Class Objectives:
- Understand the basic concepts of trigonometry.
- Learn about trigonometric ratios: sine, cosine, and tangent.
- Identify and label the sides of a right-angled triangle.
- Apply trigonometric ratios to find missing sides in right-angled triangles.
Class Outline:
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Introduction (5 minutes):
- Greet the students and introduce yourself.
- Briefly explain the importance of trigonometry in mathematics and real-life applications (e.g., engineering, architecture, astronomy).
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Warm-Up Activity (10 minutes):
- Start with a quick review of Pythagoras' theorem to refresh their memory of right-angled triangles.
- Use simple examples to solve a couple of right-angled triangle problems involving Pythagoras' theorem.
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Explanation of Trigonometry Basics (15 minutes):
- Define trigonometry as the study of relationships between the angles and sides of triangles.
- Explain the terms "opposite," "adjacent," and "hypotenuse" with respect to a right-angled triangle.
- Opposite: The side opposite to the angle of interest.
- Adjacent: The side adjacent (next to) the angle of interest.
- Hypotenuse: The longest side of the triangle, opposite the right angle.
- Draw a right-angled triangle on the board and label these sides.
- Introduction to Trigonometric Ratios (20 minutes)
- Interactive Practice and QnA (10 minutes)