CAP 015 - High School Geometry

Credits: 5
LEC hours per week: 5
High School Geometry exposes student to plane Euclidean geometry by using the concepts of congruence, similarity, and symmetry. Students will develop definitions and use technology to help with transformations and dilations to prove congruence and similarities of geometric shapes. Students build on prior knowledge of right triangles and be introduced to Trigonometry. This course will satisfy the Geometry requirement for HS+ credit. Course is cross listed with HSC015. Credit can only be earned for one of these courses: CAP 015 and HSC 015.
Course Outcomes:

Define angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line distance along a line, and distance around a circular arc.
Represent transformation in the plane using geometry software and given a rectangle, parallelogram, trapezoid, or regular polygon.
Describe rotations and reflections of geometric shapes.
Apply triangle congruence (ASA, SAS, and SSS) to show that two triangles are congruent.
Apply the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
Apply congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures.
Define trigonometric ratios and the Pythagorean Theorem to solve problems involving right triangles.
Apply volume formulas to solve geometric problems.

Course Topics:

Geometry Vocabulary
Translations, Reflections, Rotations, and Dilations of Geometric Shapes
Proving triangles congruent using theorems
Similarity rules for triangles
Pythagorean Theorem
Triangle congruence theorems
Trigonometric ratios
Area and Circumference of Circles
Area and Volume