MathsSeeing how numbers workSections▾

  1. Square roots

    01What is a square root?
  2. 02Perfect squares
  3. 03Heron's method
  4. 04Roots that never end

  5. Probability

    05What is probability?
  6. 06The law of large numbers
  7. 07Two dice
  8. 08Bayes' theorem
  9. 09The bell curve
  10. 10Three meanings of probability

Maths

Seeing how numbers work

Maths is easier when you can see it. This course turns two big ideas into shapes you can move: square roots, which are really about squares, and probability, which is really about counting.

Each section explains one idea in plain language, shows a worked example, then gives you an illustration to play with. Go in order: the square roots part feeds straight into the probability part.

Start with section 1 →

Sections

About 10 minutes each

  1. Square roots

    01What is a square root?From an area back to a side
  2. 02Perfect squaresWhy some roots are whole numbers
  3. 03Heron's methodSqueezing a rectangle into a square
  4. 04Roots that never endThe spiral of Theodorus

  5. Probability

    05What is probability?Counting the ways things can happen
  6. 06The law of large numbersWhy luck evens out
  7. 07Two diceWhy 7 is the most common sum
  8. 08Bayes' theoremWhat a positive test really means
  9. 09The bell curveOrder out of many random bounces
  10. 10Three meanings of probabilityCounting, frequency and belief