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Strand · Math · Number Sense

Fractions

Numbers that describe equal parts of a whole or of a set.

Entity profile

Every node stores the same attribute set, which is why the hierarchy can grow without new templates.

Entity type

Strand

Depth 2 in the graph

Graph ID

math/number-sense/fractions

Grades
Grade 3Grade 4Grade 5
Beneath this node

58,136

312 topics · 9,360 concepts · 46,800 micro-concepts

Units

Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.

Unit

Introduction to Fractions

Introduction to Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Parts of a Fraction

Parts of a Fraction is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Numerator

Numerator is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Denominator

Denominator is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Unit Fractions

Unit Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Proper Fractions

Proper Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Improper Fractions

Improper Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Mixed Numbers

Mixed Numbers is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Equivalent Fractions

Equivalent Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Simplifying Fractions

Simplifying Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Comparing Fractions

Comparing Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Ordering Fractions

Ordering Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fractions on a Number Line

Fractions on a Number Line is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fraction Models

Fraction Models is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Adding Fractions

Adding Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Subtracting Fractions

Subtracting Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Multiplying Fractions

Multiplying Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Dividing Fractions

Dividing Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fraction of a Quantity

Fraction of a Quantity is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fractions to Decimals

Fractions to Decimals is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Decimals to Fractions

Decimals to Fractions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fractions to Percentages

Fractions to Percentages is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fraction Word Problems

Fraction Word Problems is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fractions in Real Life

Fractions in Real Life is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Common Fraction Errors

Common Fraction Errors is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Unit

Fractions in Exam Questions

Fractions in Exam Questions is a unit of teaching within Fractions, usually two to four weeks of lessons with one assessment point.

Skills and learning objectives

Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.

Identify fractions

Remember

  • Identify fractions accurately in a familiar context.

    Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

    Assessment — Exit ticket of four short items

  • Identify fractions independently in an unfamiliar context.

    Activities — Independent worksheet · Card sort · Concept-check quiz

    Assessment — Marked worksheet with a marking scheme

Explain fractions

Understand

  • Explain fractions accurately in a familiar context.

    Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

    Assessment — Exit ticket of four short items

  • Explain fractions independently in an unfamiliar context.

    Activities — Independent worksheet · Card sort · Concept-check quiz

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind fractions using correct vocabulary.

    Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

    Assessment — Extended written response, levelled

Calculate fractions

Apply

  • Calculate fractions accurately in a familiar context.

    Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

    Assessment — Exit ticket of four short items

  • Calculate fractions independently in an unfamiliar context.

    Activities — Independent worksheet · Card sort · Concept-check quiz

    Assessment — Marked worksheet with a marking scheme

Compare fractions

Analyse

  • Compare fractions accurately in a familiar context.

    Activities — Modelled example on the board · Paired talk task · Mini whiteboard check

    Assessment — Exit ticket of four short items

  • Compare fractions independently in an unfamiliar context.

    Activities — Independent worksheet · Card sort · Concept-check quiz

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind fractions using correct vocabulary.

    Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

    Assessment — Extended written response, levelled

Semantic relationships

Prerequisite and related edges are what make this a graph rather than a menu.

Prerequisites
Related entities

Misconceptions

Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.

Misconception

Confident students rush fractions and skip the checking step.

Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.

Misconception

Learners over-generalise a special case of fractions to every situation.

Correction — Present a deliberate non-example and ask why the rule fails.

Curriculum alignment

Curricula, boards and countries are data — adding one never changes the architecture.

cambridge

CAM-156.1

Mapped statement covering Fractions.

national-curriculum

NAT-808.2

Mapped statement covering Fractions.

What comes next

Curriculum order is an edge in the graph, so every entity knows the step that follows it.

Strand

Decimals

Decimals is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.

Strand

Percentages

Percentages is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.

Strand

Rational Numbers

Rational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.

Strand

Irrational Numbers

Irrational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.

Difficulty ladder

The same entity, six levels of demand — easy through to olympiad and exam level.

Easy

Scaffolded first attempt with worked support.

Medium

Standard curriculum demand, unscaffolded.

Hard

Multi-step questions and unfamiliar contexts.

Challenge

Stretch tasks that need reasoning, not recall.

Olympiad

Competition-style problems built on the same idea.

Exam level

Board-styled questions with mark schemes.

Learning intent

Not every visitor wants the same thing. Each intent routes to the resource that actually does that job.

LearnMeet the idea for the first time.UnderstandSee it modelled and explained.WatchVisual walkthrough of the method.PractiseWorksheets from easy to exam level.TestGraded quiz with hints and feedback.ReviseCondensed notes for the week before.MemoriseSpaced-repetition flashcard deck.DownloadEverything as a printable pack.PrintA4 and US Letter, printer friendly.TeachMinute-by-minute lesson plan.ExplainSocratic explanation from the AI Tutor.AssessMock exam and past-paper questions.MasterMixed retrieval until it is automatic.

Audience views

Fractions in Grade 3, surfaced differently for each reader.

Student view

Learn it, practise it, check it.

Teacher view

Plan, differentiate, assess, mark.

Parent view

Support homework without re-teaching.

Tutor view

Diagnose the gap, then close it.

Homeschool view

A full sequence you can deliver at home.

AI Tutor context chain

Open the tutor from here and it already knows where you are — this is the sequence it recommends.

  1. 01Prerequisite lessonintegers
  2. 02Video explanationFractions modelled end to end
  3. 03Interactive practiceAnswer on screen with instant checking
  4. 04QuizTen graded items with hints
  5. 05FlashcardsRetrieval on a 14-day schedule
  6. 06Common mistakesThe misconceptions stored on this node
  7. 07Harder worksheetSame concept, exam-level demand
  8. 08Past paper questionsBoard questions on this concept
  9. 09Mock testTimed, marked, with feedback
  10. 10Book a tutorOne-to-one on exactly this gap

Free Fractions resources

Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.

Connected resources

30 resource types are generated for Fractions automatically — the graph never produces an entity without them.

Frequently asked

What sits underneath Fractions in the knowledge graph?
0 domains, 0 strands, 26 units, 78 chapters, 312 topics, 1,560 subtopics, 9,360 concepts and 46,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
What should a learner already know before Fractions?
The graph lists Integers, Number Formation as prerequisites. Each links to its own practice so a gap can be closed before moving on.
Which grades is Fractions taught in?
Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.

Related resources

Tutoring

Work through Fractions one-to-one with a tutor who can see exactly where the gap is.

Book a tutor