Ratio
Ratio is a curriculum strand within Number Sense — 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/number-sense/ratio
8,944
48 topics · 1,440 concepts · 7,200 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Writing Ratios
Writing Ratios is a unit of teaching within Ratio, usually two to four weeks of lessons with one assessment point.
Simplifying Ratios
Simplifying Ratios is a unit of teaching within Ratio, usually two to four weeks of lessons with one assessment point.
Sharing in a Ratio
Sharing in a Ratio is a unit of teaching within Ratio, usually two to four weeks of lessons with one assessment point.
Ratio Word Problems
Ratio Word Problems is a unit of teaching within Ratio, 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 ratio
RememberIdentify ratio 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 ratio independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain ratio
UnderstandExplain ratio 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 ratio independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind ratio using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate ratio
ApplyCalculate ratio 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 ratio independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare ratio
AnalyseCompare ratio 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 ratio independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind ratio 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.
- Complex NumbersStrand
- Real NumbersStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush ratio 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 ratio 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-235.1
Mapped statement covering Ratio.
COL-798.2
Mapped statement covering Ratio.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Proportion
Proportion is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Factors and Multiples
Factors and Multiples is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Powers and Roots
Powers and Roots is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Algebra
Algebra 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
Ratio 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 lessoncomplex numbers
- 02Video explanationRatio 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 Ratio resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Ratio lessons
- Free Ratio lesson plans
- Free Ratio explanations
- Free Ratio worked examples
- Free Ratio real life examples
- Free Ratio common mistakes
- Free Ratio video lessons
- Free Ratio worksheets
- Free Ratio printable worksheets
- Free Ratio interactive worksheets
- Free Ratio homework worksheets
- Free Ratio revision worksheets
- Free Ratio word problems
- Free Ratio practice tests
- Free Ratio flashcards
- Free Ratio study notes
- Free Ratio revision notes
- Free Ratio cheat sheets
- Free Ratio formula sheets
- Free Ratio mind maps
- Free Ratio vocabulary lists
- Free Ratio quizzes
- Free Ratio timed quizzes
- Free Ratio adaptive quizzes
- Free Ratio mcqs
- Free Ratio true or false questions
- Free Ratio fill in the blanks
- Free Ratio matching exercises
- Free Ratio short questions
- Free Ratio long questions
- Free Ratio question banks
- Free Ratio exam questions
- Free Ratio past paper questions
- Free Ratio solved past papers
- Free Ratio mock exams
- Free Ratio activities
- Free Ratio stem activities
- Free Ratio experiments
- Free Ratio games
- Free Ratio projects
- Free Ratio case studies
- Free Ratio homework
- Free Ratio assignments
- Free Ratio reading comprehension
- Free Ratio writing prompts
- Free Ratio spelling practice
- Free Ratio grammar practice
- Free Ratio teacher guides
- Free Ratio parent guides
- Free Ratio ai tutor sessions
- Free Ratio practice sessions
- Free Ratio progress trackers
- Free Ratio printables
Connected resources
30 resource types are generated for Ratio 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 Ratio in the knowledge graph?
- 0 domains, 0 strands, 4 units, 12 chapters, 48 topics, 240 subtopics, 1,440 concepts and 7,200 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Ratio?
- The graph lists Complex Numbers, Real Numbers as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Ratio 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 Ratio one-to-one with a tutor who can see exactly where the gap is.
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