Scottish Survey of Literacy &
Numeracy
Support Material
Produced by Education Scotland
Transforming
Transforming lives
lives through
through learning
learning
17
x
42
x
x
23
Multiplying beyond the tables
Survey type question
5 x 42
• just over 1 in 4 answered correctly
Reflective Questions:
• difficulties ?
• learning and teaching ?
Milestones of progression
• multiplication as a picture
• always a rectangle
4x3
3x4
Reflective questions
• 3x4 same as 4x3 ?
• What is the same as 2x9 ?
• 9 times table in P4 ?
• Reducing table facts ?
•
2
3
3 squared
3x3 ?
5 x 42
5 coaches with 42 in each
Beyond the tables
6 x 17 =
(6 x 10)
1
2
3
4
5
6
7
(6 x 7)
8 9
1
10
1
1
2
2
3
4
5
6
60
+
3
4
5
6
6 x 17 =102
2
3
4
5
6
42
7
Algorithm
6 x 17 =
Reflective Questions
• 42 in the graphic ?
17
x6
42
+ 60
102
• 60 in the graphic ?
6 x 17 =102
(6 x 7)
(6 x 10)
✔
Refined Algorithm
6 x 17 =
17
x6
4
10 2
Pupil questions:
What multiplication for this ?
How to split this ?
What is 4x23 ?
or
5 x 42
Answer
Back to the coaches
Survey question
• 6 rugby shirts at £35 each
• 1 in 4 pupils answered correctly
Rectangle method
Reflective Question
other strategies ?
6
is double 3
x6
is x2 then x3
Check it works
6x4
double 4 then x3
3x8
what is the missing number
6x7 = 3 x
Rugby shirts
Making links
6 x £35 = 3 x £
Number line
35
0
35
70
35
35
70
35
35
70
0
210
210
Reflection
6 times table
double 3x table
5 x 42
42
42
Back to the coaches
42
0
42
42
42
42
42
Question:
5x42
5x26 ?
42
420
10x42
0
42
210
Table recall to 10
Chunking within 10
4x23
[23 = 10+10+3]
4x10
4x10
4x3
Link with the rectangle
Link with the number line
www.educationscotland.gov.uk