AI Constitution

Resources · Learning tool

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.

Sign in to track your progress and get personalized recommendations. You can browse freely below.

Knowledge-graph map

Computing
Mastered Ready to learn LockedHover a node for its description · click to open
Computers in Everyday L…Computers in Everyday Life — frontier Identifying computers in everyday life — not just laptops but phones, tablets, smart speakers, traffic lights, washing machines; what makes something a computerReal-World RobotsReal-World Robots — locked What a robot really is — not the sci-fi version; robots in factories, robot vacuum cleaners, robot arms in surgery; that robots follow instructions given by peopleSmart Versus Not-Smart…Smart Versus Not-Smart Devices — locked Sorting objects into 'smart' (can sense and respond) and 'not smart' (just sits there); a toaster vs a smart speaker; introduction to the idea that some machines can sense and respond to the worldStep-by-Step Instructio…Step-by-Step Instructions — locked Step-by-step instructions for everyday tasks (making a sandwich, brushing teeth); that if instructions are wrong or missing, things go wrong; computers follow instructions exactly
← Back

One Quantity as a Fraction

Mathematics · Ratio & Proportion · conceptual

Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context

Sign in to track this

What mastery looks like

  • Express 45 minutes as a fraction of 2 hours (= 3/8)
  • Express a larger quantity as a fraction of a smaller one and explain why the result exceeds 1
  • Simplify the resulting fraction and interpret its meaning in the original context

Check your understanding

If there are 15 boys and 20 girls in a class, can One Quantity as a Fraction express the number of boys as a fraction of the whole class and say whether that fraction is less than or greater than a half?

Prerequisites

Required first

Helpful

Unlocks (1 directly)