Geometry, Teacher\'s Edition

(Axel Boer) #1

  • The students are going to need to design the tower so that the posts of the tower are parallel and are connected
    or braced by a transversal.

  • They will need to demonstrate how the angles of the transversal prove that the tower poles are parallel.

  • Begin the lesson by explaining, “Today you are going to design a tower to be used in a National Park by a
    Forest Ranger.”

  • To design the tower, you must create four parallel poles to place your platform on top of. The poles must be
    connected by a supporting transversal.

  • You must use what you have learned about angles to design the tower and prove that the poles are parallel.

  • Students will need protractors, rulers, chart paper and pencils.

  • All angles must be labeled and measured.

  • Look at Figure 03.03.01 to get an idea of a possible example.

  • When finished, allow students time to share their work.


III.MeetingObjectives



  • Students will show interior and exterior angles in their diagram.

  • Students will show corresponding angles in their diagram.

  • Students will apply what they have learned in a real- life example.

  • Students will demonstrate the Parallel Lines Property.


IV.NotesonAssessment



  • Look at each student diagram and assess student work.

  • Is the diagram labeled?

  • Are the angle measures correct?

  • Were the students able to label the diagram to demonstrate that the poles are parallel?

  • Offer students corrections and feedback.


Slopes of Lines


I.SectionObjectives



  • Identify and compute slope in the coordinate plane.

  • Use the relationship between slopes of parallel lines.

  • Use the relationship between slopes of perpendicular lines.

  • Plot a line on a coordinate plane using different methods.


II.ProblemSolvingActivity-WheelchairRamps



  • Students are going to use what they have learned about slope to design a wheelchair ramp.

  • A wheelchair ramp has a slope of 121 ft. - http://www.newdisability.com/wheelchairramp.htm

  • Here is the problem.

  • A new home has a front door that is 3^12 feet off of the ground. A wheelchair ramp needs to have a slope of
    1
    12 ft. Based on this fact and on the height of the door, design a wheelchair ramp that will work for this new
    home. Show all of your work in your diagram.

  • Allow time for the students to work on this dilemma.

  • Then tell students that every unit on a coordinate grid represents one foot. Ask them to draw their wheelchair
    ramp on coordinate grid.

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


Chapter 5. Geometry TE - Problem Solving
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