Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Check each quilt square.

  • Is the postulate represented?

  • Is the note card clearly written?

  • Is the report on quilt making clearly written?

  • Provide feedback as needed.


Proof Using SAS and HL


I.SectionObjectives



  • Understand and apply the SAS Congruence Postulate.

  • Identify the distinct characteristics and properties of right triangles.

  • Understand and apply the HL Congruence Theorem.

  • Understand that SSA does not necessarily prove triangles are congruent.


II.Cross-curricular-Quiltmaking



  • Students are working on adding on to their quilts.

  • In this lesson, they are going to be creating quilt squares using right triangles.

  • After the student has created his/her square, ask them to create a color card to demonstrate congruence using
    the SAS Congruence Postulate.

  • These quilt squares should contain right triangles.

  • Add these quilt squares to the poster.

  • Students can also sew these to the quilt.


III.TechnologyIntegration



  • Ask students to look at patterns using right triangles.

  • Then have them find quilt patterns using right triangles.

  • This investigation can impact their design work on the quilt squares.

  • Have students look at some examples of Amish Quilts.

  • How do they differ from other quilt designs?

  • Ask the students to identify some of their favorite patterns and explain why they were selected.


IV.NotesonAssessment



  • Examine student work.

  • Is the student caught up on the work on the quilt?

  • Is each square in today’s lesson using right triangles?

  • Does the student understand the SAS Congruence Postulate?

  • Is this clearly demonstrated on the color card?

  • Provide students with feedback/coaching as needed.


Using Congruent Triangles


I.SectionObjectives


3.4. Congruent Triangles

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