Stationary Points
Stationary Points 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/stationary-points
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 Stationary Points
Introducing Stationary Points is a chapter within Stationary Points: a coherent run of lessons that can be taught in one go.
Working with Stationary Points
Working with Stationary Points is a chapter within Stationary Points: a coherent run of lessons that can be taught in one go.
Stationary Points in Context
Stationary Points in Context is a chapter within Stationary Points: 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 stationary points
UnderstandExplain stationary points 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 stationary points independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind stationary points using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate stationary points
ApplyCalculate stationary points 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 stationary points independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare stationary points
AnalyseCompare stationary points 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 stationary points independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind stationary points using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify stationary points
EvaluateJustify stationary points 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 stationary points 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.
- Tangents and NormalsUnit
- Differentiating PowersUnit
- TrigonometryDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners apply the correct method to stationary points but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Confident students rush stationary points 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.
EDE-161.1
Mapped statement covering Stationary Points.
CBS-266.2
Mapped statement covering Stationary Points.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
Integration
Integration is a curriculum strand within Calculus — 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
Stationary Points 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 lessontangents and normals
- 02Video explanationStationary Points 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 Stationary Points resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Stationary Points lessons
- Free Stationary Points lesson plans
- Free Stationary Points explanations
- Free Stationary Points worked examples
- Free Stationary Points real life examples
- Free Stationary Points common mistakes
- Free Stationary Points video lessons
- Free Stationary Points worksheets
- Free Stationary Points printable worksheets
- Free Stationary Points interactive worksheets
- Free Stationary Points homework worksheets
- Free Stationary Points revision worksheets
- Free Stationary Points word problems
- Free Stationary Points practice tests
- Free Stationary Points flashcards
- Free Stationary Points study notes
- Free Stationary Points revision notes
- Free Stationary Points cheat sheets
- Free Stationary Points formula sheets
- Free Stationary Points mind maps
- Free Stationary Points vocabulary lists
- Free Stationary Points quizzes
- Free Stationary Points timed quizzes
- Free Stationary Points adaptive quizzes
- Free Stationary Points mcqs
- Free Stationary Points true or false questions
- Free Stationary Points fill in the blanks
- Free Stationary Points matching exercises
- Free Stationary Points short questions
- Free Stationary Points long questions
- Free Stationary Points question banks
- Free Stationary Points exam questions
- Free Stationary Points past paper questions
- Free Stationary Points solved past papers
- Free Stationary Points mock exams
- Free Stationary Points activities
- Free Stationary Points stem activities
- Free Stationary Points experiments
- Free Stationary Points games
- Free Stationary Points projects
- Free Stationary Points case studies
- Free Stationary Points homework
- Free Stationary Points assignments
- Free Stationary Points reading comprehension
- Free Stationary Points writing prompts
- Free Stationary Points spelling practice
- Free Stationary Points grammar practice
- Free Stationary Points teacher guides
- Free Stationary Points parent guides
- Free Stationary Points ai tutor sessions
- Free Stationary Points practice sessions
- Free Stationary Points progress trackers
- Free Stationary Points printables
Connected resources
30 resource types are generated for Stationary Points 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 Stationary Points 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 Stationary Points?
- The graph lists Tangents and Normals, Differentiating Powers, Trigonometry as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Stationary Points 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 Stationary Points one-to-one with a tutor who can see exactly where the gap is.
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