Integration
Integration is a curriculum strand within Calculus — 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/calculus/integration
6,708
36 topics · 1,080 concepts · 5,400 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Reverse Differentiation
Reverse Differentiation is a unit of teaching within Integration, usually two to four weeks of lessons with one assessment point.
Definite Integrals
Definite Integrals is a unit of teaching within Integration, usually two to four weeks of lessons with one assessment point.
Area Under a Curve
Area Under a Curve is a unit of teaching within Integration, 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 integration
UnderstandExplain integration 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 integration independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind integration using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate integration
ApplyCalculate integration 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 integration independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare integration
AnalyseCompare integration 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 integration independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind integration using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify integration
EvaluateJustify integration 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 integration 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.
- DifferentiationStrand
- TrigonometryDomain
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of integration to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat integration 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-999.1
Mapped statement covering Integration.
CBS-764.2
Mapped statement covering Integration.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Number Sense
How quantity is represented, compared and manipulated before formal algebra.
Algebra
Algebra is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
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.
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
Integration 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 lessondifferentiation
- 02Video explanationIntegration 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 Integration resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Integration lessons
- Free Integration lesson plans
- Free Integration explanations
- Free Integration worked examples
- Free Integration real life examples
- Free Integration common mistakes
- Free Integration video lessons
- Free Integration worksheets
- Free Integration printable worksheets
- Free Integration interactive worksheets
- Free Integration homework worksheets
- Free Integration revision worksheets
- Free Integration word problems
- Free Integration practice tests
- Free Integration flashcards
- Free Integration study notes
- Free Integration revision notes
- Free Integration cheat sheets
- Free Integration formula sheets
- Free Integration mind maps
- Free Integration vocabulary lists
- Free Integration quizzes
- Free Integration timed quizzes
- Free Integration adaptive quizzes
- Free Integration mcqs
- Free Integration true or false questions
- Free Integration fill in the blanks
- Free Integration matching exercises
- Free Integration short questions
- Free Integration long questions
- Free Integration question banks
- Free Integration exam questions
- Free Integration past paper questions
- Free Integration solved past papers
- Free Integration mock exams
- Free Integration activities
- Free Integration stem activities
- Free Integration experiments
- Free Integration games
- Free Integration projects
- Free Integration case studies
- Free Integration homework
- Free Integration assignments
- Free Integration reading comprehension
- Free Integration writing prompts
- Free Integration spelling practice
- Free Integration grammar practice
- Free Integration teacher guides
- Free Integration parent guides
- Free Integration ai tutor sessions
- Free Integration practice sessions
- Free Integration progress trackers
- Free Integration printables
Connected resources
30 resource types are generated for Integration 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 Integration in the knowledge graph?
- 0 domains, 0 strands, 3 units, 9 chapters, 36 topics, 180 subtopics, 1,080 concepts and 5,400 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Integration?
- The graph lists Differentiation, Trigonometry as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Integration 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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