National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
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.
Version 3
Last updated: 25th November 2014
Page 1 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Autumn 1
Abacus
Week
1
Strands
Number and place value
(NPV)
Written addition and
subtraction (WAS)
Numeracy Framework for Wales
Weekly Summary
Year
Read, write, compare and order 5-digit numbers,
understanding the place-value and using < and >
signs; add and subtract multiples of 10, 100 and
1000 to and from 5-digit numbers; use written
addition to add two 4-digit numbers; sustain a line of
Strand
Element
Skill
5
Number
Number facts

read and write numbers to 100 000
6
Number
Calculate

add and subtract numbers using whole numbers [and
decimals]
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
enquiry, make and test a hypothesis
2
3
4
5
Version 3
Mental addition and
subtraction (MAS)
Number and place value
(NPV)
Add and subtract 2-digit numbers mentally; choose a
strategy for solving mental additions or subtractions;
solve word problems
6
Number
Calculate

add and subtract numbers using whole numbers [and
decimals]
Decimals, percentages and
their equivalence to
fractions (DPE)
Number and place value
(NPV)
Mental multiplication and
division (MMD)
Understand place value in decimal numbers; multiply and 5
divide numbers with up to two decimal places by 10 and
100; multiply and divide by 0 and 100; add and subtract 5
0·1 and 0·01; multiply and divide by 4 by doubling or
6
halving twice; use mental multiplication strategies to
multiply by 20, 25 and 9
Number
Number facts

compare numbers with 1 and 2 decimal places
Number
Number facts

multiply and divide numbers and decimals by 10 and 100
Number
Calculate

add and subtract numbers using whole numbers and
decimals
Measurement (MEA)
Revise converting 12-hour clock times to 24-hour clock
times; find a time a given number of minutes or hours
and minutes later; calculate time intervals using 24-hour
clock format; measure lengths in mm and convert to cm;
find perimeters in cm and convert cm to m
5
Measuring
Length, etc.

measure perimeters
5
Measuring
Length, etc.

make use of conversions, e.g. ¼ of a km = 250m
5
Measuring
Time

read and use analogue and digital clocks
6
Measuring
Time

use and interpret timetables and schedules to plan events
and activities and make calculations as part of the
planning process
5
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
5
Number
Money

add and subtract totals less than £100 using correct
notation, e.g. £28.18 + £33.45
6
Number
Calculate

add and subtract numbers using whole numbers [and
decimals]
Written addition and
subtraction (WAS)
Mental addition and
subtraction (MAS)
Solve subtraction using a written method for 3-digit – 3digit numbers and for 4-digit numbers; use counting up
(Frog) as a strategy to perform mental subtraction; find
change from a multiple of ten pounds using counting up
Last updated: 25th November 2014
Page 2 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Autumn 2
Abacus
Week
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
6
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Recognise which numbers are divisible by 2, 3, 4, 5, 6, 9
and 25 and identify multiples; find factors; recording
results systematically and finding all factors of a given
number; compare and place fractions on a line; find
equivalent fractions and reduce them to their simplest
form
5
Number
Number facts

use mental strategies to recall multiplication tables for 2,
3, 4, 5, 6, 8 and 10 and use to solve division problems
7
Number and place value
(NPV)
Written multiplication and
division (WMD)
Use mental strategies to multiply and divide multiples of 5
10 and 100; use a written method to multiply 3-digit and
4-digit numbers by 1-digit numbers and estimate
answers, divide 3-digit numbers by 1-digit numbers using 6
a written method and express remainders as a fraction;
solve division word problems
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
Number
Number facts

multiply numbers and decimals by a multiple of 10, e.g. 15
x 30, 1.4cm x 20
8
Geometry: properties of
shapes (GPS)
Use a protractor to measure and draw angles in degrees; 7
recognise, use terms and classify angles as obtuse,
acute and reflex; recognise that angles on a line total
180° and angles round a point total 360°; identify and
name parts of a circle including diameter, radius and
circumference; draw circles to a given radius using a pair
of compasses; relate angles to turns, and recognise that
a 360° angle is a complete turn; use angle facts to solve
problems related to turn
Measuring
Area, etc.

measure and draw angles
9
Number and place value
(NPV)
Fractions, ratio and
proportion (FRP)
Decimals, percentages and
their equivalence to
fractions (DPE)
Place numbers to 100 000 and decimals up to two places 5
on a line, round numbers to the nearest 10, 100 and
1000 and decimals up to two places to the nearest whole 5
number; compare and order numbers with up to two
5
decimal places; reduce fractions to their simplest form;
know and recognise equivalent fractions and decimals to
half, tenths and fifths
5
Number
Number facts

read and write numbers to 100 000
Number
Number facts

compare numbers with 1 and 2 decimal places
Number
Fractions, etc. 
Number
Estimate

estimate by rounding to the nearest 10, 100 or 1000
6
Number
Estimate

estimate by rounding to the nearest 10, 100, 1000 or
whole number
Revise mental and written addition and subtraction
5
strategies; choose to use a mental strategy or written
method to solve addition and subtraction; choose to
5
solve word problems involving multiplication and
multiplication and division questions including 2- and 36
digit × 1-digit and 2-digit × 2-digit using a mental or a
written method; use mathematical reasoning to work out
a function; identify the operation being used on numbers;
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
Number
Estimate

check answers using inverse operations
Number
Calculate

add and subtract numbers using whole numbers and
decimals
10
Version 3
Number and place value
(NPV)
Mental addition and
subtraction (MAS)
Written addition and
subtraction (WAS)
Mental multiplication and
division (MMD)
Last updated: 25th November 2014
use understanding of simple fraction and decimal
equivalences when measuring and calculating, e.g. 1/2 =
0.5, 1/10 = 0.1
Page 3 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Abacus
Week
Strands
Written multiplication and
division (WMD)
Version 3
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
understand that addition and subtraction are inverse
operations multiplication and division; use function
machines
Last updated: 25th November 2014
Page 4 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Spring 1
Abacus
Week
11
Numeracy Framework for Wales
Strands
Weekly Summary
Year
Number and place value
(NPV)
(DELETED: (WMD))
Decimals, percentages and
their equivalence to
fractions (DPE)
Read, write and order numbers with up to 6 digits and
understand the place value of each digit; place 6-digit
numbers on a number line and find numbers between;
solve place value additions and subtractions with 6-digit
numbers; understand place value in decimal numbers as
tenths and hundredths; multiply and divide by 10
/100/1000 using a place value grid; understand place
value in decimal numbers to 2-decimal places; place
decimal numbers on a line; round two-place decimal
numbers to nearest tenth and whole number; say the
number a tenth or a hundredth more
Strand
Element
Skill
5
Number
Number facts

read and write numbers to 100 000
5
Number
Number facts

compare numbers with 1 and 2 decimal places
5
Number
Number facts

multiply and divide numbers and decimals by 10 and 100
6
Number
Number facts

read and write numbers to 1 million and numbers to 3
decimal places
6
Number
Estimate

estimate by rounding to the nearest 10, 100, 1000 or
whole number
12
Mental addition and
subtraction (MAS)
Written addition and
subtraction (WAS)
Rehearse mental addition strategies for decimals and
6
whole numbers; use counting on as a strategy to perform
mental addition of 2-place decimals to the next whole
number; solve missing number sentences; use mental
strategies to solve multi-step word problems; use
counting up as a strategy to perform written subtraction
(Frog)
Number
Calculate

add and subtract numbers using whole numbers and
decimals
13
Number and place-value
(NPV)
Mental multiplication and
division (MMD)
Measurement (MEA)
Use rules of divisibility to find if numbers are divisible by 6
2, 3, 4, 5, 9 and 10; identity prime numbers; revise
finding factors of numbers; find squares and square roots
7
of square numbers; finding patterns and making and
testing rules; use mental multiplication and division
strategies; relate mental division strategies to multiples of
ten of the divisor
Number
Number facts

use mental strategies to recall multiplication tables up to
10 x 10 and use to solve division problems
Number
Number facts

use the terms square and square root
Geometry: properties of
shapes (GPS)
Measurement (MEA)
Know properties of equilateral, isosceles, scalene and
right-angled triangles; find that angles in a triangle have
a total of 180°; sort triangles according to their
properties; use scales to weigh amounts to the nearest
half interval; convert from grams to kilograms and vice
versa, from millilitres to litres and vice versa, and from
metres to kilometres and vice versa; read scales to the
nearest half division; understand that we measure
distance in kilometres and miles; use ready reckoning to
give approximate values of miles in kilometres and vice
versa; draw line conversion graphs
5
Measuring
Length, etc.

use measuring instruments with 10 equal divisions
between each major unit, and record using decimal
notation, e.g. 4.2cm, 1.3kg
5
Measuring
Length, etc.

make use of conversions, e.g. 1/4 of a km = 250m
5–6
Data
Data

represent data using:
 [bar charts, grouped data charts, line graphs and]
conversion graphs
14
Version 3
Last updated: 25th November 2014
Page 5 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Abacus
Week
15
Version 3
Strands
Written addition and
subtraction (WAS)
Numeracy Framework for Wales
Weekly Summary
Year
Use a written column method to add amounts of money 5
in pounds and pence; add 2-place decimals using written
5
column addition; subtract decimal numbers using
counting up (Frog)
6
Strand
Element
Skill
Number
Calculate

find differences between numbers with 1 decimal place
Number
Money

add and subtract totals less than £100 using correct
notation, e.g. £28.18 + £33.45
Number
Calculate

add and subtract numbers using whole numbers and
decimals
Last updated: 25th November 2014
Page 6 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Spring 2
Abacus
Week
16
17
18
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Element
Skill
Use a written method (grid) to multiply pairs of 2-digit
5
numbers; use short division to divide 3-digit numbers by
1-digit numbers, including those which leave a remainder
6
Number
Calculate

[multiply and ]divide 3-digit numbers by a single-digit
number
Number
Calculate

multiply 2- and 3-digit numbers by a 2-digit number
Written multiplication and
division (WMD)
Fractions, ratio and
proportion (FRP)
Find unit fractions and non-unit fractions of 3-digit
numbers; use short multiplication to multiply 3-digit
numbers by 1-digit numbers; begin to use short
multiplication to multiply 4-digit numbers by 1-digit
numbers
5
Number
Fractions, etc. 
5
Number
Calculate

multiply and divide 3-digit numbers by a single-digit
number
Geometry: properties of
shapes (GPS)
Measurement (MEA)
Understand what a polygon is; draw polygons using
5
dotted square and isometric paper;
revise terms obtuse, acute and reflex angles,
perpendicular and parallel sides; recognise quadrilaterals
6
as polygons and identify their properties; classify
quadrilaterals; draw regular polygons and explore their
properties; revise metric units of weight, capacity and
length; understand that we can measure in imperial units
and relate these to their instances in daily life
Measuring
Length, etc.

use measuring instruments with 10 equal divisions
between each major unit, and record using decimal
notation, e.g. 4.2cm, 1.3kg
Measuring
Length, etc.

use the language of imperial units in daily use, e.g. miles,
pints
Written multiplication and
division (WMD)
19
Fractions, ratio and
proportion (FRP)
Place mixed numbers on lines; count up in fractions
using equivalence; convert improper fractions to mixed
numbers and vice versa; write improper fractions as
mixed numbers and vice versa; multiply proper fractions
by whole numbers
20
Written addition and
subtraction (WAS)
Solve subtraction of 4-digit numbers using written column 5
subtraction (decomposition); add several numbers using
written column addition; use column addition to solve
6
problems
Version 3
Strand
calculate fractional quantities, e.g. 1/8 of 24 = 3, so 5/8 of
24 = 15
No matching skills at Primary level
Number
Calculate

add and subtract 3-digit numbers using an appropriate
mental or written method
Number
Calculate

add and subtract numbers using whole numbers and
decimals
Last updated: 25th November 2014
Page 7 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Summer 1
Abacus
Week
21
22
23
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
Add mentally 2-place decimal numbers in the context of 5
money using rounding; add several small amounts of
money using mental methods; mentally subtract amounts
6
of money including giving change; calculate the
difference between two amounts using counting up;
solve word problems, including 2-step problems,
6
choosing an appropriate method
Number
Money

add and subtract totals less than £100 using correct
notation, e.g. £28.18 + £33.45
Number
Calculate

add and subtract numbers using whole numbers and
decimals
Number
Estimate

estimate by rounding to the nearest 10, 100, 1000 or whole
number
Fractions, ratio and
proportion (FRP)
Written multiplication and
division (WMD)
Multiply fractions less than 1 by whole numbers, convert 5
improper fractions to whole numbers; use short
multiplication to multiply 3-digit and 4-digit numbers by 1- 6
digit numbers; use long multiplication to multiply 2-digit
and 3-digit numbers by teens numbers
Number
Calculate

multiply and divide 3-digit numbers by a single-digit number
Number
Calculate

multiply 2- and 3-digit numbers by a 2-digit number
Decimals, percentages and
their equivalence to
fractions (DPE)
Number and place value
(NPV)
Read, write and compare decimals to three decimal
places, understanding that the third decimal place
represents thousandths; multiply and divide numbers by
10, 100 and 1000 using 3-place decimal numbers in the
calculations; place 2-place decimals on a number line
and round them to the nearest tenth and whole number;
read, write, order and compare 3-place decimal
numbers; understand and use negative numbers in the
context of temperature
5
Number
Number facts

compare numbers with 1 and 2 decimal places
5
Number
Number facts

multiply and divide numbers and decimals by 10 and 100
5
Measuring
Temperature

calculate temperature differences, including those involving
temperature rise and fall across 0°C
6
Number
Number facts

read and write numbers to 1 million and numbers to 3
decimal places
6
Number
Estimate

estimate by rounding to the nearest 10, 100, 1000 or whole
number
Mental addition and
subtraction (MAS)
(Decimals, percentages
and their equivalence to
fractions (DPE)
24
Geometry: position and
direction (GPD)
Geometry: properties of
shapes (GPS)
Read and mark co-ordinates in the first two quadrants;
draw simple polygons using co-ordinates; translate
simple polygons by adding to and subtracting from the
co-ordinates; reflect simple shapes in the y axis or in a
line, noting the effect on the co-ordinates; translate
simple shapes and note what happens to the coordinates; draw regular and irregular 2D shapes using
given dimensions and angles; use the properties of 2D
shapes, including rectangles, to derive related facts;
identify 3D shapes from 2D representations; create 3D
shapes using 2D nets and draw 3D shapes
5
Measuring
Area, etc.

use coordinates to specify location
25
Written addition and
subtraction (WAS)
Add 5-digit numbers using written column addition;
subtract 5-digit numbers using written method
(decomposition); check answers to subtractions using
written column addition; solve subtractions of 4- and 5digit numbers using written column subtraction or
number line counting up
5
Number
Estimate

check answers using inverse operations
6
Number
Calculate

add and subtract numbers using whole numbers and
decimals
Version 3
Last updated: 25th November 2014
Page 8 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Term: Summer 2
Abacus
Week
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
No matching skills at Primary level
26
Mental multiplication and
division (MMD)
Fractions, ratio and
proportion (FRP)
Identify factors and multiples, find factor pairs; revise
equivalent fractions; compare and order fractions with
related denominators; add fractions with same or related
denominators, then convert answer into a mixed number;
subtract fractions with same and related denominators,
revise multiplying fractions by whole numbers
27
Written multiplication and
division (WMD)
Use short division to divide 3-digit numbers by 1-digit
numbers and 4-digit numbers by 1-digit numbers,
including those which leave a remainder; express a
remainder as a fraction; use long multiplication to
multiply 3-digit and 4-digit numbers by teens numbers
5
Number
Calculate

multiply and divide 3-digit numbers by a single-digit number
6
Number
Calculate

multiply 2- and 3-digit numbers by a 2-digit number
Measurement (MEA)
Find the area and perimeter of squares and rectangles
by calculation and pursue a line of enquiry; estimate and
find the area of irregular shapes; calculate the perimeter
and area of composite shapes; use the relations of area
and perimeter to find unknown lengths; begin to
understand the concept of volume; find the volume of a
cube or cuboid by counting cubes; understand volume as
measurement in three dimensions; relate volume to
capacity; recognise and estimate volumes
4
Measuring
Area, etc.

recognise volume in practical contexts
5
Measuring
Length, etc.

measure perimeters
5
Measuring
Area, etc.

calculate, estimate and compare the area of squares and
rectangles using standard units
5
Measuring
Area, etc.

find volumes by counting and other practical methods
Decimals, percentages and
their equivalence to
fractions (DPE)
Number and place value
(NPV)
Understand what percentages are, relating them to
hundredths; know key equivalences between
percentages and fractions, finding percentages of
amounts of money; find equivalent fractions, decimals
and percentages; solve problems involving fraction and
percentage equivalents; write dates using Roman
numerals
6
Number
Fractions, etc. 
use understanding of simple fraction, decimal and
percentage equivalences, e.g. find 25% of 60cm and know
that this is equivalent to 1/4 of 60cm
6
Number
Fractions, etc. 
calculate percentage quantities based on 10%, e.g. 20%,
5%, 15%
Statistics (STA)
Mental multiplication and
division (MMD)
Written multiplication and
division (WMD)
Find cubes of numbers to 10; draw and interpret line
5
graphs showing change in temperature over time; begin
to understand rate; use timetables using the 24-hour
clock and use counting up to find time intervals of several 5
hours and minutes; solve problems involving scaling by
simple fractions; use factors to multiply; solve scaling
5–6
problems involving measure
Measuring
Temperature

calculate temperature differences, including those involving
temperature rise and fall across 0°C
Number
Fractions, etc

use doubling and halving strategies when working with
simple proportions
Data
Data

represent data using:
− [bar charts, grouped data charts,] line graphs and
conversion graphs
Data
Data

extract and interpret information from an increasing range
28
29
30
5–6
Version 3
Last updated: 25th November 2014
Page 9 of 10
National Numeracy Framework for Wales 2013
Which numeracy skills are covered in each Abacus week?
Abacus Year 5
Abacus
Week
Strands
Numeracy Framework for Wales
Weekly Summary
Year
Strand
Element
Skill
of diagrams, timetables and graphs (including pie charts)
Version 3
Last updated: 25th November 2014
Page 10 of 10