3D Shapes
3D 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/3d-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.
Nets
Nets is a unit of teaching within 3D Shapes, usually two to four weeks of lessons with one assessment point.
Surface Area
Surface Area is a unit of teaching within 3D Shapes, usually two to four weeks of lessons with one assessment point.
Volume of Prisms
Volume of Prisms is a unit of teaching within 3D Shapes, usually two to four weeks of lessons with one assessment point.
Volume of Cylinders
Volume of Cylinders is a unit of teaching within 3D Shapes, usually two to four weeks of lessons with one assessment point.
Volume of Spheres
Volume of Spheres is a unit of teaching within 3D 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.
Explain 3d shapes
UnderstandExplain 3d 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 3d 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 3d shapes using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate 3d shapes
ApplyCalculate 3d 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 3d shapes independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare 3d shapes
AnalyseCompare 3d 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 3d 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 3d shapes using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify 3d shapes
EvaluateJustify 3d 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
Justify 3d shapes 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.
- Perimeter and AreaStrand
- 2D ShapesStrand
- AlgebraDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of 3d shapes to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat 3d 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.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
COL-685.1
Mapped statement covering 3D Shapes.
AQA-960.2
Mapped statement covering 3D Shapes.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
Number Sense
How quantity is represented, compared and manipulated before formal algebra.
Algebra
Algebra 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.
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
3D 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 lessonperimeter and area
- 02Video explanation3D 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 3D Shapes resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free 3D Shapes lessons
- Free 3D Shapes lesson plans
- Free 3D Shapes explanations
- Free 3D Shapes worked examples
- Free 3D Shapes real life examples
- Free 3D Shapes common mistakes
- Free 3D Shapes video lessons
- Free 3D Shapes worksheets
- Free 3D Shapes printable worksheets
- Free 3D Shapes interactive worksheets
- Free 3D Shapes homework worksheets
- Free 3D Shapes revision worksheets
- Free 3D Shapes word problems
- Free 3D Shapes practice tests
- Free 3D Shapes flashcards
- Free 3D Shapes study notes
- Free 3D Shapes revision notes
- Free 3D Shapes cheat sheets
- Free 3D Shapes formula sheets
- Free 3D Shapes mind maps
- Free 3D Shapes vocabulary lists
- Free 3D Shapes quizzes
- Free 3D Shapes timed quizzes
- Free 3D Shapes adaptive quizzes
- Free 3D Shapes mcqs
- Free 3D Shapes true or false questions
- Free 3D Shapes fill in the blanks
- Free 3D Shapes matching exercises
- Free 3D Shapes short questions
- Free 3D Shapes long questions
- Free 3D Shapes question banks
- Free 3D Shapes exam questions
- Free 3D Shapes past paper questions
- Free 3D Shapes solved past papers
- Free 3D Shapes mock exams
- Free 3D Shapes activities
- Free 3D Shapes stem activities
- Free 3D Shapes experiments
- Free 3D Shapes games
- Free 3D Shapes projects
- Free 3D Shapes case studies
- Free 3D Shapes homework
- Free 3D Shapes assignments
- Free 3D Shapes reading comprehension
- Free 3D Shapes writing prompts
- Free 3D Shapes spelling practice
- Free 3D Shapes grammar practice
- Free 3D Shapes teacher guides
- Free 3D Shapes parent guides
- Free 3D Shapes ai tutor sessions
- Free 3D Shapes practice sessions
- Free 3D Shapes progress trackers
- Free 3D Shapes printables
Connected resources
30 resource types are generated for 3D 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 3D 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 3D Shapes?
- The graph lists Perimeter and Area, 2D Shapes, Algebra as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is 3D 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 3D Shapes one-to-one with a tutor who can see exactly where the gap is.
Book a tutor