Equations
Equations 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/equations
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.
One-step Equations
One-step Equations is a unit of teaching within Equations, usually two to four weeks of lessons with one assessment point.
Two-step Equations
Two-step Equations is a unit of teaching within Equations, usually two to four weeks of lessons with one assessment point.
Equations with Brackets
Equations with Brackets is a unit of teaching within Equations, usually two to four weeks of lessons with one assessment point.
Equations with Unknowns Both Sides
Equations with Unknowns Both Sides is a unit of teaching within Equations, usually two to four weeks of lessons with one assessment point.
Forming Equations
Forming Equations is a unit of teaching within Equations, 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 equations
RememberIdentify equations 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 equations independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain equations
UnderstandExplain equations 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 equations independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind equations using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate equations
ApplyCalculate equations 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 equations independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare equations
AnalyseCompare equations 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 equations independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind equations 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.
- Algebraic ExpressionsStrand
- Number SenseDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Students treat equations 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 equations 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.
CBS-317.1
Mapped statement covering Equations.
COL-912.2
Mapped statement covering Equations.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
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.
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
Equations 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 lessonalgebraic expressions
- 02Video explanationEquations 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 Equations resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Equations lessons
- Free Equations lesson plans
- Free Equations explanations
- Free Equations worked examples
- Free Equations real life examples
- Free Equations common mistakes
- Free Equations video lessons
- Free Equations worksheets
- Free Equations printable worksheets
- Free Equations interactive worksheets
- Free Equations homework worksheets
- Free Equations revision worksheets
- Free Equations word problems
- Free Equations practice tests
- Free Equations flashcards
- Free Equations study notes
- Free Equations revision notes
- Free Equations cheat sheets
- Free Equations formula sheets
- Free Equations mind maps
- Free Equations vocabulary lists
- Free Equations quizzes
- Free Equations timed quizzes
- Free Equations adaptive quizzes
- Free Equations mcqs
- Free Equations true or false questions
- Free Equations fill in the blanks
- Free Equations matching exercises
- Free Equations short questions
- Free Equations long questions
- Free Equations question banks
- Free Equations exam questions
- Free Equations past paper questions
- Free Equations solved past papers
- Free Equations mock exams
- Free Equations activities
- Free Equations stem activities
- Free Equations experiments
- Free Equations games
- Free Equations projects
- Free Equations case studies
- Free Equations homework
- Free Equations assignments
- Free Equations reading comprehension
- Free Equations writing prompts
- Free Equations spelling practice
- Free Equations grammar practice
- Free Equations teacher guides
- Free Equations parent guides
- Free Equations ai tutor sessions
- Free Equations practice sessions
- Free Equations progress trackers
- Free Equations printables
Connected resources
30 resource types are generated for Equations 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 Equations 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 Equations?
- The graph lists Algebraic Expressions, Number Sense as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Equations 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 Equations one-to-one with a tutor who can see exactly where the gap is.
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