Direct Proportion
Direct 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/direct-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 Direct Proportion
Introducing Direct Proportion is a chapter within Direct Proportion: a coherent run of lessons that can be taught in one go.
Working with Direct Proportion
Working with Direct Proportion is a chapter within Direct Proportion: a coherent run of lessons that can be taught in one go.
Direct Proportion in Context
Direct Proportion in Context is a chapter within Direct 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.
Identify direct proportion
RememberIdentify direct 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
Identify direct proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain direct proportion
UnderstandExplain direct 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 direct 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 direct proportion using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate direct proportion
ApplyCalculate direct 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 direct proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare direct proportion
AnalyseCompare direct 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 direct 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 direct proportion 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.
- RatioStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat direct 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.
Learners apply the correct method to direct proportion but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
CBS-381.1
Mapped statement covering Direct Proportion.
COL-256.2
Mapped statement covering Direct Proportion.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Inverse Proportion
Inverse Proportion is a unit of teaching within Proportion, usually two to four weeks of lessons with one assessment point.
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.
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
Direct 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 lessonratio
- 02Video explanationDirect 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 Direct Proportion resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Direct Proportion lessons
- Free Direct Proportion lesson plans
- Free Direct Proportion explanations
- Free Direct Proportion worked examples
- Free Direct Proportion real life examples
- Free Direct Proportion common mistakes
- Free Direct Proportion video lessons
- Free Direct Proportion worksheets
- Free Direct Proportion printable worksheets
- Free Direct Proportion interactive worksheets
- Free Direct Proportion homework worksheets
- Free Direct Proportion revision worksheets
- Free Direct Proportion word problems
- Free Direct Proportion practice tests
- Free Direct Proportion flashcards
- Free Direct Proportion study notes
- Free Direct Proportion revision notes
- Free Direct Proportion cheat sheets
- Free Direct Proportion formula sheets
- Free Direct Proportion mind maps
- Free Direct Proportion vocabulary lists
- Free Direct Proportion quizzes
- Free Direct Proportion timed quizzes
- Free Direct Proportion adaptive quizzes
- Free Direct Proportion mcqs
- Free Direct Proportion true or false questions
- Free Direct Proportion fill in the blanks
- Free Direct Proportion matching exercises
- Free Direct Proportion short questions
- Free Direct Proportion long questions
- Free Direct Proportion question banks
- Free Direct Proportion exam questions
- Free Direct Proportion past paper questions
- Free Direct Proportion solved past papers
- Free Direct Proportion mock exams
- Free Direct Proportion activities
- Free Direct Proportion stem activities
- Free Direct Proportion experiments
- Free Direct Proportion games
- Free Direct Proportion projects
- Free Direct Proportion case studies
- Free Direct Proportion homework
- Free Direct Proportion assignments
- Free Direct Proportion reading comprehension
- Free Direct Proportion writing prompts
- Free Direct Proportion spelling practice
- Free Direct Proportion grammar practice
- Free Direct Proportion teacher guides
- Free Direct Proportion parent guides
- Free Direct Proportion ai tutor sessions
- Free Direct Proportion practice sessions
- Free Direct Proportion progress trackers
- Free Direct Proportion printables
Connected resources
30 resource types are generated for Direct 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 Direct 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 Direct Proportion?
- The graph lists Ratio as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Direct 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 Direct Proportion one-to-one with a tutor who can see exactly where the gap is.
Book a tutor