Students will be able to apply trigonometric ratios to solve word problems involving angles of depression and elevation.
Students will be assessed through a worksheet containing various trigonometry word problems that involve angles of depression and elevation. They will need to apply trigonometric ratios to calculate missing lengths.
Understanding angles of depression and elevation
Applying trigonometric ratios (sine, cosine, tangent) in word problems
Solving for unknown lengths using trigonometry
Interpreting the solutions in the context of the problem
Begin by showing students a picture with a building and asking them how they can calculate the height of the building without actually measuring it.
Define angles of depression and elevation
Explain the concept of trigonometric ratios
Common Misconception: Assuming the angle given in the problem is always the angle needed for calculation, emphasize the need to identify the correct angle.
Provide examples of word problems on the board
Start with guided questions leading students through the solution process
Monitor student understanding by walking around the classroom and checking on their progress
Distribute a worksheet with various trigonometry word problems
Instruct students to work independently to solve the problems
Encourage them to show their work and explain their reasoning
Have students share their solutions to one of the word problems on the board
Summarize the key steps in solving trigonometry word problems
For early finishers, provide a challenge problem involving multiple steps and angles
Assign students to create their own trigonometry word problem that involves angles of depression and elevation for their peers to solve.
CCSS.MATH.CONTENT.HSG.SRT.D.10: Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
CCSS.MATH.CONTENT.HSG.SRT.D.10a: Verify experimentally the properties of dilations given by a center and a scale factor.