Solving Linear Inequalities
Solving Linear Inequalities is a unit of teaching within Inequalities, usually two to four weeks of lessons with one assessment point.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Unit
Depth 3 in the graph
math/algebra/inequalities/solving-linear-inequalities
2,235
12 topics · 360 concepts · 1,800 micro-concepts
Chapters
Every chapter below is a full entity with its own skills, objectives, misconceptions and resource set.
Introducing Solving Linear Inequalities
Introducing Solving Linear Inequalities is a chapter within Solving Linear Inequalities: a coherent run of lessons that can be taught in one go.
Working with Solving Linear Inequalities
Working with Solving Linear Inequalities is a chapter within Solving Linear Inequalities: a coherent run of lessons that can be taught in one go.
Solving Linear Inequalities in Context
Solving Linear Inequalities in Context is a chapter within Solving Linear Inequalities: a coherent run of lessons that can be taught in one go.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Explain solving linear inequalities
UnderstandExplain solving linear inequalities 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 solving linear inequalities independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind solving linear inequalities using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate solving linear inequalities
ApplyCalculate solving linear inequalities 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 solving linear inequalities independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare solving linear inequalities
AnalyseCompare solving linear inequalities 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 solving linear inequalities independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind solving linear inequalities using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify solving linear inequalities
EvaluateJustify solving linear inequalities 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 solving linear inequalities 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.
- Inequality NotationUnit
- EquationsStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of solving linear inequalities to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat solving linear inequalities 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.
EDE-975.1
Mapped statement covering Solving Linear Inequalities.
CBS-362.2
Mapped statement covering Solving Linear Inequalities.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Inequalities on a Number Line
Inequalities on a Number Line is a unit of teaching within Inequalities, usually two to four weeks of lessons with one assessment point.
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.
Sequences
Sequences is a curriculum strand within Algebra — a thread that runs across grades and deepens each year.
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
Solving Linear Inequalities 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 lessoninequality notation
- 02Video explanationSolving Linear Inequalities 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 Solving Linear Inequalities resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Solving Linear Inequalities lessons
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Connected resources
30 resource types are generated for Solving Linear Inequalities 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 Solving Linear Inequalities in the knowledge graph?
- 0 domains, 0 strands, 0 units, 3 chapters, 12 topics, 60 subtopics, 360 concepts and 1,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Solving Linear Inequalities?
- The graph lists Inequality Notation, Equations as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Solving Linear Inequalities 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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