Inscribing and Circumscribing Right Triangles

A little background

  • In case you are trying the MARS MAP Classroom Challenges for the first time, it is recommended that you read the Brief Guide for teachers and administrators before you get started.
  • This lesson is designed to enable students to develop strategies for describing relationships between right triangles and the radii of their inscribed and circumscribed circles.
  • Before the lesson students attempt the problem individually. You review their work and formulate questions for students to answer in order to improve their solutions.
  • At the start of the lesson students work alone answering your questions.
  • Students then work in groups in a collaborative discussion of the same task. In the same small groups, students are given some sample solutions to evaluate and comment on.
  • In a whole class discussion, students explain and compare the alternative solution strategies they have seen and used.
  • Finally, students review what they have learnt.
  • Additional resources for this lesson include: inscribing_&_circumscribing_right_triangles_slides.ppt

Objectives

  • To help you assess how well students are able to use geometric properties to solve problems.
  • Tt will help you identify and help students who have difficulty decomposing complex shapes into simpler ones in order to solve a problem.
  • Tt will help you identify and help students who have difficulty bringing together several geometric concepts to solve a problem.
  • Tt will help you identify and help students who have difficulty finding the relationship between radii of inscribed and circumscribed circles of right triangles.
100 mins K-12.MP.1 K-12.MP.2 K-12.MP.3 K-12.MP.7 HSG.CO.D.12 HSG.CO.D.13 HSG.SRT.C.6 HSG.SRT.C.7 HSG.C.A.1 HSG.C.A.2 HSG.C.A.3 HSG.C.A.4 HSA.CED.A.1 HSA.CED.A.3 HSA.CED.A.2 HSA.CED.A.4 HSG.SRT.C.8
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