Title: Introduction to Trigonometry

Objective: By the end of this lesson, students will be able to understand the basic concepts of trigonometry, including the definitions of sine, cosine, and tangent, and how to apply them to solve problems involving right triangles.

Duration: 60 minutes

Materials: - Whiteboard or blackboard - Markers or chalk - Handouts with practice problems - Calculator (optional)

Lesson Outline:

I. Introduction (5 minutes) A. Greet the students and briefly explain the purpose of the lesson. B. Discuss the importance of trigonometry in various fields such as engineering, physics, and architecture.

II. Trigonometric Ratios (20 minutes) A. Define the terms “opposite,” “adjacent,” and “hypotenuse” in relation to a right triangle. B. Introduce the three primary trigonometric ratios: sine, cosine, and tangent. C. Explain how to calculate each ratio using the sides of a right triangle. D. Provide examples and guide the students through the calculations. E. Emphasize the importance of labeling the sides correctly.

III. Solving Right Triangle Problems (25 minutes) A. Introduce the concept of using trigonometric ratios to solve problems involving right triangles. B. Demonstrate how to use the trigonometric ratios to find missing side lengths or angles in a right triangle. C. Provide step-by-step examples and encourage students to follow along. D. Distribute handouts with practice problems for students to solve individually or in pairs. E. Walk around the classroom to assist students and answer any questions they may have.

IV. Conclusion and Recap (10 minutes) A. Review the key concepts covered in the lesson, including the definitions of sine, cosine, and tangent. B. Summarize the steps involved in solving right triangle problems using trigonometric ratios. C. Encourage students to practice more problems independently to reinforce their understanding. D. Answer any remaining questions and provide additional resources for further study.

Note: Depending on the level of the students, you may need to adjust the complexity of the problems and provide more or fewer examples. Additionally, incorporating real-life applications of trigonometry can make the lesson more engaging and relatable.