 7 make m 87. There are 87 pencils.
13
Re ga le du ca tio n
How many cubes are there?
100
6
e 106 06 cubes. 100 and 6 make 106. There are
110
110 and d 8 make 118. There Th are 118 cubes.
14
8
Re ga le du ca tio n
Count to find the total. Count the tens, then the ones. es
10
20
30
31
32
33
34
There are 34 cubes in all.
10
20
30
40
50 0
51
52
53
54
55
There are 55 cubes bes in all.
10
20
30
40
50
60
70
80
81
82
There re are a 82 cubes in all.
15
Let’s Practice Fill in the blanks.
Re ga le du ca tio n
1.
(a)
ten and
ones is
.
ten and
ones is
.
ten and
ones is
.
ten and
ones is
.
(b)
(c)
(d)
16
2. Find the total number of pencils. Fill in the blanks. ks
Re ga le du ca tio n
(a)
30 and
There are
make
.
pencilss in all.
(b)
and an
are There a
make
.
pencils in all.
17
3. Fill in the blanks.
Re ga le du ca tio n
(a)
and
make
.
and
make
.
and a
make
.
(b)
(c)
18
4. Count to find the total. Start with the tens.
Re ga le du ca tio n
(a)
,
,
There are
,
,
,
,
,
pencils. s.
(b)
,
There are
,
,
,
cubes.
19
5. Fill in the blanks. .
(b)
and d 6 make 16. 16
Re ga le du ca tio n
(a) 20 and 1 make
(c) 30 and
make 38.
(e) 70 and 5 make
(g) 80 and
(f)
make 81.
(i) 100 and 4 make
(k) 110 and
.
(d) 40 and nd 7 make make
.
make 112. 2.
and 9 m make 89.
(h) h) 90 and 0 m make
(j))
.
and a 5 make 95.
(l) 100 and 3 make
6. Write the numbers in n words. ords.
20
.
(a) 46
.
(b) 75
.
(c) 91
.
(d) 64
.
(e) 111
.
(f) 108
.
.
At Home Fill in the blanks.
Re ga le du ca tio n
1.
(a)
ten and
ones is
.
ten and
ones is
.
ten and
ones is
.
ten and
ones is
.
(b)
(c)
(d)
21
2. Find the total number of eggs. Fill in the blanks.
Re ga le du ca tio n
(a)
40 and
There are
make
.
eggs in all.
(b)
and an
There are
22
make
eggs in all.
.
3. Fill in the blanks.
Re ga le du ca tio n
(a)
and
make
.
and
make ak
.
and
make
.
and
make
.
(b)
(c)
(d)
23
Re ga le du ca tio n
4. Match.
twenty-five ve
venty-eight nty-eight seventy-eight
hundred and six one ne h hu
forty-four
ninety
sixty-three
24
Place Value
Re ga le du ca tio n
Let’s Learn
How many marbles are there? Count the bags of 10 and the ones.
Tens Ones 3
30
7
7
3 tens and 7 ones make 37. There are 37 marbles.
Tens Ones 6
60
6
6
6 tens and 6 ones o make 66. There are 66 m marbles.
25
Re ga le du ca tio n
How many tens and ones are there? How many cubes are there in all? Tens One Ones 5
3
53 = 5 tens 3 ones
There are 53 cubes altogether.
Tens Ones 7
5
75 = 7 tens 5 ones
There are 75 cubess altogether. gether.
Tens Ones 9
99 9 9 = 9 tens tens 9 ones
There are re 99 9 cubes altogether.
26
9
Let’s Practice Find the number shown in the place value chart. hart.t.
Re ga le du ca tio n
1.
(a)
Tens
Ones
(b)
Tens
Ones es
(c)
Tens
Ones
(d)
Tens Ten
Ones
27
2. Complete the place value chart and fill in the blanks. la
Re ga le du ca tio n
(a)
Tenss Ones
tens and
There are
ones make ake e
pencils in n all.
(b)
Tens Ones
tens ens and
There re are
ones make
.
marbles in all. ma
(c)
Tens Ones
tens and te
There her are
28
.
ones make
cubes in all.
.
Write the place values of the numbers shown. (a)
(b)
Re ga le du ca tio n
3.
45
19
Tens Ones
(c)
Tens Ones O
(d)
96
57
Tens Ones
(e)
Tens Ones
(f)
5
Tens Ones Ten
84
Tens Ones
29
Hands On
1.
ca tio n
Play this game in groups of 3 or 4.
e. Player 1 points to a number on the next page.
2. Players 2, 3 and 4 race to show the number umber using base ten blocks.
Re g
Show the number 32.
he first irst player to show the correct number is the 3. The winner and points poin to the next number.
30
2
3
4
5
6
7
8
9
10
Re ga le du ca tio n
1 11
12
13
14
15
16
17
18
19
2 20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
7 37
38
3 39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56 5
57
58
59
60
61
62
63
64
5 65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99 100
101 102 10 103 104 10 105 106 107 108 109 110 1111
112 12 113 114 115 116
117 118 119 120
31
At Home Find the number shown in the place value chart. hart.t.
Re ga le du ca tio n
1.
32
(a)
Tens
Ones
(b)
Tens
Ones
(c)
Tens ens
Ones
2. Match.
Re ga le du ca tio n
Tens Ones 3
8
es 4 tens 6 ones
Tens Ones 6
4
7 tens 1 o one
Tens Ones 4
6
3 tens 8 ones
Tens Ones 7
1
6 tens 4 ones
Tens Ones 9
9
1 ten 7 ones
Tens O Ones
9 tens 9 ones
1
7
33
Comparing and Ordering
Re ga le du ca tio n
Let’s Learn
Compare the numbers. Start by comparing the e tens. Tens
Ones
Tens
Ones
4
3
3
6
ens. 4 tens is greater than 3 tens. So, 43 is greater than 36. 6.
We can a also write:
43 > 36
>m means ‘greater than’
en both We use = when sides are the he same.
We use > when the left side is greater than the right side.
34
Compare the numbers. Start by comparing the tens. ns
2
Ones
Tens
Ones
ed uc ati on
Tens
9
1
2
1 ten is less than 2 tens. So, 12 is less than 29.
We can an also write: write
12 < 29
< means ans ‘less than’
Equal to:
=
We can use these 3 symbols to compare numbers. omp
Greater er than: han: > <
Re
Lesss than: han:
35
Re ga le du ca tio n
Compare the numbers represented by the cubes.
68
Compare the tens first.
Both numbers have 6 tens. ns. So, we compare the he ones o s next. next 8 ones is greater ter than 4 ones. ones on So, 68 is greater reater ter than 64. 6 68 > 64 4
6 64 is less than 68. 64 4 < 68
36
6 64
Let’s Practice Check the set that represents the greater number. umber. ber. (a) Set A Set B
Re ga le du ca tio n
1.
(b)
Set L
Set et M
(c)
Set C
Set D
(d)
Set P
Set Q
37
Re ga le du ca tio n
2. Compare the numbers in the place value charts ts and fill in the blanks. (a)
Tens Ones 2
Tens Ones
7
1
7
tens is greater than
So,
ten.
is greater than
.
>
(b)
Tens Ones 5
Tens Ones On
9
8
3
tens is less than
So,
tens.
is less than th
.
<
(c)
Tens Ones 9
2
Tens Ones 8
tens t is greater than >
38
9
tens.
3. Circle the greater number. (b)
Re ga le du ca tio n
(a)
(c)
(e)
35
45
56
48
77
87
(d)
(f)
19
3
81
85
94
99
4. Check the smaller number. ber. (a)
22
33 3
b) (b)
9
65
(c)
70
71
(d)
88
82
5. Write te > or < to compare com the numbers. (a)
36
(c)
6
(e)
92
12
16
95
(b)
29
48
(d)
54
47
(f)
75
57
39
At Home Compare the sets. Fill in the blanks.
Re ga le du ca tio n
1.
(a)
Set A
Set B
Set A has
marbles. rbles. es. Set B h has
tens is greater eater er than
marbles.
tens.
>
(b)
Set A
Set B
Set A ha has
dots.
tens is less than <
40
Set B has tens.
dots.
Re ga le du ca tio n
2. Compare the numbers. Circle the correct answers. (a)
60
52
Which number has more tens? 60
52
same
Which number is greater? 60
(b)
52
42
ame me same
48
Which number has more tens? 42
48
sa same
o on Which number has more ones? 42
48
same
mbe is smaller? mb small Which number 42
(c)
4 48
94
same
93
Which ich numb e has more tens? number 94
93
same
Which n num number has more ones? 94
93
same
Which number is greater? W 94
93
same 41
Re ga le du ca tio n
3. Write > or < to compare the numbers in the place value charts. (a)
Tens Ones 3
(b)
Tens Ones 1
(c)
7
Tens Ones 9
42
2
Tens n One Ones 8
(f)
9
Tens O Ones 7
(e)
1
Tens Ones 6
(d)
2
1
Tens Ones 2
3
Tenss Ones 3
0
Tens ens Ones 7
1
Tens Ones 7
5
Tens Ones 8
8
Tens Ones 9
0
Hands On
1.
ed uc ati on
Play this game in groups of 3 or 4.
nd 100. 00. Player 1 thinks of a number between 1 and
2. Players 2, 3 and 4 take turns in asking g ‘greater than’ tha and mber. er. ‘less than’ questions to find the number. o’. 3. Player 1 can only answer ‘yes’ or ‘no’.
he number is the winner! 4. The first person to guess the
Is it greater than 50?
Is it less than 55?
Is it 51?
Yes!
43
Looking Back Count on in tens.
Re ga le du ca tio n
1.
40
50
60
70
80
90
2. Count and complete.
and
There ere are
44
make
pencils in all.
.
3. Compare the sets. Fill in the blanks. Set B
Re ga le du ca tio n
Set A
dots.
Set A has
Set B has as
tens is less than
dots.
tens.
<
4. Check the smaller number. ber. (a)
55
53 3
( (b)
17
8
5. Write > or < to compare comp the numbers. (a)
22
(c) c)
9
(e)
53
12
91
50
(b)
4
14
(d)
43
47
(f)
70
83
45
ion
7
Addition and Subtraction to 100
Adding Without Regrouping Anchor Task
46
47
Let’s Learn
Re ga le du ca tio n
Find 30 + 20.
3 tens + 2 tens = 5 tens 30 + 20 = 50
Count on byy tens on ber line! the number
10 20 30 40 50 60 70
Find 50 + 40.
5 tens + 4 tens enss = 9 tens 50 + 40 = 90
40 50 60 70 80 90 100
48
Tens Ones
5 + 4 9
0 0 0
Re ga le du ca tio n
Find 40 + 28.
First, add the tens.
60 + 8 = 68 So, 40 + 28 = 68
4 tens + 2 tens ns = 6 tens ten 40 + 20 0 = 60
Then add the ones to the tens.
Add 45 and 40.
4 tens + 4 tens = 8 tens ten 40 + 40 = 80 80 + 5 = 85 o, 45 + 40 = 85 So,
Tens Ones
4 + 4 8
5 0 5
35 45 55 65 75 85
49
Find 54 + 3.
Re ga le du ca tio n
Count on 3 ones from 54.
55
56
57
54
54 + 3 = 57
Find 35 + 4.
answ by answe y adding ad We can find the answer the ones and tens. 35 + 4 = 39
30
You can also add ad like this.
5
Tens Ones
5+4= 9 0 + 9 = 39 39 30
3
+
3
50
5 4 9
Let’s Practice Add the tens.
Re ga le du ca tio n
1.
(a)
tens
tens + +
ten
ten =
tens ens
=
(b)
tens ns
tens nss +
tens
tens ten =
+
=
+
=
tens
(c)
51
Re ga le du ca tio n
2. Fill in the missing numbers. Complete the equation. (a)
20
30
40
60
20 + 30 =
(b)
20
40
50 0
20 + 40 =
(c)
50
60
90
50 + 30 0=
(d)
40
40 + 5 50 =
52
60
70
At Home Add the tens.
Re ga le du ca tio n
1.
(a)
tens
tens +
tens
tens =
+
=
+
=
+
=
tens
(b)
(c)
53
2. Match.
80
50 + 30
50 + 50
54
90
60
50
ga
40 + 30
ed uc at
30 + 20
10 + 80
70
30 + 30
100
3. Complete the equations. (b) 60 + 30 =
(c) 40 + 40 =
(d) 70 + 30 0=
(e) 30 + 50 =
(f) 40 + 60 =
(g) 10 + 20 =
(h) 10 + 50 =
Re ga le du ca tio n
(a) 70 + 20 =
4. Add. (a)
+
(c)
3 4
0 0
+
6 1
0 0
+
4 4
0 0
(e)
(b)
+
4 5
0 0
+
3 6
0 0
+
3 4
0 0
(d)
(f)
55
Let’s Practice Fill in the missing numbers and complete the e equations. equations quations
Re ga le du ca tio n
1.
(a)
20 + 14 =
10
4
34
20
+
10
=
3 30
30
+
4
=
34
(b)
20 + 27 =
+
=
+
=
+
=
+
=
(c)
50 + 3 36 =
56
2. Fill in the missing numbers and complete the equations. q
Re ga le du ca tio n
(a)
20 + 15 =
10
(b)
(c)
(d)
( (e)
5
35
20
+
10
=
0 30
30
+
5
=
3 35
40 + 12 =
+ +
= =
60 + 27 =
+ +
= =
40 0 + 36 =
+ +
= =
50 + 4 48 =
+ +
= =
57
At Home e equations. equations quations Fill in the missing numbers and complete the
Re ga le du ca tio n
1.
(a)
22
32
42
62
22 + 30 =
(b)
46
66
76 6
46 + 40 =
(c)
59
89
99
59 + 40 =
(d)
23
23 + 50 =
58
43
63
2. Match.
47
at
27 + 20
97
51 + 20
86
10 + 17
71
e
50 + 41
27
46 + 40
91
a
60 + 37
59
3. Complete the equations. (b) 67 + 10 =
(c) 57 + 10 =
(d) 70 + 26 =
(e) 30 + 55 =
(f) 60 0 + 17 =
(g) 40 + 48 =
(h)) 20 + 72 =
Re ga le du ca tio n
(a) 42 + 20 =
4. Add. (a)
+
(c)
+
(e) e)
+
60
3 4
6 1
4 5
9 0
0 1
0 6
(b)
+
3 5
8 0
+
1 6
6 0
+
7 2
0 4
(d)
(f)
Let’s Practice Fill in the missing numbers and complete the e equations. equations quations
Re ga le du ca tio n
1.
(a)
22
22
+
3
23 24 4
=
25
25
(b)
+
=
+
=
(c)
61
2. Fill in the missing numbers and complete the equations. q
39
6 + 3 = 9 30 + 9 = 39
Re ga le du ca tio n
(a)
30
(b)
(c)
(d)
(e)
62
36 + 3 =
6
42 + 5 =
61 + 8 =
94 + 4 =
82 2+6=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
At Home Fill in the missing numbers and complete the e equations. equations quations
Re ga le du ca tio n
1.
(a)
+
=
+
=
(b)
63
2. Match.
59
at
21 + 5
69
56 + 3
38
22 + 6
79
e
74 + 5
28
7 + 62
26
a
5 + 33
64
3. Complete the equations. (b) 82 + 5 =
(c) 36 + 3 =
(d) 91 + 6 =
(e) 64 + 4 =
(f) 83 + 5 =
(g) 76 + 3 =
(h) 93 + 6 =
Re ga le du ca tio n
(a) 24 + 3 =
4. Add. (a)
5
+
(c)
7
+
(e)
9
+
5 4
3 3
2 5
(b)
8
1 4
2
3 6
7
6 2
+
(d)
+
(f)
+
65
Adding With Regrouping
Re ga le du ca tio n
Let’s Learn
Add 37 and 5. Tens
Ones
Tens Ones
3
+
7 5
Add the ones. 7 ones + 5 ones = 12 ones. Regroup the ones. 12 ones = 1 ten 2 ones Tens
Ones
Tens Ones 1
3
+
Tens
Tens Ones
Ones
1
3
+
4
Add the tens. tens 3 tens + 1 ten = 4 tens 4 tens + 2 ones on = 42 37 + 5 = 42 2
66
7 5 2
7 5 2
Let’s Practice Add.
Re ga le du ca tio n
1.
(a)
2
+
(c)
4
+
(e)
7
+
(g)
6
+
4 7
9 2
6 4
8 5
(b)
2
6 6
5
5 8
8
2 9
1
9 8
+
(d) (
+
(f)
+
(h)
+
67
2. Add. (b) 84 + 6 =
Re ga le du ca tio n
(a) 47 + 7 =
+
(c) 25 + 8 =
+
(e) 74 + 9 =
+
68
+
(d) d) 86 + 7 =
+
(f) 66 + 5 =
+
(h) 88 + 8 =
Re ga le du ca tio n
(g) 25 + 6 =
+
+
(i) 84 + 7 =
(j)) 76 + 9 =
+
+
(k) 18 + 5 =
(l) 67 + 6 =
+
+
69
At Home Add.
Re ga le du ca tio n
1.
(a)
3
+
(c)
6
+
(e)
6
+
(g)
8
+
70
7 5
8 7
5 9
8 2
(b)
7
8 9
6
8 3
8
4 8
7
9 9
+
(d (d)
+
(f)
+
(h)
+
2. Add. (b) 84 + 9 =
Re ga le du ca tio n
(a) 53 + 8 =
+
(c) 87 + 8 =
+
(e) 44 + 7 =
+
+
(d) d) 39 + 4 =
+
(f) 68 + 8 =
+
71
3. Match.
92
at
28 + 5
33
56 + 6
72
84
84 + 7
62
ga
e
79 + 5
65 + 5
91
83 + 9
70
Solve It!
Re ga le du ca tio n
Fill in the missing numbers in the magic flowers. 46
What's at's the rule? ule
8
5
7
55
48
50
47
9
(a)
(b (b)
16
18
9
67
66
22
4
13
8
69
3
(c)
(d)
7
5
2
88
84
8
8
9
7
58
73
Anchor Task
74
n
Subtracting Without Regrouping
75
Let’s Learn
Re ga le du ca tio n
Find 40 – 20.
4 tens – 2 tens = 2 tens 40 – 20 = 20
Count back by tens er line! on the number
10 20 30 40 50 60 70
Find 70 – 40.
Tens Ones
7 tens – 4 tenss = 3 tens 70 – 40 = 30
20 30 3 40 50 60 70 80
76
7 – 4 3
0 0 0
Re ga le du ca tio n
Subtract 20 from 43.
First, subtract the tens.
43 is 4 tens and 3 ones. 4 tens – 2 tens = 2 tens 40 – 20 = 20 20 + 3 = 23 So, 43 – 20 = 23
Then add a the tens and ones.
13
23 33 43 53 63
Find 76 – 30.
Tens Ones
7 – 3 4
7 tens ens – 3 tens = 4 tens 70 – 30 = 40 40 + 6 = 46 3 = 46 So, 76 – 30
6 0 6
26 36 46 56 66 76
77
Let’s Practice Subtract the tens.
Re ga le du ca tio n
1.
(a)
tens – –
ten =
tens ns
=
(b)
tens – –
tens =
tens
tens =
tens
=
(c)
tens – te –
78
=
Re ga le du ca tio n
(d)
tens – –
tens =
tens ens
tens =
tens
=
(e)
tens – –
=
2. Complete te the he equations. equations equati (a) 60 – 20 =
(b) 80 – 10 =
(c) c) 50 0 – 30 =
(d) 70 – 30 =
( (e) 40 – 40 =
(f) 90 – 30 =
(g) g) 90 9 – 50 5 =
(h) 70 – 60 =
79
At Home e equations. equations quations Fill in the missing numbers and complete the
Re ga le du ca tio n
1.
(a)
20
40
50
60
70
80 0
90
90
100
50 – 20 =
(b)
50
90 – 30 =
(c)
770
100 – 40 0=
(d)
4 40
80 – 50 =
80
70
80
2. Match.
10
at
50 – 20
80
70 – 20
40
80 – 60
30
e
50 – 40
20
90 – 50
50
a
100 – 20
81
3. Complete the equations. (b) 80 – 50 =
(c) 70 – 50 =
(d) 70 – 10 =
(e) 50 – 40 =
(f) 60 – 30 =
(g) 90 – 20 =
(h) 100 00 – 60 =
Re ga le du ca tio n
(a) 70 – 20 =
4. Subtract. (a)
–
(c)
–
(e) e)
–
82
8 1
6 1
4 4
0 0
0 0
0 0
(b)
–
7 6
0 0
–
9 3
0 0
–
5 1
0 0
(d)
(f)
Solve It!
Re ga le du ca tio n
Fill in the missing numbers in the magic flowers. 40
80
What's th the rule?
60
70
10
60
50
70
30
(a)
(b (b)
70
90
80
6 60
80
50
30
90
40
40
10
(c)
(d)
70
90
30 40
40
50
10
20
30
50
83
Let’s Practice Add, then write a related subtraction equation. on.
Re ga le du ca tio n
1.
(a) 20 + 30 =
50
–
50
20
(b) 20 + 10 =
=
(c) 60 + 30 = –
=
=
84
–
=
–
=
(h) 30 + 30 =
=
(i) 50 + 40 = –
=
(f) 40 + 30 =
(g) 10 + 80 0= –
–
(d) d) 70 + 20 =
(e) 50 + 10 = –
30
–
=
(j) 20 + 50 =
=
–
=
2. Subtract, then write a related addition equation. n.
50
(b) 70 – 30 =
Re ga le du ca tio n
(a) 80 – 30 =
50
+
30
=
(c) 50 – 30 = +
=
=
+
=
+
=
(h) 60 – 40 =
=
(i) 50 0 – 20 = +
=
(f) 30 – 10 =
(g) 90 – 10 = +
+
(d) 60 – 50 =
(e) 90 – 50 = +
80
+
=
(j) 30 – 20 =
=
+
=
85
a) (a)
10
70
+ +
(b) b)
80
=
–
=
=
–
=
50 5
Re
90
86
ed uc ati on
3. Use each number to make a number bond. Make a number fact family.
40
+
=
–
=
+
=
–
=
Re ga le du ca tio n
(c)
20
60
40
+
=
–
=
+
=
–
=
(d)
60
90
30
+
=
–
=
+
=
–
=
87
Looking Back Add the tens. Fill in the blanks. (a)
Re ga le du ca tio n
1.
tens
tens +
tens
tens =
+
=
+
=
tens
(b)
2. Complete omplete plete the equations. equ
88
(a) 10 0 + 70 7 =
(b) 50 + 20 =
(c) 40 + 40 =
(d) 30 + 60 =
(e) 70 + 30 =
(f) 20 + 80 =
Re ga le du ca tio n
3. Fill in the missing numbers. Complete the equations. (a)
30 + 27 =
(b)
60 + 23 =
+
=
+
=
+
=
+
=
4.
28
48
68
28 + 50 =
5. Complete plete e the equations. equatio equ (a)) 42 2 + 20 =
(b) 67 + 10 =
(c) 57 + 10 =
(d) 70 + 26 =
(e) 30 + 55 =
(f) 80 + 17 =
89
6. Add. (a)
(b)
6 4
8
2 9
1
9 8
Re ga le du ca tio n
7
+
(c)
6
+
(d)
8 5
+
+
7. Subtract the tens.
tens – –
ten = tens
tens
=
n the he missing nu n 8. Fill in numbers. omplete plete the equ Complete equation.
40
80 – 50 =
90
70
80
9. Complete the equations. (b) 80 – 10 =
(c) 70 – 30 =
(d) 40 – 40 0=
(e) 90 – 40 =
(f) 90 – 80 =
Re ga le du ca tio n
(a) 50 – 20 =
10. Add, then write a related subtraction tion n equation. equation (b) 20 + 10 =
(a) 20 + 30 = –
=
(c) 50 + 30 =
–
=
(d) 70 7 + 20 =
–
=
–
=
11. Use each number b to make a number bond. be Make a number mber er fact fac family. f
+
=
–
=
+
=
–
=
91
Length
Comparing Length Anchor Task
92
ion
8
93
Let’s Learn
Re ga le du ca tio n
Compare the length of the pencil and the eraser. er.
The pencil is longer than the eraser. ser. The eraser is shorter than the pencil.l.
stri Compare the length of the pieces of str string. A B
err than string ng B. String A is shorter String B is longer ger than string stri A.
Compare the length of the branches. A B
Branch anch A is as long as branch B. Branch and branch B are the same length. h A an
94
1.
Check the longer object. (a)
Re ga l
(b)
ca tio n
Let’s Practice
(c)
95
(a)
Re ga l
(b)
du ca tio n
2. Check the shorter object.
(c)
96
3. Check 2 objects that are the same length.
Re ga le du ca tio n
(a)
(b)
97
Hands On
Shorter than han my pencil p
R
ga
ed
Longer than my pencil
ati on
Find 3 objects that are shorter than your pencil. Find 3 objects that are longer than your pencil.l. Draw the objects in the spaces below.
98
Solve It!
Re ga le du ca
tio n
Keira, Sophie and Michelle each have a set of cubes. ubes. es. Keira’s cubes form a longer row than Sophie’ss cubes. es. Michelle’s cubes form a shorter row than Sophie’s ophie’s e’s cubes. cubes Write each child’s name under their set of cubes.
99
At Home Circle the shorter train.
Re ga le du ca tio n
1.
2. Circle the longer saw.
3. Circle the e paper aper strips strip that th are as long as the red paper strip. ip.
100
ati on
4. (a) Draw a shorter strip of paper. Color it green. (b) Draw a longer strip of paper. Color it blue.
R
ength. ngth (c) Draw a strip of paper the same length. Color it red.
1 01
Re ga le du ca tio n
5. Fill in the blanks. Which is longer? Which is shorter? (a)
The snake is
than ha the lizard.
(b)
pillar ar is The caterpillar
than the worm.
(c)
The crocodile is c
1 02
than the shark.
Re ga le d
Compare the length of the crayons.
on
Let’s Learn
The blue crayon is longer nger er than the red crayon and the yellow crayon. The blue ue crayon is i the longest. The yellow crayon than the blue crayon and the on is shorter shor sho red crayon. The is the shortest. he yellow crayon crayo cra The toothbrush brush ngest. is the longest.
The hair comb is the shortest.
1 03
Let’s Practice Circle the longest g object. j
Re ga le du ca tio n
1.
a) (a)
(b)
104
(a)
R
(b)
ed uc ati on
2. Circle the shortest object.
1 05
(a)
ed uc ati on
3. Which is the longest? Which is the shortest?
The blue string is the
.
The yellow string iss the he
Re ga
(b))
.
spoon is the The sspoo The knife is the T
106
. .
(a)
Re g
(b)
du ca tio n
4. Order the objects from the longest to the shortest. e Write ‘1’ for the longest and ‘3’ for the shortest.t.
1 07
Re ga le du ca tio n
5. Order the objects from the shortest to the longest. es Write ‘1’ for the shortest and ‘3’ for the longest.t. (a)
(b)
108
At Home Check the shortest instrument.
ed uc ati on
1.
Re
2. Check the longest truck. ruck.
1 09
(a)
Re ga
(b)
110
du ca tio n
3. Order the objects from the longest to the shortest. e Write ‘1’ for the longest and ‘3’ for the shortest.t.
(a)
Re ga
(b)
du ca tio n
e 4. Order the objects from the shortest to the longest. Write ‘1’ for the shortest and ‘3’ for the longest.t.
111
Hands On
ed uc ati on
Play this game in groups of 4!
1. Take 4 pieces of string of different lengths. hs. ngs’ length. 2. Hold them in your hand to hide the strings’
R
tring. g. 3. Take turns to pick a string. tab from the shortest to 4. Arrange the stringss on your table the longest.
he p pla ye who picked the longest string can hold the 5. The player gs for f the next game. strings
112
Solve It!
Re ga l
ed uc ati on
Ethan, Blake and Wyatt each have a piece of string. ring. g. Ethan’s string is shorter than Blake’s string. Wyatt’s string is the longest. string Write each child’s name under their piece of string.
1 13
Anchor Task
n
Measuring Length Use counters to measure the lengths of the objects. ob bje je ec cts.
114
1 15
Let’s Learn
The pencil is about 5
uc ati on
Let’s find the length of the pencil.
long. ong. g.
Re ga l
ssors. s. Let’s find the length of the scissors.
The scissors are ab about 10
116
long.
Let’s find the length of the table in units. stands for 1 unit.
Re ga le du ca tio n
1
h. The table is 4 units in length.
whiteboa Let’s find the length of the whiteboard. 1
stands for 1 unit.t.
The whiteboard is 7 units in length. b 1 17
Let’s Practice Find the length of the pencils.
Re ga le du ca tio n
1.
(a)
The pencil is about
long.
The pencil is a aboutt
long.
The penc p pencil is about
long.
(b)
(c)
118
Re ga le du ca tio n
(d)
The pencil is about
long. ng. g.
The pencil is about out
long.
about The e pencil pencil is a ab
long.
(e)
(f)
1 19
2. Find the length of the objects.
ed uc ati on
(a)
The paintbrush is about (b)
The marker is about bout
Re g
(c)
racket is about T ttennis The e
120
long.
long.
long.
ed uc ati on
(d)
The paper strip is about (e)
The pen is about
Re g
(f)
house is about T ho The
long.
long.
long.
121
Re ga le du ca tio n
3. Find the length of the objects in units. 1 stands for 1 unit. (a)
The shoe is
units long.
(b)
The toy train iss
un long. units
(c)
truck is The fire fi tr
122
units long.
du ca tio n
(d)
The whiteboard is
Re g
(e)
window is T wi The
unitss long.
units long.
123
(a)
ed uc ati on
4. Use a coin to measure the objects. 1 coin stands for 1 unit.
The drum is about (b)
(c)
units long. g.
The toy truck is aboutt
units long. u
The e hammer ammer is about ab
units long.
(d)
Th ttoy The o train is about 1 24
units long.
du ca tio n
(e)
The saw is about
units long.
The kite is about
units lon long.
(f)
Re g
(g)
The he rocking horse is about
units long. 125
Hands On 1
ed uc ati on
Use hand spans to measure objects in the classroom. sroom. om. stands for 1 unit.
1.
My desk is about
Re g
2.
units lo long.
My teacher’s desk is about eac
1 26
units long.
du ca tio n
3.
Our window is about
Re g
4.
doo is about Our door
units long long.
units long. 127
At Home Find the length of the animals.
Re ga le du ca tio n
1.
(a)
The millipede is about
long.
(b)
The lizard is about out ut
long.
(c))
The Th mouse mou is about
1 28
long.
Re ga le du ca tio n
(d)
The worm is about
long. g.
out ut The shark is about
long.
The sna snake is about
long.
(e)
(f)
129
ed uc ati on
(g)
The caterpillar is about
(h)
long. ong. ng.
bout The alligator is about
Re ga l
(i)
The e eel eel is about
130
long.
long.
(a)
The glue is
units long. ong. g.
Re ga le
(b)
uc ati on
2. Find the length of the objects in units. 1 stands for 1 unit.
The umbrella mbrella rella is
units long.
(c)
T ba The bat is
units long.
1 31
Re ga le du ca tio n
(d)
The tub is
units long.
The log iss
units long. u un
(e)
(f)
The he boat is
132
units long.
3. Find the length of the paper strips in units. stands for 1 unit.
Re ga le du ca tio n
1
(a) The blue paper ap strip ip is
units long.
llow w paper strip s (b) The yellow is
units long.
(c) The e green reen pape paper sstrip is
units long.
he purple pap p a (d) The paper strip is
units long.
(e) The orange ora paper strip is pink paper strip is (f) The pin
units long.
units long.
1 33
4. Find the length of the lines in units. stands for 1 unit.
ga le du ca tio n
1
(a) The e green reen line is e red red line is (b) The
(c) The blue line lin is (d) The ora orange line is
1 34
units long.
units long.
units long. units long.
Find the length of each string. A
on
Solve It!
B
C
Re g
D
(a) String
and string
b) String (b)
is the shortest.
(c) String ng
is the longest.
are the same length.
1 35
Looking Back Circle the longer strip of paper.
Re ga le du ca tio n
1.
2. Circle the shorter strip of paper. er.
3. Check the pencils that hat at are th tthe same length.
1 36
du ca tio n
4. Check the longest string. g Cross the shortest string.
Re g
5. Find the length of the e stapler. apler.
The staple sstapler t is about
long.
1 37
Re ga le du ca tio n
6. Find the length of the planks of wood in units. stands for 1 unit. 1 (a)
A
Plank A is about
units long. g.
(b)
B
Plank B is about
(c)
C
out Plank C iss about
(d)
units long.
D
Plank D is about a
1 38
units long long.
units long.
Re ga le du ca tio n
7. Find the length of the lines in units. 1 stands for 1 unit.
A
B
C
D
E
(a) Line A is
units lo un long.
(b) Line ne B is i
units long. un
(c) c) Line ne C is
units long.
(d)) Line D is
units long.
(e)) Lin Line E is
units long.
1 39
Time
Telling Time to the Hour Anchor Task
140
ion
9
1 41
Let’s Learn
uc ati on
The clock has 2 hands. The long hand is called the minute hand. The short hand is called the hour hand.
What’s the time? e?
minute hand
Re
hour hand
The he minute inute hand ha is pointing to 12. The hour hand ha is pointing to 3. The time is 3 o’clock.
142
ed uc ati on
Jordan learns science at 10 o'clock.
Michelle watches television vision ion on at 6 o'clock.
1 43
Let’s Practice Match.
Re ga le du ca tio n
1.
5 o’cloc o’clock
1 o’clock 10
3 o’clock
12 o’clock
8 o’clock
1 44
(a)
Re ga le du ca
(b)
ion
2. What times are shown on the clocks?
o’clock
(c)
o’ o clock
(d) d)
o’clock
(e)
o’clock
(f)
o’clock
o’clock 1 45
(g)
Re ga le du ca tio n
(h)
o’clock
o’clock o
(j)
(i)
o’ o clock
(l)
(k)
o’clock
146
o’clock
o’clock
(a)
Sophie wakes up at
Re ga l
(b)
ca tio n
3. Write the time Sophie does each activity.
6 o’clock ock
.
She walks school at alkss to schoo a
.
(c)
She eats lunch at S
. 1 47
ca t
(d)
She plays with friends at (e)
She walks alks home at
.
.
(f)
She S does her homework at 148
.
She eats dinner at (h)
ca tio
(g)
.
Re ga l
She watches television at tches hes televi televisio
.
(i)
She is fast asleep at S
. 1 49
1.
Draw the hour hand on the clocks. It’s 2 o’clock.
Re ga le du ca
(a)
on
At Home
(b)
(c)
150
It’s 5 o’clock.
It’s 9 o’clock.
Re ga le du ca t
It’s 11 o’clock.
n
(d) d)
(e) e)
(f)
clo It’s 1 o’clock.
It’s 7 o’clock.
1 51
(a)
Re ga le du ca t
It’s 4 o’clock.
n
2. Draw the times on the clocks.
(b)
It’s 8 o’clock.
(c)
It’s 12 o’clock.
152
Re ga le du ca t
It’s 10 o’clock.
n
((d))
(e)
(f)
It’s 3 o’clo o’clock.
It’s 6 o’clock.
153
Let’s Learn
Re ga le du ca tio n
Compare the clocks. Both clocks show the same time. Analog clock
This clock shows sh 4 o’clock. o’cloc
Digital clock lock
hours
minutes min
The time is 4 o’clock.
154
This clock shows 4 o’clock too.
ed uc ati
n
Ethan wakes up at 7 o'clock.
R
Riley y plays p y the violin at 11 o'clock. o'clock o'cloc .
155
Let’s Practice Match.
Re ga le du ca tio n
1.
7 o’clo o’clock o’cloc
1 o’clock 12
4 o’clock
9 o’clock
6 o’clock
156
2. What times are shown on the clocks? (a)
Re ga le du ca to n
(b)
o’clock
(c)
o’ o clock
(d) d)
o’clock
(e)
o’clock
(f)
o’clock
o’clock
157
(g)
Re ga le du ca tio n
(h)
o’clock
o’clock
(j)
(i)
o’ o clock
(l)
(k)
o’clock
1 58
o’clock
o’clock
3. Write the time Riley does each activity.
du ca tio n
(a) Riley gets dressed for school at 7 o’clock.
Re ga l
(b) She helps her mother at 6 o’clock.
e ge ets ready for bed at 9 o’clock. (c) She gets
159
Hands On (a) Sit in pairs with an analog clock. (b) Tell your friend the times you do different ent activities. ctivities. (c) Have your friend show the time on the he clock.
ga le du ca tio n
1.
I ride my bik bike at 4 o’clock. o’cloc
2. (a) Show differentt times mes on the th clock. (b) Have your friend frie say an activity they do at each time. e. at I’m asleep a 111 o’clock.
160
Play the Time Game!
tio n
Hands On
1. Take turns to roll the dice. ter. er 2. Say the times as you move your counter. 3. The first player to reach the finish is the he winner.
1 61
At Home Write the times on the digital clocks. Write the time. (a)
ed uc ati on
1.
3
0 0
3 o’clock
Re g
(b)
1 62
Re ga le du ca tio n (c)
(d)
(e)
1 63
Solve it! Fill in the blanks and write the time on the clock. ock..
ion
1.
le du
(a) Michelle leaves for school at 7 o’clock. She takes 1 hour to get to school.
Michelle gets to o school hool at
o’clock.
Re g
(b) Michelle was late school on Tuesday. ate to sch schoo d at a 9 o’clock. o’clock. She arrived
Michelle left home at Miche M
1 64
o’clock on Tuesday.
le du
ati on
2. (a) Jordan goes on a hike to a waterfall. He leaves at 10 o’clock. He reaches the waterfall in 2 hours.
Jordan gets to the he waterfall aterfall at a
o’clock.
R
e water waterfa (b) Jordan leavess the waterfall at 1 o’clock. h He takes 3 ho hours to get back.
Jordan ord gets back at
o’clock. 1 65
Anchor Task
1 66
n
Telling Time to the Half Hour
1 67
Let’s Learn
du ca tio n
Look at the position of the clock hands. The minute hand is pointing to 6. The hour hand is between 4 and 5.
What’s the time? e?
Re
We can also say the time is ‘four-thirty’.
past 4. The time is half h We e write half past 4 as 4:30.
168
ed uc ai on
Dominic does his homework at 5:30.
Keira goes for a hike at 12:30.
1 69
Let’s Practice Match.
Re ga le du ca tio n
1.
half alf past 11
ha past 4 half
half past 9
half past 12
half past 7
170
2. What times are shown on the clocks? (b)
Re ga le du ca to n
(a)
half past
half pas past
d) (d)
(c)
half past
(e)
half past
(f)
half past
half past
1 71
(h)
Re ga le du ca tio n
(g)
half past
(i)
half past
(j)
half past st
(k)
(l)
half past
172
half past
half past
3. Write the time Jordan does each activity.
Re ga le du ca tio n
(a)
Jordan brushes his teeth at
half alf past 7
.
(b)
He catches bus at es the b bu
.
(c)
e ttalks with friends at He
. 1 73
Re ga le du ca ti n
(d)
Jordan learns science at
.
(e)
He playss basketball asketba at
.
(f)
He e rreads a book at
174
.
He walks home at
Re ga le
(h)
ca t
(g)
.
He helps his dad a at
.
(i)
H g He goes to bed at
. 1 75
Hands On (a) Sit in pairs with an analog clock. (b) Tell your friend the times you do different ent activities to the half hour. c) Have your friend show the time on the the clock. (c)
Re ga le du ca tio n
1.
I go for a jo jog at half pa past 4.
mes on th 2. (a) Show differentt times the clock. frie say an activity they do at (b) Have your friend e. each time. I brush my teeth at ha half past 8.
176
Play the Time Game!
ati on
Hands On
1. Take turns to roll the dice. ter. er 2. Say the times as you move your counter. 3. The first player to reach the finish is the he winner.
1 77
1.
Draw the hour hand on the clocks. (a)
Re ga le du ca
It’s half past 5.
on
At Home
(b)
(c)
178
It’s half lf past 3.
It’s half past 11.
d) (d)
Re ga le du ca t
It’s half past 6.
e) (e)
(f)
It’s half pastt 12.
It’s half past 9.
1 79
(a)
Re ga le du ca t
It’s half past 1.
n
2. Draw the times on the clocks.
(b)
(c)
180
alf past 8 It’s half 8.
It’s half past 4.
(d)
Re ga le du ca t
It’s half past 2.
(e)
(f)
It’s half past 7.
It’s half past 10.
1 81
Compare the clocks. Both clocks show the same time.
Re ga le d
Analog clock
ati on
Let’s Learn
Digital clock k
hours ours
minutes m
The time is half ha past 11.
182
This clock shows s half p past 11.
This clock shows half p past 11 too.
ed uc ati on
Wyatt plays computer games at 7:30.
Halle plays the guitar at a 10:30. 0:30.
1 83
Let’s Practice Match.
Re ga le du ca tio n
1.
half alf past 12
ha past 2 half
half past 8
half past 6
half past 10
184
2. What time is shown on the clock? (b)
Re ga le du ca tio n
(a)
half past
(c)
half past
(d))
half past
(e)
half past
(f)
half past
half past
1 85
(h)
Re ga le du ca tio n
(g)
half past
(i)
half past
(j)
half past ast
(k)
(l)
half past
186
half past
half past
3. Write the time Keira does each activity.
uc at on
(a) Keira plays the piano at half past 10.
Re ga
(b) She goes shopping at half past 5.
(c) She iss fast fast asleep at half past 12.
1 87
At Home
(a)
eg al ed uc ati on
Write the times on the digital clocks. Write the time.
6 30
half past 6
(b)
188
Re ga le du ca tio n (c)
(d)
(e)
1 89
Solve it! Fill in the blanks and draw the time on the clock. ock..
Re ga le du ca tio n
1.
(a) Jordan starts jogging at half past 9. He jogs for 1 hour.
Jordan finishess jogging ogging at half h past
.
ing Ethan han wa (b) In the evening, watched television for 2 hours. d watching watch watc t He started television at half past 6.
tha finished watching television at half past Ethan
190
.
ed uc ati on
2. (a) Halle did her homework for 1 hour. She finished her homework at 6:30.
mework at a half past Halle started her homework
.
Re g
ap for 2 ho h (b) Chelsea took a nap hours. She woke up att 4:30.
Chelsea fell asleep at half past
.
1 91
Re ga le du ca tio n
3. The pictures show the things Riley did on Saturday. da Look at the times and order the pictures from m the he first fir thing Riley did (1) to the last thing she did (8).
192
Re ga le du ca tio n 4. Fill in the blanks.
(a) Riley woke up at
half pa past 7
.
(b) She played tennis nniss at
aslee at (c) Riley was asleep
.
.
atched hed telev televisio (d) She watched television at
.
(e) Riley shopping at ey went shoppin shop
he ate ate breakfast break (f) She at
Riley finished shopping at (g) Rile (g R y fin finish
(h) S She w e home from tennis at went
.
.
.
.
1 93
Looking Back Write the times shown on the analog clocks. s.
Re ga le du ca to n
1.
1 94
(a)
(b)
(c)
(d)
(e)
(f)
(b)
Re ga le du ca t
(a)
n
2. Write the times shown on the digital clocks.
(c)
(d)
(e)
(f)
1 95
Re ga le du ca t
(a)
n
th 3. Draw the times on the analog clocks and write the times in the boxes.
(b)
(c)
196
Re ga le du ca
(a)
on
h times 4. Write the times on the digital clocks and write the in the boxes.
(b)
(c)
1 97
2D Shapes Anchor Task
1 98
on
10 Shapes
Let’s Learn
Re ga le du ca tio n
Squares, rectangles, triangles, circles and trapeziums ziums ms are closed, two-dimensional shapes. ach shape. Let’s take a look at the characteristics of each
This is a square.
vertex v
side
A square are e has 4 sides of equal length. It has (corners). ass 4 vertices (cor
1 99
Re ga le du ca tio n
This is a rectangle. vertex ve verte
side
A rectangle has 4 straight sides. des. It has 4 vertices. vertex
This is a triangle.
side
A triangle has ha 3 straight sides. as 3 vertices. vertice It has
200
Re ga le du ca tio n This is a trapezium.
vertex ertex rtex
side
A trapezium has 4 straight sides. It has 4 vertices.
This is a circle.
A circle is round. It does not have any sides. It does not have any vertices.
2 01
Re ga le du ca tio n
Squares
Rectangles
Triangles
Trapeziums
Circles rcles
202
Let’s Practice Trace each shape. Match.
Re ga le du ca tio n
1.
rectangle rectang
ttrapezium
triangle
square
circle
2 03
2. Color.
Re ga le du ca tio n
(a) Color the squares red.
(b) Color the circles green..
or the triangles triang blue. (c) Color
204
Re ga le du ca tio n
(d) Color the rectangles orange.
(e) Color the trapeziums eziums ums yello yellow.
2 05
Re ga le du ca tio n
3. Count the shapes.
206
(a) There re are
triangles. tria
The ere are (b) There
squares.
(c) There There are ar
trapeziums.
(d) There T re are The a
rectangles.
(e) There he are
circles.
ed uc ati on
4. Draw a square in the space below. Label 1 side and 1 vertex.
(a) How many sides does the square h have?
(b) How many verticess does the square sq have?
Re g
5. Draw a triangle in the he space be below. Label 1 side and 1 vertex. rtex.
(a) (a Ho How wm many sides does the triangle have? (b) b) Ho How m many vertices does the triangle have?
2 07
ed uc a
n
6. Draw a trapezium in the space below. Label 1 side and 1 vertex.
(a) How many sides does the trapezium have? (b) How many verticess does the tra trapezium have?
Re g
7. Draw a rectangle in n the he space below. b rtex. Label 1 side and 1 vertex.
(a Ho How wm many sides does the rectangle have? (a) (b) b) Ho How m many vertices does the rectangle have?
208
At Home Circle the objects that have the shape of a rectangle. tangle.
Re ga le du ca tio n
1.
2 09
Re ga le du ca tio n
2. Circle the objects that have the shape of a square. a
21 0
Re ga le du ca tio n
3. Circle the objects that have the shape of a circle. e
211
Re ga l
ca tio n
4. Circle the objects that have the shape of a trapezium. pe
212
Re ga le du ca tio n
5. Circle the objects that have the shape of a triangle. ng
213
6. Complete. This shape has
sides and
This shape is a
.
This shape has
sides idess and
This shape is a
.
as This shape has
sides and sid side
This shape pe iss a
.
his shape has This
sides and
This is shape is a
.
This shape has sh
sides and
This shape is a
.
vertices. vertice
Re ga le du ca tio n
(a)
(b)
(c)
(d)
(e))
21 4
vertices.
vertices.
vertices.
vertices.
Hands On
1.
du ca tio n
Play this game in groups of 3 or 4.
Place some shapes on your table.
2. Player 1 describes a shape.
rrect shape. shap sha 3. Player 2, 3 and 4 race to find the correct ect shape is the t winner The player who picks the correct and describes the next shape. e. It’s a triangle!
Re
This shape has 3 sides and 3 vertices.
215
Comparing and Sorting Shapes
Re ga le du ca tio n
Let’s Learn
Shapes that are the same can be grouped together. ogether. ether. Circles
Triangles
Squares
Rectangles Rectan
Blue shapes
Yellow shapes
Shapes can be grouped by y color. Red shapes
Green shapes apess
Shapes can an be grouped groupe b by size. Big shapes
216
Small shapes
Re ga le du ca tio n
How can we group these shapes?
In some shapes, the lines are not joined.
Shapes that don’t ha have joined lines are c called open shapes.
eg uped ped as open or closed. The shapes can be grouped Open shapes pes
Closed shapes
u see another way we can group the shapes? Can you
217
Let’s Practice These shapes are grouped by color. Circle the shape that does not belong.
Re ga le du ca tio n
1.
2. These shapes are grouped by size. ze. Circle the shape that doess nott belong.
3. Circle the shape ape e that is i different.
4. Circle ircle e the shape that does not belong.
218
5. Check to show how these shapes are grouped.
Re ga le du ca tio n
(a)
size
pe shape
color
size
shape sh
color
size
shape
color
(b)
(c)
219
At Home Check the shape that belongs in the group.
Re ga le du ca tio n
1.
(a)
(b)
(c)
220
2. Circle the shape that does not belong in the group. ou
Re ga le du ca tio n
(a)
(b)
(c)
(d)
221
Equal Parts
Re ga le du ca tio n
Let’s Learn
Shapes can be divided into equal parts. This circle has been divided into 2 equal parts. arts arts. 1 part out of 2 equal parts is called one half. half alf..
Half alf of a circ circle is led a sem called semicircle.
one half
These shapes have been d divided into halves.
222
ion
This circle has been divided into 4 equal parts. 1 part out of 4 equal parts is called one-fourth or one e quarter. qu A quarter of a circle is uarter circle called a quarter circle.
Re ga le du c
one quarter
These shapes have been n divided into quarters.
223
Re ga le du ca tio n
These shapes have been divided into equal parts. How many equal parts does each shape have?
2 equal parts
3 equal parts
5 equal parts ts
4e equal parts
6 equal parts
These shapes divided into unequal parts. es have ave been div
22 4
Let’s Practice Color the shapes that are divided into equal parts. rts. Cross out the shapes that are divided into unequal parts. qual par
Re ga le du ca tio n
1.
225
Re ga le du ca tio n
2. How many equal parts are the shapes divided in into? (a) (b)
equal parts
(c)
equa equal parts
(d)
equal ual p parts par
(e)
(f)
equal parts
22 6
equal parts
equal parts
3. Draw lines to divide the shapes into halves.
Re ga le du ca tio n
(a)
(b)
(c)
(d)
227
Re ga le du ca tio n
4. Draw lines to divide the shapes into quarters. (a)
(b)
(d)
22 8
(c) (c
(a)
Re ga l
(b)
ed uc ati on
5. Draw lines to divide the rectangles into quarters. s. Show a different way each time.
(c)
229
Re ga le du ca tio n
6. (a) Draw a line to divide the shape into halves. Color 1 half.
(b) What shape is colored? red? ed?
7. (a) Draw lines to divide de the sha shape into quarters. Color 1 quarter.
(b)) What W shape is colored?
23 0
ed uc ati on
8. (a) Sophie wants to share her sandwich with her er sister. Draw a line to show how Sophie should cut ut the he sandwich so they both get an equal share. are.
(b) How much uch h of the sandwich ssa does each ch child get? g
Re g
9. (a) Ethan wants to share equally with 3 friends. re e a pizza eq Draw lines to show w how ow Ethan Etha should cut the pizza so each friend gets ts an equal equa share.
(b) Ho How much mu of the pizza does each child get?
2 31
Composite 2D Shapes
Re ga le du ca tio n
Let’s Learn
We can put shapes together to form new shapes. hapes. pes. The new shapes are called composite shapes. ape . apes We can put 2 squares together to make a new shape. shap
The 2 squares squ make a rectangle. re
Let’s put 3 triangles es together. to ther.
The 3 triangles make a trapezium.
232
Re ga le du ca tio n
We can make complex shapes too.
This shape looks lilike a rocket.
2 33
Let’s Practice Check the different shapes used to make the complex shape. (a)
R
(b)
234
le du ca tio n
1.
Re ga le du ca tio n
2. Count the number of each shape used to make e the complex shape.
2 35
Re
(b)
2 36
ed uc ati on
3. Copy this shape with pattern blocks. Then make and draw a new shape. (a)
Re
(c)
2 37
Hands On
Re ga le du ca tio n
Use a set of pattern blocks to complete these activities. ctivities. vities. 1.
hape. e. Use these pattern blocks to make the shape. (a)
(b)
2 38
Re ga le du ca tio n (c)
(d)
2 39
At Home Check the different shapes used to make the complex shape.
Re ga le du ca tio n
1.
(a)
(b)
240
Re ga le du ca tio n
2. Count the number of each shape used to make e the complex shape.
2 41
Composite 3D Shapes
ga le du ca tio n
Let’s Learn
These se are three-dimensional three (3D) shapes. p
cube
sphere
rectangular prism sm (cuboid) ( )
cone co e
cylinder
We can combine shapes ne e 3D sh ssha es to t make composite shapes.
24 2
Let’s Practice
Re ga le du ca tio n
Circle the shapes used to make the composite shape. ape. (a)
(b)
(c)
2 43
Re ga le ca tio n
(d)
(e)
244
At Home
Re ga le du ca tio n
Color the shapes used to make the composite shape. pe. Write the number of each shape used. (a)
(b)
2 45
Re ga le du ca tio n (c)
(d)
24 6
Looking Back Unscramble the letters to name each shape. e.
Re ga le du ca tio n
1.
(a)
(b)
elrtecgna
qsurea
(d)
(c)
zrtpaemiu
elcirc
(e)
egntiral
2. These e shape shapes ar are grouped by color. Circle the sh shap Circle shape that does not belong.
2 47
3. Draw 1 more shape that belongs in the group.
Re ga le du ca tio n
(a)
(b)
4. Draw lines to divide de these hese sha shapes into halves.
5. Draw w lines nes to divide divid these shapes into quarters.
24 8
(a)
Re g
(b)
ed uc ati on
6. Count and write the number of shapes used.
2 49
Data and Graphs
Tally Charts Anchor Task
2 50
ion
11
Re ga le d
Flowers s in My Garden
Color
T Tally
Total
Red
ow Yellow Blue
2 51
Let’s Learn
du ca tio n
Dominic asked 10 of his friends their favorite color. He recorded the answers in a tally chart.
Favorite Colors Color Red Yellow Blue
Tally
Total Tota 6 1
3
Re ga l
One stands for 1. One
stands ds for 5.
6 children like red.
25 2
More children like blue than yellow.
Re ga le du ca tio n
Halle asked her friends their favorite animal. What can we tell from her tally chart? Favorite Animal
Animal
Tally
Total
Giraffe
4
y Monkey
8
Tiger
6
4 children like giraffes. 8 children like monkeys. 6 children like tigers.
How many children like giraffes and tigers?
2 more children like than tigers. ke monkeys m ke giraffes giraff than monkeys. 4 fewer children like ends did Halle H How many friends ask in all? 4 + 8 + 6 = 18 8 friends in all. Halle asked 18
253
Let’s Practice Blake made a tally about the things in his kitchen en drawer. draw
al ed uc ati on
1.
My Kitchen Drawer
Object
Knife Fork Spoon
Tally
Tot Total
(a) Write the totals in the e table. (b) There are
knives.
(c) There are
forks.
(d) There are e
sspoons. p
(e) There are more
than forks.
(f) There fewer ere are fewe
than forks.
(g) How ma many objects are there in Blake’s drawer?
254
Re ga le du ca tio n
2. Ask 10 friends which fruit they like the most. Make a tally. Favorite Fruits
Fruit
Tally
ta Total
Banana
Apple
Orange
(a)
children like e bananas. bana
(b)
children ren like apples.
(c)
children hildren like oranges.
ore childr (d) Do more children like bananas or apples?
more children like oranges or bananas? ((e) Do mo
255
Hands On Place a paper clip in the center of the circle. Hold ld it in place with a pencil.
Re ga le du ca tio n
1.
ord the color colo it 2. Flick the paper clip to make it spin. Record stops on in a tally on the next page.
3. Repeat 12 times.
25 6
Re ga le du ca tio n Spinner Colors
Color
Tally
4. (a) The paper clip stopped opped o on red
(b) The paper clip stopped on blue
Total
times.
times.
(c) On which color did the paper clip stop the most?
(d) On color did the paper clip stop the fewest? n which colo
257
At Home
on
Make a tally chart for the animals at the pond.
Re ga le du c
1.
At the Pond
T Tally
Animal
Total
Butterflies
Dragonflies Frogs
2 58
(a) There here are
frogs.
are (b) There a
more dragonflies than frogs.
(c) There are
fewer dragonflies than butterflies.
(d) There are
animals at the pond in all.
Re ga le du ca tio n
2. Make a tally chart for the cars on the road.
Cars in the e City
Object
Tally
Total
Blue Cars Red Cars
Yellow Cars
(a) There e are a
yellow cars.
(b) There are here ar
fewer red cars than blue cars.
((c) There are
more yellow cars than red cars.
(d) d) Th There are
cars in all.
259
Anchor Task
260
n
Picture Graphs
2 61
Let’s Learn
Re ga le du ca tio n
In Wyatt’s marble collection, there are blue, green, yellow and red marbles.
Wyatt groups his marbles by color. color He counts the number of marbles group. arbles in each e
6
2 62
3
4
2
Let’s use a picture graph to represent the data.
Re ga le du ca tio n
Wyatt’s Marbles
Blue
Each
Red
Yellow Y
Green
stands ds for 1 m marble.
mar Wyatt has 6 blue marbles, 3 red marbles, 4 yellow marbles een marbles. marbles and 2 green He has 15 marbles marb in all.
e has 3 more blue marbles than red marbles. He
He has 2 fewer green marbles than yellow marbles. 2 63
Re ga le du ca tio n
The picture graph shows the number of animals Sophie spotted on a school field trip. Animals Spotted
Rabbits
Monkeys
Squirrels
Birds
1
stands for 1 animal. anima
Sophie spotted potted 4 rabbits, rabb 4 monkeys, 2 squirrels and 5 birds. e spotted as many rabbits as monkeys. She he sp She spotted 3 more birds than squirrels.
She spotted 2 fewer squirrels than monkeys. 264
Let’s Practice The picture graph shows Michelle’s toys.
Re ga le du ca tio n
1.
My Toys
Teddy bears Dolls
Robots
Trains
(a) Michelle has as
robot.
(b) She has
teddy bears. tedd
as (c) She has
dolls. d
(d) She e has
trains.
(e) She has
more trains than robots.
She h has (f) S
fewer teddy bears than dolls.
2 65
Re ga le du ca tio n
2. The picture graph shows the favorite fast foods of Halle’s friends. Favorite Fast Foods
Burger
One
Fries
Hot Dog
stands ds for 1 friend.
(a)
friends lik like burgers.
(b)
friends llike pizza.
(c)
more friends like pizza than hot dogs. m
(d)
friends like pizza and fries in all.
(e) Halle asked
266
Pizza Pizz
friends in all.
At Home
Re ga le du ca tio n
The picture graph shows how Ethan’s friends get to o school. school
Getting to School
Walklk W Bus
Car
BBike k
(a)
children ride a bike b to school.
(b)
children ren walk to school.
(c) How many ride a bike than walk? ny more children c
(d) How w do mos most children get to school?
(e) e) How ow man many more children take the bus than walk to school? o sc
2 67
Solve It!
Re ga le du ca tio n
oney The picture graph shows the amount of pocket money Keira saved for 1 week. ng Keira’s Pocket Money Savings
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday ay
ach Each
268
stands for 1 dollar.
Re ga le du ca tio n
(a) How much money did Keira save on Wednesday? (b) How much money did Keira save on Monday? (c) On which day did Keira save the most? (d) On which day did Keira save the least?? (e) Keira saved (f) She saved
more on Thursday sday than tha Tuesday.
on Saturday and Friday. Friday
(g) How much did Keira save on the weekend? he week
(h) How much did Keira save e from Monday Mo to Friday? (i) How much did Keira save ave in all?
2 69
Let’s Practice Make a picture graph showing the different shapes. apes. Draw a cross ( ) to show 1 of each shape.
Re ga le du ca tio n
1.
Different rent Shapes Sha
Each ch
27 0
stands for 1 shape.
2. The table shows the color of the cars in a car park.
Re ga le du ca tio n
Colour of Cars in the Car Park
Red
Blue
Green
White
3
5
2
6
Make a picture graph using 1
to show 1 car.
Colour of Cars in the e Car Park Par
Red
1
Blue
Green
White
stands for 1 car.
2 71
Play this game in groups of 3 or 4. 1.
Take turns in rolling a dice.
n
Hands On
Re ga le du ca
2. Draw a in the correct column in the picture graph. 3. Repeat for a total of 12 rolls of the dice.
her groups. group 4. Show your picture graph to other ferent. Talk about how they are different. Dice ce Rolls
1
27 2
stands for 1 dice roll.
Hands On
Re ga le du ca tio n
Play this game in pairs. 1.
Place 4 different color counters into a paper bag.
2. Take turns in picking a counter from the bag.
3. Draw a
in the correct row in the picture pictu graph.
4. Place the counter back in the bag and let your partner peat 12 times time in total. choose the next one. Repeat mos 5. Which color was picked the most? ked the least? lea Which color was picked Color Co
1
stands for 1 counter.
2 73
At Home Make a tally of the farm animals. On the next page, use the tally to make a picture ure graph. grap
Re ga
1.
Farm Animals F
ma Animal
icks Chicks Ducks
Rabbits R h Sheep
27 4
Tally
Total
Re ga le du ca tio n 1
stands for 1 animal. an
(a) There are
ducks. duck
(b) There are e
ssheep.
(c) There e are
more rabbits than ducks.
(d)) Ther There are
fewer ducks than chicks.
(e) Ther There are
sheep.
2 75
Re ga l
2. Make a tally of the toys in the toy shop. On the next page, use the tally to make a picture tu ure e graph. gra
Toys in the Toy Shop
Toy
Soldierss
Teddy dy Bears Drums rums Cars Ca
2 76
Tally
Total
Re ga le du ca tio n 1
stands for 1 toy. oy.
(a) There are
cars.
(b) There are
tteddy ed bears.
(c) There are
fewer drums than cars. fe
(d) There are
soldiers and teddy bears in all.
(e) e)
ttoys are not teddy bears.
2 77
Solve It!
Re ga le du ca tio n
Read the story and make a picture graph.
There are 20 children in a park. 8 children are playing basketball. 2 fewer children are skipping than playing g basketball. basketbal 3 children are riding bikes. The rest of the children are reading.
Basketball
Riding
Skipping
Reading eading
1
2 78
stands for 1 child. sta
Looking Back Complete the tally chart.
Re ga le du ca tio n
1.
Counters
Color
Tally
Total
Red
Blue
Yellow
(a) There e are
red counters.
(b) There here are
more red counters than
counters. blue cou
(c) There are
fewer yellow counters than
blue counters.
2 79
R
n
2. Count the clothes. p g p on the next p g Create a picture graph page.
280
Re ga le du ca tio n Shirts
Socks
Dresses
Pants
Sweaters
1
stands forr 1 piece of clothing.
(a) There are
socks.
(b) There are
shirts and sweaters in all.
(c) c) There here are ar
socks and pants in all.
(d) There are
fewer dresses than socks.
(e) Ho How many items of clothing are there in all?
2 81
Re ga le du ca tio n © Blue Ring Media edia Pty Ltd td ACN 161 590 496 4 2013 - 2021.
This publication possible without the tireless effort of our production team. ation would not have been pos Special thanks to: Daniel Hui Guan, Kevin Mahoney, Winston Goh, Jesse Singer el Cole, Matthew Cole, Wang W Joseph Taylor-Pritchard, Sophie Taylor-Pritchard, Tejal Thakur eph Anderson, Halle T Taylor-Pr Varasinun Pookwanmuang, Saijit Lueangsrisuk arasinun Mathanattapat, Mathanattapat Kanungnit Kanu
Original Illustrations: Natchanuch Nakapat, graphicsRF, Blue Ring Media and Interact Images Illustrat Nat Royalty-free images: Shutterstock, Adobe Stock imag S