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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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Ray Diagrams & Images

Science · Waves, Light & Sound · representational

Construct ray diagrams to show the formation of images by plane mirrors and converging lenses, identifying whether images are real or virtual, magnified or diminished, upright or inverted

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What mastery looks like

  • Draws an accurate ray diagram for a plane mirror showing a virtual, upright, same-size image
  • Draws a ray diagram for a converging lens to show image formation
  • Uses a ray diagram to determine whether the image is real or virtual and which side of the lens it forms
  • Applies ray diagram knowledge to explain how glasses, cameras, or projectors work

Check your understanding

If Ray Diagrams & Images was asked to show on a diagram where their reflection appears to be when they look in a mirror, could they draw the correct ray paths and explain whether the image is real or virtual — and where it actually appears to be located?

Prerequisites

Required first

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