Multi-step Problems
Multi-step Problems is a unit of teaching within Problem Solving, 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/mathematical-reasoning/problem-solving/multi-step-problems
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 Multi-step Problems
Introducing Multi-step Problems is a chapter within Multi-step Problems: a coherent run of lessons that can be taught in one go.
Working with Multi-step Problems
Working with Multi-step Problems is a chapter within Multi-step Problems: a coherent run of lessons that can be taught in one go.
Multi-step Problems in Context
Multi-step Problems in Context is a chapter within Multi-step Problems: 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.
Identify multi-step problems
RememberIdentify multi-step problems 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 multi-step problems independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain multi-step problems
UnderstandExplain multi-step problems 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 multi-step problems independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind multi-step problems using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate multi-step problems
ApplyCalculate multi-step problems 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 multi-step problems independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare multi-step problems
AnalyseCompare multi-step problems 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 multi-step problems independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind multi-step problems 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.
- ProofStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush multi-step problems and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Learners over-generalise a special case of multi-step problems to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
CBS-961.1
Mapped statement covering Multi-step Problems.
COL-482.2
Mapped statement covering Multi-step Problems.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Modelling
Modelling is a unit of teaching within Problem Solving, usually two to four weeks of lessons with one assessment point.
Checking Reasonableness
Checking Reasonableness is a unit of teaching within Problem Solving, usually two to four weeks of lessons with one assessment point.
Proof
Proof is a curriculum strand within Mathematical Reasoning — 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
Multi-step Problems 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 lessonproof
- 02Video explanationMulti-step Problems 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 Multi-step Problems resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Multi-step Problems lessons
- Free Multi-step Problems lesson plans
- Free Multi-step Problems explanations
- Free Multi-step Problems worked examples
- Free Multi-step Problems real life examples
- Free Multi-step Problems common mistakes
- Free Multi-step Problems video lessons
- Free Multi-step Problems worksheets
- Free Multi-step Problems printable worksheets
- Free Multi-step Problems interactive worksheets
- Free Multi-step Problems homework worksheets
- Free Multi-step Problems revision worksheets
- Free Multi-step Problems word problems
- Free Multi-step Problems practice tests
- Free Multi-step Problems flashcards
- Free Multi-step Problems study notes
- Free Multi-step Problems revision notes
- Free Multi-step Problems cheat sheets
- Free Multi-step Problems formula sheets
- Free Multi-step Problems mind maps
- Free Multi-step Problems vocabulary lists
- Free Multi-step Problems quizzes
- Free Multi-step Problems timed quizzes
- Free Multi-step Problems adaptive quizzes
- Free Multi-step Problems mcqs
- Free Multi-step Problems true or false questions
- Free Multi-step Problems fill in the blanks
- Free Multi-step Problems matching exercises
- Free Multi-step Problems short questions
- Free Multi-step Problems long questions
- Free Multi-step Problems question banks
- Free Multi-step Problems exam questions
- Free Multi-step Problems past paper questions
- Free Multi-step Problems solved past papers
- Free Multi-step Problems mock exams
- Free Multi-step Problems activities
- Free Multi-step Problems stem activities
- Free Multi-step Problems experiments
- Free Multi-step Problems games
- Free Multi-step Problems projects
- Free Multi-step Problems case studies
- Free Multi-step Problems homework
- Free Multi-step Problems assignments
- Free Multi-step Problems reading comprehension
- Free Multi-step Problems writing prompts
- Free Multi-step Problems spelling practice
- Free Multi-step Problems grammar practice
- Free Multi-step Problems teacher guides
- Free Multi-step Problems parent guides
- Free Multi-step Problems ai tutor sessions
- Free Multi-step Problems practice sessions
- Free Multi-step Problems progress trackers
- Free Multi-step Problems printables
Connected resources
30 resource types are generated for Multi-step Problems 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 Multi-step Problems 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 Multi-step Problems?
- The graph lists Proof as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Multi-step Problems 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 Multi-step Problems one-to-one with a tutor who can see exactly where the gap is.
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