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This Recognizing Equations of Circles lesson plan also includes:
- Geometry Module 5: Teacher Materials
- Geometry Module 5: Student Materials
- Geometry Module 5: Copy Ready Materials
- Geometry Module 5, Topic D Overview
- Geometry Module 5, Topic D, Lesson 18: Teacher Version (Doc)
- Geometry Module 5, Topic D, Lesson 18: Student Version (PDF)
- Geometry Module 5, Topic D, Lesson 18: Student Version (Doc)
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What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax + By + C = 0 to determine if the solution set is a point, a circle, or the empty set.
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CCSS:
Designed
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Instructional Ideas
- Provide algebra tiles for learners who are still struggling with completing the square, factoring trinomials, etc.
Classroom Considerations
- The lesson relies heavily on algebraic processes, such as completing the square; be sure your class is up-to-date on their algebra skills
- Individuals also need to be familiar with how to write the equation of a circle (previous lesson)
- In the nineteenth installment of a 23-part module
Pros
- Teacher resource indicates tips for differentiating instruction for advanced/struggling learners, as well as for English language learners
- Includes answer key to all worksheets, including exit tickets and exercises
- Problem set includes a wide variety of exercises, which includes determining from their equations whether two circles are externally tangent
Cons
- None