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.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Chapter
Depth 4 in the graph
math/number-sense/proportion/direct-proportion/working-with-direct-proportion
744
4 topics · 120 concepts · 600 micro-concepts
Topics
Every topic below is a full entity with its own skills, objectives, misconceptions and resource set.
Working with Direct Proportion Essentials
Working with Direct Proportion Essentials is a teachable topic within Working with Direct Proportion, broken into subtopics that each take roughly one lesson.
Working with Direct Proportion Techniques
Working with Direct Proportion Techniques is a teachable topic within Working with Direct Proportion, broken into subtopics that each take roughly one lesson.
Working with Direct Proportion Word Problems
Working with Direct Proportion Word Problems is a teachable topic within Working with Direct Proportion, broken into subtopics that each take roughly one lesson.
Working with Direct Proportion Common Errors
Working with Direct Proportion Common Errors is a teachable topic within Working with Direct Proportion, broken into subtopics that each take roughly one lesson.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify working with direct proportion
RememberIdentify working with 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 working with direct proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain working with direct proportion
UnderstandExplain working with 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 working with 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 working with 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 working with direct proportion
ApplyCalculate working with 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 working with direct proportion independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare working with direct proportion
AnalyseCompare working with 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 working with 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 working with 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.
- Introducing Direct ProportionChapter
- RatioStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat working with 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 working with 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.
CAM-386.1
Mapped statement covering Working with Direct Proportion.
NAT-982.2
Mapped statement covering Working with Direct Proportion.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
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.
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
Working with 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 lessonintroducing direct proportion
- 02Video explanationWorking with Direct 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 Working with Direct Proportion resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Working with Direct Proportion lessons
- Free Working with Direct Proportion lesson plans
- Free Working with Direct Proportion explanations
- Free Working with Direct Proportion worked examples
- Free Working with Direct Proportion real life examples
- Free Working with Direct Proportion common mistakes
- Free Working with Direct Proportion video lessons
- Free Working with Direct Proportion worksheets
- Free Working with Direct Proportion printable worksheets
- Free Working with Direct Proportion interactive worksheets
- Free Working with Direct Proportion homework worksheets
- Free Working with Direct Proportion revision worksheets
- Free Working with Direct Proportion word problems
- Free Working with Direct Proportion practice tests
- Free Working with Direct Proportion flashcards
- Free Working with Direct Proportion study notes
- Free Working with Direct Proportion revision notes
- Free Working with Direct Proportion cheat sheets
- Free Working with Direct Proportion formula sheets
- Free Working with Direct Proportion mind maps
- Free Working with Direct Proportion vocabulary lists
- Free Working with Direct Proportion quizzes
- Free Working with Direct Proportion timed quizzes
- Free Working with Direct Proportion adaptive quizzes
- Free Working with Direct Proportion mcqs
- Free Working with Direct Proportion true or false questions
- Free Working with Direct Proportion fill in the blanks
- Free Working with Direct Proportion matching exercises
- Free Working with Direct Proportion short questions
- Free Working with Direct Proportion long questions
- Free Working with Direct Proportion question banks
- Free Working with Direct Proportion exam questions
- Free Working with Direct Proportion past paper questions
- Free Working with Direct Proportion solved past papers
- Free Working with Direct Proportion mock exams
- Free Working with Direct Proportion activities
- Free Working with Direct Proportion stem activities
- Free Working with Direct Proportion experiments
- Free Working with Direct Proportion games
- Free Working with Direct Proportion projects
- Free Working with Direct Proportion case studies
- Free Working with Direct Proportion homework
- Free Working with Direct Proportion assignments
- Free Working with Direct Proportion reading comprehension
- Free Working with Direct Proportion writing prompts
- Free Working with Direct Proportion spelling practice
- Free Working with Direct Proportion grammar practice
- Free Working with Direct Proportion teacher guides
- Free Working with Direct Proportion parent guides
- Free Working with Direct Proportion ai tutor sessions
- Free Working with Direct Proportion practice sessions
- Free Working with Direct Proportion progress trackers
- Free Working with Direct Proportion printables
Connected resources
30 resource types are generated for Working with 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 Working with Direct Proportion in the knowledge graph?
- 0 domains, 0 strands, 0 units, 0 chapters, 4 topics, 20 subtopics, 120 concepts and 600 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Working with Direct Proportion?
- The graph lists Introducing Direct Proportion, Ratio as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Working with 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
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