Honors Geometry/Introduction to Trigonometry

Course MH34|Mrs. Rita Talley

Juniors 1.0 Credit

Geometry is a critical component in the study of mathematics, as it requires students to utilize the concepts mastered in Algebra I into current coursework. An in-depth analysis of plane and solid geometry based on the fundamentals of Euclid are explored and examined through descriptions, definitions, postulates, theorems, and corollaries. These concepts are used to prove lines are parallel or perpendicular; to prove the congruence and similarity of various polygons; to solve right triangles using both Pythagorean Theorem and right triangle trigonometry; to investigate and solve for parts of a circle; and to find the area of polygons and volumes of solids. The effects of various transformations on polygons are discussed in relation to congruent and similar polygons. Students will need to think critically and logically when confronted with the various types of problems in this course. Skills mastered in Algebra I and II will be integrated into the coursework. Students will further develop critical thinking and reasoning skills by formulating original two-column proofs as well as in various problem-solving exercises using deductive and inductive reasoning. An introduction to the trigonometric ratios in terms of the sides of a right triangle, radian measure of an angle, and the basic trigonometric functions in the context of the unit circle is included in the course of study. Review work for the PSAT and SAT is included in this course.

Prerequisite: Students must have completed Honors Algebra I and Honors Algebra II with a minimum final grade of B or have completed Algebra I (MM14) and Algebra II with an A- and obtain approval from the math department.