Quadratics
Quadratics 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/quadratics
11,180
60 topics · 1,800 concepts · 9,000 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Expanding Double Brackets
Expanding Double Brackets is a unit of teaching within Quadratics, usually two to four weeks of lessons with one assessment point.
Factorising Quadratics
Factorising Quadratics is a unit of teaching within Quadratics, usually two to four weeks of lessons with one assessment point.
Completing the Square
Completing the Square is a unit of teaching within Quadratics, usually two to four weeks of lessons with one assessment point.
The Quadratic Formula
The Quadratic Formula is a unit of teaching within Quadratics, usually two to four weeks of lessons with one assessment point.
Quadratic Graphs
Quadratic Graphs is a unit of teaching within Quadratics, 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 quadratics
RememberIdentify quadratics 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 quadratics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain quadratics
UnderstandExplain quadratics 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 quadratics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind quadratics using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate quadratics
ApplyCalculate quadratics 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 quadratics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare quadratics
AnalyseCompare quadratics 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 quadratics independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind quadratics 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.
- SequencesStrand
- InequalitiesStrand
- Number SenseDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush quadratics 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 quadratics 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-497.1
Mapped statement covering Quadratics.
COL-782.2
Mapped statement covering Quadratics.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
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
Quadratics 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 lessonsequences
- 02Video explanationQuadratics 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 Quadratics resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Quadratics lessons
- Free Quadratics lesson plans
- Free Quadratics explanations
- Free Quadratics worked examples
- Free Quadratics real life examples
- Free Quadratics common mistakes
- Free Quadratics video lessons
- Free Quadratics worksheets
- Free Quadratics printable worksheets
- Free Quadratics interactive worksheets
- Free Quadratics homework worksheets
- Free Quadratics revision worksheets
- Free Quadratics word problems
- Free Quadratics practice tests
- Free Quadratics flashcards
- Free Quadratics study notes
- Free Quadratics revision notes
- Free Quadratics cheat sheets
- Free Quadratics formula sheets
- Free Quadratics mind maps
- Free Quadratics vocabulary lists
- Free Quadratics quizzes
- Free Quadratics timed quizzes
- Free Quadratics adaptive quizzes
- Free Quadratics mcqs
- Free Quadratics true or false questions
- Free Quadratics fill in the blanks
- Free Quadratics matching exercises
- Free Quadratics short questions
- Free Quadratics long questions
- Free Quadratics question banks
- Free Quadratics exam questions
- Free Quadratics past paper questions
- Free Quadratics solved past papers
- Free Quadratics mock exams
- Free Quadratics activities
- Free Quadratics stem activities
- Free Quadratics experiments
- Free Quadratics games
- Free Quadratics projects
- Free Quadratics case studies
- Free Quadratics homework
- Free Quadratics assignments
- Free Quadratics reading comprehension
- Free Quadratics writing prompts
- Free Quadratics spelling practice
- Free Quadratics grammar practice
- Free Quadratics teacher guides
- Free Quadratics parent guides
- Free Quadratics ai tutor sessions
- Free Quadratics practice sessions
- Free Quadratics progress trackers
- Free Quadratics printables
Connected resources
30 resource types are generated for Quadratics 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 Quadratics in the knowledge graph?
- 0 domains, 0 strands, 5 units, 15 chapters, 60 topics, 300 subtopics, 1,800 concepts and 9,000 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Quadratics?
- The graph lists Sequences, Inequalities, Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Quadratics 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 Quadratics one-to-one with a tutor who can see exactly where the gap is.
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