Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Walk students through the directions on how to use the technology.

  • AAA Rule- if angles of a triangle are congruent to the corresponding angles of another triangle, then the
    triangles are similar.

  • SAME AS: The AA Triangle Similarity Postulate except that it uses two angles and not three.

  • Both are true and both work.

  • Indirect measurement- provide students with a visual example of the two similar triangles and the proportions.


IV.AlternativeAssessment



  • Alternative Assessment in this lesson is done through observation and through interacting with the students
    during the activity.


Similarity by SSS and SAS


I.SectionObjectives



  • Use SSS and SAS to determine whether triangles are similar.

  • Apply SSS and SAS to solve problems about similar triangles.


II.MultipleIntelligences



  • There are two great ways to differentiate this lesson included in the text. One is the technology integration
    and one is the hands- on activity.

  • Here is how we can take the hands- on activity and expand it a bit to include an interactive part.

  • Complete the hands- on activity as it has been written in the text.

  • When finished, ask students to write a few observations that they have made into their notebooks.

  • Then ask students to contribute their observations to a class discussion.

  • Write all of the student observations on the board. Point out the SSS for Similar Triangles.

  • SSS for Similar Triangles- if the lengths of the sides of the two triangles are proportional, the triangles are
    similar.

  • SAS for Similar Triangles- use Cheryl’s examples to create your own example to illustrate the SAS for Similar
    Triangles.

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


III.SpecialNeeds/Modifications



  • Write the intention of the lesson on the board.

  • Intention is to explore relationships between proportional side lengths and congruent angles of similar trian-
    gles.

  • Review the directions for using the technology.

  • Write the directions to the hands- on activity on the board.


IV.AlternativeAssessment



  • Observe student work through the technology integration activity.

  • Observe student work through the hands- on activity.


4.7. Similarity

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