Decimals
Decimals is a curriculum strand within Number Sense — 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/number-sense/decimals
17,888
96 topics · 2,880 concepts · 14,400 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Decimal Place Value
Decimal Place Value is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Reading Decimals
Reading Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Comparing Decimals
Comparing Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Rounding Decimals
Rounding Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Adding Decimals
Adding Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Multiplying Decimals
Multiplying Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Dividing Decimals
Dividing Decimals is a unit of teaching within Decimals, usually two to four weeks of lessons with one assessment point.
Recurring Decimals
Recurring Decimals is a unit of teaching within Decimals, 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 decimals
UnderstandExplain decimals 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 decimals independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind decimals using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate decimals
ApplyCalculate decimals 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 decimals independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare decimals
AnalyseCompare decimals 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 decimals independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind decimals using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify decimals
EvaluateJustify decimals 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 decimals 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.
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners apply the correct method to decimals but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Confident students rush decimals and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
NAT-889.1
Mapped statement covering Decimals.
IB-580.2
Mapped statement covering Decimals.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Percentages
Percentages is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Rational Numbers
Rational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Irrational Numbers
Irrational Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Real Numbers
Real Numbers is a curriculum strand within Number Sense — 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
Decimals 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 lessonfractions
- 02Video explanationDecimals 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 Decimals resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Decimals lessons
- Free Decimals lesson plans
- Free Decimals explanations
- Free Decimals worked examples
- Free Decimals real life examples
- Free Decimals common mistakes
- Free Decimals video lessons
- Free Decimals worksheets
- Free Decimals printable worksheets
- Free Decimals interactive worksheets
- Free Decimals homework worksheets
- Free Decimals revision worksheets
- Free Decimals word problems
- Free Decimals practice tests
- Free Decimals flashcards
- Free Decimals study notes
- Free Decimals revision notes
- Free Decimals cheat sheets
- Free Decimals formula sheets
- Free Decimals mind maps
- Free Decimals vocabulary lists
- Free Decimals quizzes
- Free Decimals timed quizzes
- Free Decimals adaptive quizzes
- Free Decimals mcqs
- Free Decimals true or false questions
- Free Decimals fill in the blanks
- Free Decimals matching exercises
- Free Decimals short questions
- Free Decimals long questions
- Free Decimals question banks
- Free Decimals exam questions
- Free Decimals past paper questions
- Free Decimals solved past papers
- Free Decimals mock exams
- Free Decimals activities
- Free Decimals stem activities
- Free Decimals experiments
- Free Decimals games
- Free Decimals projects
- Free Decimals case studies
- Free Decimals homework
- Free Decimals assignments
- Free Decimals reading comprehension
- Free Decimals writing prompts
- Free Decimals spelling practice
- Free Decimals grammar practice
- Free Decimals teacher guides
- Free Decimals parent guides
- Free Decimals ai tutor sessions
- Free Decimals practice sessions
- Free Decimals progress trackers
- Free Decimals printables
Connected resources
30 resource types are generated for Decimals 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 Decimals in the knowledge graph?
- 0 domains, 0 strands, 8 units, 24 chapters, 96 topics, 480 subtopics, 2,880 concepts and 14,400 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Decimals?
- The graph lists Fractions, Integers as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Decimals 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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