2D Shapes
2D Shapes is a curriculum strand within Geometry — 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.
Strand
Depth 2 in the graph
math/geometry/2d-shapes
11,180
60 topics · 1,800 concepts · 9,000 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Triangles
Triangles is a unit of teaching within 2D Shapes, usually two to four weeks of lessons with one assessment point.
Quadrilaterals
Quadrilaterals is a unit of teaching within 2D Shapes, usually two to four weeks of lessons with one assessment point.
Circles
Circles is a unit of teaching within 2D Shapes, usually two to four weeks of lessons with one assessment point.
Polygons
Polygons is a unit of teaching within 2D Shapes, usually two to four weeks of lessons with one assessment point.
Symmetry
Symmetry is a unit of teaching within 2D Shapes, 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 2d shapes
RememberIdentify 2d shapes 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 2d shapes independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain 2d shapes
UnderstandExplain 2d shapes 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 2d shapes independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind 2d shapes using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate 2d shapes
ApplyCalculate 2d shapes 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 2d shapes independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare 2d shapes
AnalyseCompare 2d shapes 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 2d shapes independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind 2d shapes 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.
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat 2d shapes 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.
Learners apply the correct method to 2d shapes but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
IB-549.1
Mapped statement covering 2D Shapes.
EDE-476.2
Mapped statement covering 2D Shapes.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Perimeter and Area
Perimeter and Area is a curriculum strand within Geometry — a thread that runs across grades and deepens each year.
3D Shapes
3D Shapes is a curriculum strand within Geometry — a thread that runs across grades and deepens each year.
Transformations
Transformations is a curriculum strand within Geometry — a thread that runs across grades and deepens each year.
Constructions
Constructions is a curriculum strand within Geometry — 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.
Scaffolded first attempt with worked support.
Standard curriculum demand, unscaffolded.
Multi-step questions and unfamiliar contexts.
Stretch tasks that need reasoning, not recall.
Competition-style problems built on the same idea.
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.
Audience views
2D Shapes in Grade 3, surfaced differently for each reader.
AI Tutor context chain
Open the tutor from here and it already knows where you are — this is the sequence it recommends.
- 01Prerequisite lessonangles
- 02Video explanation2D Shapes modelled end to end
- 03Interactive practiceAnswer on screen with instant checking
- 04QuizTen graded items with hints
- 05FlashcardsRetrieval on a 14-day schedule
- 06Common mistakesThe misconceptions stored on this node
- 07Harder worksheetSame concept, exam-level demand
- 08Past paper questionsBoard questions on this concept
- 09Mock testTimed, marked, with feedback
- 10Book a tutorOne-to-one on exactly this gap
Free 2D Shapes resources
Every format below is a free, standalone page generated from this entity — one page per format, each with every mode built in.
Connected resources
30 resource types are generated for 2D Shapes automatically — the graph never produces an entity without them.
Concept Explanation
The idea itself, explained from first principles.
Lesson
A taught sequence with modelling and checks for understanding.
Real Life Examples
Where the idea shows up outside school.
Common Mistakes
The misconceptions and how to correct them.
AI Tutor
Socratic one-to-one practice on this exact idea.
Quiz
Graded retrieval with hints and explanations.
Question Bank
Every question filtered to this entity.
MCQs
Multiple choice items with distractor analysis.
True or False
Fast misconception checks.
Fill in the Blanks
Cloze items for vocabulary and method.
Matching
Pair terms, models and definitions.
Short Questions
One to three mark responses.
Long Questions
Extended responses with method marks.
Exam Questions
Board-styled questions and command words.
Past Papers
Authentic papers filtered to this entity.
Solved Papers
Full worked solutions and examiner notes.
Frequently asked
- What sits underneath 2D Shapes in the knowledge graph?
- 0 domains, 0 strands, 5 units, 15 chapters, 60 topics, 300 subtopics, 1,800 concepts and 9,000 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before 2D Shapes?
- The graph lists Angles, Algebra as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is 2D Shapes taught in?
- Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.
Related resources
Work through 2D Shapes one-to-one with a tutor who can see exactly where the gap is.
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