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