Multiples
Multiples is a unit of teaching within Factors and Multiples, 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/factors-and-multiples/multiples
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 Multiples
Introducing Multiples is a chapter within Multiples: a coherent run of lessons that can be taught in one go.
Working with Multiples
Working with Multiples is a chapter within Multiples: a coherent run of lessons that can be taught in one go.
Multiples in Context
Multiples in Context is a chapter within Multiples: 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.
Explain multiples
UnderstandExplain multiples 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 multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind multiples using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate multiples
ApplyCalculate multiples 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 multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare multiples
AnalyseCompare multiples 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 multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind multiples using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify multiples
EvaluateJustify multiples 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 multiples 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.
- FactorsUnit
- ProportionStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of multiples to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat multiples 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.
NAT-737.1
Mapped statement covering Multiples.
IB-136.2
Mapped statement covering Multiples.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Prime Numbers
Prime Numbers is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Prime Factorisation
Prime Factorisation is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
HCF
HCF is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
LCM
LCM is a unit of teaching within Factors and Multiples, 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
Multiples 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 lessonfactors
- 02Video explanationMultiples 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 Multiples resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Multiples lessons
- Free Multiples lesson plans
- Free Multiples explanations
- Free Multiples worked examples
- Free Multiples real life examples
- Free Multiples common mistakes
- Free Multiples video lessons
- Free Multiples worksheets
- Free Multiples printable worksheets
- Free Multiples interactive worksheets
- Free Multiples homework worksheets
- Free Multiples revision worksheets
- Free Multiples word problems
- Free Multiples practice tests
- Free Multiples flashcards
- Free Multiples study notes
- Free Multiples revision notes
- Free Multiples cheat sheets
- Free Multiples formula sheets
- Free Multiples mind maps
- Free Multiples vocabulary lists
- Free Multiples quizzes
- Free Multiples timed quizzes
- Free Multiples adaptive quizzes
- Free Multiples mcqs
- Free Multiples true or false questions
- Free Multiples fill in the blanks
- Free Multiples matching exercises
- Free Multiples short questions
- Free Multiples long questions
- Free Multiples question banks
- Free Multiples exam questions
- Free Multiples past paper questions
- Free Multiples solved past papers
- Free Multiples mock exams
- Free Multiples activities
- Free Multiples stem activities
- Free Multiples experiments
- Free Multiples games
- Free Multiples projects
- Free Multiples case studies
- Free Multiples homework
- Free Multiples assignments
- Free Multiples reading comprehension
- Free Multiples writing prompts
- Free Multiples spelling practice
- Free Multiples grammar practice
- Free Multiples teacher guides
- Free Multiples parent guides
- Free Multiples ai tutor sessions
- Free Multiples practice sessions
- Free Multiples progress trackers
- Free Multiples printables
Connected resources
30 resource types are generated for Multiples 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 Multiples 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 Multiples?
- The graph lists Factors, Proportion as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Multiples 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 Multiples one-to-one with a tutor who can see exactly where the gap is.
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