- Assess student knowledge and ability to connect this career with geometry.
- Did the students simply repeat the presentation, or did he/she bring their own thoughts and opinions into the
paper? - Provide students with feedback on their work.
Inverse Trigonometric Ratios
I.SectionObjectives
- Identify and use the arctangent ratio in a right triangle.
- Identify and use the arcsine ratio in a right triangle.
- Identify and use the arccosine ratio in a right triangle.
- Understand the general trends of trigonometric ratios.
II.Cross-curricular-EnvironmentalStudies
- Use the following page of information to show students how tangents and arctangents are used in real world
applications. - http://www.e-education.psu.edu/natureofgeoinfo/c7_p10.html
- This website shows the students that when people are studying the environment and changes in elevation, that
they use the measurements of slope to do this. - Review slope with the students.
- Then you can move on to connecting slope with the tangent ratios.
- These ratios can show how a slope or how elevation is changing over time.
- For example, take beach erosion.
- When the beach or coast is eroding away due to a storm or hurricane, the slope of the land before the storm
and after the storm can be compared. - In the same example, the change in the degrees of the triangle (the arctangent) can be used to compare or
demonstrate change as well. - Have the students think of other types of elevation changes.
- Brainstorm examples and write them on the board.
III.TechnologyIntegration
- Here is a great video showing a word problem and how to figure it out.
- http://www.video.yahoo.com/watch/3008744/8600194
- Students can watch this video for some extra practice on solving trigonometric word problems.
- Then they can practice writing their own.
- Have the students write an answer key too.
- When finished, collect the word problems for further use.
IV.NotesonAssessment
- Collect student word problems.
- Read them and assess whether or not the students have a good grasp of the material.
- Use the word problems for a quiz or homework assignment.
- Provide students with feedback as needed.
3.8. Right Triangle Trigonometry