**CALCULATED FICTION**

**MATH WORKSHOP 8**

November 13, 2007

Work on this workshop in
groups of 3 or 4, constituted as you like.

We only have one hour for
this workshop, so please stay focused.

**I:
GOING OVER THE HOMEWORK **

Once again.

**II: NON-EUCLIDEAN
GEOMETRY**

* ACTIVITY*

1. Do
Excursion Exercises 1-6 from the Excursion on pages 542-544 of ME. Come get the necessary materials from
one of the grownups.

**III: EUCLIDEAN
GEOMETRY**

* ACTIVITY*

2. As
a group, try to find a proof of the Pythagorean Theorem. (*Hint*: focus on drawing useful diagrams.) If that doesnÕt pan out, come get some
diagrams from Brian/Steven/Taiyo that suggest proofs of the Pythagorean
Theorem; work with your group to understand the arguments suggested by those
diagrams. Write down at least one
of those proofs in your own words, presumably with accompanying diagram.

**IV:
EXAM PREP**

ThereÕs no time for this
in workshop today, but of course you should still prepare for tomorrowÕs math exam. I recommend, as before, that you help
each other study.

- The exam is cumulative, but it will focus primarily
on the material from weeks 5, 6, 7, and 8.
- Be sure you review what you missed on the
first exam.
- YouÕll need to carefully review the homework
assignments, workshops, reading in ME, and lectures, all for weeks 5-8 in
particular.
- YouÕre allowed to use one 3x5 notecard of
notes when you take the exam.

Between today and
tomorrow you can get help at the QuaSRC and from Brian via e-mail.

**THE
WRITE-UP**

No write-up is due this week on account of the math exam. Study study study! And of course your work from this workshop goes into your portfolio.