Inverse Proportion
Inverse Proportion is a unit of teaching within Proportion, 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/number-sense/proportion/inverse-proportion
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 Inverse Proportion
Introducing Inverse Proportion is a chapter within Inverse Proportion: a coherent run of lessons that can be taught in one go.
Working with Inverse Proportion
Working with Inverse Proportion is a chapter within Inverse Proportion: a coherent run of lessons that can be taught in one go.
Inverse Proportion in Context
Inverse Proportion in Context is a chapter within Inverse Proportion: 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 inverse proportion
UnderstandExplain inverse proportion 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 inverse proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind inverse proportion using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate inverse proportion
ApplyCalculate inverse proportion 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 inverse proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare inverse proportion
AnalyseCompare inverse proportion 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 inverse proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind inverse proportion using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify inverse proportion
EvaluateJustify inverse proportion 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 inverse proportion 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.
- Direct ProportionUnit
- RatioStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of inverse proportion to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat inverse proportion as a rule to memorise rather than a relationship to understand.
Correction — Anchor the rule in a visual model first, then abstract it — the model is the explanation.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
OCR-745.1
Mapped statement covering Inverse Proportion.
CAM-509.2
Mapped statement covering Inverse Proportion.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Scale Factors
Scale Factors is a unit of teaching within Proportion, usually two to four weeks of lessons with one assessment point.
Best Buy Problems
Best Buy Problems is a unit of teaching within Proportion, usually two to four weeks of lessons with one assessment point.
Whole Numbers
Whole Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Counting
Counting is a curriculum strand within Number Sense — 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
Inverse Proportion 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 lessondirect proportion
- 02Video explanationInverse Proportion 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 Inverse Proportion resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Inverse Proportion lessons
- Free Inverse Proportion lesson plans
- Free Inverse Proportion explanations
- Free Inverse Proportion worked examples
- Free Inverse Proportion real life examples
- Free Inverse Proportion common mistakes
- Free Inverse Proportion video lessons
- Free Inverse Proportion worksheets
- Free Inverse Proportion printable worksheets
- Free Inverse Proportion interactive worksheets
- Free Inverse Proportion homework worksheets
- Free Inverse Proportion revision worksheets
- Free Inverse Proportion word problems
- Free Inverse Proportion practice tests
- Free Inverse Proportion flashcards
- Free Inverse Proportion study notes
- Free Inverse Proportion revision notes
- Free Inverse Proportion cheat sheets
- Free Inverse Proportion formula sheets
- Free Inverse Proportion mind maps
- Free Inverse Proportion vocabulary lists
- Free Inverse Proportion quizzes
- Free Inverse Proportion timed quizzes
- Free Inverse Proportion adaptive quizzes
- Free Inverse Proportion mcqs
- Free Inverse Proportion true or false questions
- Free Inverse Proportion fill in the blanks
- Free Inverse Proportion matching exercises
- Free Inverse Proportion short questions
- Free Inverse Proportion long questions
- Free Inverse Proportion question banks
- Free Inverse Proportion exam questions
- Free Inverse Proportion past paper questions
- Free Inverse Proportion solved past papers
- Free Inverse Proportion mock exams
- Free Inverse Proportion activities
- Free Inverse Proportion stem activities
- Free Inverse Proportion experiments
- Free Inverse Proportion games
- Free Inverse Proportion projects
- Free Inverse Proportion case studies
- Free Inverse Proportion homework
- Free Inverse Proportion assignments
- Free Inverse Proportion reading comprehension
- Free Inverse Proportion writing prompts
- Free Inverse Proportion spelling practice
- Free Inverse Proportion grammar practice
- Free Inverse Proportion teacher guides
- Free Inverse Proportion parent guides
- Free Inverse Proportion ai tutor sessions
- Free Inverse Proportion practice sessions
- Free Inverse Proportion progress trackers
- Free Inverse Proportion printables
Connected resources
30 resource types are generated for Inverse Proportion 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 Inverse Proportion 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 Inverse Proportion?
- The graph lists Direct Proportion, Ratio as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Inverse Proportion 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 Inverse Proportion one-to-one with a tutor who can see exactly where the gap is.
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