Student Matrix for Number
Name:
Stage 4
Knowledge
Read and order any
number up to 100
17, 26, 38, 71
Count forwards and
backwards from any
number up to 100
34, 35, 36…
75, 74 ,73.
Know doubles and halves
to 20
3 + 3, 6 – 3
½ of 6
Know number of 10’s in
decades
Six 10’s in 60
Strategy
ADDITION
Solve + problems by
counting on from the
largest number in my head
16 + 3 =
SUBTRACTION
Solve – problems by
counting back from the
largest number in head
32 – 3 =
MULTIPLICATION
Solve problems by skip
counting in 2’s, 5’s, 10’s.
4x5=
FRACTIONS
Find ½ and ¼ of sets and
shapes by equal sharing.
½ of 8 =
Read symbols for the
fractions
1/2 1/4 1/3
1/5 1/10
Skip count forwards and
backwards in 2’s, 5’s &
10’s top 100.
2, 4,6,8…100
5,10,15…100
10,20,30..100
Solve + and – problems by
counting on and back in
ones and tens.
36 + 40 =
Stage 5
Knowledge
Read and order any
number up to 1000
333, 479, 983
Count forwards and
backwards by 1’s, 10’s,
100’s
325, 335,...1000
Know groupings of 10’s in
a 3 digit number
327 = 32 tens
Order fractions with the
same denominators
¼ ¾
Know unit fractions
1/2 1/4 1/3
1/5 1/10
Say the number
1 more/less, 10 more/less,
100 more/less-145 155Skip count forwards &
backwards in 3’s
3,6,9,12(as well as in 2’s,
5’s 10’s)
Know multiples of 10 that
add to 100
30 + 70 = 100
Know addition &
subtraction facts to 20
Know teen number facts
10 + 6 = 16
10 + ? = 18
Round 3 digit numbers to
the nearest 10 or 100
eg.246 - 250
Know groupings within 100
43 and 57
Know groupings within 20
17 + 3 4 + 16
Know addition &
subtraction facts to 10
4 + 3= 7
7-3=4
Say the number after and
before a number in the
range 1- 100
54, 55, ____
___ 54, 55
Know multiples of 100 that
add to 1000 eg. 400 and
600
Know multiplication &
division facts for x2, x5,
x10
Strategy
ADDITION &
SUBTRACTION
Solve simple problems
mentally using basic facts
they know
Doubles: 8+7 = 8–1
Fives: 8+7=5+3+5+2
Making tens: 8+7=8+2+5
ADDITION &
SUBTRACTION
Solve 2 digit problems by;
Tidy numbers: 29+18 as
30+17
Place Value: 33+16 as
(30+10)+(3+6)
Back through the ten: 848 as 84-4-4
MULTIPLICATION &
DIVISION
Solve problems by;
Using repeated addition:
4x6 as (6+6)+(6+6) = 12 +
12 = 24
Using basic facts I know.
204=5 because 5+5=10
and 10+10=20
FRACTIONS
Find a fraction of a
number using halving or
deriving from an addition
fact I know: 1/3 of 12 is 4
because 3+3+3=9 so
4+4+4=12
Solve division problems
with remainders using
halving: 7 pies shared
among 4 people equals 1
pie each and half a pie
then quarter of a pie.
Stage 6
Knowledge
Read and order any
number up to 1 000 000
eg. 698,999
Know groups of 2’s, 3’s,
5’s and 10’s in numbers to
100 and any remainders
threes in 17 = 5 and 2
remainders
Know groupings of 10’s
and 100’s in a 4 digit
number.
4676 has 467 tens and 46
hundreds
Order unit fractions - 1/10,
1/8, ¼, ½
Read any fraction including
>1:
8/6, 4/5, 1 1/3
Say the number 1, 10, 100
and 1000 more or less
654, 754, 854 8432, 7432
Recall all basic
multiplication facts
3 x 8 = 24, 7 x 7 = 49
Know what happens when
you multiply by 1, 0 or 10
eg. 14 x 10 = 140
Round whole numbers to
the nearest 10, 100, 1000
eg. 5568
6000
Know groupings within
1000 Eg.455 and 555, 200
and 800
Read decimals to 3
decimal places eg. 0.764
Round decimals to the
nearest whole number
3.49 is 3
Strategy
ADDITION & SUBTRACTION
Solve 2 and 3 digit problems
by;
Compensation: 394 + 79 as
(394 +80) – 1
Place Value Partitioning: 394
+ 79
as 390
+ 70 + 9 + 4
Reversibility: 403 – 97 as 97
+ ? = 403
Equal Additions: 403 – 97 as
406 – 100
Use the standard written form
for Addition and Subtraction
4394
2403
+ 579
-1097
MULTIPLICATION & DIVISION
Solve problems by;
Doubling: 8 x 3 as 2 x (4 x 3)
Adding and Subtracting 8 x 3
as (7 x 3) + 3
Reversing: 63  9 as 9 x ? =
63
Doubling and Halving: 3 x 12
as 6 x 6
Rounding/Compensation: 9 x
6 as (10 x 6) – 6
Multiplying by tens and
hundreds:
as 70 x 5 as 7 x 5 x 10
FRACTIONS
Find fractions of whole
numbers
¾ 0f 24 = ?, ¾ of what is 21?
Solve simple equivalent ratio
and rate problems 2 : 3 so ? :
6
Compare fraction sizes with
whole numbers 37/7 = 5 2/7
Stage 7
Knowledge
Recall division facts up to
the 10 times tables
Find the least common
factor and highest common
multiples, e.g. 6 is the HCF
of 24 and 42
Read and order fractions
with different
denominators, e.g. 2/5 ‹
7/16 ‹1/2
Round whole numbers and
decimals with up to two
places to the nearest
whole number or 1/10, e.g.
rounds 6.49 to 6.5 (nearest
tenth)
Know fraction to decimal
percentage conversions for
½’s, ¼’s, 1/5’s, 1/8’s,
1/10’s, 1/3’s, e.g. 3/5 = 0.6
= 60%
Know square numbers to
100, and the
corresponding roots, e.g.
7² = 49, √49 = 7
Strategy
ADDITION &
SUBTRACTION
Solve problems by:
Compensation: 3.2 + 1.95
= 3.2 + 2 – 0.05 = 5.2 –
0.05 = 5.15
Standard place value
partitioning: 6.03 – 5.8 =
? as 6.03 – 5 – 0.8 = 1.03 –
0.8 = 0.23 or reversibility
5.8 + ? = 6.03
Commutativity: ? + 3.98 =
7.04 as 3.98 + ? = 7.04, ?
= 0.02 + 3.04 = 3.06
Partitioning fractions: 3/4
+ 5/8 = (3/4 + 2/8) + 3/8 = 1
3/8
Using factors: 81 – 36 =
(9x9) – (4x9) = 5x9
Averaging: 28 + 33 + 27
+ 30 + 32 = 5 x 30
Equivalent operations on
integers: + 7 - - 3 = + 7 +
+ 3 = + 10
MULTIPLICATION &
DIVISION
Solve problems by:
Place value partitioning:
24 x 6 = (20 x 6) + (4 x 6)
or rounding and
compensating: 25 x 6 -6
Reversibility and
rounding with
compensation: 4 x 25 =
100, so 92 ÷ 4 = 25 – 2 =
23
Rounding and divisibility:
90 ÷ 5 = 18 so 87 ÷ 5 = 17
r2
Divisibility rules: 201 ÷ 3
as 100 ÷ 3 = 33 r1, 200 ÷ 3
= 66 r2, 201 ÷ 3 = 67
RATIOS &
PROPORTIONS
Solve problems by:
Using common factors to
multiply between and
within ratios: 8:12 as ?:
21 as 8:12 = 2:3 (common
factor 4) so 2:3 = 14:21
(multiplying by 7)
Partitioning fractions and
percentages: 85% of 36 =
? as 10% of 36 = 3.6, 5%
of 36 = 1.8, so 36 – 3.6 –
1.8 = 30.6