Download MATH 139 Rev May 2012 - Glendale Community College

Degree Applicable
Glendale Community College
April 2005
Revised May 2012
COURSE OUTLINE
Mathematics 139
Mathematics for Elementary Teachers II
I.
Catalog Statement
Mathematics 139 is a continuation of Mathematics 138. It is a second-semester course designed for
prospective elementary teachers. Topics include statistics, probability, and geometry. Geometry topics
include geometric shapes, measurement, triangle congruence and similarity, coordinate plane, and
transformations.
Units – 3.0
Lecture Hours – 3.0
Prerequisite: Mathematics 138.
II.
Course Entry Expectations
Skill Level Ranges: Reading 6; Writing 6; Listening-Speaking 5; Math 5.
Prior to enrolling in this course, the student should be able to:
1. apply problem-solving techniques;
2. perform operations on sets and other number systems;
3. define the natural, whole, integer, rational, irrational, and real number systems;
4. identify properties and perform operations with these number systems;
5. use basic number theory concepts to solve related problems;
6. use ratio, proportion, and percents;
7. define a function and recognize various representations.
III.
Course Exit Standards
Upon successful completion of the required course work, the student will be able to:
1. organize, display, and analyze data;
2. compute the probability of an event;
3. identify different geometric shapes;
4. use properties of geometric shapes;
5. measure with different units;
6. make unit conversions;
7. compute areas and volumes;
8. identify congruent and similar triangles;
9. use similar triangles in problem solving;
10. make Euclidean constructions;
11. graph points, lines, and circles;
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12. perform transformations including translations, rotations, and reflections.
IV.
Course Content
A. Statistics
1. Organizing and displaying data
2. Measures of central tendency: mean, median, and mode
3. Variance and standard deviation
4. Normal distribution
5. Misleading graphs and bias
B. Probability
1. Properties
2. Probability of an event
3. Addition and multiplication rules
4. Combinations and permutations
5. Conditional probability and expected value
C. Geometry
1. Geometric shapes
2. Analyzing shapes
3. Properties of geometric shapes
4. Properties of lines and angles
5. Polygons and polyhedra
D. Measurement
1. Measurement with different units
2. Unit conversions
3. Pythagorean Theorem
4. Compute areas
5. Calculate volumes
E. Triangles
1. Congruent and similar triangles
2. Problem solving using similar triangles
3. Euclidean constructions
F. Geometry Using Coordinates
1. Distance and midpoint formulas
2. Solve a linear system of equations
3. Graph lines and conics.
4. Centroid and orthocenter of a triangle.
G. Transformations
1. Translation, rotation, and reflection
2. Isometries and similitudes
3. Congruent and similar shapes
4. Problem solving using transformations
V.
Methods of Presentation
The following instructional methodologies may be used in this course:
1. classroom lecture and discussion;
Total Contact Hours = 48
8 hours
7 hours
7 hours
7 hours
7 hours
6 hours
6 hours
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2. small group work;
3. gathering class data for statistical demonstrations.
VI.
Assignments and Methods of Evaluation
1.
2.
3.
4.
5.
VII.
3 to 5 regularly scheduled exams.
Quizzes.
Homework.
Writing assignments that may include journals, projects or papers.
Comprehensive final examination.
Textbook
Musser, G., W. Burger, and B. Peterson, Mathematics for Elementary Teachers. 9th edition.
Hoboken, NJ: John Wiley & Sons, Inc., 2011.
12th Grade Textbook Reading Level. ISBN: 978-0-470-53134-1.
VIII. Student Learning Outcomes
1. Students will be able to use elementary probability and statistics to solve problems and analyze data.
2. Students will be able to work with measurements using standard units from both the metric and
English systems and nonstandard units.
3. Students will be able to find areas, surface areas and volumes of geometric figures.
4. Students will be able to identify and verify similar and congruent triangles.
5. Students will be able to perform geometric constructions and find the circumcenter, incenter and
orthocenter of a triangle.
6. Students will be able to apply transformations including translation, rotation, reflection and size.