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Transcript
+ −×÷ i
Progression in Multiplication
Whitley Excellence Cluster
May 2014
+ −×÷ i
Multiplication - Reception
•
Count in 2s
2 4 6 8 10
1
Five pairs of socks. Ten socks
2
3
Count on in 10s (and
back) from a given tens
number
5
6
7
8
9
10
Point to a number track, saying
every other number aloud.
40
•
4
50
30
20
Multiplication – Year 1
•
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Count in 2s, 10s and 5s
2
4
6
8
10
Double 4
is 8
How many
gloves in 3
pairs?
•
Understand
doubling
Multiplication – Year 2
•
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Count in 2s, 10s and 5s, recording on a number line
5 + 5 + 5 + 5 = 20
5 x 4 = 20
5 multiplied by 4 is 20
0
•
5
10
15
20
2 hops of 4
Introducing arrays
4
4 x 2 = 8
2 x 4 = 8
4
8
0
2
2
2
4 hops of 2
2
Multiplication – Year 2
•
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Count in 2s, 10s and 5s, recording on a number line
5
+ 5 + 5 + 5 = 20
Five 4 times
5 x 4 = 20
5 multiplied by 4 is 20
0
•
5
10
15
20
2 hops of 4
Introducing arrays
4
4 x 2 = 8
2 x 4 = 8
4
8
0
2
2
2
4 hops of 2
2
Multiplication – Year 2
•
•
Arrays
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8 x 5 = 40
5 x 8 = 40
•
8
5
16
10
24
15
Count in 2s, 10s, 5s, 3s and 4s,
recording on a number line
Begin to recognise these as
tables facts
0
Use a number line to show answers
20
32
25
•
4
8
12
10 and
double 8
18
35
16
Use partitioning to double
numbers
Double 18
Double
40
30
+ −×÷ i
40
10
+
8
20
+
16
=
36
Multiplication – Year 3
•
•
Using arrays to show partitioning
when multiplying TU x U
3
7
10 x 3 = 30
7 x 3 = 21
Leading to the simple grid method
for TU x U
30 + 21 = 51
•
Informal jottings supporting mental
multiplication using partitioning
17 x 3 = (10 x 3) + (7 x 3)
10
30 + 21 = 51
•
+ −×÷ i
x
10
7
3
30
21
= 51
=
30
=
51
+
21
Start with
ones
17
X3
2 1 (7x3)
3 0 (10x3)
51
Tables facts for 2x, 3x, 4x, 5x and 10x tables. Counting in 6s, 7s, 8s and 9s.