Working with Integers
Working with Integers is a chapter within Integers: a coherent run of lessons that can be taught in one go.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Chapter
Depth 4 in the graph
programming/python/data-types/integers/working-with-integers
744
4 topics · 120 concepts · 600 micro-concepts
Topics
Every topic below is a full entity with its own skills, objectives, misconceptions and resource set.
Working with Integers Essentials
Working with Integers Essentials is a teachable topic within Working with Integers, broken into subtopics that each take roughly one lesson.
Working with Integers Techniques
Working with Integers Techniques is a teachable topic within Working with Integers, broken into subtopics that each take roughly one lesson.
Working with Integers Word Problems
Working with Integers Word Problems is a teachable topic within Working with Integers, broken into subtopics that each take roughly one lesson.
Working with Integers Common Errors
Working with Integers Common Errors is a teachable topic within Working with Integers, broken into subtopics that each take roughly one lesson.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Explain working with integers
UnderstandExplain working with integers 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 working with integers independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind working with integers using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate working with integers
ApplyCalculate working with integers 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 working with integers independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare working with integers
AnalyseCompare working with integers 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 working with integers independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind working with integers using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify working with integers
EvaluateJustify working with integers 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 working with integers 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.
- Introducing IntegersChapter
- VariablesStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners over-generalise a special case of working with integers to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Students treat working with integers 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.
COL-275.1
Mapped statement covering Working with Integers.
AQA-594.2
Mapped statement covering Working with Integers.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Integers in Context
Integers in Context is a chapter within Integers: a coherent run of lessons that can be taught in one go.
Floats
Floats is a unit of teaching within Data Types, usually two to four weeks of lessons with one assessment point.
Strings
Strings is a unit of teaching within Data Types, usually two to four weeks of lessons with one assessment point.
Booleans
Booleans is a unit of teaching within Data Types, usually two to four weeks of lessons with one assessment point.
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
Working with Integers in Grade 2, 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 lessonintroducing integers
- 02Video explanationWorking with Integers 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 Working with Integers resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Working with Integers lessons
- Free Working with Integers lesson plans
- Free Working with Integers explanations
- Free Working with Integers worked examples
- Free Working with Integers real life examples
- Free Working with Integers common mistakes
- Free Working with Integers video lessons
- Free Working with Integers worksheets
- Free Working with Integers printable worksheets
- Free Working with Integers interactive worksheets
- Free Working with Integers homework worksheets
- Free Working with Integers revision worksheets
- Free Working with Integers word problems
- Free Working with Integers practice tests
- Free Working with Integers flashcards
- Free Working with Integers study notes
- Free Working with Integers revision notes
- Free Working with Integers cheat sheets
- Free Working with Integers formula sheets
- Free Working with Integers mind maps
- Free Working with Integers vocabulary lists
- Free Working with Integers quizzes
- Free Working with Integers timed quizzes
- Free Working with Integers adaptive quizzes
- Free Working with Integers mcqs
- Free Working with Integers true or false questions
- Free Working with Integers fill in the blanks
- Free Working with Integers matching exercises
- Free Working with Integers short questions
- Free Working with Integers long questions
- Free Working with Integers question banks
- Free Working with Integers exam questions
- Free Working with Integers past paper questions
- Free Working with Integers solved past papers
- Free Working with Integers mock exams
- Free Working with Integers activities
- Free Working with Integers stem activities
- Free Working with Integers experiments
- Free Working with Integers games
- Free Working with Integers projects
- Free Working with Integers case studies
- Free Working with Integers homework
- Free Working with Integers assignments
- Free Working with Integers reading comprehension
- Free Working with Integers writing prompts
- Free Working with Integers spelling practice
- Free Working with Integers grammar practice
- Free Working with Integers teacher guides
- Free Working with Integers parent guides
- Free Working with Integers ai tutor sessions
- Free Working with Integers practice sessions
- Free Working with Integers progress trackers
- Free Working with Integers printables
Connected resources
30 resource types are generated for Working with Integers 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 Working with Integers in the knowledge graph?
- 0 domains, 0 strands, 0 units, 0 chapters, 4 topics, 20 subtopics, 120 concepts and 600 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Working with Integers?
- The graph lists Introducing Integers, Variables as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Working with Integers taught in?
- Typically Grade 2, Grade 3, Grade 4, though every resource can be regenerated for any grade in the platform.
Related resources
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