Geometry, Teacher\'s Edition

(Axel Boer) #1

4.3 Parallel and Perpendicular Lines


Lines and Angles


I.SectionObjectives



  • Identify parallel lines, skew lines, and perpendicular lines

  • Know the statement of and use the Parallel Line Postulate.

  • Know the statement of and use the Perpendicular Line Postulate.

  • Identify angles made by transversals.


II.MultipleIntelligences



  • Teach half of the lesson, complete the walk around activity, and then finish the rest of the lesson.

  • Write the vocabulary on the board for the visual- spatial learners. Include the following.

    • parallel lines with symbol

    • perpendicular lines with symbol

    • parallel planes

    • skew lines



  • Have students walk around the room and make a list of all of the places where they can locate each type of
    lines.

  • When finished, allow time for students to share their findings.

  • Go on to the postulates. Break each postulate down into simple steps. This will assist visual- spatial learners
    and special needs students. Here are some suggestions.

  • Parallel Line Postulate

    • Given a line and a point not on that line

    • One line parallel to the given line goes through that point



  • Perpendicular Line Postulate

    • Given a line and a point not on that line

    • One line perpendicular to the line passes through that point



  • When working with transversals, use color to indicate the different angles in a diagram. Use color for
    definitions too. This will help students to keep things clear.

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


III.SpecialNeeds/Modifications



  • Before working on the section of the lesson on transversals, review the meaning of the following words:
    adjacent, vertical, interior, exterior, corresponding and consecutive.

  • Break down the transversal section. Use a diagram too.

  • Teach adjacent and vertical angles first.

  • Then teach interior, exterior and corresponding

  • Finally, teach alternate interior, alternate exterior and consecutive angles.


Chapter 4. Geometry TE - Differentiated Instruction
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