FreeMathWorksheet
Subject · Knowledge Graph

Math

Math as a complete field of study: every domain, strand, unit, chapter, topic, subtopic, concept and micro-concept mapped as one connected graph.

Entity profile

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

Entity type

Subject

Depth 0 in the graph

Graph ID

math

Grades
Grade 3Grade 4Grade 5
Beneath this node

525,521

2,820 topics · 84,600 concepts · 423,000 micro-concepts

Domains

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

Domain

Number Sense

How quantity is represented, compared and manipulated before formal algebra.

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.

Domain

Measurement

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

Domain

Statistics

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

Domain

Probability

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

Domain

Coordinate Geometry

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

Domain

Trigonometry

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

Domain

Calculus

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

Domain

Vectors

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

Domain

Matrices

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

Domain

Mathematical Reasoning

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

Skills and learning objectives

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

Explain math

Understand

  • Explain math 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 math independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind math using correct vocabulary.

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

    Assessment — Extended written response, levelled

Calculate math

Apply

  • Calculate math 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 math independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

Compare math

Analyse

  • Compare math 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 math independently in an unfamiliar context.

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

    Assessment — Marked worksheet with a marking scheme

  • Explain the reasoning behind math using correct vocabulary.

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

    Assessment — Extended written response, levelled

Justify math

Evaluate

  • Justify math 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 math 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

Entry point — nothing in this branch is required first.

Related entities

    Misconceptions

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

    Misconception

    Learners apply the correct method to math but ignore the context or units.

    Correction — Require an answer sentence with units on every applied question.

    Misconception

    Confident students rush math and skip the checking step.

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

    Curriculum alignment

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

    edexcel

    EDE-411.1

    Mapped statement covering Math.

    cbse

    CBS-638.2

    Mapped statement covering Math.

    What comes next

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

    Domain

    Number Sense

    How quantity is represented, compared and manipulated before formal algebra.

    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.

    Domain

    Measurement

    Measurement 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

    Math 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 lessonFoundations of Math
    2. 02Video explanationMath 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 Math 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 Math automatically — the graph never produces an entity without them.

    Frequently asked

    What sits underneath Math in the knowledge graph?
    12 domains, 49 strands, 235 units, 705 chapters, 2,820 topics, 14,100 subtopics, 84,600 concepts and 423,000 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
    What should a learner already know before Math?
    This entity sits at the start of its chain, so there are no prerequisites inside this branch.
    Which grades is Math taught in?
    Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.
    Tutoring

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

    Book a tutor