Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Activity to differentiate this lesson.

  • Ask students to draw a polygon and label the lengths of the sides of their polygon.

  • Then ask the students to exchange polygons with someone else. Students may exchange more than once just
    be sure that everyone has a different polygon than the one that they started with.

  • Students need to complete the following with this new polygon.



    1. Draw a similar polygon to the one that you have been given.





    1. Write proportions to demonstrate that the side lengths are similar.





    1. Determine the scale factor.





    1. Determine the ratio of the perimeters.



  • When finished, divide into small groups to share their findings.

  • Use peers to correct any errors in the work of each individual.

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


III.SpecialNeeds/Modifications



  • Define similar.

  • Similar in the context of polygons.



    1. Same number of sides





    1. For each angle there is a corresponding angle in the other polygon that is congruent.





    1. Lengths of all corresponding sides are proportional.



  • Write all assignment directions on the board so that students can refer back to what is needed for each step.

  • Use flexible grouping to assist students in understanding the activity.

  • Ratios of similar perimeters- same as scale factor- be sure that students understand these two concepts.


IV.AlternativeAssessment



  • Walk around and listen in on group discussions.

  • Interject important information, offer feedback or constructive criticism when needed.


Similarity by AA


I.SectionObjectives



  • Determine whether triangles are similar.

  • Understand AAA and AA rules for similar triangles.

  • Solve problems about similar triangles.


II.MultipleIntelligences



  • The technology integration is a nice way to differentiate this lesson by adding the interactive element of
    technology.

  • In addition, after covering the material in the lesson, the shadow problems with the similar triangles are a fun
    way to help the students to gain a deeper understanding of the concepts in the lesson.

  • You could have the students write their own problems and solve each other’s using diagrams and drawings.

  • You could also take the students outside, use a tree or a flagpole, the height of a student, and their shadow to
    measure and actually create a real life problem.

  • This can be a fun way to bring the outdoors, nature and real life into the math classroom.

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


III.SpecialNeeds/Modifications


Chapter 4. Geometry TE - Differentiated Instruction
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