Download 640109

Title: Geometry and Measurement for Elementary Teaching
Proposed Number: 01:640:109
Credits: 3
Effective: Fall 2011
Prerequisite: [Math 026 or Math 107 or placement into Math 111] and [Permission of Department]
Co-req.: none
Special Notation: Primarily for those intending to teach in grades K-8
Course description:
Math content course on geometry and measurement stressing depth of understanding needed
for effective teaching K-8. Justifying procedures and formulas. Multiple points of view in
explanations. Geometric objects in two and three dimensions. Transformations, symmetry,
congruences, similarity, scaling. Perimeter, area, volume. Error estimates in measurement.
Changing units.
Syllabus
Week
Topics
1
Introduction to geometric ideas; angles, circles, spheres
2
Triangles, polygons
3
Straightedge and compass; rigid motions
4
Rigid motions and symmetry; congruent triangles
5
Coordinate systems on lines and planes; similarity
6
Congruence vs. Similarity; review
7
Exam 1; area
8
Volume of boxes; measurement
9
Units, changing units; more basic measurement
10
Advanced measurement; Pythagorean theorem
11
Areas of triangles and polygons; areas of circles, areas of curvilinear
figures
12
Volumes of cylinders and pyramids; review
13
Exam 2; Perimeters
14
Perimeters; review