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A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Life Skills
Mastered Ready to learn LockedHover a node for its description · click to open
Buyers & SellersBuyers & Sellers — locked When someone makes or has something, they can sell it; when someone wants something, they can buy it; introduction to the concept of exchange and transactionsGoods & ServicesGoods & Services — frontier Some people make things (goods) and some people do things for others (services); recognising both in everyday life and understanding that both have valueMaking Something to SellMaking Something to Sell — locked The experience of creating a product to sell — a craft, a drawing, baked goods; what makes something worth buying; pride in making something others wantTeamwork in BusinessTeamwork in Business — frontier Most businesses need more than one person; working together, dividing tasks, and using different people's strengths; the value of teamwork in businessScaling UpScaling Up — locked What happens when a small business grows; making more products, hiring people, reaching more customers; the challenges and opportunities of scalingSupply ChainsSupply Chains — locked Where products come from before they reach the customer; raw materials, making, transporting, and selling; the journey of a product from start to finishBuying ThingsBuying Things — locked How buying and selling works: prices, paying for items, receiving change; the basic transaction process in shops and marketsCoins & NotesCoins & Notes — locked Recognising common coins and notes, knowing their values, and understanding that different combinations can make the same amountJobs People DoJobs People Do — frontier Different kinds of work people do; that people earn money by working; how jobs help the community; linking personal interests to possible jobsNeeds & WantsNeeds & Wants — locked The difference between things we need (food, shelter, clothing) and things we want (toys, treats); that we sometimes have to choose because money is limitedSaving MoneySaving Money — locked Why people save money; piggy banks and saving jars; setting a savings goal; the idea that not spending now means having more laterWhat Money IsWhat Money Is — frontier What money is and why we use it; that money is exchanged for goods and services; brief history from barter to coins to digital paymentsEarning MoneyEarning Money — locked Ways that children and adults earn money; the connection between work, skills and pay; that harder or more skilled work often pays moreHow the Economy WorksHow the Economy Works — locked What an economy is; producers and consumers; supply and demand; why prices change; the basics of how markets work
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Justifying mathematical reasoning (age 8+)

Mathematics · Mathematical Thinking · meta

Construct and present multi-step mathematical arguments; critique the reasoning of others and explain clearly why a method works or fails

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What mastery looks like

  • Explain why 1/3 > 1/5 using the idea that more parts means smaller pieces
  • Find and explain an error in a peer's column subtraction with exchanges
  • Present a chain of reasoning: since 6×8=48 and 6×2=12, then 6×10=60 so 6×8=60−12=48

Check your understanding

If a classmate claims "you can't multiply a fraction and get a bigger answer", can Justifying mathematical reasoning (age 8+) think through whether that's always true — and give an example to support or challenge the claim?

Prerequisites

Required first

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