Equations of Circles 1

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 work individually on an assessment task that is designed to reveal their current understanding and difficulties. You then review their work and create questions for students to answer in order to improve their solutions.
  • After a whole-class introduction students work collaboratively, categorizing equations and geometric descriptions of circles.
  • Towards the end of the lesson there is a whole-class discussion.
  • In a follow-up lesson, students again work alone on a similar task to the introductory assessment task.
  • Additional resources for this lesson include: equations_of_circles_1_slides.ppt

Objectives

  • To help you assess how well students are able to use the Pythagorean theorem to derive the equation of a circle.
  • To help you assess how well students are able to translate between the geometric features of circles and their equations.
70 mins K-12.MP.1 K-12.MP.5 K-12.MP.7 HSG.GPE.A.1 HSG.GPE.A.2 HSG.GPE.A.3 HSG.GPE.B.4 HSG.GPE.B.5 HSG.GPE.B.6 HSA.CED.A.1 HSA.CED.A.3 HSA.CED.A.2 HSA.CED.A.4
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