Geometry, Teacher\'s Edition

(Axel Boer) #1

II.MultipleIntelligences



  • Teach the concepts in this lesson prior to completing the activity. This activity involves music and will assist
    students in a concrete example of how to write a conclusion using inductive reasoning and then use deductive
    reasoning to prove their conclusion.

  • Prepare a five or six music samples for students to listen to. Be sure that all of the samples are from the same
    genre of music, for example, all jazz. You can even make a few of them by the same artist. The students will
    have a couple of different options to draw a conclusion from.

  • Then allow students time to work in a pair and to write a conclusion about the samples that they have heard.

  • Have each pair exchange their conclusion with another pair. Then the students must use deductive reasoning
    to prove that the statement is correct.

  • Intelligences: linguistic, logical- mathematical, musical, interpersonal, intrapersonal


III.SpecialNeeds/Modifications



  • Begin the class with a review of the following terms. Knowledge and understanding of these terms is implied
    in this lesson.

    • Linear pair

    • Adjacent angles

    • Vertical angles

    • Supplementary angles

    • Complementary angles



  • Write the following new definitions on the board/overhead. Request that students copy this information down
    in their notebooks.

    • Law of Detachment

    • Law of Syllogism

    • Inductive Reasoning

    • Deductive Reasoning



  • Truth Tables- go over this information very slowly. Be sure that the students understand all of the symbols
    prior to going over the section in the textbook. You could even create a chart of symbols and explanations on
    the board for easier understanding.


IV.AlternativeAssessment



  • Notice how students react to the music cues. Then notice the conclusions that they write about the music. Be
    sure that they prove their statements clearly. If they have difficulty, then provide examples or use another peer
    group to coach these students.


Algebraic Properties


I.SectionObjectives



  • Identify and apply properties of equality

  • Recognize properties of congruence “inherited” from the properties of equality

  • Solve equations and cite properties that justify the steps in the solution

  • Solve problems using properties of equality and congruence


II.MultipleIntelligences


4.2. Reasoning and Proof

Free download pdf