Math 104                          Mark→’s Guide To Life, Volume 4                   Spring 02005

Note: For best results, this Guide should be read in conjunction with Mark→’s Guide To Life, Vols. 1-3.

Section 10.1: Measurement systems–beginning with the question “What is ‘1'?”.Three systems of measurement: English, metric, and universal. Units of length, mass/weight, time, and temperature in these systems. Subdivisions and multiples of fundamental units–this is particularly important in the metric system with its collection of prefixes (p. 644).

Section 10.2: Area and perimeter–two-dimensional measurement. Subdivision of complicated regions into rectangles or triangles for easy area computation. Circumference and area of a circle.

Section 10.3: Volume and surface area in three dimensions. Units in the various systems. Volumes of prisms, cylinders, cones, and spheres.

Section 11.1: Congruence and constructions. Definition of congruent polygons. Congruence criteria for triangles: SSS, SAS, and ASA. Constructions using a compass and straightedge.

Section 11.2: Congruence mappings–these are the rigid transformations that preserve shape and size. Translations, rotations, and reflections (“glide reflections”, in the languages of the in-class activity). Compositions of mappings. Escher-type tessellations–how to construct these by deforming a triangle, square or hexagon.

Section 11.3: Similarity mappings–these preserve shape, but not size. Enlargements and reductions. Similar polygons. Similarity criteria for triangles: AA (why not AAA?) and a variant on SSS. Applications to indirect measurement.

The final exam will be comprehensive and is scheduled for Monday, May 2, 02005, from 8-10 A.M. Once again, this was not my idea.

You are reminded of this passage from the syllabus, which I believe speaks for itself:

Students must earn a score of 55% or higher on the final exam (83 or more points out of 150) in order to receive a passing grade. If you earn fewer than 83 points on the final, you will receive a 0.0 for the course, regardless of your earlier performance.