Working with Factorising
Working with Factorising is a chapter within Factorising: a coherent run of lessons that can be taught in one go.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Chapter
Depth 4 in the graph
math/algebra/algebraic-expressions/factorising/working-with-factorising
744
4 topics · 120 concepts · 600 micro-concepts
Topics
Every topic below is a full entity with its own skills, objectives, misconceptions and resource set.
Working with Factorising Essentials
Working with Factorising Essentials is a teachable topic within Working with Factorising, broken into subtopics that each take roughly one lesson.
Working with Factorising Techniques
Working with Factorising Techniques is a teachable topic within Working with Factorising, broken into subtopics that each take roughly one lesson.
Working with Factorising Word Problems
Working with Factorising Word Problems is a teachable topic within Working with Factorising, broken into subtopics that each take roughly one lesson.
Working with Factorising Common Errors
Working with Factorising Common Errors is a teachable topic within Working with Factorising, broken into subtopics that each take roughly one lesson.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify working with factorising
RememberIdentify working with 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
Identify working with factorising independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain working with factorising
UnderstandExplain working with 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 working with 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 working with factorising using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate working with factorising
ApplyCalculate working with 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 working with factorising independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare working with factorising
AnalyseCompare working with 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 working with 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 working with factorising 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.
- Introducing FactorisingChapter
- Expanding BracketsUnit
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush working with factorising 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 working with factorising 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.
CAM-508.1
Mapped statement covering Working with Factorising.
NAT-816.2
Mapped statement covering Working with Factorising.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Factorising in Context
Factorising in Context is a chapter within Factorising: a coherent run of lessons that can be taught in one go.
Using Letters for Numbers
Using Letters for Numbers is a unit of teaching within Algebraic Expressions, usually two to four weeks of lessons with one assessment point.
Collecting Like Terms
Collecting Like Terms is a unit of teaching within Algebraic Expressions, usually two to four weeks of lessons with one assessment point.
Substitution
Substitution is a unit of teaching within Algebraic Expressions, 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
Working with 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 lessonintroducing factorising
- 02Video explanationWorking with Factorising 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 Working with Factorising resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Working with Factorising lessons
- Free Working with Factorising lesson plans
- Free Working with Factorising explanations
- Free Working with Factorising worked examples
- Free Working with Factorising real life examples
- Free Working with Factorising common mistakes
- Free Working with Factorising video lessons
- Free Working with Factorising worksheets
- Free Working with Factorising printable worksheets
- Free Working with Factorising interactive worksheets
- Free Working with Factorising homework worksheets
- Free Working with Factorising revision worksheets
- Free Working with Factorising word problems
- Free Working with Factorising practice tests
- Free Working with Factorising flashcards
- Free Working with Factorising study notes
- Free Working with Factorising revision notes
- Free Working with Factorising cheat sheets
- Free Working with Factorising formula sheets
- Free Working with Factorising mind maps
- Free Working with Factorising vocabulary lists
- Free Working with Factorising quizzes
- Free Working with Factorising timed quizzes
- Free Working with Factorising adaptive quizzes
- Free Working with Factorising mcqs
- Free Working with Factorising true or false questions
- Free Working with Factorising fill in the blanks
- Free Working with Factorising matching exercises
- Free Working with Factorising short questions
- Free Working with Factorising long questions
- Free Working with Factorising question banks
- Free Working with Factorising exam questions
- Free Working with Factorising past paper questions
- Free Working with Factorising solved past papers
- Free Working with Factorising mock exams
- Free Working with Factorising activities
- Free Working with Factorising stem activities
- Free Working with Factorising experiments
- Free Working with Factorising games
- Free Working with Factorising projects
- Free Working with Factorising case studies
- Free Working with Factorising homework
- Free Working with Factorising assignments
- Free Working with Factorising reading comprehension
- Free Working with Factorising writing prompts
- Free Working with Factorising spelling practice
- Free Working with Factorising grammar practice
- Free Working with Factorising teacher guides
- Free Working with Factorising parent guides
- Free Working with Factorising ai tutor sessions
- Free Working with Factorising practice sessions
- Free Working with Factorising progress trackers
- Free Working with Factorising printables
Connected resources
30 resource types are generated for Working with 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 Working with Factorising in the knowledge graph?
- 0 domains, 0 strands, 0 units, 0 chapters, 4 topics, 20 subtopics, 120 concepts and 600 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Working with Factorising?
- The graph lists Introducing Factorising, Expanding Brackets as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Working with 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 Working with Factorising one-to-one with a tutor who can see exactly where the gap is.
Book a tutor