Sequences
Sequences is a curriculum strand within Algebra — 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/algebra/sequences
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.
Term-to-term Rules
Term-to-term Rules is a unit of teaching within Sequences, usually two to four weeks of lessons with one assessment point.
nth Term of a Linear Sequence
nth Term of a Linear Sequence is a unit of teaching within Sequences, usually two to four weeks of lessons with one assessment point.
Quadratic Sequences
Quadratic Sequences is a unit of teaching within Sequences, usually two to four weeks of lessons with one assessment point.
Geometric Sequences
Geometric Sequences is a unit of teaching within Sequences, 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.
Explain sequences
UnderstandExplain sequences 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 sequences independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind sequences using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate sequences
ApplyCalculate sequences 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 sequences independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare sequences
AnalyseCompare sequences 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 sequences independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind sequences using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify sequences
EvaluateJustify sequences 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 sequences 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.
- InequalitiesStrand
- EquationsStrand
- Number SenseDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of sequences to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat sequences 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-943.1
Mapped statement covering Sequences.
IB-762.2
Mapped statement covering Sequences.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Quadratics
Quadratics is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Simultaneous Equations
Simultaneous Equations is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Functions
Functions is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Number Sense
How quantity is represented, compared and manipulated before formal algebra.
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
Sequences 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 lessoninequalities
- 02Video explanationSequences 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 Sequences resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Sequences lessons
- Free Sequences lesson plans
- Free Sequences explanations
- Free Sequences worked examples
- Free Sequences real life examples
- Free Sequences common mistakes
- Free Sequences video lessons
- Free Sequences worksheets
- Free Sequences printable worksheets
- Free Sequences interactive worksheets
- Free Sequences homework worksheets
- Free Sequences revision worksheets
- Free Sequences word problems
- Free Sequences practice tests
- Free Sequences flashcards
- Free Sequences study notes
- Free Sequences revision notes
- Free Sequences cheat sheets
- Free Sequences formula sheets
- Free Sequences mind maps
- Free Sequences vocabulary lists
- Free Sequences quizzes
- Free Sequences timed quizzes
- Free Sequences adaptive quizzes
- Free Sequences mcqs
- Free Sequences true or false questions
- Free Sequences fill in the blanks
- Free Sequences matching exercises
- Free Sequences short questions
- Free Sequences long questions
- Free Sequences question banks
- Free Sequences exam questions
- Free Sequences past paper questions
- Free Sequences solved past papers
- Free Sequences mock exams
- Free Sequences activities
- Free Sequences stem activities
- Free Sequences experiments
- Free Sequences games
- Free Sequences projects
- Free Sequences case studies
- Free Sequences homework
- Free Sequences assignments
- Free Sequences reading comprehension
- Free Sequences writing prompts
- Free Sequences spelling practice
- Free Sequences grammar practice
- Free Sequences teacher guides
- Free Sequences parent guides
- Free Sequences ai tutor sessions
- Free Sequences practice sessions
- Free Sequences progress trackers
- Free Sequences printables
Connected resources
30 resource types are generated for Sequences 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 Sequences 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 Sequences?
- The graph lists Inequalities, Equations, Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Sequences 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 Sequences one-to-one with a tutor who can see exactly where the gap is.
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