august 23

Warm-up:

• 100 heavy guys want to cross a wide river. Two kids happened to be around with a boat which can carry no more that two kids or one adult. Can one get all the big guys across?
• Alice, Bob and Clara ate apples. Alice and Bob together ate 5 apples (we call it A+B=5). Further, A+C=3, B+C=6. How many apples ate each of them?

Same if A+B=3, B+C=2, C+A=2.

Graphs of functions: 

• Train moving from A to B...

Homework:

• Partition the cross with straight cuts into several parts from which make a square:

• Solve:
• A+B=5, B+C=5, C+A=4;
• A+B=5, B+C=5, C+A=6;
• what about A+B=5, B+C=5, C+A=5?
• A train goes with speed 100mph. 
• Plot where it will be in 1h, 2h, 3h, 4h. 
• What about 30min? 1h30min? Draw as many points on the graph as you can...
• What if the train makes a 1 hour long stop after two hours? Show where it will be after 1, 2, 3, 4 hours...