Geometry, Teacher\'s Edition

(Axel Boer) #1

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.



    1. Use a table of trigonometric ratios.





    1. 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
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