Pupil Book 3A
Series Editor: Peter Clarke Authors: Elizabeth Jurgensen, Jeanette Mumford, Sandra Roberts
Contents Unit 1 Week 1: Number – Number and place value Lesson 1: 2-digit numbers Lesson 2: Partitioning 2-digit numbers Lesson 3: 3-digit numbers Lesson 4: Ordering numbers to 1000 Week 2: Number – Addition and subtraction Lesson 1: Adding 2-digit numbers Lesson 2: Adding to 3-digit numbers Lesson 3: Subtracting 2-digit numbers Lesson 4: Subtracting from 3-digit numbers Week 3: Geometry – Properties of shape Lesson 1: Naming 3-D shapes Lesson 2: Making models of 3-D shapes Lesson 3: Classifying and describing 3-D shapes Lesson 4: Building models with cubes
Page number 4 5 6 7 8 9 10 11 12 13 14 15
Unit 2 Week 1: Number – Multiplication and division, incl. Number and place value Lesson 1: Counting in 2s, 3s, 5s and 10s Lesson 2: 2s, 5s and 10s Lesson 3: 3 multiplication table Lesson 4: Solving word problems (1) Week 2: Number – Fractions Lesson 1: Finding fractions Lesson 2: Solving fraction problems (1) Lesson 3: Solving fraction problems (2) Lesson 4: Adding fractions Week 3: Measurement (mass) Lesson 1: Fruit stall kilograms and grams Lesson 2: Market stall scales Lesson 3: Puppy masses Lesson 4: Mass on the menu
2
16 17 18 19 20 21 22 23 24 25 26 27
Unit 3 Week 1: Number – Addition and subtraction Lesson 1: Adding 1s Lesson 2: Adding 10s Lesson 3: Adding 100s Lesson 4: Solving word problems (2) Week 2: Number – Addition and subtraction Lesson 1: Subtracting 1s Lesson 2: Subtracting 10s Lesson 3: Subtracting 100s Lesson 4: Solving word problems (3) Week 3: Geometry – Properties of shape Lesson 1: Finding the right angles Lesson 2: Turning patterns Lesson 3: Giving and following directions Lesson 4: All sorts of angles
Page number 28 29 30 31 32 33 34 35 36 37 38 39
Unit 4 Week 1: Number – Multiplication and division, incl. Number and place value Lesson 1: Counting in 4s Lesson 2: 4 multiplication table Lesson 3: Doubling to find the 4 multiplication table Lesson 4: Multiplication and division Week 2: Number – Multiplication and division, incl. Number and place value Lesson 1: Counting in 8s Lesson 2: 8 multiplication table Lesson 3: Doubling to find the 8 multiplication table Lesson 4: Solving word problems (4) Week 3: Measurement (time) Lesson 1: Up to the minute Lesson 2: Using a time line Lesson 3: Roman numerals and 24-hour times Lesson 4: Timing tasks
48 49 50 51
Maths facts
52
40 41 42 43 44 45 46 47
3
Unit 1, Week 1, Lesson 1
2-digit numbers Understand the place value of 2-digit numbers Challenge
1
Challenge
2
1 Write the numbers shown by the Base 10. a
b
c
d
e
f
g
h
1 Write the numbers shown by the Base 10. a
b
c
d
2 Write the numbers that have been separated into 10s and 1s.
Challenge
3
a
50
4
b
30
9
c
7
40
d
9
70
f
80
3
g
50
0
h
3
60
i
50 9
e
2
20
j
8
90
1 Write these numbers in order, smallest first: 73, 13, 37, 33, 77, 17, 97, 7, 53 2 Draw this number line. Write the numbers from Question 1 on the number line. 0
50
3 Write another number in between each number on the number line.
4
4 Explain the place value of 2-digit numbers. Imagine you are writing this for children in the year group below you.
100
Unit 1, Week 1, Lesson 2
Partitioning 2-digit numbers Partition 2-digit numbers
Challenge
1
Challenge
2
Challenge
3
Example
Partition these numbers into 10s and 1s using Base 10 material.
20 + 6 = 26
a
14
b
19
c
28
d
35
e
23
f
31
g
29
h
18
i
34
j
46
Partition these numbers in as many ways as you can. Write the calculation each time. If you need to, use Base 10 material to help you. a
35
b
37
c
46
d
53
e
48
f
39
g
59
h
63
i
44
j
57
Example
1 Partition these numbers in as many ways as you can. Write the calculation each time. Use the pattern of the calculations to help you. a
57
b
68
c
71
d
88
e
42 40 + 2 = 42 30 + 12 = 42 20 + 22 = 42 10 + 32 = 42
95
2 Choose a number from Question 1 and explain the pattern of the calculations. 3 Find the missing numbers. a
+ 13 = 53
b
+ 25 = 45
c
d
+ 28 = 68
e
+ 42 = 92
f
30 +
= 76
= 89
h
= 74
i
20 +
= 57
g
50 +
60 +
+ 31 = 71
5
Unit 1, Week 1, Lesson 3
3-digit numbers Understand the place value of 3-digit numbers Challenge
1
Challenge
2
1 Write the numbers shown by the Base 10. a
b
c
d
e
f
1 Write the numbers shown by the Base 10. a
b
c
d
e
f
2 Write the numbers that have been separated into 100s, 10s and 1s. a Challenge
3
200 60 4
b
300 90 8
c
400 0 3
600 50 3
d
1 Write the numbers that have been separated into 100s, 10s and 1s. a
7 700 40
b
20 1 900
c
5 500 70
d
3 60 100
2 I’m thinking of a number. The 100s digit is lower than 3, the 10s digit is odd and the 1s digit is 5. Write as many possible answers as you can. 6
Unit 1, Week 1, Lesson 4
Ordering numbers to 1000 Order numbers to 1000 Challenge
1
1 Order each set of numbers, smallest to largest. a
54, 21, 87, 39
b
66, 25, 93, 12
c
74, 47, 17, 14, 41
d
105, 95, 107, 100, 101
2 These numbers are in order. What could the missing numbers be? , 15, 38,
a c Challenge
2
93,
, 100,
, 55 , 107
b
78,
d
100,
, 84,
,
, 112, 120,
1 Order each set of numbers, smallest to largest. a
142, 102, 241, 214, 204
b
214, 254, 223, 256
c
218, 327, 265, 376
d
362, 284, 155, 237
e
271, 207, 317, 301, 377
f
413, 314, 354, 412, 241
2 Use the digit cards to make six different 3-digit numbers. Now put the numbers in order, smallest to largest. Challenge
3
1 Order each set of numbers, smallest to largest. a
634, 701, 792, 751, 603
b
701, 638, 739, 822, 811
c
912, 219, 903, 293, 921
d
875, 578, 998, 987, 919
2 a Use these digit cards to make all the possible 3-digit numbers. Explain how you know you have all the possible numbers. b Now put the numbers in order, smallest to largest.
4 7
Unit 1, Week 2, Lesson 1
Adding 2-digit numbers Add mentally two 2-digit numbers Challenge
1
1 Work out these calculations. Copy the number lines to help you. a
23 ++1021 +10
+10
+1
+10
+1
b
+10
23
27
23
27
c
27 + +10 22
34 + 25
d
+10
+2
+10
+2
37 + 31
+10
+10
+5
+10
+10
+10
+1
+10
+10
+5
+10
+10
+10
+1
34
37
34
37
2 Now draw number lines for these calculations. a Challenge
2
35 + 23
b
44 + 32
c
41 + 27
d 38 + 26
1 Work out these calculations. Show your working out. a
36 + 27
b
43 + 38
c
47 + 32
d 53 + 28
e
59 + 34
f
65 + 26
g
61 + 54
h 72 + 45
2 Can you work out these calculations mentally, without a number line? a Challenge
3
89 + 43
b
85 + 57
c
75 + 45
d 93 + 38
1 Work out these calculations. Show your working out. a
74 + 58
b
83 + 65
c
89 + 76
d 93 + 66
e
68 + 83
f
49 + 78
g
94 + 57
h 83 + 85
2 Find the missing numbers. + 64 = 93
a d 8
68 +
= 115
b
+ 46 + 87
c
e
+ 73 = 126
f
53 +
= 99 + 62 = 134
Unit 1, Week 2, Lesson 2
Adding to 3-digit numbers Add mentally 1s and 10s to a 3-digit number Challenge
1
40
26 3
23 50
10
44
5
7
41 30
32
Examples
1 Choose a 2-digit number and a 1s number from the circles. Write down the calculation. Do this ten times.
26 + 5 = 26 + 50 =
2 Choose a 2-digit number and a tens number from the circles. Write down the calculation. Do this ten times. Challenge
2
3
80
582
373
50
7
407
60
8
134
5
226 40
70
1 Choose a 3-digit number and a 1s number from the circles. Write down the calculation. Do this ten times.
3
9
567
90 50
856 976
80
70 8
799
1 Choose a 3-digit number and a 1s number from the circles. Write down the calculation. Do this ten times. 2 Choose a 3-digit number and a 10s number from the circles. Write down the calculation. Do this ten times.
9
Examples 373 + 7 = 373 + 50 =
2 Choose a 3-digit number and a 1s number from the circles. Write down the calculation. Do this ten times. Challenge
20
8
4
6
60 7
5 681
Examples 681 + 8 = 681 + 70 =
3 Write six different 3-digit add 10s calculations that equal 586. 9
Unit 1, Week 2, Lesson 3
Subtracting 2-digit numbers Subtract mentally two 2-digit numbers Challenge
1
1 Work out these calculations. Copy the number lines to help you. a
35 – 13
25 – 12
b
–3
–10
–2
–10
25
35
c
29 – 16
37 – 21
d
–6
–10
–1
–10
–10
29
37
2 Now draw number lines for these calculations. a Challenge
2
35 – 23
b
42 – 21
c
48 – 32
d 54 – 27
1 Work out these calculations. Show your working out. a
47 – 24
b
45 – 28
c
53 – 25
d 57 – 32
e
63 – 27
f
67 – 29
g
74 – 38
h 82 – 45
2 Can you work out these calculations mentally? a Challenge
3
81 – 43
b
86 – 57
c
d 91 – 28
1 Find the missing number in each calculation. a d
75 –
= 32
b
– 45 = 37
e
83 –
2 Explain how you worked these out. 10
75 – 34
= 47
c
– 28 = 63
f
91 –
= 55 – 34 = 59
Unit 1, Week 2, Lesson 4
Subtracting from 3-digit numbers Subtract mentally 1s and 10s from 3-digit numbers Challenge
1
28
7
51
46
20
40
30
10
6
2
32
3
59
1 Choose two numbers from the circles and write a 2-digit number subtract a 1s number calculation. Do this ten times.
Examples 26 – 5 = 26 – 50 =
2 Choose two numbers from the circles and write down a 2-digit number subtract a 10s number calculation. Do this ten times. Challenge
70
2
9 252
5
60 7
8
314
507
50
4
275
50
3
40
486
80
1 Choose two numbers from the circles and write a 3-digit number subtract a 1s number calculation. Do this ten times.
Examples 373 – 7 = 373 – 50 =
2 Choose two numbers from the circles and write a 3-digit number subtract a 10s number calculation. Do this ten times. Challenge
3
803
90 70
8
649
60 50
7
682 5
1 Choose two numbers from the circles and write a 3-digit number subtract a 1s number calculation. Do this ten times. 2 Choose two numbers from the circles and write a 3-digit number subtract a 10s number calculation. Do this ten times. 3 Write six different 3-digit subtract 10s calculations that equal 463.
80
511
9 6
753
Examples 681 – 8 = 651 – 70 =
11