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Education Concept Tracker

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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Knowledge-graph map

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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Proportion

Mathematics · Ratio & Proportion · conceptual

Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations

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What mastery looks like

  • Identify whether a real-world relationship is direct or inverse proportion and justify the choice
  • Set up and solve a direct-proportion equation (e.g. if 4 pens cost £6, find the cost of 10)
  • Sketch graphs showing direct proportion (straight line through origin) and inverse proportion (curve)

Check your understanding

Does Proportion understand the difference between quantities that grow together at the same rate (direct proportion) and ones where one goes up as the other goes down — like more workers meaning fewer days to finish a job (inverse proportion)?

Prerequisites

Required first

Helpful

Unlocks (1 directly)