Year 4

Year 5

Year 5 / 6

Year 6

Year 7

Year 7 / 8

Advanced

Basic

Proficient

Advanced

Basic

Proficient

Multiplication – using equal sets/ factors

I can solve a multiplication problem by using repeated addition more efficiently, like

4 x 6 = □

As 6 + 6 = 12

12 + 12 = 24

So □ =24

5 x 5 = □

As 10 + 10 + 5 = 25

6 x 5 = □

As 15 +15 = 30

I  can solve a problem by using my x2, x5, x10 multiplication facts and adding or taking a little bit more ( compensating), like

6 x 5 = □

5 x 5 = 25

1 x 5  =5

25 + 5 = 30

So □ =30

4 x 6 = □

5 x 6 =30

1 x 6 = 6

30 – 6 = 24

So □ = 24

Or 4 x 6 = □

(5 x 6 ) – (1 x 6 )

30 - 6 = 24

I can use multiplication facts I know to solve larger  multiplication problems by rounding and compensating, like

4 x 30 =120

So  4 x 28 is

120 – (2 x 4)

120 – 8 =112

Year 4

Year 5

Year 5 / 6

Year 6

Year 7

Year 7 / 8

Advanced

Basic

Proficient

Advanced

Basic

Proficient

Doubling and halving / trebling and thirding

I can use my x 10 tables to work out my x 5 tables, like

2 x 10 = 20 so 4 x 5 = 20

I can use a doubling and halving strategy to solve multiplication fact problems, like

4 x 3 = □ as

4 x 3 =  2 x 6

So  □ = 12

4 x 8 = □ as

4 x 8  =  2 x 16

So  □ = 32 using my knowledge of doubles

I can use a doubling and halving strategy to solve multiplication problems, like

14 x 4 = □ as

14 x 4 = 7 x 8

So  □ = 56

I can solve division problems by

using a doubling and halving strategy, like

32 ÷ 8 = □ as

32 ÷ 16 = 2

 so □ = 4

I can use a trebling and thirding strategy to solve multiplication problems, like

3 x 18 = □ as

9 x 6 = 54

I can solve division problems by

using a doubling and halving strategy, like

64 ÷ 4 = □ as

64 ÷ 8 = 8

So  □ is 16

because double 8 is16

or

64 ÷ 4 = □ as

64 ÷ 2 = 32

So  □ is 16

because halve of 16 is 8

or

170 ÷ 5 =  □ as

170 ÷ 10 = 17

     So □ = 34

because double 17 is 34

I can use the doubling and halving strategy to solve multiplication problems with large numbers, like

6 482  x 5 = □ as

6 482  x 5 = 3 2 4 1 x 10

So  □ = 32 410

I can use a trebling and thirding to solve multiplication problems, like

180  x 6 = □ as

 60 x 18  = 30 x 36 as 10 x 108

10 x 108 = 1080

So □ = 108

Year 4

Year 5

Year 5 / 6

Year 6

Year 7

Year 7 / 8

Advanced

Basic

Proficient

Advanced

Basic

Proficient

Place value partitioning

I can use a place value partitioning strategy to solve multiplication problems, like

6 x 12 as

  (6 x 10 )

+ (6 x 2) = 72

I can use a place value partitioning strategy to solve multiplication problems using tens and ones, like

5 x 68 as

  (5 x 60)

+(5x8)

300 + 40 = 340  

or

x      60         8

5           300  +  40 = 340

I can use a place value partitioning strategy to solve multiplication problems using hundreds, tens, and ones, like

8 x 236 as

(8 x 200)  + ( 8 x 30) + ( 8 x 6)

1600 + 240  + 48 = □

1840 + 48 = 1888

or

x      200       30       6

8            1600  +  240 + 48 = 1888

I can use standard written form to record my multiplication problems, like

         68

           5 x

          40   -- 5 x 8

        300   --5 x 60

        340

I can use standard written form to record my multiplication by a single digit problems, like

         68

           5 x

        340

Or

         875

             6 x

       5250

Year 4

Year 5

Year 5 / 6

Year 6

Year 7

Year 7 / 8

Advanced

Basic

Proficient

Advanced

Basic

Proficient

Exponents

I can solve problems using simple square numbers and can draw what they represent and make a table to show the pattern numerically, like

             as 4 x 4 =

 16

and draw the pattern to show this  

I can solve problems using simple cube numbers and can build what they represent and make a table to show the number  pattern, like

              as  3 x 3 x 3 = 27 and draw the pattern to show this

I can solve problems by knowing the that adding the exponent of the factor gives the exponent of the product and can use a table to show the link, like

64 x 8 =512

x =

2x 2x 2x 2x 2x 2x 2x 2x 2=512

Or

X         =

3 x 3 x 3 x 3 x  3 =243

Year 4

Year 5

Year 5 / 6

Year 6

Year 7

Year 7 / 8

Advanced

Basic

Proficient

Advanced

Basic

Proficient

Division by using equal shares

I can solve problems by making equal shares and linking them to x2 x5 x10 multiplication facts, like

40 ÷ 5 = 8

because I have shared 40 into 5 sets of 8  so I know

5 x 8 = 40

8 x 5 = 40

40 ÷ 5 = 8

40 ÷ 8 = 5

I can solve division problems with numbers up to a 100 by using a reversing strategy, like

63 ÷ 7 = 9 because 9 x 7 = 63

                Or  

I can solve division problems which have remainders, like

43  ÷ 5 = 8 r 3 because

5 x 8 = 40 with 3 left over

Or 39 ÷ 4 = 9 ¾  or 9.75

I can solve division problems which have remainders, like

472 ÷ 5 = 94 r2 or 94 2/5 or 94.4

I can use standard written form to record my division problems, like

Or

                  Partitioned as

                            = 23

 can use standard written form to record my division problems, like