# How we teach multiplication

```Progression of multiplication at Adelaide Primary School
(in response to the New Primary Curriculum 2014)
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Foundation stage
22-36 months:
30 – 50 months:
Compares two groups of
objects, saying when they
have the same number.
40-60+ months:
Early Learning Goal:
They solve problems, including doubling, halving and sharing.
FSU
30 – 50 months:
Early learning goal
Compares two groups of objects, saying when they have the same number.
They solve problems, including doubling, halving and sharing.
Saw this maths game and really liked it
Year 1
Concrete apparatus in arrays
Double
Multiplication is introduced. Children count repeated equal groups.
Solve one step problems
Children learn how to double and half
amounts of objects. They learn all doubles to 5
off by heart.
Count in 2s, 5s, 10s
4
4
4
Children learn to count in 2s, 5s and 10s off by heart.
If there are 4 chips in one packet. How many are there in 3 packets?
Year 2
Doubles and halves
Multiplication as repeated groups, repeated jumps,
Children learn how to find doubles and
halves.
They know that doubling is the inverse of
halving.
They learn doubles of numbers to 10 off by
heart.
Informal written methods
Children make groups to calculate multiplications. They
Children show jumps on a number line.
They can then move to just recording the repeated
Mental recall of facts
They learn the 2, 5 and 10 times table facts by heart to the 12th
multiple.
Applying knowledge
They understand the commutative rule.
They sort multiples
They show their understanding
They solve problems
Use of money (2p, 5p, 10p) really useful.
Year 3
Mental recall of facts
Informal written methods
Review year 2 methods.
Use practical and visual representations of arrays and jumps to develop understanding
They learn the 3, 4 and 9 times table facts by heart
to the 12th multiple.
Other tips
Using commutativity
4 x 12 x 5 =
4 x 5 x 12 =
20 x 12 = 240
Derive related facts
2x3=6
20 x 30 = 60
3x2=6
30 x 20 = 60
6&divide;3=2
60 &divide; 30 = 20
6&divide;2=3
60 &divide; 20 = 30
Formal written methods (short multiplication)
Progressing (when children are ready) to efficient written method. Short multiplication.
4x3=
Year 4 onwards
Formal written methods
Choose numbers carefully
to begin with
Can move to no brackets when ready
Then move to carrying
Year 6 moving to decimals
Then move to larger numbers
Useful web sites
http://www.taw.org.uk/lic/itp/remainders.html
- All National Strategy ITPs with explanations
http://www.snappymaths.com/multiplication/earlymult/earlymult.htm
- Really nice early multiplication resources for whiteboard and worksheets to print.
http://www.iboard.co.uk/activities/page/2/subject/maths/years/4-7
- Really quality interactive games and demonstration tools
```