Percentages
Percentages 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/percentages
15,652
84 topics · 2,520 concepts · 12,600 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Percentage of an Amount
Percentage of an Amount is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Percentage Increase
Percentage Increase is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Percentage Decrease
Percentage Decrease is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Reverse Percentages
Reverse Percentages is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Percentage Change
Percentage Change is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Simple Interest
Simple Interest is a unit of teaching within Percentages, usually two to four weeks of lessons with one assessment point.
Compound Interest
Compound Interest is a unit of teaching within Percentages, 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 percentages
RememberIdentify percentages 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 percentages independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain percentages
UnderstandExplain percentages 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 percentages independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind percentages using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate percentages
ApplyCalculate percentages 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 percentages independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare percentages
AnalyseCompare percentages 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 percentages independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind percentages 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.
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat percentages 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 percentages 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-879.1
Mapped statement covering Percentages.
COL-108.2
Mapped statement covering Percentages.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Rational Numbers
Rational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Irrational Numbers
Irrational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Real Numbers
Real Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Complex Numbers
Complex 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
Percentages 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 lessondecimals
- 02Video explanationPercentages 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 Percentages resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Percentages lessons
- Free Percentages lesson plans
- Free Percentages explanations
- Free Percentages worked examples
- Free Percentages real life examples
- Free Percentages common mistakes
- Free Percentages video lessons
- Free Percentages worksheets
- Free Percentages printable worksheets
- Free Percentages interactive worksheets
- Free Percentages homework worksheets
- Free Percentages revision worksheets
- Free Percentages word problems
- Free Percentages practice tests
- Free Percentages flashcards
- Free Percentages study notes
- Free Percentages revision notes
- Free Percentages cheat sheets
- Free Percentages formula sheets
- Free Percentages mind maps
- Free Percentages vocabulary lists
- Free Percentages quizzes
- Free Percentages timed quizzes
- Free Percentages adaptive quizzes
- Free Percentages mcqs
- Free Percentages true or false questions
- Free Percentages fill in the blanks
- Free Percentages matching exercises
- Free Percentages short questions
- Free Percentages long questions
- Free Percentages question banks
- Free Percentages exam questions
- Free Percentages past paper questions
- Free Percentages solved past papers
- Free Percentages mock exams
- Free Percentages activities
- Free Percentages stem activities
- Free Percentages experiments
- Free Percentages games
- Free Percentages projects
- Free Percentages case studies
- Free Percentages homework
- Free Percentages assignments
- Free Percentages reading comprehension
- Free Percentages writing prompts
- Free Percentages spelling practice
- Free Percentages grammar practice
- Free Percentages teacher guides
- Free Percentages parent guides
- Free Percentages ai tutor sessions
- Free Percentages practice sessions
- Free Percentages progress trackers
- Free Percentages printables
Connected resources
30 resource types are generated for Percentages 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 Percentages in the knowledge graph?
- 0 domains, 0 strands, 7 units, 21 chapters, 84 topics, 420 subtopics, 2,520 concepts and 12,600 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Percentages?
- The graph lists Decimals, Fractions as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Percentages 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 Percentages one-to-one with a tutor who can see exactly where the gap is.
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