Triangles
Triangles is a unit of teaching within 2D Shapes, 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.
Unit
Depth 3 in the graph
math/geometry/2d-shapes/triangles
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.
Introducing Triangles
Introducing Triangles is a chapter within Triangles: a coherent run of lessons that can be taught in one go.
Working with Triangles
Working with Triangles is a chapter within Triangles: a coherent run of lessons that can be taught in one go.
Triangles in Context
Triangles in Context is a chapter within Triangles: 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 triangles
RememberIdentify triangles 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 triangles independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain triangles
UnderstandExplain triangles 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 triangles independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind triangles using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate triangles
ApplyCalculate triangles 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 triangles independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare triangles
AnalyseCompare triangles 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 triangles independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind triangles 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.
- AnglesStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush triangles and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Learners over-generalise a special case of triangles 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.
CBS-349.1
Mapped statement covering Triangles.
COL-474.2
Mapped statement covering Triangles.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
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
Triangles 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 explanationTriangles 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 Triangles resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Triangles lessons
- Free Triangles lesson plans
- Free Triangles explanations
- Free Triangles worked examples
- Free Triangles real life examples
- Free Triangles common mistakes
- Free Triangles video lessons
- Free Triangles worksheets
- Free Triangles printable worksheets
- Free Triangles interactive worksheets
- Free Triangles homework worksheets
- Free Triangles revision worksheets
- Free Triangles word problems
- Free Triangles practice tests
- Free Triangles flashcards
- Free Triangles study notes
- Free Triangles revision notes
- Free Triangles cheat sheets
- Free Triangles formula sheets
- Free Triangles mind maps
- Free Triangles vocabulary lists
- Free Triangles quizzes
- Free Triangles timed quizzes
- Free Triangles adaptive quizzes
- Free Triangles mcqs
- Free Triangles true or false questions
- Free Triangles fill in the blanks
- Free Triangles matching exercises
- Free Triangles short questions
- Free Triangles long questions
- Free Triangles question banks
- Free Triangles exam questions
- Free Triangles past paper questions
- Free Triangles solved past papers
- Free Triangles mock exams
- Free Triangles activities
- Free Triangles stem activities
- Free Triangles experiments
- Free Triangles games
- Free Triangles projects
- Free Triangles case studies
- Free Triangles homework
- Free Triangles assignments
- Free Triangles reading comprehension
- Free Triangles writing prompts
- Free Triangles spelling practice
- Free Triangles grammar practice
- Free Triangles teacher guides
- Free Triangles parent guides
- Free Triangles ai tutor sessions
- Free Triangles practice sessions
- Free Triangles progress trackers
- Free Triangles printables
Connected resources
30 resource types are generated for Triangles 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 Triangles 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 Triangles?
- The graph lists Angles as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Triangles 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 Triangles one-to-one with a tutor who can see exactly where the gap is.
Book a tutor