Lesson Plan

• Define the six trigonometric functions for any angle.
• Use the unit circle to determine function values for angles beyond 0°–360°.
• Apply reference angles and quadrant signs to evaluate sine, cosine, tangent, secant, cosecant and cotangent.
• Simplify expressions using the fundamental Pythagorean, reciprocal and quotient identities.
• Solve evaluation problems and prove identities involving the six functions.

• Projector or interactive whiteboard for unit‑circle diagram.
• Printed worksheet with principal‑angle tables and identity practice.
• Scientific calculators (or graphing‑calculator app).
• Coloured markers for board illustrations.
• Student notebooks and pens.

Begin with a quick real‑world example (e.g., height of a tree using sine) to spark interest. Review students’ prior knowledge of sine and cosine definitions from right‑triangle trigonometry. State that by the end of the lesson they will be able to evaluate any trig function for any angle and use key identities confidently.

1. Do‑now (5'): short quiz on sine and cosine definitions and basic values.
2. Direct instruction (10'): introduce all six functions, unit‑circle extension, and reciprocal/quotient relationships.
3. Guided practice (12'): students work in pairs to find reference angles, determine quadrant signs, and evaluate selected angles on the board.
4. Independent practice (10'): worksheet containing evaluation of mixed‑quadrant angles and a proof of a trig identity.
5. Check for understanding (8'): exit ticket – evaluate a given angle and note which identities were applied.

Recap the six function definitions, the role of the unit circle, and how reference angles streamline evaluation. Collect exit tickets to gauge mastery and assign homework: complete a set of additional angle‑evaluation problems and prove one of the Pythagorean identities.