KS2 maths for parents

Fractions from Year 3 to Year 6: a parent’s progression guide

See what England’s curriculum adds each year, which earlier ideas later work relies on, and simple questions that may reveal where understanding first became uncertain.

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Editorial

Lead authorRobin GibbonsFounder & CEO·Latimer Tuition
Reviewed byHeather LatimerTutor Matching & Customer Service·Latimer Tuition
Published4 August 2026
Last reviewed4 August 2026

Current answer

The quick answer: a later fractions problem may have started earlier

KS2 fractions build in connected stages rather than four separate year-group topics. Children move from equal parts and unit fractions to fractions as numbers and fractions of quantities, then to equivalence, mixed and improper fractions, common denominators, calculation, decimals, percentages and ratio.

When a later written method is difficult, it is often more useful to check the foundations than to repeat the same type of question. Ask what the whole is, how large the fraction is, whether the child can show an equivalent form, and which multiplication or division fact the method relies on.

“Decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress.” — Department for Education

One mistake does not identify one certain cause. These checks help find a sensible starting point; they are not a diagnosis or formal assessment. The year-by-year detail below follows England. The same mathematical dependencies are useful across the UK, but stage labels and timing differ.

KS2 fractions from Year 3 to Year 6

This table summarises England’s statutory programme alongside official teaching guidance, and shows the earlier understanding that later work relies on. It is a progression guide, not a compulsory term-by-term calendar for every school.

Year	Main curriculum emphasis in England	What changes conceptually	Earlier knowledge to revisit
Year 3	Tenths; unit and non-unit fractions of sets; fractions as numbers and on number lines; simple equivalence; comparison of unit or same-denominator fractions; same-denominator addition and subtraction within one whole.	A fraction becomes a number that can be located, compared and operated on, not only a shaded part of a shape.	Equal sharing, identifying the whole, equal-value parts, and multiplication and division facts.
Year 4	Families of equivalent fractions; hundredths; fractions of quantities; same-denominator calculation, including beyond one whole; links with decimal notation, including common half and quarter equivalents.	Children connect fraction size with factors, multiples, quantities and base-ten place value.	Unit fractions as division, non-unit fractions as repeated unit fractions, number-line magnitude and tenths.
Year 5	Mixed and improper fractions; comparison with related denominators; addition and subtraction with equal or related denominators; multiplication by whole numbers; thousandths; percentages and common fraction-decimal-percentage equivalents.	Equivalence becomes a tool for calculation, and fractions are used as numbers, measures and operators.	Secure equivalence, factors and multiples, fractions beyond one, decimal place value, and multiplication and division fluency.
Year 6	Simplifying with common factors; common denominators using common multiples; calculation with unlike fractions and mixed numbers; multiplying simple pairs of proper fractions; dividing proper fractions by whole numbers; decimal and percentage equivalents.	Children choose useful transformations: simplify, rename with an equivalent fraction, create a common unit, or change representation.	Factors, multiples, equivalence, mixed and improper forms, fraction magnitude, multiplication, division and decimal place value.

Curriculum timing

Year groups are a guide, not a fixed teaching calendar

England’s curriculum is written year by year, but schools may introduce, revisit or consolidate material at different points within the key stage. Department for Education guidance and NCETM materials can show a coherent teaching sequence without becoming extra statutory requirements.

Mixed and improper fractions are a useful example. Formal conversion is statutory Year 5 content in England. NCETM also includes work across one whole, improper fractions and mixed numbers within a Year 4 teaching sequence. Those statements can both be true because one is statutory content and the other is non-statutory teaching guidance.

NCETM describes ready-to-progress criteria as “goals for the end of the year”. They should not be treated as a fixed-date test that every child must pass at the same moment.

The ideas later fraction work depends on

Use this ladder to work backwards from a difficulty. Start near the current task, then move to an earlier step if the explanation becomes uncertain. The steps are connected, but children do not all struggle in the same place or for the same reason.

Define the whole and make equal-value parts

A fraction statement only makes sense when one whole is clear and the parts are equal in value. This unlocks correct interpretation of every later model and calculation.
Understand the unit fraction

In 3/4, the denominator defines quarters and the numerator counts three copies of one quarter. This unlocks comparison, fraction notation and non-unit fractions.
See fractions as numbers

A fraction has a size and a position on a number line, including beyond one whole. This unlocks ordering, estimation, mixed numbers and reasonableness checks.
Connect fractions of quantities with division

One quarter of 20 begins with 20 ÷ 4; three quarters is three copies of the result. This unlocks fractions of amounts, scaling and fraction multiplication by whole numbers.
Understand equivalence

Equivalent fractions are different names for the same value and share a number-line position. This unlocks simplifying, comparison and calculation with unlike fractions.
Use factors and multiples purposefully

Common factors help simplify; common multiples help create common denominators. This unlocks efficient Year 5 and Year 6 calculation.
Connect fractions, decimals and percentages

For example, 3/4, 0.75 and 75% are the same proportional value in different notation. This unlocks flexible conversion and percentage problems.
Apply related reasoning to ratio

Ratio uses multiplicative comparison and may compare part with part or part with whole. It connects with fraction thinking without being interchangeable with a fraction.

The fraction ideas parents need to recognise

Use 3/4 as a running example. The important question is not only whether a child can name it, but whether the notation, size, representations and operations all describe the same value.

The whole

The whole is the complete object, set, length or quantity being considered. Half of one small biscuit is not the same amount as half of a larger biscuit.

Numerator and denominator

In 3/4, the denominator 4 defines the unit 1/4: four equal-value parts make one whole. The numerator 3 says that three of those units are being considered.

Unit and non-unit fractions

A unit fraction has numerator 1, such as 1/4. A non-unit fraction, such as 3/4, is built from more than one copy of a unit fraction.

Fractions as numbers

Three quarters has one position between 0 and 1. The same value can be shown by a strip, a point on a number line, part of a set or a measurement.

Fractions of quantities

To find 3/4 of 20, first find 1/4 by calculating 20 ÷ 4 = 5, then take three copies: 3 × 5 = 15. The written shortcut should remain connected to that meaning.

Equivalent fractions

Three quarters and six eighths name the same number. Splitting every quarter into two equal pieces changes the count and the unit, but not the value or number-line position.

A common denominator

A common denominator expresses fractions in the same-sized units. Rewriting 1/2 as 2/4 before adding 1/4 is like converting measurements to one unit before combining them.

Whole-number bias

Some children compare the numerator and denominator as separate whole numbers, for example saying 1/8 is larger than 1/6 because 8 is larger than 6. Research shows substantial individual variation, so this is one possibility to investigate, not a label or diagnosis.

Fractions, decimals, percentages and ratio: connected, not interchangeable

Fractions, decimals and percentages can express the same proportional value. A fraction names a value using equal parts, a decimal uses base-ten place value, and a percentage expresses an amount per hundred. Ratio uses related multiplicative reasoning, but it may compare part with part as well as part with whole. With three red and two blue counters, red:blue is 3:2, while the fraction of all counters that are red is 3/5.

Fraction	Decimal	Percentage	One way to read it
1/2	0.5	50%	One of two equal parts; fifty per hundred.
1/4	0.25	25%	One of four equal parts; twenty-five per hundred.
3/4	0.75	75%	Three copies of one quarter; seventy-five per hundred.
1/5	0.2	20%	One of five equal parts; twenty per hundred.
2/5	0.4	40%	Two copies of one fifth; forty per hundred.

What a fractions mistake may suggest revisiting

These are possibilities to investigate, not conclusions about a child. Use one short check to learn more before giving extra practice.

What you notice	What it may suggest revisiting	One short check
Says 1/8 is greater than 1/6 because 8 is greater than 6.	Unit-fraction magnitude, keeping the same whole, or possible whole-number bias.	Place both on the same 0-to-1 number line and ask which is closer to zero.
Can shade 3/4 of a rectangle but cannot place 3/4 on a number line.	Fractions as numbers rather than only parts of shapes.	Ask whether 3/4 is less than or greater than 1/2, then mark it between 0 and 1.
Uses the number of tick marks as the denominator on a fraction number line.	Equal partitioning of length and the meaning of the denominator.	Cover the labels and ask how many equal jumps make one whole.
Cannot find 1/4 of 24.	Equal sharing, division and relevant multiplication facts.	Share 24 counters into four equal groups before writing 24 ÷ 4.
Can find 1/4 of 20 but not 3/4 of 20.	A non-unit fraction as repeated copies of a unit fraction.	Find one quarter first, then ask for three groups of that amount.
Says 1/2 and 2/4 are different because the digits are different.	Equivalence as the same value and number-line position.	Place both on aligned strips or number lines and compare their endpoints.
Writes 1/2 + 1/4 = 2/6.	The need for a common fractional unit before combining amounts.	Show that 1/2 is 2/4, then combine 2/4 and 1/4.
Converts 7/4 mechanically but cannot explain why the answer is greater than one.	Counting fractions beyond one and mixed and improper forms as the same number.	Count in quarters on a 0-to-2 number line and stop at 7/4.
Says 0.35 is greater than 0.4 because 35 is greater than 4.	Decimal place value and fraction-decimal equivalence.	Rewrite 0.4 as 0.40, then compare 40/100 with 35/100.
Treats a red-to-blue ratio of 3:2 as though 3/2 of the counters are red.	Which quantities are being compared and what counts as the whole.	Use three red and two blue counters; ask for red:blue, red:total and the fraction that are red.

A short check using three quarters

This is a low-pressure conversation aid, not an official assessment, screening tool or diagnosis. Stop at the first explanation that becomes uncertain and return to a simpler example; do not continue until the child fails.

1. Define the whole

Ask: What counts as one whole in this example?
2. Explain the notation

Ask what the 3 and the 4 each tell us in 3/4.
3. Build or draw it

Make three quarters with a strip, counters or another model using equal-value parts.
4. Place it

Mark 3/4 on a number line from 0 to 1 and explain its position.
5. Compare it

Decide whether 3/4 is greater than 1/2 and give a reason.
6. Find an equivalent

Show why 3/4 and 6/8 have the same value.
7. Use it as an operator

Find 3/4 of 20 by finding 1/4 first, then taking three copies.
8. Change notation

Connect 3/4 with 0.75 and 75%, using a hundred square or number line if useful.

Questions that reveal more than the final answer

Use calm, curious questions. The aim is to hear how the child is thinking, not to turn home practice into a test.

Whole and equal parts

Start by defining the whole

Best for: Any fraction shown with a shape, set, measure or word problem.

Ask: “What is the whole?” and “How do you know the parts are equal in value?”

Check first

Keep the whole unchanged when comparing two fractions.

Magnitude

Estimate before calculating

Best for: Comparison, ordering and checking whether an answer is plausible.

Ask: “About how large should the answer be?” and “Can you place the fraction on a number line?”

Check first

A correct written method can still hide uncertainty about size.

Equivalence

Ask for another name for the same value

Best for: Simplifying, common denominators and fraction-decimal-percentage links.

Ask: “Can you show the same value in another way?” and “What changed, and what stayed the same?”

Check first

Look for an explanation based on equal splitting or scaling, not only a memorised pattern.

Fractions of quantities

Find one unit fraction first

Best for: Questions such as 3/4 of 20 or 2/5 of 30.

Ask: “What does one denominator-sized part equal?” and “Which division fact are you using?”

Check first

Build the non-unit fraction from repeated copies of the unit fraction.

Calculation

Explain why the units can be combined

Best for: Adding and subtracting fractions.

Ask: “Why does the denominator stay the same here?” or “Why do these fractions need the same-sized parts first?”

Check first

The denominator describes the unit being counted, not a digit to copy or alter without meaning.

Reasonableness

Check the answer against the starting values

Best for: Mixed numbers, fractions of amounts and multi-step problems.

Ask: “Should the answer be greater or smaller than one?” and “Does that make sense in this question?”

Check first

An estimate can reveal a magnitude problem even when the arithmetic looks tidy.

Which fraction model should you use?

No single representation is best for every purpose. Switching model can reveal whether a child understands the fraction itself or has only learned one familiar picture or procedure.

Model	Particularly useful for	Limitation to manage
Fraction strips or bars	Equal parts, comparison, equivalence, addition and subtraction.	Keep the whole the same length when comparing fractions.
Number lines	Magnitude, ordering, equivalence, fractions beyond one and estimation.	Children may count marks rather than the equal intervals between them.
Counters or sets	Fractions of quantities, equal-sharing division and non-unit fractions.	Choose manageable totals that divide evenly while the idea is new.
Area models	Part-whole meaning and some fraction multiplication.	Unequal or visually misleading regions can hide whether the parts have equal value.
Hundred squares	Hundredths, decimals and percentages.	They privilege a denominator of 100 and do not replace general fraction reasoning.
Ratio tables or double number lines	Scaling and links among ratio, fractions and proportion.	Define the compared quantities and the whole clearly before using them.

Decision caveat

The year-by-year map is specific to England

England: use the Year 3 to Year 6 table as a curriculum map, while remembering that schools have flexibility within the key stage.

Wales: Curriculum for Wales uses a learning continuum and broad progression steps rather than England-style statutory lists for each primary year.

Scotland: Curriculum for Excellence uses levels and benchmarks rather than direct matches to England’s year groups.

Northern Ireland: the current statutory structure places Key Stage 2 in P5–P7. A Curriculum 2028 consultation opened on 16 June 2026 and was scheduled to close on 30 September 2026; the proposal was not the current statutory curriculum on 4 August 2026.

The dependency ladder can still help families across the UK, but the labels and timing should be understood through the child’s own school curriculum.

When this advice is not enough

You need to know exactly what your child is being taught now, which terminology the school uses, or whether a planned curriculum change has taken effect.

What to do instead

Use the school’s current curriculum information alongside the official guidance for your UK nation, and ask the teacher which earlier idea would be most useful to revisit.

A conversation starter you can adapt

A useful question to ask the teacher or tutor

When this applies

Your child can complete some fraction questions, but it is unclear whether the difficulty is fraction size, equivalence, fractions of quantities or the written procedure.

Suggested wording

My child can complete some fraction questions, but I am not sure whether the difficulty is fraction size, equivalence, fractions of quantities or the written procedure. Which representation and vocabulary are you using, and what earlier idea would be most useful to revisit?

Why this helps

This can help when errors persist across examples or representations, confidence is falling, or it is unclear whether the difficulty lies in the concept or the written method.

It keeps home support aligned with current teaching and asks for a specific starting point rather than more undifferentiated practice.

Tutor-matching note

When targeted KS2 maths support may help

One-to-one support may be worth considering when the source of difficulty remains unclear, the same errors persist across representations, or the child needs an explanation matched to a suspected earlier gap.

Latimer describes online one-to-one KS2 mathematics support across Years 3 to 6. Parents can compare tutor profiles, rates, availability and teaching background. Individual tutors may use different explanations, lesson structures and ways of reviewing progress, so ask how the tutor would identify and revisit the relevant fraction ideas.

On the tutor-matching page, families share the subject, level, goal and timing. Latimer may suggest up to three tutors using factors including subject, schedule and budget, and there is no obligation to book. A particular number of suitable matches or a learning outcome cannot be guaranteed.

Sources and further reading

The England curriculum claims come from statutory GOV.UK material first, supported by non-statutory Department for Education and NCETM guidance. Nation-specific sources explain the UK caveats; research sources support the cautious learning-science points; Latimer pages support only the service statements above.

GOV.UK — National curriculum in England: mathematics programmes of study

Department for Education · updated 28 September 2021 · accessed 4 August 2026

Open source 1
GOV.UK — Teaching mathematics in primary schools

Department for Education · published 6 July 2020; updated 28 September 2021 · accessed 4 August 2026

Open source 2
NCETM — Fractions: Primary Mastery Professional Development Materials

National Centre for Excellence in the Teaching of Mathematics · no date displayed · accessed 4 August 2026

Open source 3
NCETM — Unit fractions: identifying, representing and comparing

National Centre for Excellence in the Teaching of Mathematics · no date displayed · accessed 4 August 2026

Open source 4
NCETM — Exemplification of ready-to-progress criteria

National Centre for Excellence in the Teaching of Mathematics · no date displayed · accessed 4 August 2026

Open source 5
Peer-reviewed research — Developmental changes in the whole number bias

Published 2017 · accessed 4 August 2026

Open source 6
IES / What Works Clearinghouse — Developing Effective Fractions Instruction

US Institute of Education Sciences · September 2010 · accessed 4 August 2026 · US-based evidence guide

Open source 7
Hwb / Welsh Government — Introduction to Curriculum for Wales guidance

No date displayed · accessed 4 August 2026

Open source 8
Hwb / Welsh Government — Mathematics and Numeracy

No date displayed · accessed 4 August 2026

Open source 9
Education Scotland — Curriculum for Excellence Benchmarks

Updated 10 February 2026 · accessed 4 August 2026

Open source 10
Education Scotland — Numeracy and mathematics: Experiences and outcomes

No date displayed · accessed 4 August 2026

Open source 11
Department of Education, Northern Ireland — Statutory curriculum

No date displayed · accessed 4 August 2026

Open source 12
Department of Education, Northern Ireland — Curriculum 2028 consultation announcement

Published 16 June 2026 · accessed 4 August 2026

Open source 13
Latimer Tuition — KS2 Mathematics Tutors

Current service page · accessed 4 August 2026

Open source 14
Latimer Tuition — Match Me With a Tutor

Current matching page · accessed 4 August 2026

Open source 15

Related guidance

More guidance from this section

More guidance from this part of the Ed Centre that may help with the same decision, stage or next step.

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In England, there is no separate Year 6 writing SATs paper. Teachers judge a body of independent work against statutory standards, and school judgements may be checked through moderation.

Related guidance

KS2 SATs Reading at Home: What Helps Most?

Help your child build comprehension, vocabulary, inference and confidence, while using practice to reveal gaps rather than turning every evening into a mock test.

Related guidance

Key Stage 1 explained for parents

Understand what KS1 means in England, which ages and years it covers, what children learn, and how assessments work now.

Support and clarity

Frequently asked questions

Straight answers to the questions people ask most often.

What order are fractions taught in KS2?

In England, Year 3 establishes unit and non-unit fractions, magnitude, fractions of quantities and simple equivalence. Year 4 extends equivalence, hundredths, work beyond one whole and decimal links; Year 5 formalises mixed and improper fractions, related-denominator calculations and percentages; Year 6 uses factors, multiples and equivalence for unlike fractions and connects the reasoning with ratio and proportion. Schools can sequence and revisit material flexibly within the key stage.

What fractions should a child know in Year 3?

England’s Year 3 content includes equal parts, unit and non-unit fractions, fractions of sets, tenths, fractions as numbers on a number line, simple equivalence, comparison of unit or same-denominator fractions, and same-denominator addition or subtraction within one whole. The child should increasingly connect these ideas with equal sharing and known division facts.

What fractions should a child know in Year 4?

England’s Year 4 content develops families of equivalent fractions, hundredths, fractions of quantities, same-denominator calculation including beyond one whole, and common fraction-decimal links. Formal conversion between mixed numbers and improper fractions is statutory Year 5 content, although some non-statutory teaching sequences introduce work across one whole during Year 4.

Why does my child find Year 6 fractions difficult?

Year 6 questions often combine several earlier ideas: fraction magnitude, equivalence, factors, multiples, mixed numbers, multiplication and division. For example, difficulty adding unlike fractions may begin with equivalence or multiplication facts rather than addition itself. One mistake does not prove one missing skill, so compare several examples and representations.

Why can my child do fraction worksheets but not word problems?

A repeated worksheet may signal which written procedure to use. A word problem also requires the child to identify the whole, interpret the fraction as a number or operator, choose an operation and judge whether the result is reasonable. Ask the child to draw, estimate, explain and show the same value another way; this is a useful possibility to explore, not a diagnosis.

How are fractions connected to decimals and percentages?

They can represent the same proportional value: 1/4, 0.25 and 25% are equal. Fractions describe equal parts, decimals express the value through base-ten place value, and percentages express it per hundred. Showing one value on a number line, fraction strip and hundred square is more revealing than memorising isolated conversion rules.

Are fractions taught in the same years throughout the UK?

No. The detailed Year 3 to Year 6 map on this page follows England. Wales uses a learning continuum and broad progression steps; Scotland uses Curriculum for Excellence levels and benchmarks; Northern Ireland’s current Key Stage 2 covers P5–P7. The underlying mathematical dependencies remain useful, but labels and timing differ.

Official guidance

1.
GOV.UK — National curriculum in England: mathematics programmes of study
Department for Education · 2021-09-28 · Accessed 2026-08-04
Primary official source for England’s Year 3 to Year 6 mathematics programmes, curriculum flexibility and progression principle.
2.
GOV.UK — Teaching mathematics in primary schools
Department for Education · 2021-09-28 · Accessed 2026-08-04
Non-statutory guidance and year materials supporting concepts, representations and prerequisite knowledge. First published 6 July 2020.
3.
Hwb — Introduction to Curriculum for Wales guidance
Welsh Government / Hwb · Accessed 2026-08-04
Official explanation of Curriculum for Wales as a learning continuum with broad progression steps.
4.
Hwb — Mathematics and Numeracy
Welsh Government / Hwb · Accessed 2026-08-04
Supports Wales-specific mathematics and numeracy terminology and connected proficiencies.
5.
Education Scotland — Curriculum for Excellence Benchmarks
Education Scotland · 2026-02-10 · Accessed 2026-08-04
Official source for Scotland’s level-based progression and benchmarks.
6.
Education Scotland — Numeracy and mathematics: Experiences and outcomes
Education Scotland · Accessed 2026-08-04
Supports fraction, decimal, percentage and proportional content across Curriculum for Excellence levels.
7.
Department of Education, Northern Ireland — Statutory curriculum
Department of Education, Northern Ireland · Accessed 2026-08-04
Supports the current stage structure, including Key Stage 2 as P5–P7.
8.
Department of Education, Northern Ireland — Curriculum 2028 consultation announcement
Department of Education, Northern Ireland · 2026-06-16 · Accessed 2026-08-04
Supports the consultation dates and the status of Curriculum 2028 as a proposal on the review date.

Peer-reviewed research

1.
Developmental changes in the whole number bias
PubMed-indexed peer-reviewed research · 2017 · Accessed 2026-08-04
Supports the cautious definition of whole-number bias and evidence of individual variation.
2.
Developing Effective Fractions Instruction for Kindergarten Through 8th Grade
US Institute of Education Sciences / What Works Clearinghouse · 2010-09 · Accessed 2026-08-04
US-based evidence guide on fractions as numbers, number lines and meaningful procedures.

Internal pages

1.
Latimer Tuition — KS2 Mathematics Tutors
Latimer Tuition · Accessed 2026-08-04
2.
Latimer Tuition — Match Me With a Tutor
Latimer Tuition · Accessed 2026-08-04

Other sources

1.
NCETM — Fractions: Primary Mastery Professional Development Materials
National Centre for Excellence in the Teaching of Mathematics · Accessed 2026-08-04
Teaching spine used for coherent sequencing and the Year 4 work-across-one-whole nuance; non-statutory guidance.
2.
NCETM — Unit fractions: identifying, representing and comparing
National Centre for Excellence in the Teaching of Mathematics · Accessed 2026-08-04
Supports definitions and models for the whole, unit fractions, denominator meaning and equivalence.
3.
NCETM — Exemplification of ready-to-progress criteria
National Centre for Excellence in the Teaching of Mathematics · Accessed 2026-08-04
Supports looking back to previous-year material and describes ready-to-progress criteria as end-of-year goals.