Course Outline for Mathematics 57
Plane Geometry

Effective: Fall 2020
SLO Rev: 12/06/2016

Catalog Description:

MTH 57 - Plane Geometry

3.00 Units

Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons and circles.
Prerequisite: MTH 65 or MTH 65B or MTH 65L or MTH 53 or an appropriate skill level demonstrated through the Mathematics Assessment process.
CB03: TOP Code 1701.00 - Mathematics, General
Course Grading: Optional
Type Units Inside of Class Hours Outside of Class Hours Total Student Learning Hours
Lecture 3.00 54.00 108.00 162.00
Total 3.00 54.00 108.00 162.00

Measurable Objectives:

Upon completion of this 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.

Course Content:

  1. Angles, congruent angles, angle bisectors
  2. Perpendiculars and parallels
  3. Distance between points on a plane
  4. Segments, congruent segments, midpoint of a segment
  5. Congruence of triangles, similarity of  triangles
  6. Properties of triangles, medians, altitudes, bisectors of angles
  7. Polygons
  8. Surface areas and volumes
  9. Inequalities
  10. Logic
  11. Circles
    1. Properties
    2. Area
    3. Chords, tangents, secants
  12. Constructions

Methods of Instruction:

  1. Lecture/Discussion
  2. Distance Education
  3. Problem sessions

Assignments and Methods of Evaluating Student Progress:

1. Typical Assignments
  1. 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. Prove that the angle sum of a triangle is 180 degrees.
  3. Given a pair of parallel lines crossed by a transversal, solve for the indicated angle using the information provided.
2. Methods of Evaluating Student Progress
  1. Exams/Tests
  2. Quizzes
  3. Home Work
  4. Final Examination
3. Student Learning Outcomes
Upon the completion of this course, the student should be able to:
  1. Critically analyze mathematical problems using a logical methodology.
  2. Communicate mathematical ideas, understand definitions, and interpret concepts.
  3. Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically.

Textbooks (Typical):

  1. Alexander (2019). Elementary Geometry for College Students (7th). Cengage.
Additional Materials:
  • Ruler
  • Compass

Abbreviated Class Schedule Description:

Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons and circles.
Prerequisite: MTH 65 or MTH 65B or MTH 65L or MTH 53 or an appropriate skill level demonstrated through the Mathematics Assessment process.

Discipline:
Mathematics*