III.SpecialNeeds/Modifications
- Review the parts of a triangle.
- Remind students that thexin the cosine and sine ratios refers to the angle that we are focusing on.
- Break down the two formulas and write them on the board. Request that the students copy them down in their
notebooks. - Allow extra time for questions.
IV.AlternativeAssessment
- Collect student work after the activity.
- Use this to assess student understanding and provide extra support for students who are having difficulty.
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.MultipleIntelligences
- The best way to differentiate this lesson is to break down the information in the lesson. This will help all
students. - Here are some notes to give the students as you teach the information in the lesson.
- Inverse of a trigonometric function has the word arc in front of it.
- Inverse Tangents
- Convert measurement to degrees in two ways.
- Use a table of trigonometric ratios.
- Use a calculator with “arctan”, “atan” or “tan_1”
- This will give you the measure of the angle in degrees.
- Notice that we use the approximately symbol for measurements that are not exact.
- Point this out for students in the lesson examples.
- Inverse Sine
- You can find the arcsine by the same two methods as the arctangent.
- This converts the measurement to degrees.
- Inverse Cosine
- You can find the arccosine the same two ways.
- This will convert the measurement to degrees.
III.SpecialNeeds/Modifications
- Begin with some work on inverses.
- Be sure that students understand an inverse of an operation undoes the operation.
- Use a one- step equation to show students this.
- Then use the notes in the Multiple Intelligences section to break down the content for the students.
IV.AlternativeAssessment
Chapter 4. Geometry TE - Differentiated Instruction