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May 30, 2023
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AHS 0374D - Informal Geometry, Part A (Face-to-Face) The student will be able to experiment with transformations in the plane, understand congruence in terms of rigid motions, and prove geometric theorems and make geometric constructions. The student will understand similarity in terms of similarity transformations, prove theorems involving similarity, define trigonometric ratios and solve problems involving right triangles, apply trigonometry to general triangles understand and apply theorems about circles and find arc lengths and areas of sectors of circles. The student will be able to translate between the geometric description and the equation for a conic section, use coordinates to prove simple geometric theorems algebraically, explain volume formulas and use them to solve problems, visualize relationships between two-dimensional and three-dimensional objects, and apply geometric concepts in modeling situations. Students explore more complex geometric situations and deepen their explanations of geometric relationships.
This course is a required course designed to help students formalize their geometry experiences from elementary and middle school using more precise definitions and developing careful proofs. Students will utilize algebraic reasoning skills to make connections between numerical coordinates and geometric points to allow methods from algebra to be applied to geometry and vice versa. This course also serves as a foundation for further trigonometric studies. Important differences exist between this Geometry course and the historical approach taken in Geometry classes. For example, transformations are emphasized early in this course. Close attention should be paid to the introductory content for the Geometry conceptual category found in the high school standards.
Prerequisites: None
Corequisites: AHS 0374E
Credit Hours: 0.25
Contact Hours: 32
Conditions: Face-to-Face.
Degrees Offered: None
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