Working with Multiples
Working with Multiples is a chapter within Multiples: 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/factors-and-multiples/multiples/working-with-multiples
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 Multiples Essentials
Working with Multiples Essentials is a teachable topic within Working with Multiples, broken into subtopics that each take roughly one lesson.
Working with Multiples Techniques
Working with Multiples Techniques is a teachable topic within Working with Multiples, broken into subtopics that each take roughly one lesson.
Working with Multiples Word Problems
Working with Multiples Word Problems is a teachable topic within Working with Multiples, broken into subtopics that each take roughly one lesson.
Working with Multiples Common Errors
Working with Multiples Common Errors is a teachable topic within Working with Multiples, 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 multiples
RememberIdentify working with 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
Identify working with multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain working with multiples
UnderstandExplain working with 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 working with 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 working with multiples 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 multiples
ApplyCalculate working with 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 working with multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare working with multiples
AnalyseCompare working with 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 working with 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 working with multiples 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 MultiplesChapter
- FactorsUnit
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush working with multiples 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 working with multiples 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-205.1
Mapped statement covering Working with Multiples.
COL-230.2
Mapped statement covering Working with Multiples.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Multiples in Context
Multiples in Context is a chapter within Multiples: a coherent run of lessons that can be taught in one go.
Factors
Factors is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
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.
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 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 lessonintroducing multiples
- 02Video explanationWorking with Multiples 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 Multiples resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Working with Multiples lessons
- Free Working with Multiples lesson plans
- Free Working with Multiples explanations
- Free Working with Multiples worked examples
- Free Working with Multiples real life examples
- Free Working with Multiples common mistakes
- Free Working with Multiples video lessons
- Free Working with Multiples worksheets
- Free Working with Multiples printable worksheets
- Free Working with Multiples interactive worksheets
- Free Working with Multiples homework worksheets
- Free Working with Multiples revision worksheets
- Free Working with Multiples word problems
- Free Working with Multiples practice tests
- Free Working with Multiples flashcards
- Free Working with Multiples study notes
- Free Working with Multiples revision notes
- Free Working with Multiples cheat sheets
- Free Working with Multiples formula sheets
- Free Working with Multiples mind maps
- Free Working with Multiples vocabulary lists
- Free Working with Multiples quizzes
- Free Working with Multiples timed quizzes
- Free Working with Multiples adaptive quizzes
- Free Working with Multiples mcqs
- Free Working with Multiples true or false questions
- Free Working with Multiples fill in the blanks
- Free Working with Multiples matching exercises
- Free Working with Multiples short questions
- Free Working with Multiples long questions
- Free Working with Multiples question banks
- Free Working with Multiples exam questions
- Free Working with Multiples past paper questions
- Free Working with Multiples solved past papers
- Free Working with Multiples mock exams
- Free Working with Multiples activities
- Free Working with Multiples stem activities
- Free Working with Multiples experiments
- Free Working with Multiples games
- Free Working with Multiples projects
- Free Working with Multiples case studies
- Free Working with Multiples homework
- Free Working with Multiples assignments
- Free Working with Multiples reading comprehension
- Free Working with Multiples writing prompts
- Free Working with Multiples spelling practice
- Free Working with Multiples grammar practice
- Free Working with Multiples teacher guides
- Free Working with Multiples parent guides
- Free Working with Multiples ai tutor sessions
- Free Working with Multiples practice sessions
- Free Working with Multiples progress trackers
- Free Working with Multiples printables
Connected resources
30 resource types are generated for Working with 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 Working with Multiples 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 Multiples?
- The graph lists Introducing Multiples, Factors as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Working with Multiples 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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