Trigonometry and Teaching Strategies

Front

SOH: Sine is Opposite over Hypotenuse. sin(A) = Opposite / Hypotenuse CAH: Cosine is Adjacent over Hypotenuse. cos(A) = Adjacent / Hypotenuse TOA: Tangent is Opposite over Adjacent. tan(A) = Opposite / Adjacent

Back

The SOH-CAH-TOA mnemonic helps remember trigonometric ratios: - Sine = Opposite / Hypotenuse - Cosine = Adjacent / Hypotenuse - Tangent = Opposite / Adjacent

Front

Exercise 1: What is C in degrees? Solve for B if a=4 and b=5. Solve for c if a=4 and A=43°. Find the value of the hypotenuse. The angle of elevation refers to the angle formed by the line of sight above the horizontal.

Back

Exercise 1 involves solving for angles and sides of a triangle using trigonometric principles.

Front

Group Activity: Scenario A - The Drone Challenge The drone is 50m away with a 25° angle of depression. How tall is the tower?

Back

Front

Group Activity: Scenario B - The Zipline Planning The platform is 15m high, and the anchor point creates a 30° angle of depression. How long will the zipline need to be?

Back

Front

Teacher's Role in Engage Phase Acts as a facilitator. Presents a compelling, visual hook. Asks probing questions to activate prior knowledge.

Back

The teacher's role in the Engage phase is to guide students by presenting engaging content and encouraging brainstorming to activate prior knowledge.

Front

ICT Integration in Engage Phase Uses GeoGebra to create interactive scenarios. Provides visualization that cannot be replicated on a chalkboard.

Back

ICT tools like GeoGebra enhance learning by creating interactive and engaging scenarios, making abstract concepts more accessible.

Front

PPST COI - 1.5.2 (Proficient) Design, select, organize, and use diagnostic, formative, and summative assessment strategies consistent with curriculum requirements.

Back

PPST COI emphasizes the importance of using diverse assessment strategies to align with curriculum requirements and diagnose prior knowledge effectively.

Front

Group Activity Instructions Model the problem by sketching the triangle. Calculate the solution using a calculator. Verify the answer using GeoGebra. Post the final answer on the chalkboard.

Back

Group activities involve modeling, calculating, verifying, and presenting solutions to enhance collaborative learning and problem-solving skills.

Front

ICT Integration in Explore Phase GeoGebra for visualization and verification. Google Sheets or MS Excel for computation. Google Canva for collaboration and presentation.

Back

ICT tools like GeoGebra, Google Sheets, and Canva support visualization, computation, and collaboration, making learning more interactive and efficient.

Front

The Problem-Solver's Framework: UPSC This model is research-based in its alignment.

Back

The Problem-Solver's Framework (UPSC) is a structured, research-based approach to problem-solving, ensuring alignment with educational goals.