Here is a great video to assist you in starting your lessons on circles. We all know the standards have changed and this one specifically is a head ache due to the algebra 2 that is involved.
CCSS.Math.Content.HSG-GPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Most of us have students that have not learned how to complete the square or even mastered basic algebraic proofs. Deriving the equation of a circle is impossible without being able to complete the square. Below is a great video on how to teach them this algebra lesson so you can teach this geometry standard.
Once you have reviewed / taught them completing the square. You then have to go into much more complex problems to get them to this level for the standard.
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Circles in the Coordinate Plane Worksheet - Word Docs & PowerPoints
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Hopefully this will assist you with getting your class to master this standard for 10th Grade Geometry. If you would like to see all of our materials on this standard simply join the Geometry Teacher Community by clicking the image below. Everything you will need to master the Common Core Standards in your Geometry Class will be given to you!