Chabot College
Fall 2010
Course Outline for Mathematics 57
PLANE GEOMETRY
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Catalog Description:
MTH 57 - Plane Geometry
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3.00 units
Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons and
circles.
Prerequisite: MTH 65 , MTH 65B or , MTH 65L (completed with a grade of "C" or higher) or an appropriate
skill level demonstrated through the Mathematics Assessment process.
Units
Contact Hours
Week
Term
3.00
Lecture
Laboratory
Clinical
Total
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3.00
3.00
0
0.00
3.00
52.50
0
0.00
52.50
Prerequisite Skills:
Before entry into this course, the student should be able to:
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write using set theory notation;
apply order of operations to simplify algebraic expressions;
solve linear equations in one variable;
solve and graph linear inequalities in one variable;
graph linear equations in two variables by various methods;
add, subtract, multiply, and divide polynomials;
apply the formula for squaring a binomial;
factor special products, general trinomials, and polynomials with four terms;
add, subtract, multiply, divide and simplify rational expressions;
apply algebraic methods to solve word problems;
solve quadratic equations by factoring, using the principle of square roots, and using the quadratic
formula;
solve systems of equations by graphing, substitution and elimination;
apply the properties of integral exponents;
solve formulas for any given variable;
solve rational equations;
find the slope of a line from the graph, from the definition and from the slope-intercept equation of
the line;
find the equation of a line using the point-slope equation;
convert between scientific notation and standard notation.
add, subtract, multiply, and divide polynomials;
apply the properties of integral exponents;
convert between scientific notation and standard notation;
apply the formula for squaring the binomial;
factor special products, general trinomials, and four terms;
add, subtract, multiply, divide and simplify rational expressions;
solve rational equations;
apply algebraic methods to solve word problems;
solve quadratic equations by factoring, using the principle of square roots and using the quadratic
formula
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Expected Outcomes for Students:
Upon completion of this course, the student should be able to:
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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;
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;
form a conclusion based on mathematical logic;
compute areas and volumes of geometric figures;
do constructions with straight edge and compass.
Course Content:
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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
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Methods of Presentation
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Lecture/Discussion
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
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Textbook (Typical):
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Exams/Tests
Quizzes
Home Work
Final Examination
Alexander/Koeberlein (2007). Elementary Geometry (4th/e). Houghton Mifflin Company.
Special Student Materials
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Ruler
Compass