Course Number and Title: ACM 021 Geometry
This course focuses on an in-depth analysis of plane, solid and coordinate geometry, including postulates and definitions, development of deductive reasoning through direct and indirect proofs, geometric inequalities, perpendicularity, parallelism, congruence, similarity, circles, constructions, polygons and solids.
Access to a computer, the Internet and TI-83 Graphing Calculator.
- Identify and manipulate lines, angles, and figures in geometric equations. (CCC 2, 6)
- Find equations of and solve problems involving circles. (CCC 2, 6)
- Manipulate and solve triangles by defining all sides and angles. (CCC 2, 6)
- Find lengths and measurements algebraically using postulates and theorems of polygons. (CCC 2, 6)
- Use appropriate theorems to solve geometric proofs. (CCC 2, 6)
See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.
Upon completion of this course, the student will:
- Identify and manipulate lines, angles, and figures in geometric equations.
- Create angles and define midpoints and distance.
- Identify angles, triangles, and polygons.
- Find angle measurements of interior and exterior angles of polygons.
- Identify and solve midpoints, slopes, and perpendicular bisectors.
- Understand parallel lines and angles formed with a transversal.
- Apply median, altitude, and angle bisections.
- Find equations of and solve problems involving circles.
- Understand and label parts and properties of circles.
- Solve an equation of a circle.
- Solve for measures of arcs, chords, tangents, and secants to circles.
- Manipulate and solve triangles by defining all sides and angles.
- Determine how and when triangles are congruent.
- Understand the special properties of right triangles.
- Determine how and when triangles are similar.
- Understand and apply the properties of an isosceles triangle.
- Find lengths and measurements algebraically using postulates and theorems of polygons.
- Identify quadrilaterals and their special properties.
- Find areas of regular polygons.
- Use transformations and scale.
- Use ratios and proportions to find perimeter, area, and volume of similar figures.
- Represent and manipulate polygons using matrices.
- Use appropriate theorems to solve geometric proofs.
- Use patterns and make predictions and conjectures.
- Complete geometric proofs using postulates and theorems.
Students will demonstrate proficiency on all Core Course Performance Objectives at least to the 75 percent level to successfully complete the course. The grade will be determined using the Academic Challenge Grading System:
Students should refer to the Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.
- Apply clear and effective communication skills.
- Use critical thinking to solve problems.
- Collaborate to achieve a common goal.
- Demonstrate professional and ethical conduct.
- Use information literacy for effective vocational and/or academic research.
- Apply quantitative reasoning and/or scientific inquiry to solve practical problems.
The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. A listing of campus Disabilities Support Counselors and contact information can be found at the disabilities services web page or visit the campus Advising Center.