Factorising
Factorising is a unit of teaching within Algebraic Expressions, 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/algebra/algebraic-expressions/factorising
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 Factorising
Introducing Factorising is a chapter within Factorising: a coherent run of lessons that can be taught in one go.
Working with Factorising
Working with Factorising is a chapter within Factorising: a coherent run of lessons that can be taught in one go.
Factorising in Context
Factorising in Context is a chapter within Factorising: 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.
Explain factorising
UnderstandExplain factorising 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 factorising independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind factorising using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate factorising
ApplyCalculate factorising 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 factorising independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare factorising
AnalyseCompare factorising 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 factorising independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind factorising using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify factorising
EvaluateJustify factorising 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 factorising 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.
- Expanding BracketsUnit
- SubstitutionUnit
- Number SenseDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of factorising to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat factorising 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.
EDE-663.1
Mapped statement covering Factorising.
CBS-578.2
Mapped statement covering Factorising.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Algebraic Fractions
Algebraic Fractions is a unit of teaching within Algebraic Expressions, usually two to four weeks of lessons with one assessment point.
Equations
Equations is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Inequalities
Inequalities is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Sequences
Sequences is a curriculum strand within Algebra — 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
Factorising 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 lessonexpanding brackets
- 02Video explanationFactorising 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 Factorising resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Factorising lessons
- Free Factorising lesson plans
- Free Factorising explanations
- Free Factorising worked examples
- Free Factorising real life examples
- Free Factorising common mistakes
- Free Factorising video lessons
- Free Factorising worksheets
- Free Factorising printable worksheets
- Free Factorising interactive worksheets
- Free Factorising homework worksheets
- Free Factorising revision worksheets
- Free Factorising word problems
- Free Factorising practice tests
- Free Factorising flashcards
- Free Factorising study notes
- Free Factorising revision notes
- Free Factorising cheat sheets
- Free Factorising formula sheets
- Free Factorising mind maps
- Free Factorising vocabulary lists
- Free Factorising quizzes
- Free Factorising timed quizzes
- Free Factorising adaptive quizzes
- Free Factorising mcqs
- Free Factorising true or false questions
- Free Factorising fill in the blanks
- Free Factorising matching exercises
- Free Factorising short questions
- Free Factorising long questions
- Free Factorising question banks
- Free Factorising exam questions
- Free Factorising past paper questions
- Free Factorising solved past papers
- Free Factorising mock exams
- Free Factorising activities
- Free Factorising stem activities
- Free Factorising experiments
- Free Factorising games
- Free Factorising projects
- Free Factorising case studies
- Free Factorising homework
- Free Factorising assignments
- Free Factorising reading comprehension
- Free Factorising writing prompts
- Free Factorising spelling practice
- Free Factorising grammar practice
- Free Factorising teacher guides
- Free Factorising parent guides
- Free Factorising ai tutor sessions
- Free Factorising practice sessions
- Free Factorising progress trackers
- Free Factorising printables
Connected resources
30 resource types are generated for Factorising 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 Factorising 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 Factorising?
- The graph lists Expanding Brackets, Substitution, Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Factorising 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 Factorising one-to-one with a tutor who can see exactly where the gap is.
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