Warm up

Look at these playing cards:

http://polypad.org/qewkMjEOFIdpvA

  1. Do you notice any particular pattern about the cards?
  2. What is the total of
  1. Have you noticed something special? Is there a link with the next card?

Main activity

Look at these groups of four playing cards:

http://polypad.org/MbPv4RpgKsA2HA

  1. Count the number of shapes in all these groups of four cards.
  2. What number of shapes can we get with such cards?
  3. Could you create a shortcut to write the numbers we can get like a code? Complete the following table:

http://polypad.org/EquFmsdwokYEJA

  1. What is the biggest number we can get with four cards?
  2. with five cards?

Binary demo - Polypad - Mathigon

You’ve just learned how to write integers in base 2 (by adding the powers of 2)!