FreeMathWorksheet
Strand · Math · Number Sense

Proportion

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

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/proportion

Grades
Grade 3Grade 4Grade 5
Beneath this node

8,944

48 topics · 1,440 concepts · 7,200 micro-concepts

Units

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

Unit

Direct Proportion

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

Unit

Inverse Proportion

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

Unit

Scale Factors

Scale Factors is a unit of teaching within Proportion, usually two to four weeks of lessons with one assessment point.

Unit

Best Buy Problems

Best Buy Problems is a unit of teaching within Proportion, 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.

Explain proportion

Understand

  • Explain proportion 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 proportion independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind proportion using correct vocabulary.

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

    Assessment — Extended written response, levelled

Calculate proportion

Apply

  • Calculate proportion 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 proportion independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

Compare proportion

Analyse

  • Compare proportion 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 proportion independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind proportion using correct vocabulary.

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

    Assessment — Extended written response, levelled

Justify proportion

Evaluate

  • Justify proportion accurately in a familiar context.

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

    Assessment — Exit ticket of four short items

  • Justify proportion independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

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

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

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

Misconception

Students treat proportion as a rule to memorise rather than a relationship to understand.

Correction — Anchor the rule in a visual model first, then abstract it — the model is the explanation.

Curriculum alignment

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

ocr

OCR-325.1

Mapped statement covering Proportion.

cambridge

CAM-131.2

Mapped statement covering Proportion.

What comes next

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

Strand

Factors and Multiples

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

Strand

Powers and Roots

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

Domain

Algebra

Algebra is a major domain within Math, grouping the strands that share the same underlying ideas and methods.

Domain

Geometry

Geometry is a major domain within Math, grouping the strands that share the same underlying ideas and methods.

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

Proportion 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 lessonratio
  2. 02Video explanationProportion 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 Proportion 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 Proportion automatically — the graph never produces an entity without them.

Frequently asked

What sits underneath Proportion in the knowledge graph?
0 domains, 0 strands, 4 units, 12 chapters, 48 topics, 240 subtopics, 1,440 concepts and 7,200 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
What should a learner already know before Proportion?
The graph lists Ratio, Complex Numbers as prerequisites. Each links to its own practice so a gap can be closed before moving on.
Which grades is Proportion 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 Proportion one-to-one with a tutor who can see exactly where the gap is.

Book a tutor