ADDITION
STATUTORY EXPECTATIONS
Rapid Recall/Mental Calculations
Non-statutory guidance
Count … from 1-20 …
Practical or recorded using ICT.
Pictures/Objects
Symbolic
Might be
and say which no. is
Hannah … listed how many girls and how many boys
I eat 2 cakes and my friend eats 3.
8 people are on the bus. 5 more get on at the
recorded as:
1 more than a given
were outside. [She] was able to say that “There are 5 girls
How many cakes did we eat altogether?
next stop.
no. Using quantities
2 + 3 = 5
and 4 boys. That’s 9 altogether”.
How many people are on the bus now
objects, + two U nos
YR
and count on to find
When playing in the shop Christopher used his shopping
the answer.
list to add 2 amounts. He said “the beans are 5 pence
[Expected] Estimate
and the bananas are 3 pence, altogether that is 8 pence.”
no. of objects; check
[Might be recorded as: 8 + 5 = 13]
[EYFS Profile exemplifications,
STA]
quantities by counting
up to 20. [Exceeding]
Pupils use concrete objects and
Add
(and subtract)
Practical/recorded
Visual
Visual (efficient jumps)
Use known
Represent/use number bonds
Memorise/reason with bonds to
one-digit and two-digit
using ICT
(modelled using bead strings)
facts/partitioning
(and related subtraction facts)
pictorial representations
10/20 in several forms (eg 9 + 7
numbers to 20 (9 + 9,
13 + 5 = 18
within 20.
= 16; 16 - 7 = 9; 7 = 16 - 9).
(eg place value counters, Dienes)
Pictures/Symbolic
13 + 5 = 18
18 -
9), including zero
[jumps may be in 1s]
8 + 5 = 13
Pupils should realise the effect
(see above)
Missing number problems
of adding or subtracting zero -
Read/write/interpret
(eg 16 = ? + 9)
Y1
Problems should include terms: put
8 + 2 = 10
establishes +/- as related
statements involving
10 + 3 = 13
together, add, altogether, total, take
operations.
addition (+),
away, distance between, more than and
subtraction (-)
and
Pupils combine and increase
less than, so pupils develop concept of
equals (=) signs.
numbers, counting forwards
+/- and use operations flexibly
.
and backwards.
Recognise/use inverse
Practical/visual images
Visual (efficient jumps)
Partitioning
Recall and use addition facts to
TU + U
Recording addition in
Pupils extend understanding of
relationship between +/-
20 fluently.
TU + tens
columns supports place
the language of + to include
58 + 30 = 88
35 + 47= 82
35 + 47 = 82
and use to check calcs
Derive and use related facts up
TU + TU
value and prepares for
sum.
and missing number
to 100.
U + U + U
formal written methods
40 + 30 = 70
Practise + to 20 to derive facts
problems.
No number line
with larger numbers.
7 + 5 = 12
such as using 3 + 7 = 10 to
[Show addition of two
Solve problems by applying
Pupils use concrete
47 + 35 = 82
calculate 30 + 70 = 100, 100 -
numbers can be done
increasing knowledge of mental
Y2
42 + 35 = 77
objects, pictorial
70 = 30 and 70 = 100 - 30.
in any order.]
methods.
Check calcs, including by
representations and
40+30= 70
adding numbers in a different
2+5= 7
mental strategies.
order to check +.
(eg place value
70 + 7 = 77
Establishes commutativity and
counters, Dienes)
associativity of addition.
Use formal written
Number line
57 + 285 = 342
No number line
47
vertical
HTU + U; HTU + tens
Expanded
Compact
Estimate answers and use
methods of columnar
Vertical
+35
47
HTU + hundreds
inverse to check.
57 + 285 = 342
12
+35
addition.
Use number facts and place
70
82
Y3
value to solve problems.
TU + TU
285 + 50 = 335
82
1
HTU + TU
335 + 7 = 342
For mental calcs with TU nos,
HTU + HTU
answers could be >100.
Use formal written
Expanded vertical
5735 + 562 = 6297
5735 + 562 = 6297
Solve addition two-
Pupils continue to practise both
Pupils build on their
Estimate and use
789 + 642 = 1431
methods of columnar
step problems in
mental methods and columnar
understanding of place value
inverse operations to
789 + 642 = 1431
addition.
contexts, deciding
addition and subtraction with
and decimal notation to record
check answers to a
which operations and
increasingly large numbers to
metric measures, including
HTU + HTU
calculation.
methods to use & why.
aid fluency.
money.
ThHTU + HTU
Y4
Estimate, compare and
Solve simple measure
ThHTU + ThHTU
calculate different
and money problems
measures, including
involving fractions and
money in pounds and
decimals to 2dp
pence.
Add whole numbers
vertical
vertical
Add numbers mentally with
Use rounding to check answers to calculations
Solve problems involving number up to 3dp.
Expanded
Compact
Pupils practise adding
They extend their knowledge of
>4 digits, including
increasingly large numbers
decimals, including a mix
fractions to thousandths and
and determine, in the context of a problem,
23.70
Solve problems involving converting between
using formal written
23.70
(eg 12462 + 2300 = 14762).
of whole numbers and
connect to decimals and
levels of accuracy.
+ 48.56
units of time. [Measurement]
methods (columnar
+ 48.56
decimals, decimals with
measures.
Solve addition multi-step problems in contexts,
0.06
72.26
Pupils mentally add tenths, and
addition).
different numbers of
Pupils should go beyond the
deciding which operations and methods to use
Y5
Use all four operations to solve problems
1.20
one-digit whole numbers and
decimal places, and
measurement and money
and why.
involving measure [eg length, mass, volume,
Decimals up to 2dp
11.00
1 1
tenths.
complements of 1.
models of decimals (eg by
money] using decimal notation including
(eg 72.5 + 45.7)
60.00
solving puzzles.
scaling. [Measurement]
72.26
Solve multi-step
Use estimation to check
Use knowledge of the
vertical
vertical
Perform mental calculations,
Solve problems which require answers to be
Expanded
Compact
Pupils develop skills of
problems in contexts,
answers to calculations
order of operations to
3.243 + 18.070 =
including with mixed operations
rounded to specified degrees of accuracy.
21.313
rounding/estimating to
3.243
deciding which
and determine, in the
carry out calculations
and large numbers.
[Fractions]
predict/check order of
3.243
+ 18.070
operations/methods
context of a problem, an
involving subtraction.
Using the number line, pupils
magnitude of ans to decimal
+ 18.070
Solve problems involving the calculation and
to use and why.
appropriate degree of
Y6
add positive and negative
calcs. Includes rounding
0.003
21.313
conversion of units of measure, using decimal
Decimals up to 3dp
accuracy.
integers for measures such as
answers to a degree of
0.110
(Context: Measures)
notation to 3dp where appropriate. [Measurement]
temperature.
accuracy & checking
0.200
1
1
reasonableness.
21.000