Wednesday, November 23, 2011

Nov 23rd - GESNERGuide to Solving Problems Elegantly

Weekend Homework
On the Area of a Circle Sheet do: #17, 18, 20, 21, 25, 26 (and other questions too if you want).

Overdue: GESNERGuide blue sheet and Bike Problem below.


Basic Rules for Gesner-ify your Math solutions are:
1.  READ the problem carefully (out loud if possible)
2. RECORD all information you might need
     ex: C = 2.3 m     1000 m = 1km
3.  DRAW a diagram if appropriate
4. WRITE OUT FORMULA(E) 
     ex: C = Π · d
5.  FILL IN information in the formula.  Include all units.
6.  USE TRIANGULAR FORM to show all steps
      ex: C = Π · d
               = 3.14 · 2.3m
               = 7.222m
7.   Write a SENTENCE about your answer if it was a word problem.  Draw a BOX around all other answers.


Problem:  Ms. Gesner's bike tire has a radius of 35cm.  
a) What is the circumference of her bike tire?
b) If she lives 1.2 kilometers from the school, how many times does her wheel turn on her way to school?
c) Mr. Wanie has a fancy cycling computer that allows you to make adjustments to the radius of your tire.  What factors might influence the exact radius of the outside of a bicycle tire?