Geometry, Teacher\'s Edition

(Axel Boer) #1

Parallel Lines and Transversals


I.SectionObjectives



  • Identify angles formed by two parallel lines and a non- perpendicular transversal.

  • Identify and use the Corresponding Angles Postulate.

  • Identify and use the Alternate Interior Angles Theorem.

  • Identify and use the Alternate Exterior Angles Theorem.

  • Identify and use the Consecutive Interior Angles Theorem.


II.MultipleIntelligences



  • This activity engages several of the intelligences, but also will demonstrate student understanding of the
    postulates and theorems in this lesson.

  • Divide the students into a group of four.

  • Assign each of the four students a different topic- Corresponding Angles Postulate, Alternate Interior Angles
    Theorem, Alternate Exterior Angles Theorem, Consecutive Interior Angles Theorem.

  • Let the students know that their assignment is to prepare a lesson and teach the other students in the group
    about their topic. They can use their notes, a diagram, real life examples, a poem, a song, whatever they would
    like to make the topic clear. The other students in the groups will let the “teacher” know what he/she did well
    and also offer suggestions to improve the presentation.

  • Intelligences- linguistic, logical- mathematical, musical, bodily- kinesthetic, visual- spatial, interpersonal,
    intrapersonal


III.SpecialNeeds/Modifications



  • Review the angles formed by a transversal

  • Write all new postulates and theorems on the board/overhead. Request that the students copy this information
    down in their notebooks.

  • Be sure to place students in a group where they will be well supported by their peers. Some groups are more
    encouraging than others.


IV.AlternativeAssessment



  • Create a rubric that covers the points that you want each student presentation to have.

  • Share this rubric with the students.

  • Observe students as they present their material.

  • Include group feedback as part of the rubric.

  • This could be used to calculate a quiz/classwork grade if necessary.


Proving Lines Parallel


I.SectionObjectives



  • Identify and use the Converse of the Corresponding Angles Postulate.

  • Identify and use the Converse of Alternate Interior Angles Theorem.

  • Identify and use the Converse of Alternate Exterior Angles Theorem.

  • Identify and use the Converse of Consecutive Interior Angles Theorem.


4.3. Parallel and Perpendicular Lines

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