Chabot College
Fall 2002
Replaced Fall 2010
Course Outline for Mathematics 57
PLANE GEOMETRY
Catalog Description:
57 – Plane Geometry
3 units
Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons
and circles. Prerequisite: Mathematics 65, Mathematics 65B or Mathematics 65L (all completed
with a grade of C or higher) or an appropriate skill level demonstrated through the Mathematics
Assessment process. 3 hours.
[Typical contact hours: 52.5]
Prerequisite Skills:
Before entering the course the student should be able to:
1. write set theory notation;
2. apply order of operations to simplify algebraic expressions;
3. solve linear equations in one variable;
4. solve and graph linear inequalities in one variable;
5. graph linear equations in two variables by various methods;
6. add, subtract, multiply, and divide polynomials;
7. apply the formula for squaring a binomial;
8. factor special products, general trinomials, and polynomials with four terms;
9. add, subtract, multiply, divide and simplify rational expressions;
10. apply algebraic methods to solve word problems;
11. solve quadratic equations by factoring, using the principle of square roots, and using the
quadratic formula;
12. solve systems of equations by graphing, substitution and elimination;
13. apply the properties of integral exponents;
14. solve formulas for any given variable;
15. solve rational equations;
16. find the slope of a line from the graph, from the definition and from the slope-intercept equation of
the line;
17. find the equation of a line using the point-slope equation;
18. convert between scientific notation and standard notation.
Expected Outcome for Students:
Upon completion of the course the student should be able to:
1. define and/or illustrate:
a. segment
b. ray
c. angle
d. distance between points on a line
e. perpendicular and parallel lines
f. midpoint of a segment;
2. demonstrate:
a. the elements of a formal proof
b. the ability to utilize (1) above in the solution of problem material
c. geometric inequalities
d. the relation of arcs and angles formed by chords, secants and tangents to circles through
proofs and problems
e. the relation of circles and regular polygons, both inscribing and circumscribing;
3. form a conclusion based on mathematical logic;
4. compute areas and volumes of geometric figures;
5. do constructions with straight edge and compass.
Chabot College
Course Outline for Mathematics 57
Fall 2002
Page 2
Course Content:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Angles, congruent angles, angle bisectors
Perpendiculars and parallels
Distance between points on a plane
Segments, congruent segments, midpoint of a segment
Congruence of triangles, similarity of triangles
Properties of triangles, medians, altitudes, bisectors of angles
Polygons
Surface areas and volumes
Inequalities
Logic
Circles
a. Properties
b. Area
c. Chords, tangents, secants
12. Constructions
Methods of Presentation:
1. Lectures
2. Group discussion
3. Problem sessions
Assignments and Methods of Evaluating Student Progress:
1. Typical Assignments
a. Page 29 Do 1-12 all, 13- 29 odds, 31-34 all, 35, 37, 40, 41, 43, 45, 47-50 all, 51, 55, 61,
62, 63, 64
2. Methods of Evaluating Student Progress
a. Midterms
b. Quizzes
c. Homework
d. Final examination
Textbook(s) Typical:
Elementary Geometry, Alexander/Koeberlein, Houghton Mifflin Company, 1999
Special Student Materials:
Ruler and compass
C. Wieser
Curriculum/math/57
Hps
Css revised: 092000
Css revised: 05/05/01
Math 57.091501.rev1
MATH 57 Outline Fall 2002