El Camino College - Division of Mathematical Sciences

Math 111
Mathematics for Elementary School Teachers - Geometry
3 units; 3 hours lecture

Catalog Description Course Objectives and Methods of Evaluation
Outline of Subject Matter Planned Instructional Activities

Grading Method: Letter

Associate Degree Credit --- Transfers to CSU (Transfer to UC is Pending)

Prerequisite: Mathematics 60 with a minimum grade of C or equivalent; Mathematics 70 with a minimum grade of C or equivalent.

Catalog Description:
This course is designed for preservice elementary school teachers. The course will examine four content areas: Geometry )plane, solid and coordinate geometry, congruence, similarity, and tessellations); Measurement and Estimation (units of length, area and volume); Statistics (graphs, measures of central tendency, normal distribution); Probability (single and multistage events, odds and expected values).
Note: Mathematics 111 was formerly Mathematics 39.

 Course Objectives and Methods of Evaluation:

  1. Course objectives (list the major objectives stated as student outcomes in behaviorally measurable terms.)
    1.  Draw and interpret line graphs, histograms, bar graphs, circle graphs, stem and leaf plots, scatter plots, and box and whisker plots.
    2. Compute and interpret mean, median, mode, variance, and standard deviation.
    3. Computer the normal distribution of data.
    4. Find the probability of an event and the odds and expected values.
    5. Determine linear, area, and volume in English and metric measurements.
    6. Graph functions and conics.
    7. Analyze and recognize attributes of plane and solid geometric figures.
    8. Solve problems dealing with congruence and similarity of geometric figures.
    9. Create tesselations in the plane.
    10. Solve a variety of application problems.
    11. Explain the connection between algebra, geometry and statistics.
  1. Methods of Evaluation - Associate Degree Credit Course
    1. Substantial writing assignments, including:
      1. Written homework
      2. Journal
    2. Substantial writing assignments are inappropriate for this degree applicable course because:
      1. The course is primarily computational in nature
      2. The course primarily involves skill demonstrations or problem solving.
    3. Computational or non-computational problem-solving demonstrations, including:
      1. Exam
      2. Quizzes
      3. Homework problems

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Outline of Subject Matter
 

Approximate Time

Major Topic

30 hours

I. Geometry

  1. Definitions, properties and relationships of point, line and plane
  2. Angles: types, measurement, dihedral
  3. Polygons and other plan figures: convex, nonconvex, regular, classification of polygons by the number of sides, circles
  4. Three dimensional figures: definitions and attributes of polyhedra, prisms, pyramids, cones and cylinders
  5. Similar and congruent figures: definitions and attributes
  6. Motion geometry: translations, rotations, reflections, and symmetry
  7. Tessellations of geometric figures in the plane
  8. Connections between geometry and algebra topics

6 hours

II. Measurement and Estimation

  1. Length, area, surface area, and volume of geometric figures

9 hours

III. Statistics

  1. Graph and plot: line graphs, stem and leaf plots, bar graph, histogram, box and whisker plots, and scatterplots.
  2. Measures of central tendency: mean, mode, median, variance, standard deviation
  3. Normal distribution: properties and graph
  4. Connections between algebra, geometry and statistics topics

6 hours

IV. Probability

  1. Probability and properties of single and multistage events.
  2. Probability of equally likely and mutually exclusive events.
  3. Odds and expected values

  3 hours

Examinations

Total:

54 Hours

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Planned Instructional Activities:

Lecture, cooperative learning group activities, discussion sessions, individual and group presentations.

Entrance Skills and Knowledge:

List the required skills and/or knowledge without which a student would be highly unlikely to receive a grade of A, B, C, or Credit (or for Health and Safety, would endanger self or others) in the Target Course.

  1. Solve problems using the Pythagorean Theorem.
  2. Knowledge of proofs of the Pythagorean Theorem.
  3. Graph algebraic functions at the Intermediate Algebra level.
  4. Solve proportions that are in the form of complex fractions.
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Source of information: Course Outline of Record dated 01/09/01


 Last Updated On: 4/20/06