National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
WORK IN PROGRESS!
Please note that this chart is not complete. Only the lesson plans for the Autumn term have been finalised. The plans for the Spring and Summer terms are still a work in progress, and so the Spring
and Summer sections of this matching chart are subject to change. When all the lesson plans are finalised, this chart will be replaced with an updated version. Until then, we hope you will still find
this chart useful, as it should give you a good idea of the coverage of the Numeracy Framework you can expect from Abacus.
Strand and Element abbreviations
Reasoning
= Developing numerical reasoning
Number
= Using number skills
Measuring
= Using measuring skills
Data
= Using data skills
Identify
Represent
Review
Number facts
Fractions, etc.
Calculate
Estimate
Money
Length, etc.
Time
Temperature
Area etc.
Data
= Identify processes and connections
= Represent and communicate
= Review
= Use number facts and relationships
= Fractions, decimals, percentages and ratio
= Calculate using mental and written methods
= Estimate and check
= Manage money
= Length, weight/mass, capacity
= Time
= Temperature
= Area and volume / Angle and position
= Collect and record data / Present and analyse data / Interpret results
Text omitted from skills
In some instances, only part of a skill will be covered in an Abacus week. For example, in Abacus Year 1 Week 8, learners estimate, compare and measure lengths and heights using non-standard
and standard units. The skill that most closely matches this is:
Using measuring skills > Length, weight/mass, capacity > use non-standard units to measure: length, height and distance.
But since the distance part isn’t covered in this week, the skill is presented as follows:
 use non-standard units to measure:
 length, height [and distance]
Numerical reasoning skills
In Abacus, numerical reasoning is embedded throughout. (For example: problem solving and reasoning activities; ‘Think’ questions on workbook and textbook pages; group activities; interactive
problem solving and speaking and listening activities.) We don’t list numerical reasoning objectives in the lesson plans, because we would run out of space! For the same reason, we haven’t
included the Developing numerical reasoning skills in these charts.
Abacus weeks with no matching skills
There may be some weeks of Abacus for which there are no relevant skills. However, this doesn’t mean that those weeks don’t need to be taught. Not every element of the National Curriculum
mathematics programme of study is included in the LNF (e.g. Shape), but you will still need to cover the curriculum in full.
DRAFT
Last updated: 20th August 2013
Page 1 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Autumn 1
Abacus
Week
1
2
3
4
5
DRAFT
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Mental addition and
subtraction (MAS)
Find pairs with a total of 100; add to the next multiple of
4
100 and subtract to the previous multiple of 100; subtract
4
by counting up to find a difference; adding several
numbers
Number
Calculate

find differences within 1000
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from a 3-digit number using an appropriate mental or
written method
Number and place value
(NPV)
Mental addition and
subtraction (MAS)
Read, write 4-digit numbers and know what each digit
represents; compare 4-digit numbers using < and > and
place on a number line; add 2-digit numbers mentally;
subtract 2-digit and 3-digit numbers
4
Number
Number facts

read and write numbers to 10 000
4
Number
Number facts

compare [and estimate with] numbers up to 1000
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from a 3-digit number using an appropriate mental or
written method
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Learn × and ÷ facts for the 6 and 9x tables and identify
patterns; multiply multiples of 10 by 1-digit numbers;
multiply 2-digit numbers by 1-digit numbers (the grid
method); find fractions of amounts
4
Number
Number facts

use mental strategies to recall multiplication tables for 2,
3, 4, 5, 6 and 10 and use to solve division problems
4
Number
Fractions, etc. 
find fractional quantities using known table facts, e.g. 1/6
of 30cm
4
Number
Calculate

use mental strategies to multiply [and divide] 2-digit
numbers by a single digit number
4
Measuring
Length, etc.

measure on a ruler to the nearest mm and record using a
mix of units, e.g. 1cm 3mm
4
Measuring
Length, etc.

convert metric units of length to smaller units, e.g. cm to
mm, m to cm, km to m
4
Measuring
Time

tell the time to the nearest minute on analogue clocks
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
[mental or] written method
Measurement (MEA)
Mental addition and
subtraction (MAS)
Decimals, percentages and
their equivalence to
fractions (DPE)
Tell and write the time to the minute on analogue and
digital clocks; calculate time intervals; measure in
metres, centimetres and millimetres; convert lengths
between units; record using decimal notation
Written addition and
subtraction (WAS)
Add two 3-digit numbers using column addition; subtract
a 3-digit number from a 3-digit number using an
expanded column method (decomposing only in one
column)
Last updated: 20th August 2013
Page 2 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Autumn 2
Abacus
Week
6
7
8
9
10
DRAFT
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Double 3-digit numbers and halve even 3-digit numbers;
revise unit fractions; identify equivalent fractions; reduce
a fraction to its simplest form; count in fractions (each
fraction in its simplest form)
4
Number
Fractions, etc. 
halve 3-digit numbers in the context of number, [money]
and measures
4
Number
Fractions, etc. 
recognise fractions that are several parts of a whole, e.g.
2/3, 3/10
Number and place value
(NPV)
Written addition and
subtraction (WAS)
Decimals, percentages and
their equivalence to
fractions (DPE)
Look at place value in decimals and the relationship
between tenths and decimals; add two 4-digit numbers;
practise written and mental addition methods; use
vertical addition to investigate patterns
4
Number
Number facts

multiply and divide numbers by 10 [and 100]
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
Measurement (MEA)
Statistics (STA)
Convert multiples of 100g into kilograms; convert
multiples of 100ml into litres; read scales to the nearest
100ml; estimate capacities; draw bar charts, record and
interpret information
4
Measuring
Length, etc.

use weighing scales with divisions to weigh objects to the
nearest 5g, 10g, 25g or 100g
4
Measuring
Length, etc.

measure capacities to the nearest [50ml] or 100ml
3–4
Data
Data

represent data using:
− bar charts and bar line graphs labelled in 2s, 5s and
10s
Round 4-digit numbers to the nearest: 10, 100 and 1000; 4
subtract 3-digit numbers using the expanded written
version and the counting up mental strategy and decide 4
which to use
Number
Estimate

estimate by rounding to the nearest 10 or 100
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
5
Number
Calculate

[add and] subtract 3-digit numbers using an appropriate
mental or written method
5
Number
Estimate

estimate by rounding to the nearest 10, 100 or 1000
Use the grid method to multiply 3-digit by 1-digit numbers 4
and introduce the vertical algorithm; begin to estimate
products; divide numbers (up to 2 digits) by 1-digit
5
numbers with no remainder, then with a remainder
Number
Calculate

use mental strategies to [multiply and] divide 2-digit
numbers by a single digit number
Number
Calculate

multiply [and divide] 3-digit numbers by a single-digit
number
Number and place value
(NPV)
Mental addition and
subtraction (MAS)
Written addition and
subtraction (WAS)
Mental multiplication and
division (MMD)
Written multiplication and
division (WMD)
Last updated: 20th August 2013
Page 3 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Spring 1 (draft)
Abacus
Week
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Place 4-digit numbers on landmarked lines; 0-10,000 and 4
1000-2000; round 4-digit numbers to the nearest 10, 100
and 1000; mentally add and subtract to/from 4-digit and 4
3-digit numbers using place-value; count on and back in
multiples of 10, 100 and 1000; count on in multiples of 25
and 50; add and subtract multiples of 10 and 100 to/from 5
4-digit numbers
Number
Number facts

compare [and estimate with] numbers up to 1000
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
5
Number
Estimate

estimate by rounding to the nearest 10, 100 or 1000
Use expanded written subtraction and compact written
subtraction to subtract pairs of 3-digit numbers (one
‘exchange’); use expanded column subtraction and
compact column subtraction to subtract pairs of 3-digit
and 2-digit numbers from 3-digit numbers (one ‘carry’);
learn the 7x table and ‘tricky’ facts; use the vertical
algorithm to multiply 3-digit numbers by 1-digit numbers
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
5
Number
Calculate

multiply [and divide] 3-digit numbers by a single-digit
number
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Use mental multiplication and division strategies; find
non-unit fractions of 2-digit and 3-digit numbers; find
equivalent fractions and use them to simplify fractions
(halves, thirds, quarters)
4
Number
Fractions, etc. 
4
Number
Calculate
14
Geometry: properties of
shape (GPS)
Recognise and compare acute, right and obtuse angles;
draw lines of a given length; identify perpendicular and
parallel lines; recognise and draw line symmetry in
shapes; sort 2D shapes according to their properties;
draw shapes with given properties; draw the other half of
symmetrical shapes
15
Mental multiplication and
division (MMD)
Number and place value
(NPV)
Written multiplication and
division (WMD)
Mental addition and
subtraction (MAS)
Understand how to divide 2-digit and 3-digit numbers by 4
1-digit numbers using place value and mental strategies;
divide numbers by 1-digit numbers to give answers
between 10 and 25, with remainders; identify factor pairs 4
and use these to solve multiplications and divisions with
larger numbers; use Frog to find complements to
5
multiples of 1000; use Frog to find change from £10, £20
and £50
11
12
13
DRAFT
Number and place value
(NPV)
Mental multiplication and
division (MMD)
Mental addition and
subtraction (MAS)
Mental multiplication and
division (MMD)
Written multiplication and
division (WMD)

recognise fractions that are several parts of a whole, e.g.
2/3, 3/10
use mental strategies to multiply and divide 2-digit
numbers by a single digit number
No matching skills
Number
Calculate

use mental strategies to multiply and divide 2-digit
numbers by a single digit number
Number
Money

use money to pay for items up to £10 and calculate the
change
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
Last updated: 20th August 2013
Page 4 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Spring 2 (draft)
Abacus
Week
16
17
18
19
DRAFT
Numeracy Framework for Wales
Strands
Weekly Summary
Decimals, percentages and
their equivalence to
fractions (DPE)
Number and place value
(NPV)
Written addition and
subtraction (WAS)
Recognise, use, compare and order decimal numbers;
understand place value in decimal numbers; recognise
that decimals are tenths; round decimals numbers to the
nearest whole number; divide 2-digit numbers by 10 to
get decimal numbers; multiply decimal numbers by 10 to
get 2-digit numbers; divide 3-digit multiples of ten by 100
to get decimal numbers; multiply decimal numbers by
100 to get 3-digit multiples of ten; add four digit numbers
using written method with answers greater than 10,000
Mental addition and
subtraction (MAS)
Written addition and
subtraction (WAS)
Measurement (MEA)
Number and place value
(NPV)
Written addition and
subtraction (WAS)
Mental addition and
subtraction (MAS)
Year
Strand
Element
Skill
4
Number
Number facts

multiply and divide numbers by 10 and 100
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
5
Number
Number facts

compare numbers with 1 and 2 decimal places
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
5
Number
Calculate

multiply and divide numbers and decimals by 10 and 100
5
Number
Estimate

estimate by rounding to the nearest [10, 100, 1000] or
whole number
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
4
Number
Money

add and subtract totals less than £10 using correct
notation, e.g. £6.85 – £2.76
5
Number
Calculate

[add and] subtract 3-digit numbers using an appropriate
mental or written method
Tell the time on a 24 hour clock, using am and pm
4
correctly; convert pm times to 24 hour clock and vice
versa; use 24 hour clock in calculating intervals of time;
4
measure and calculate perimeters of rectilinear shapes
where each side is labelled in cm and m; find missing
lengths in rectilinear composite shapes; find the
4
perimeters of rectilinear shapes with some lengths not
marked; convert from one unit of length to another; solve
word problems involving lengths including those involving
perimeters
Measuring
Length, etc.

measure and calculate the perimeter of squares and
rectangles
Measuring
Length, etc.

convert metric units of length to smaller units, e.g. cm to
mm, m to cm, km to m
Measuring
Time

read hours and minutes on a 24-hour digital clock
Understand place value in 4-digit numbers; partition 44
digit numbers; solve subtraction of 4-digit numbers using
5
column subtraction (decomposition); choose an
appropriate method to solve subtractions, either mental
or written, and either column or counting up (Frog)
Number
Number facts

read and write numbers to 10 000
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
Add amounts of money using written methods and
mentally using place value and number facts; choose to
add using the appropriate strategy: mental or written;
subtract, choosing appropriate mental strategies:
counting up or taking away (using counting back, place
value or number facts); solve subtractions using a
suitable written method (column subtraction)
Last updated: 20th August 2013
Page 5 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Abacus
Week
20
DRAFT
Strands
Written multiplication and
division (WMD)
Mental multiplication and
division (MMD)
Numeracy Framework for Wales
Weekly Summary
Year
Use the vertical algorithm to multiply 3-digit numbers by
1-digit numbers; explore patterns; use mental strategies
and tables facts to divide 2-digit and 3-digit numbers by
1-digit numbers to give answers between 10 and 35,
without remainders; solve word problems
Strand
Element
Skill
4
Number
Calculate

use mental strategies to multiply and divide 2-digit
numbers by a single digit number
5
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
Last updated: 20th August 2013
Page 6 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Summer 1 (draft)
Abacus
Week
21
22
23
24
DRAFT
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Number and place value
(NPV)
Read, write and compare 4-digit numbers, writing
numbers in between and placing them on a line; find
1000 more or less than any given number; read, write
and compare 5-digit numbers; recognise what each digit
represents in a 5-digit number; read, use and compare
negative numbers in the context of temperature
4
Number
Number facts

read and write numbers to 10 000
5
Number
Number facts

read and write numbers to 100 000
Mental multiplication and
division (MMD)
Decimals, percentages and
their equivalence to
fractions (DPE)
Mental addition and
subtraction (MAS)
Multiply and divide numbers by 10 and 100 including
decimals (tenths and hundredths);
read and write decimals (to 1 and 2 places),
understanding that these represent parts (tenths and
hundredths) of numbers; mark one and two place
decimals on a line; count in tenths (0.1s) and hundredths
(0.01s); say the number one tenth (0.1) and one
hundredth (0.01) more or less than a given number;
round decimal numbers to the nearest whole number
4
Number
Number facts

multiply and divide numbers by 10 and 100
5
Number
Number facts

compare numbers with 1 and 2 decimal places
5
Number
Calculate

multiply and divide numbers and decimals by 10 and 100
5
Number
Estimate

estimate by rounding to the nearest [10, 100, 1000] or
whole number
Mental multiplication and
division (MMD)
Written multiplication and
division (WMD)
Learn 11 and 12x tables; develop and use effective
mental multiplication strategies; use a vertical written
method to multiply 3-digit numbers by 1-digit numbers;
use rounding to estimate answers; use a written method
to multiply 3-digit numbers, including amounts of money
by 1-digit numbers; multiply 2-digit and 3-digit numbers
by 1-digit numbers; understand how division ‘undoes’
multiplication and vice versa; divide above the tables
facts using multiples of ten
4
Number
Calculate

use mental strategies to multiply and divide 2-digit
numbers by a single digit number
4
Number
Estimate

check answers using inverse operations
4
Number
Estimate

estimate by rounding to the nearest 10 or 100
5
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
5
Number
Estimate

estimate by rounding to the nearest 10, 100, 1000 or
whole number
6
Number
Number facts

use mental strategies to recall multiplication tables up to
10 x 10 and use to solve division problems
Measuring
Length, etc.

measure and calculate the perimeter of squares and
rectangles
Number and place value
(NPV)
Geometry: properties of
shapes (GPS)
Measurement (MEA)
Recognise and write Roman numerals to 100; begin to
4
know the history of our number system including zero;
calculate area and perimeter of rectangles and simple
rectilinear shapes using addition and multiplication;
recognise, name and classify 2D shapes identifying
polygons, regular and irregular; sort 2D and 3D shapes
according to properties including types of quadrilaterals
and triangles; revise 3D shapes; look at 2D shaped sides
on 3D shapes
Last updated: 20th August 2013
Page 7 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Abacus
Week
25
DRAFT
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Decimals, percentages and Understand, read and write two place decimals; compare 4
their equivalence to
two place decimals in the context of lengths; add and
fractions (DPE)
subtract 0.1 and 0.01; say a number one tenth (0.1) and
one hundredth (0.01) more or less than a given number; 5
revise equivalent fractions; write fractions with different
5
denominators with a total of 1; recognise decimal and
fraction equivalents
Strand
Element
Skill
Number
Fractions, etc. 
Number
Number facts
Number
Fractions, etc. 
Last updated: 20th August 2013

recognise fractions that are several parts of a whole, e.g.
2/3, 3/10
compare numbers with 1 and 2 decimal places
use understanding of simple fraction and decimal
equivalences when measuring and calculating, e.g. 1 =
0.5, 1/10 = 0.1
Page 8 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Term: Summer 2 (draft)
Abacus
Week
26
27
28
29
DRAFT
Strands
Mental addition and
subtraction (MAS)
Mental multiplication and
division (MMD)
Written addition and
subtraction (WAS)
Written addition and
subtraction (WAS)
Mental addition and
subtraction (MAS)
Geometry: position and
direction (GPD)
Statistics (STA)
Written multiplication and
division (WMD)
Fractions, ratio and
proportion (FRP)
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Mentally add any two 2-digit numbers; mentally add a 2digit number to a 3-digit or a 4-digit number; subtract 2-,
3-, & 4-digit numbers using counting up (Frog); derive
factors of 2-digit numbers; use factors and doubling to
solve multiplication mentally; solve integer scaling
problems using mental strategies; spot a relationship
between products; solve correspondence problems,
using a systematic approach; calculate factorials using
mental multiplication strategies
4
Number
Number facts

use mental strategies to recall multiplication tables for 2,
3, 4, 5, 6 and 10 and use to solve division problems
4
Number
Calculate

find differences within 1000
4
Number
Calculate

add a 2-digit number to, and subtract a 2-digit number
from, a 3-digit number using an appropriate mental or
written method
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
Solve written addition of two 4-digit numbers; add
amounts of money (pounds and pence) using column
addition; solve 4-digit subtractions using written column
method (decomposition) or counting up (Frog); solve 4digit – 3-digit subtractions using written column method
(decomposition); check subtraction using addition; solve
word problems choosing an appropriate method
4
Number
Estimate

check answers using inverse operations
4
Number
Money

add and subtract totals less than £10 using correct notation, e.g.
£6.85 – £2.76
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
Use co-ordinates to draw polygons; find the co-ordinates 3–4
of shapes after translation; draw and interpret bar charts
and pictograms; draw line graphs and understand that
intermediate points have meaning
Data
Data

represent data using:
− bar charts and bar line graphs labelled in 2s, 5s and
10s
− pictograms where one symbol represents more than
one unit using a key
3–4
Data
Data

extract and interpret information from charts, [timetables,
diagrams] and graphs.
5
Measuring
Area, etc.

use coordinates to specify location
4
Number
Number facts

multiply and divide numbers by 10 and 100
4
Number
Fractions, etc. 
find fractional quantities using known table facts, e.g. 1/6
of 30cm
4
Number
Fractions, etc. 
recognise fractions that are several parts of a whole, e.g.
2/3, 3/10
5
Number
Number facts

multiply and divide numbers and decimals by 10 and 100
5
Number
Calculate

multiply [and divide] 3-digit numbers by a single-digit
number
Use the vertical algorithm (ladder) to multiply 3-digit
numbers by 1-digit numbers; find non-unit fraction of
amounts, using ‘chunking’; add fractions with like
denominators, including totals greater than 1; divide by
10 and 100 (to give answers with 1 and 2 decimal
places)
Last updated: 20th August 2013
Page 9 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 4
Abacus
Week
30
DRAFT
Strands
Written multiplication and
division (WMD)
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Multiply 2-digit numbers by 11 and 12; look for patterns
4
and write rules; multiply 2-digit numbers by numbers
between 10 and 20 using the grid method; begin to use
the grid method to multiply pairs of 2-digit numbers; use 4
mental strategies and tables facts to divide 2-digit and 3digit numbers by 1-digit numbers to give answers
4
between 20 and 50, with and without remainders; find
non-unit fractions of amounts
5
Number
Fractions, etc. 
find fractional quantities using known table facts, e.g. 1/6
of 30cm
Number
Fractions, etc. 
recognise fractions that are several parts of a whole, e.g.
2/3, 3/10
Number
Calculate

use mental strategies to multiply and divide 2-digit
numbers by a single digit number
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
6
Number
Number facts

use mental strategies to recall multiplication tables [up to
10 x 10] and use to solve division problems
6
Number
Calculate

multiply 2- [and 3-]digit numbers by a 2-digit number
Last updated: 20th August 2013
Page 10 of 10