Chain Rule
Chain Rule is a unit of teaching within Differentiation, 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/calculus/differentiation/chain-rule
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 Chain Rule
Introducing Chain Rule is a chapter within Chain Rule: a coherent run of lessons that can be taught in one go.
Working with Chain Rule
Working with Chain Rule is a chapter within Chain Rule: a coherent run of lessons that can be taught in one go.
Chain Rule in Context
Chain Rule in Context is a chapter within Chain Rule: 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 chain rule
UnderstandExplain chain rule 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 chain rule independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind chain rule using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate chain rule
ApplyCalculate chain rule 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 chain rule independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare chain rule
AnalyseCompare chain rule 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 chain rule independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind chain rule using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify chain rule
EvaluateJustify chain rule 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 chain rule 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.
- Stationary PointsUnit
- Tangents and NormalsUnit
- TrigonometryDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners apply the correct method to chain rule but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Confident students rush chain rule 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.
NAT-131.1
Mapped statement covering Chain Rule.
IB-466.2
Mapped statement covering Chain Rule.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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
Chain Rule 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 lessonstationary points
- 02Video explanationChain Rule 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 Chain Rule resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Chain Rule lessons
- Free Chain Rule lesson plans
- Free Chain Rule explanations
- Free Chain Rule worked examples
- Free Chain Rule real life examples
- Free Chain Rule common mistakes
- Free Chain Rule video lessons
- Free Chain Rule worksheets
- Free Chain Rule printable worksheets
- Free Chain Rule interactive worksheets
- Free Chain Rule homework worksheets
- Free Chain Rule revision worksheets
- Free Chain Rule word problems
- Free Chain Rule practice tests
- Free Chain Rule flashcards
- Free Chain Rule study notes
- Free Chain Rule revision notes
- Free Chain Rule cheat sheets
- Free Chain Rule formula sheets
- Free Chain Rule mind maps
- Free Chain Rule vocabulary lists
- Free Chain Rule quizzes
- Free Chain Rule timed quizzes
- Free Chain Rule adaptive quizzes
- Free Chain Rule mcqs
- Free Chain Rule true or false questions
- Free Chain Rule fill in the blanks
- Free Chain Rule matching exercises
- Free Chain Rule short questions
- Free Chain Rule long questions
- Free Chain Rule question banks
- Free Chain Rule exam questions
- Free Chain Rule past paper questions
- Free Chain Rule solved past papers
- Free Chain Rule mock exams
- Free Chain Rule activities
- Free Chain Rule stem activities
- Free Chain Rule experiments
- Free Chain Rule games
- Free Chain Rule projects
- Free Chain Rule case studies
- Free Chain Rule homework
- Free Chain Rule assignments
- Free Chain Rule reading comprehension
- Free Chain Rule writing prompts
- Free Chain Rule spelling practice
- Free Chain Rule grammar practice
- Free Chain Rule teacher guides
- Free Chain Rule parent guides
- Free Chain Rule ai tutor sessions
- Free Chain Rule practice sessions
- Free Chain Rule progress trackers
- Free Chain Rule printables
Connected resources
30 resource types are generated for Chain Rule 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 Chain Rule 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 Chain Rule?
- The graph lists Stationary Points, Tangents and Normals, Trigonometry as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Chain Rule 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 Chain Rule one-to-one with a tutor who can see exactly where the gap is.
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