Primary National Strategy Peterborough
1999 Framework: (Curriculum Guidance for Foundation Stage page 80 , NNS Section 4 page 20,
NNS Section 5 page47 and 66 - 71, NNS Section 6 page 52-53,66-67 and 82-87, Year 7 Page 26)
Year / Group Target /Outcomes
Reception / Must / Show an interest in number problems. / Most pupils will be able to:How many wheels do we need for these three lego cars?
How many buttons will we have if these two boxes have 3 in each?
How many smarties do we need if we want to put 2 on each of these 5 cakes?
Higher attaining pupils will also be able to:
Tina scored double 6 on her two dice, what was her score?
Apples are 8p each, what do two apples cost?
Three children have 5 plums each, how many are there altogether?
Should / Be able to solve simple practical problems involving equal groups.
Could / Be able to solve practical problems involving equal groups and doubling.
as Year R and Year 1 / Must / Be able to solve simple problems involving equal groups. / Most pupils will be able to:
Tina scored double 6 on her two dice, what was her score?
Apples are 8p each, what do two apples cost?
Three children have 5 plums each, how many are there altogether?
Higher attaining pupils will also be able to:
5 people have 4 cakes each, how many do they have altogether?
There are 2 red beads and 4 blue beads on a necklace, how many beads are on 10 necklaces?
Eg. 2 x 4 = 8
4 x 2 = 8
Should / Be able to solve practical problems involving equal groups and doubling.
Could / Understand that multiplication can be depicted using an array and describe an array using number sentences.
Year / Group Target /
Outcomes
as Year 1 and Year 2 / Must / Be able to solve practical problems involving equal groups and doubling. / Most pupils will be able to:5 people have 4 cakes each, how many do they have altogether?
There are 2 red beads and 4 blue beads on a necklace, how many beads are on 10 necklaces?
2 x 4 = 8
4 x 2 = 8
Higher attaining pupils will also be able to:
A spider has 8 legs, how many legs do 5 spiders have?
Now work out how many legs 7 spiders have?
Dad bought 3 packets of cornflakes for 70p each, what was his change from £3?
□□□□□
□□□□□ 5x3=15
□□□□□
3x5=15
6 x 4 is 6+6+6+6 =24 0r 4 lots of 6 or 4 times 6
0 6 12 18 24
Should / Understand that multiplication can be depicted using an array and describe an array using number sentences.
Could / Recognise that multiplication is the inverse of division through missing number sentences/ function machines.
as Year 2 and Year 3 / Must / Understand that multiplication can be depicted using an array and describe an array using number sentences. / Most pupils will be able to:
A spider has 8 legs, how many legs do 5 spiders have?
Dad bought 3 packets of cornflakes for 70p each, what was his change from £3?
□□□□□
□□□□□ 5x3=15
□□□□□
3x5=15
6 x 4 is 6+6+6+6 =24 0r 4 lots of 6 or 4 times 6
0 6 12 18 24
Higher attaining pupils will also be able to:
Understand that if 4x 6 = 24 then 24 ÷ 6 = 4 and 24 ÷ 4 = 6
Eg. x 20 3
8 / 160 / 24
160+24 = 184
Should / Recognise that multiplication is the inverse of division through missing number sentences/ function machines.
Could / Understand that multiplication is the inverse of division and the equivalent to repeated addition and use this to check results. Use grid method to calculate TU x U.
Year / Group Target /
Outcomes
as Year 3 and Year 4 / Must / Recognise that multiplication is the inverse of division through missing number sentences/ function machines. / Most pupils will be able to:Understand that if 4x 6 = 24 then 24 ÷ 6 = 4 and 24 ÷ 4 = 6
23 x 8
Eg. x 20 3
8 / 160 / 24
160+24 = 184
Higher attaining pupils will also be able to:
346 x 9
X 300 40 6
9 / 2700 / 360 / 54
2700 + 360 + 54 = 3114
72 x 38
x 70 2
30 / 2100 / 60
8 / 560 / 16
2100 + 560 + 60 + 16 = 2736
commutative law: 34 x 5 = 5 x 34
distributive law: 34 x 56 = (30 x 50) + (30 x 6) + (4 x 6) + (4 x 50)
Should / Understand that multiplication is the inverse of division and the equivalent to repeated addition and use this to check results. Use grid method to calculate TU x U.
Could / Understand and use the principles (but not the names) of the commutative and distributive law as they apply to multiplication. Use grid method to calculate HTU x U or TU x TU.
as Year 4 and Year 5 / Must / Understand that multiplication is the inverse of division and the equivalent to repeated addition and use this to check results. Use grid method to calculate TU x U. / Most pupils will be able to:
346 x 9
X 300 40 6
9 / 2700 / 360 / 54
2700 + 360 + 54 = 3114
72 x 38
x 70 2
30 / 2100 / 60
8 / 560 / 16
2100 + 560 + 60 + 16 = 2736
commutative law: 34 x 5 = 5 x 34
distributive law: 34 x 56 = (30 x 50) + (30 x 6) + (4 x 6) + (4 x 50)
Higher attaining pupils will also be able to:
4.9 x 3
X 4 0.9
3 / 12.00 / 2.70
364 x 34
X 300 60 4
30 / 9000 / 1800 / 120
4 / 1200 / 240 / 16
associative law: 12 x 14 = 12 x ( 2 x 7) = (12 x 7) x 2 = 84 x 2
Should / Understand and use the principles (but not the names) of the commutative and distributive law and then apply to multiplication. Use grid method to calculate HTU x U or TU x TU.
Could / Understand and use the principles (but not the names) of the commutative, distributive and associative laws as they apply to multiplication. Use the grid method to calculate ThHTU x U, HTU x U or decimals to 1 decimal place.
Year / Group Target /
Outcomes
as Year 5 and Year 6 / Must / Understand and use the principles (but not the names) of the commutative and distributive laws as they apply to multiplication. Use grid method to calculate HTU x U or TU x TU digit. / Most pupils will be able to:4.9 x 3
X 4 0.9
3 / 12.00 / 2.70
12 + 2.7 = 14.7
364 x 34
X 300 60 4
30 / 9000 / 1800 / 120
4 / 1200 / 240 / 16
9000 + 1800 + 120 + 1200 + 240 + 16 = 12 376
associative law: 12 x 14 = 12 x ( 2 x 7) = (12 x 7) x 2 = 84 x 2
Higher attaining pupils will also be able to:
4 x 3.62
X 3 0.6 0.02
4 / 12 / 2.4 / 0.08
12 + 2.4 + 0.08 = 14.48
Should / Understand and use the principles (but not the names) of the commutative, distributive and associative laws as they apply to multiplication. Use the grid method to calculate HTU x TU or ThHTU x U or decimals to 1 decimal place.
Could / Use the grid method to multiply decimals with up to 2 decimal places by a single digit.