oct 10

• Continue with the areas of the lattice polygons: introducing half-integer areas. Are integers and half-integers all what we can encounter?
• We'll do a few more tree-climbing caterpillars... Where are the leaves hanging?
• Four German phrases and their translations are given (in a wrong order):

Er liest die Nachrichten     He reads a newspaper

Sie liest eine Zeitung       She eats a sandwich

Sie isst ein Butterbrot      He reads the news

Er liest eine Zeitung        She reads a newspaper

   Find which sentence translates which, and translate into German: Peter eats a sandwich.

• Proportions:
• More pizza: split it into four parts, give three to Alice, Bob and Clara, and continue: split the remaining piece into 4 parts etc. How much each is getting?

Experiments

• 2D version of Chasles theorem using optical illusions...

Homework

• Cut and fold from a single piece of paper (no glueing!):

• Four German phrases and their translations are given (in a wrong order):
Peter fährt sein Fahrrad    Lisa sees her brother
Lisa sieht ihr Bruder       Lisa likes her bike
Peter sieht sein Fahrrad    Peter rides his bike
Lisa mag ihr Fahrrad        Peter sees his bike

Find which sentence translates which, and translate into German: 
She sees her brother.




• Find areas of these polygons:
  




• Caterpillar crawls around the tree. Show the graph of his height, and show where he gets some leaves to munch on: