Differentiation
Differentiation is a curriculum strand within Calculus — a thread that runs across grades and deepens each year.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Strand
Depth 2 in the graph
math/calculus/differentiation
13,416
72 topics · 2,160 concepts · 10,800 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Rate of Change
Rate of Change is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Differentiating Powers
Differentiating Powers is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Tangents and Normals
Tangents and Normals is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Stationary Points
Stationary Points is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Chain Rule
Chain Rule is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Product Rule
Product Rule is a unit of teaching within Differentiation, usually two to four weeks of lessons with one assessment point.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify differentiation
RememberIdentify differentiation 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 differentiation independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain differentiation
UnderstandExplain differentiation 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 differentiation independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind differentiation using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate differentiation
ApplyCalculate differentiation 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 differentiation independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare differentiation
AnalyseCompare differentiation 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 differentiation independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind differentiation 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.
- TrigonometryDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush differentiation 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 differentiation 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-649.1
Mapped statement covering Differentiation.
COL-514.2
Mapped statement covering Differentiation.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Integration
Integration is a curriculum strand within Calculus — a thread that runs across grades and deepens each year.
Number Sense
How quantity is represented, compared and manipulated before formal algebra.
Algebra
Algebra is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Geometry
Geometry is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
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
Differentiation 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 lessontrigonometry
- 02Video explanationDifferentiation 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 Differentiation resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Differentiation lessons
- Free Differentiation lesson plans
- Free Differentiation explanations
- Free Differentiation worked examples
- Free Differentiation real life examples
- Free Differentiation common mistakes
- Free Differentiation video lessons
- Free Differentiation worksheets
- Free Differentiation printable worksheets
- Free Differentiation interactive worksheets
- Free Differentiation homework worksheets
- Free Differentiation revision worksheets
- Free Differentiation word problems
- Free Differentiation practice tests
- Free Differentiation flashcards
- Free Differentiation study notes
- Free Differentiation revision notes
- Free Differentiation cheat sheets
- Free Differentiation formula sheets
- Free Differentiation mind maps
- Free Differentiation vocabulary lists
- Free Differentiation quizzes
- Free Differentiation timed quizzes
- Free Differentiation adaptive quizzes
- Free Differentiation mcqs
- Free Differentiation true or false questions
- Free Differentiation fill in the blanks
- Free Differentiation matching exercises
- Free Differentiation short questions
- Free Differentiation long questions
- Free Differentiation question banks
- Free Differentiation exam questions
- Free Differentiation past paper questions
- Free Differentiation solved past papers
- Free Differentiation mock exams
- Free Differentiation activities
- Free Differentiation stem activities
- Free Differentiation experiments
- Free Differentiation games
- Free Differentiation projects
- Free Differentiation case studies
- Free Differentiation homework
- Free Differentiation assignments
- Free Differentiation reading comprehension
- Free Differentiation writing prompts
- Free Differentiation spelling practice
- Free Differentiation grammar practice
- Free Differentiation teacher guides
- Free Differentiation parent guides
- Free Differentiation ai tutor sessions
- Free Differentiation practice sessions
- Free Differentiation progress trackers
- Free Differentiation printables
Connected resources
30 resource types are generated for Differentiation 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 Differentiation in the knowledge graph?
- 0 domains, 0 strands, 6 units, 18 chapters, 72 topics, 360 subtopics, 2,160 concepts and 10,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Differentiation?
- The graph lists Trigonometry as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Differentiation taught in?
- Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.
Related resources
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