Substitution
Substitution 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/substitution
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 Substitution
Introducing Substitution is a chapter within Substitution: a coherent run of lessons that can be taught in one go.
Working with Substitution
Working with Substitution is a chapter within Substitution: a coherent run of lessons that can be taught in one go.
Substitution in Context
Substitution in Context is a chapter within Substitution: 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 substitution
UnderstandExplain substitution 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 substitution independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind substitution using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate substitution
ApplyCalculate substitution 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 substitution independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare substitution
AnalyseCompare substitution 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 substitution independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind substitution using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify substitution
EvaluateJustify substitution 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 substitution 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.
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners apply the correct method to substitution but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Confident students rush substitution and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
COL-827.1
Mapped statement covering Substitution.
AQA-420.2
Mapped statement covering Substitution.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Expanding Brackets
Expanding Brackets is a unit of teaching within Algebraic Expressions, usually two to four weeks of lessons with one assessment point.
Factorising
Factorising is a unit of teaching within Algebraic Expressions, usually two to four weeks of lessons with one assessment point.
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.
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
Substitution 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 lessoncollecting like terms
- 02Video explanationSubstitution 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 Substitution resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Substitution lessons
- Free Substitution lesson plans
- Free Substitution explanations
- Free Substitution worked examples
- Free Substitution real life examples
- Free Substitution common mistakes
- Free Substitution video lessons
- Free Substitution worksheets
- Free Substitution printable worksheets
- Free Substitution interactive worksheets
- Free Substitution homework worksheets
- Free Substitution revision worksheets
- Free Substitution word problems
- Free Substitution practice tests
- Free Substitution flashcards
- Free Substitution study notes
- Free Substitution revision notes
- Free Substitution cheat sheets
- Free Substitution formula sheets
- Free Substitution mind maps
- Free Substitution vocabulary lists
- Free Substitution quizzes
- Free Substitution timed quizzes
- Free Substitution adaptive quizzes
- Free Substitution mcqs
- Free Substitution true or false questions
- Free Substitution fill in the blanks
- Free Substitution matching exercises
- Free Substitution short questions
- Free Substitution long questions
- Free Substitution question banks
- Free Substitution exam questions
- Free Substitution past paper questions
- Free Substitution solved past papers
- Free Substitution mock exams
- Free Substitution activities
- Free Substitution stem activities
- Free Substitution experiments
- Free Substitution games
- Free Substitution projects
- Free Substitution case studies
- Free Substitution homework
- Free Substitution assignments
- Free Substitution reading comprehension
- Free Substitution writing prompts
- Free Substitution spelling practice
- Free Substitution grammar practice
- Free Substitution teacher guides
- Free Substitution parent guides
- Free Substitution ai tutor sessions
- Free Substitution practice sessions
- Free Substitution progress trackers
- Free Substitution printables
Connected resources
30 resource types are generated for Substitution 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 Substitution 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 Substitution?
- The graph lists Collecting Like Terms, Using Letters for Numbers, Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Substitution 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 Substitution one-to-one with a tutor who can see exactly where the gap is.
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