Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Observe students through this lesson.

  • Allow plenty of time for the students to ask questions.

  • Repeat examples or information that seems unclear.


Acute and Obtuse Triangles


I.SectionObjectives



  • Identify and use the Law of Sines.

  • Identify and use the Law of Cosines.


II.MultipleIntelligences



  • There is a lot of information in this chapter. I recommend breaking it down and going through the examples
    slowly so that students are given a visual aid, an auditory aid and a chance to verbally ask questions.

  • Intention of lesson- to apply the sine and cosine ratios to angles in acute and obtuse triangles.

  • Law of Sines- is constant. It can be used to find the missing lengths in triangles.

  • Review using a calculator to find the value of sines.

  • Law of Cosines- works on acute, obtuse and right triangles.

  • If the students seem lost during this lesson, break them up into small groups. Assign each group either the
    Law of Sines or the Law of Cosines and have them create a poster explaining the steps to using these laws in
    an example.

  • The students can even use one of the examples in the text.

  • By having the students create a poster to explain the information, the students will learn to assimilate the
    information themselves.

  • Allow time for each group to explain their poster when finished.

  • Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal, intrapersonal


III.SpecialNeeds/Modifications



  • Begin with a review of sines and cosines.

  • Allow time for student questions.

  • Review acute triangles have all angles that are less than 90.

  • Review that obtuse triangles have one angle that is greater than 90.

  • Review using a calculator to find the value of sines.


IV.AlternativeAssessment



  • Walk around while the students are working on their posters.

  • Listen to the conversation in the groups.

  • Are the students on task? Are they having difficulty?

  • Often if the conversation has strayed from the content of the assignment, the students are lost and not sure
    what to do next.

  • Assess student understanding through posters and presentations. Clarify points that have been missed or are
    incorrect.


4.8. Right Triangle Trigonometry

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