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Unit · Math · Mathematical Reasoning · Problem Solving

Modelling

Modelling is a unit of teaching within Problem Solving, usually two to four weeks of lessons with one assessment point.

Entity profile

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

Entity type

Unit

Depth 3 in the graph

Graph ID

math/mathematical-reasoning/problem-solving/modelling

Grades
Grade 3Grade 4Grade 5
Beneath this node

2,235

12 topics · 360 concepts · 1,800 micro-concepts

Chapters

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

Chapter

Introducing Modelling

Introducing Modelling is a chapter within Modelling: a coherent run of lessons that can be taught in one go.

Chapter

Working with Modelling

Working with Modelling is a chapter within Modelling: a coherent run of lessons that can be taught in one go.

Chapter

Modelling in Context

Modelling in Context is a chapter within Modelling: a coherent run of lessons that can be taught in one go.

Skills and learning objectives

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

Identify modelling

Remember

  • Identify modelling 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 modelling independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

Explain modelling

Understand

  • Explain modelling 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 modelling independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind modelling using correct vocabulary.

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

    Assessment — Extended written response, levelled

Calculate modelling

Apply

  • Calculate modelling 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 modelling independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

Compare modelling

Analyse

  • Compare modelling 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 modelling independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind modelling 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 modelling 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 modelling 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.

common-core

COM-829.1

Mapped statement covering Modelling.

ocr

OCR-502.2

Mapped statement covering Modelling.

What comes next

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

Unit

Checking Reasonableness

Checking Reasonableness is a unit of teaching within Problem Solving, usually two to four weeks of lessons with one assessment point.

Strand

Proof

Proof is a curriculum strand within Mathematical Reasoning — 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

Modelling 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 lessonmulti step problems
  2. 02Video explanationModelling 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 Modelling 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 Modelling automatically — the graph never produces an entity without them.

Frequently asked

What sits underneath Modelling in the knowledge graph?
0 domains, 0 strands, 0 units, 3 chapters, 12 topics, 60 subtopics, 360 concepts and 1,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
What should a learner already know before Modelling?
The graph lists Multi-step Problems, Proof as prerequisites. Each links to its own practice so a gap can be closed before moving on.
Which grades is Modelling 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 Modelling one-to-one with a tutor who can see exactly where the gap is.

Book a tutor