Algebra
Algebra 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/algebra
67,087
360 topics · 10,800 concepts · 54,000 micro-concepts
Strands
Every strand below is a full entity with its own skills, objectives, misconceptions and resource set.
Algebraic Expressions
Algebraic Expressions is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Equations
Equations is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Inequalities
Inequalities is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
Sequences
Sequences is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
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.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify algebra
RememberIdentify algebra 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 algebra independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain algebra
UnderstandExplain algebra 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 algebra independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind algebra using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate algebra
ApplyCalculate algebra 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 algebra independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare algebra
AnalyseCompare algebra 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 algebra independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind algebra 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.
- Number SenseDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat algebra 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 algebra 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-718.1
Mapped statement covering Algebra.
NAT-830.2
Mapped statement covering Algebra.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Geometry
Geometry is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Measurement
Measurement is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Statistics
Statistics is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Probability
Probability 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
Algebra 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 lessonnumber sense
- 02Video explanationAlgebra 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 Algebra resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Algebra lessons
- Free Algebra lesson plans
- Free Algebra explanations
- Free Algebra worked examples
- Free Algebra real life examples
- Free Algebra common mistakes
- Free Algebra video lessons
- Free Algebra worksheets
- Free Algebra printable worksheets
- Free Algebra interactive worksheets
- Free Algebra homework worksheets
- Free Algebra revision worksheets
- Free Algebra word problems
- Free Algebra practice tests
- Free Algebra flashcards
- Free Algebra study notes
- Free Algebra revision notes
- Free Algebra cheat sheets
- Free Algebra formula sheets
- Free Algebra mind maps
- Free Algebra vocabulary lists
- Free Algebra quizzes
- Free Algebra timed quizzes
- Free Algebra adaptive quizzes
- Free Algebra mcqs
- Free Algebra true or false questions
- Free Algebra fill in the blanks
- Free Algebra matching exercises
- Free Algebra short questions
- Free Algebra long questions
- Free Algebra question banks
- Free Algebra exam questions
- Free Algebra past paper questions
- Free Algebra solved past papers
- Free Algebra mock exams
- Free Algebra activities
- Free Algebra stem activities
- Free Algebra experiments
- Free Algebra games
- Free Algebra projects
- Free Algebra case studies
- Free Algebra homework
- Free Algebra assignments
- Free Algebra reading comprehension
- Free Algebra writing prompts
- Free Algebra spelling practice
- Free Algebra grammar practice
- Free Algebra teacher guides
- Free Algebra parent guides
- Free Algebra ai tutor sessions
- Free Algebra practice sessions
- Free Algebra progress trackers
- Free Algebra printables
Connected resources
30 resource types are generated for Algebra 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 Algebra in the knowledge graph?
- 0 domains, 7 strands, 30 units, 90 chapters, 360 topics, 1,800 subtopics, 10,800 concepts and 54,000 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Algebra?
- The graph lists Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Algebra 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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