Course Overview

Trigonometry provides students with a focused study of the relationships between angles and side lengths of triangles, as well as the properties and applications of trigonometric functions. The course emphasizes both the theoretical foundations and the practical applications of trigonometry, preparing students for advanced studies in Precalculus, Calculus, and technical fields. Students develop fluency with trigonometric ratios, identities, and equations while applying trigonometry to solve real-world problems in areas such as physics, engineering, and architecture.

Key Learning Focus

Students will:

• Explore the unit circle and develop an understanding of radian and degree measure.
• Define and apply trigonometric functions and their graphs.
• Solve right and oblique triangles using trigonometric ratios and the Laws of Sines and Cosines.
• Verify and apply trigonometric identities.
• Solve trigonometric equations and model real-world periodic phenomena.
• Apply trigonometry to authentic contexts in science, engineering, and technology.

Instructional Approach

Instruction combines visual models, graphing, and real-world applications to strengthen conceptual understanding. Students engage in problem-solving tasks, mathematical discussions, and technology-enhanced explorations to connect trigonometric concepts with practical use. Emphasis is placed on both precision in computation and depth of reasoning.

Outcome

By the end of Trigonometry, students will:

• Demonstrate fluency in applying trigonometric ratios, functions, and identities.
• Solve equations and analyze graphs of trigonometric functions.
• Apply trigonometric concepts to model and solve real-world problems.
• Communicate reasoning clearly and effectively using appropriate mathematical language.
• Be well-prepared for Precalculus, Calculus, or advanced technical coursework.