7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Completion of Math. A with a grade of "C" or better, or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Points, lines, angles, polygons, triangles, similarity, congruence, geometric proofs, area, volume, perimeter, the circle. Equivalent to one year of high school plane geometry.

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

Upon successful completion of the course, the student will be able to:
1. construct deductively valid proofs verifying mathematical statements concerning lines, angles, polygons and circles by using appropriate definitions, axioms or theorems, as necessary;
2. demonstrate use of construction tools, particularly a compass and straight edge, to create various geometric figures (square, equilateral triangle, perpendicular bisectors, etc);
3. verify congruency and similarity of two geometric figures by using congruence or similarity to solve for missing lengths;
4. calculate the perimeter, area, and volume of standard geometric figures;
5. evaluate the lengths of the sides of the 30°-60°-90° triangle and the 45°-45°-90° triangle; and
6. find the area and arc length of a sector of a circle of given radius.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Geometric Proofs and Logic
Direct Proof
Indirect Proof
II. Concepts of and Differences between
a. Definitions
b. Axioms
c. Postulates
d. Theorems
and the use of these in proofs.
III. Angles and Lines
Measurement, betweenness, construction
IV. Triangles
a. Sum of angles, area
b. Congruence, corresponding parts
c. Isosceles, equilateral
d. Similar
Ratio, proportion
e. Right
Pythagorean Theorem
Special right triangles - 30-60-90, 45-45-90
V. Constructions
VI. Quadrilaterals
a. Perimeter
b. Area
c. Construction
VII. Polygons
a. Perimeter
b. Area
c. Construction
VIII. Circles
a. Angles
b. Circumference
c. Area
d. Other related topics such as
arcs, sectors, chords, and tangents.

12. Typical Assignments: (List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

1. Read selected topics throughout the course from the textbook. For example, how geometric proofs should be written without leaving out logical steps.
2. Read supplementary handouts on topics such as various construction methods to demonstrate the Pythagorean Theorem or Greek history.

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

1. Complete homework problems from the textbook on topics throughout the course such as geometrical calculations involving triangles, area, and constructions.
2. Work in pairs or groups to hone skills in doing geometrical proofs, both direct and indirect.

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G