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 doesn’t 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

There’s no time for this in workshop today, but of course you should still prepare for tomorrow’s 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.
• You’ll need to carefully review the homework assignments, workshops, reading in ME, and lectures, all for weeks 5-8 in particular.
• You’re 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.