Vectors
Vectors is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Domain
Depth 1 in the graph
math/vectors
15,654
84 topics · 2,520 concepts · 12,600 micro-concepts
Strands
Every strand 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.
Identify vectors
RememberIdentify vectors 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 vectors independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain vectors
UnderstandExplain vectors 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 vectors independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind vectors using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate vectors
ApplyCalculate vectors 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 vectors independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare vectors
AnalyseCompare vectors 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 vectors independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind vectors 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.
- CalculusDomain
- TrigonometryDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat vectors 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 vectors 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.
CAM-290.1
Mapped statement covering Vectors.
NAT-470.2
Mapped statement covering Vectors.
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.
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
Vectors 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 lessoncalculus
- 02Video explanationVectors 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 Vectors resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Vectors lessons
- Free Vectors lesson plans
- Free Vectors explanations
- Free Vectors worked examples
- Free Vectors real life examples
- Free Vectors common mistakes
- Free Vectors video lessons
- Free Vectors worksheets
- Free Vectors printable worksheets
- Free Vectors interactive worksheets
- Free Vectors homework worksheets
- Free Vectors revision worksheets
- Free Vectors word problems
- Free Vectors practice tests
- Free Vectors flashcards
- Free Vectors study notes
- Free Vectors revision notes
- Free Vectors cheat sheets
- Free Vectors formula sheets
- Free Vectors mind maps
- Free Vectors vocabulary lists
- Free Vectors quizzes
- Free Vectors timed quizzes
- Free Vectors adaptive quizzes
- Free Vectors mcqs
- Free Vectors true or false questions
- Free Vectors fill in the blanks
- Free Vectors matching exercises
- Free Vectors short questions
- Free Vectors long questions
- Free Vectors question banks
- Free Vectors exam questions
- Free Vectors past paper questions
- Free Vectors solved past papers
- Free Vectors mock exams
- Free Vectors activities
- Free Vectors stem activities
- Free Vectors experiments
- Free Vectors games
- Free Vectors projects
- Free Vectors case studies
- Free Vectors homework
- Free Vectors assignments
- Free Vectors reading comprehension
- Free Vectors writing prompts
- Free Vectors spelling practice
- Free Vectors grammar practice
- Free Vectors teacher guides
- Free Vectors parent guides
- Free Vectors ai tutor sessions
- Free Vectors practice sessions
- Free Vectors progress trackers
- Free Vectors printables
Connected resources
30 resource types are generated for Vectors 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 Vectors in the knowledge graph?
- 0 domains, 2 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 Vectors?
- The graph lists Calculus, Trigonometry as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Vectors 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 Vectors one-to-one with a tutor who can see exactly where the gap is.
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