421 Introduction to Geometry
2 semesters, 1 credit
Open to sophomores and juniors
Prerequisites: 410 Algebra I and/or teacher approval
This course introduces students to basic geometric principles. Students will learn how various geometric shapes relate to our world. Topics include polygons and their properties, areas, perimeters, volume, surface areas, triangles, parallel lines, transformations, rig HT triangle trigonometry and Pythagorean Theorem. This course may not meet the mathematics requirement for admission to some four year colleges. A TI-84 graphing calculator is required for this class.
By the completion of this course, students will be able to…
- Correctly use the symbols, definitions, properties, postulates, and theorems of geometry in proofs and application problems.
- Apply the geometric concepts of congruence, similarity, parallelism, and equality to application problems.
- Demonstrate the use of the Pythagorean theorem in application problems.
- Use ratios to solve problems involving trigonometric functions.
- Calculate areas, perimeters, surface areas, and volumes of polygons, prisms, cylinders, and circles.
By the completion of this course, students will know…
- Basic defined and undefined terms such as distance, angles, congruent segments, congruent angles, types of triangles, conditional statements, postulates, and theorems
- The principles of parallel lines and planes, perpendicular lines, skew lines, angles formed by two lines cut by a transversal, sum of angles in a triangle, exterior angle of triangle properties, types of polygons, and the sum of interior and exterior angles of polygon
- The principles of congruent triangles, medians, triangle centers, altitudes, angle, and segment bisectors in triangles
- The purpose of ratios, proportions, similar polygons, and applications involving similar triangles
- Properties of right triangles, special right triangles, basic trigonometric ratios, and applications involving angles of elevation and depression
- Circle vocabulary and properties of angles and arcs in a circle
- Area and perimeter of polygons and circles, surface area, and volume of prisms
This course last updated on January 27, 2021, by the Math Department.