Geometry Problems: Circles and 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.
  • Before the lesson, students attempt the problem individually. You then review their work and create questions for students to answer in order to improve their solutions.
  • During the lesson, students work collaboratively in small groups to produce an improved solution to the same problem.
  • Working in the same small groups, students comment on and evaluate some solutions produced by students in another class.
  • In a whole-class discussion, students explain and compare the alternative solution strategies they have seen and used.
  • Finally, students review the work they did on their individual solutions and write about what they learned.
  • Additional resources for this lesson include: geometry_problems_slides_beta.ppt

Objectives

  • To help you assess how well students are able to use geometric properties to solve problems.
  • To help you identify and help students who have the difficulties solving problems by determining the lengths of the sides in right triangles.
  • To help you identify and help students who have the difficulties finding the measurements of shapes by decomposing complex shapes into simpler ones.
  • To help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.
60 mins K-12.MP.1 K-12.MP.2 K-12.MP.3 K-12.MP.6 K-12.MP.7 HSG.SRT.C.6 HSG.SRT.C.7 HSG.C.A.1 HSG.C.A.2 HSG.C.A.3 HSG.C.A.4 HSG.SRT.C.8
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