Sample Space Diagrams
Sample Space Diagrams is a unit of teaching within Combined Events, 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/probability/combined-events/sample-space-diagrams
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 Sample Space Diagrams
Introducing Sample Space Diagrams is a chapter within Sample Space Diagrams: a coherent run of lessons that can be taught in one go.
Working with Sample Space Diagrams
Working with Sample Space Diagrams is a chapter within Sample Space Diagrams: a coherent run of lessons that can be taught in one go.
Sample Space Diagrams in Context
Sample Space Diagrams in Context is a chapter within Sample Space Diagrams: 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.
Identify sample space diagrams
RememberIdentify sample space diagrams 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 sample space diagrams independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain sample space diagrams
UnderstandExplain sample space diagrams 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 sample space diagrams independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind sample space diagrams using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate sample space diagrams
ApplyCalculate sample space diagrams 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 sample space diagrams independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare sample space diagrams
AnalyseCompare sample space diagrams 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 sample space diagrams independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind sample space diagrams 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.
- Basic ProbabilityStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush sample space diagrams 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 sample space diagrams 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-281.1
Mapped statement covering Sample Space Diagrams.
COL-542.2
Mapped statement covering Sample Space Diagrams.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Tree Diagrams
Tree Diagrams is a unit of teaching within Combined Events, usually two to four weeks of lessons with one assessment point.
Venn Diagrams
Venn Diagrams is a unit of teaching within Combined Events, usually two to four weeks of lessons with one assessment point.
Conditional Probability
Conditional Probability is a unit of teaching within Combined Events, usually two to four weeks of lessons with one assessment point.
Basic Probability
Basic Probability is a curriculum strand within Probability — 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
Sample Space Diagrams 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 lessonbasic probability
- 02Video explanationSample Space Diagrams 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 Sample Space Diagrams resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Sample Space Diagrams lessons
- Free Sample Space Diagrams lesson plans
- Free Sample Space Diagrams explanations
- Free Sample Space Diagrams worked examples
- Free Sample Space Diagrams real life examples
- Free Sample Space Diagrams common mistakes
- Free Sample Space Diagrams video lessons
- Free Sample Space Diagrams worksheets
- Free Sample Space Diagrams printable worksheets
- Free Sample Space Diagrams interactive worksheets
- Free Sample Space Diagrams homework worksheets
- Free Sample Space Diagrams revision worksheets
- Free Sample Space Diagrams word problems
- Free Sample Space Diagrams practice tests
- Free Sample Space Diagrams flashcards
- Free Sample Space Diagrams study notes
- Free Sample Space Diagrams revision notes
- Free Sample Space Diagrams cheat sheets
- Free Sample Space Diagrams formula sheets
- Free Sample Space Diagrams mind maps
- Free Sample Space Diagrams vocabulary lists
- Free Sample Space Diagrams quizzes
- Free Sample Space Diagrams timed quizzes
- Free Sample Space Diagrams adaptive quizzes
- Free Sample Space Diagrams mcqs
- Free Sample Space Diagrams true or false questions
- Free Sample Space Diagrams fill in the blanks
- Free Sample Space Diagrams matching exercises
- Free Sample Space Diagrams short questions
- Free Sample Space Diagrams long questions
- Free Sample Space Diagrams question banks
- Free Sample Space Diagrams exam questions
- Free Sample Space Diagrams past paper questions
- Free Sample Space Diagrams solved past papers
- Free Sample Space Diagrams mock exams
- Free Sample Space Diagrams activities
- Free Sample Space Diagrams stem activities
- Free Sample Space Diagrams experiments
- Free Sample Space Diagrams games
- Free Sample Space Diagrams projects
- Free Sample Space Diagrams case studies
- Free Sample Space Diagrams homework
- Free Sample Space Diagrams assignments
- Free Sample Space Diagrams reading comprehension
- Free Sample Space Diagrams writing prompts
- Free Sample Space Diagrams spelling practice
- Free Sample Space Diagrams grammar practice
- Free Sample Space Diagrams teacher guides
- Free Sample Space Diagrams parent guides
- Free Sample Space Diagrams ai tutor sessions
- Free Sample Space Diagrams practice sessions
- Free Sample Space Diagrams progress trackers
- Free Sample Space Diagrams printables
Connected resources
30 resource types are generated for Sample Space Diagrams 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 Sample Space Diagrams 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 Sample Space Diagrams?
- The graph lists Basic Probability as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Sample Space Diagrams 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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