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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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Probability as a Fraction

Mathematics · Probability · representational

Describe the probability of simple equally-likely outcomes using unit fractions: the probability of rolling a 6 on a fair die is 1/6, flipping heads is 1/2, picking one specific colour from three equally represented colours is 1/3; place these fractional probabilities on a 0-to-1 probability scale

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What mastery looks like

  • State that the probability of rolling a 6 on a fair die is 1/6 and explain why
  • Express the probability of picking a red card from a standard deck as 26/52 or 1/2
  • Write the probability of a simple event as a fraction: favourable outcomes over total outcomes

Check your understanding

If Probability as a Fraction flips a fair coin, do they know the probability of getting heads is 1/2 — and can they express similar simple probabilities as fractions and place them on a 0-to-1 scale?

Prerequisites

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