Geometry, Teacher\'s Edition

(Axel Boer) #1

Isosceles and Equilateral Triangles


I.SectionObjectives



  • Prove and use the Base Angles Theorem.

  • Prove that an equilateral triangle must also be equiangular.

  • Use the converse of the Base Angles Theorem.

  • Prove that an equiangular triangle must also be equilateral.


II.MultipleIntelligences



  • In this lesson, the students are going to work with the Base Angles Theorem.

  • They are going to need to prove the Base Angles Theorem with both isosceles and equilateral triangles.

  • Prior to teaching the lesson, ask students to recall information about isosceles and equilateral triangles. Ask
    them to make a list of the characteristics of each in their notebooks.

  • When finished, use a class discussion to generate a list of characteristics for both isosceles and equilateral
    triangles on the board.

  • Then present the information in the text.

  • As you teach about the Base Angles Theorem, point out which characteristics apply when working with this
    theorem.

  • Do this for both the isosceles triangle and the equilateral triangle.

  • Be sure that the students take notes on both triangle examples.

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


III.SpecialNeeds/Modifications



  • Review isosceles triangles and their parts on the board.

  • Present the material in words and in a diagram.

  • Review converse statements. Be sure that students understand converse statements.

  • Review equilateral triangles and their parts on the board.

  • Present the material in words and in a diagram.

  • Write out any points or conclusions that you make while discussing this lesson with the students.

  • Write this information out on the board and request that the students copy these notes down in their notebooks.


IV.AlternativeAssessment



  • Alternative Assessment can be completed through observation and listening during the brainstorming session
    and during the discussion.


Congruence Transformations


I.SectionObjectives



  • Identify and verify congruence transformations.

  • Identify coordinate notation for translations.

  • Identify coordinate notation for reflections over the axes.

  • Identify coordinate notation for rotations about the origin.


Chapter 4. Geometry TE - Differentiated Instruction
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