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Unit · Math · Number Sense · Percentages

Reverse Percentages

Reverse Percentages is a unit of teaching within Percentages, 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.

Entity type

Unit

Depth 3 in the graph

Graph ID

math/number-sense/percentages/reverse-percentages

Grades
Grade 3Grade 4Grade 5
Beneath this node

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.

Skills and learning objectives

Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.

Explain reverse percentages

Understand
  • Explain reverse 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 reverse 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 reverse percentages using correct vocabulary.

    Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

    Assessment — Extended written response, levelled

Calculate reverse percentages

Apply
  • Calculate reverse 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 reverse percentages independently in an unfamiliar context.

    Activities — Independent worksheet · Card sort · Concept-check quiz

    Assessment — Marked worksheet with a marking scheme

Compare reverse percentages

Analyse
  • Compare reverse 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 reverse 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 reverse percentages using correct vocabulary.

    Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session

    Assessment — Extended written response, levelled

Justify reverse percentages

Evaluate
  • Justify reverse 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

  • Justify reverse percentages 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.

Misconceptions

Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.

Misconception

Learners over-generalise a special case of reverse percentages to every situation.

Correction — Present a deliberate non-example and ask why the rule fails.

Misconception

Students treat reverse 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.

Curriculum alignment

Curricula, boards and countries are data — adding one never changes the architecture.

ocr

OCR-625.1

Mapped statement covering Reverse Percentages.

cambridge

CAM-991.2

Mapped statement covering Reverse Percentages.

What comes next

Curriculum order is an edge in the graph, so every entity knows the step that follows it.

Difficulty ladder

The same entity, six levels of demand — easy through to olympiad and exam level.

Learning intent

Not every visitor wants the same thing. Each intent routes to the resource that actually does that job.

Audience views

Reverse 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.

Free Reverse Percentages resources

Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.

Connected resources

30 resource types are generated for Reverse Percentages automatically — the graph never produces an entity without them.

Frequently asked

What sits underneath Reverse Percentages 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 Reverse Percentages?
The graph lists Percentage Decrease, Percentage Increase, Decimals as prerequisites. Each links to its own practice so a gap can be closed before moving on.
Which grades is Reverse Percentages taught in?
Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.

Related resources

Tutoring

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