- Continue with the areas of the lattice polygons. Work on Pick's formula.
Reminders:
Pick's formula for the area of lattice polygons - polygons with vertices in the nodes of a lattice - is: Area=(number of nodes inside the polygon)+ (number of nodes on the boundary)/2 -1
Cavalieri principle asserts that the area of a figure - viewed as as stack of parallel intervals - does not change if one slides these intervals back and forth.
- Padlock puzzle
- Linguistics
- Work with compasses; measure distances
- Proportions:
- Split 9 apples so that A gets 2 times as much as B;
- split 8 pears so that A and C gets the same, B gets 2 times as much as A;...
Experiments
Laser- conical sections
Homework
- How to split 21 peaches between Anne, Amy and Aman so that Aman gets twice as many as Amy, but half as much as Anne?
- M. Argan takes three kinds of pills, one of each each day. He left for a week long travel with 7 pills of each kind. Unfortunately, in the box they all got mixed together, and they all look the same. How M. Argan can still make sure he takes one of each pill each day?
- Find the areas of each of these three figures:
No comments:
Post a Comment