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ACM 21 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.

Credits

2

Prerequisite

Prerequisite: ACM 012

See Course Syllabus

Course Number and Title:

ACM 21 Geometry

Campus Location

  • Georgetown

Prerequisites

Prerequisite: ACM 012

Course Credits and Hours

2 credit(s)

2 lecture hours/week

0 lab hours/week

Course Description

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.

Additional Materials

Access to a computer, the Internet and TI-83 Graphing Calculator.

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Disclaimer

None

Core Course Performance Objectives (CCPOs)

  1. Classify and manipulate lines, angles, and figures in geometric equations. (CCC 2, 6)
  2. Use relationships involving circles to solve applications. (CCC 2, 6)
  3. Manipulate and solve triangles using properties of congruency and similarity. (CCC 2, 6)
  4. Apply geometric formulas to compute measures of two- and three-dimensional figures. (CCC 2, 6)
  5. Use direct and indirect proofs to establish geometric relationships. (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.

Measurable Performance Objectives (MPOs)

Upon completion of this course, the student will:

  1. Classify and manipulate lines, angles, and figures in geometric equations.
    1. Construct angles and calculate midpoints and distance of lines.
    2. Classify angles, triangles, and polygons.
    3. Calculate angle measurements of interior and exterior angles of polygons.
    4. Calculate slopes, and write equations of lines.
    5. Solve angle measures formed by a transversal and two parallel lines.
    6. Construct median, altitude, and angle bisections.
  2. Use relationships involving circles to solve applications.
    1. Construct and label parts and properties of circles.
    2. Write and solve an equation of a circle.
    3. Calculate measures of arcs, chords, tangents, and secants to circles.
  3. Manipulate and solve triangles using properties of congruency and similarity.
    1. Classify triangles as congruent or similar.
    2. Calculate measures using special properties of right triangles.
    3. Calculate measures using the properties of an isosceles triangle.
  4. Apply geometric formulas to compute measures of two- and three-dimensional figures
    1. Classify quadrilaterals and their special properties.
    2. Calculate areas of regular polygons.
    3. Manipulate figures using transformations and scale.
    4. Calculate perimeter, area, and volume of similar figures.
    5. Calculate and manipulate polygons using matrices.
  5. Use direct and indirect proofs to establish geometric relationships.
    1. Apply deductive reasoning to make predictions and conjectures.
    2. Complete geometric proofs using postulates and theorems.

Evaluation Criteria/Policies

The grade will be determined using the Delaware Tech grading system:

90-100 = A
80-89 = B
70-79 = C
0-69 = F
Students should refer to the Catalog/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.

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. Apply quantitative reasoning and/or scientific inquiry to solve practical problems.

Students in Need of Accommodations Due to a Disability

We value all individuals and provide an inclusive environment that fosters equity and student success. 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. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.

Minimum Technology Requirements

Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal