Vector Basics
Vector Basics is a curriculum strand within Vectors — a thread that runs across grades and deepens each year.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Strand
Depth 2 in the graph
math/vectors/vector-basics
8,944
48 topics · 1,440 concepts · 7,200 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Vector Notation
Vector Notation is a unit of teaching within Vector Basics, usually two to four weeks of lessons with one assessment point.
Adding Vectors
Adding Vectors is a unit of teaching within Vector Basics, usually two to four weeks of lessons with one assessment point.
Scalar Multiples
Scalar Multiples is a unit of teaching within Vector Basics, usually two to four weeks of lessons with one assessment point.
Magnitude of a Vector
Magnitude of a Vector is a unit of teaching within Vector Basics, usually two to four weeks of lessons with one assessment point.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify vector basics
RememberIdentify vector basics 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 vector basics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain vector basics
UnderstandExplain vector basics 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 vector basics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind vector basics using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate vector basics
ApplyCalculate vector basics 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 vector basics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare vector basics
AnalyseCompare vector basics 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 vector basics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind vector basics 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
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush vector basics 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 vector basics 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.
AQA-123.1
Mapped statement covering Vector Basics.
FBI-655.2
Mapped statement covering Vector Basics.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Vector Geometry
Vector Geometry is a curriculum strand within Vectors — a thread that runs across grades and deepens each year.
Number Sense
How quantity is represented, compared and manipulated before formal algebra.
Algebra
Algebra is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Geometry
Geometry is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
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
Vector Basics 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 explanationVector Basics 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 Vector Basics resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Vector Basics lessons
- Free Vector Basics lesson plans
- Free Vector Basics explanations
- Free Vector Basics worked examples
- Free Vector Basics real life examples
- Free Vector Basics common mistakes
- Free Vector Basics video lessons
- Free Vector Basics worksheets
- Free Vector Basics printable worksheets
- Free Vector Basics interactive worksheets
- Free Vector Basics homework worksheets
- Free Vector Basics revision worksheets
- Free Vector Basics word problems
- Free Vector Basics practice tests
- Free Vector Basics flashcards
- Free Vector Basics study notes
- Free Vector Basics revision notes
- Free Vector Basics cheat sheets
- Free Vector Basics formula sheets
- Free Vector Basics mind maps
- Free Vector Basics vocabulary lists
- Free Vector Basics quizzes
- Free Vector Basics timed quizzes
- Free Vector Basics adaptive quizzes
- Free Vector Basics mcqs
- Free Vector Basics true or false questions
- Free Vector Basics fill in the blanks
- Free Vector Basics matching exercises
- Free Vector Basics short questions
- Free Vector Basics long questions
- Free Vector Basics question banks
- Free Vector Basics exam questions
- Free Vector Basics past paper questions
- Free Vector Basics solved past papers
- Free Vector Basics mock exams
- Free Vector Basics activities
- Free Vector Basics stem activities
- Free Vector Basics experiments
- Free Vector Basics games
- Free Vector Basics projects
- Free Vector Basics case studies
- Free Vector Basics homework
- Free Vector Basics assignments
- Free Vector Basics reading comprehension
- Free Vector Basics writing prompts
- Free Vector Basics spelling practice
- Free Vector Basics grammar practice
- Free Vector Basics teacher guides
- Free Vector Basics parent guides
- Free Vector Basics ai tutor sessions
- Free Vector Basics practice sessions
- Free Vector Basics progress trackers
- Free Vector Basics printables
Connected resources
30 resource types are generated for Vector Basics 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 Vector Basics in the knowledge graph?
- 0 domains, 0 strands, 4 units, 12 chapters, 48 topics, 240 subtopics, 1,440 concepts and 7,200 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Vector Basics?
- The graph lists Calculus as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Vector Basics 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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