Analytic Geometry Unit 6 - Modeling Geometry
CCGPS Standards
- MCC9-12.A.REI.7 - Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
- MCC9-12.G.GPE.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.
- MCC9-12.G.GPE.2 - Derive the equation of a parabola given a focus and directrix.
- MCC9-12.G.GPE.4 - Use coordinates to prove simple geometric theorems algebraically.
Unit Overview
Lesson 1: Deriving the equation of a circle
Lesson 2: Deriving the equation of a parabola - focus on parabolas that open vertically
Lesson 3: Review parabolas and introduce parabolas that open horizontally
Lesson 4: System of Equations Activities
Lesson 5: Use coordinate to prove simple geometric theorems
Lesson 6: Review
Lesson 7: Summative Assessment
Lesson 2: Deriving the equation of a parabola - focus on parabolas that open vertically
Lesson 3: Review parabolas and introduce parabolas that open horizontally
Lesson 4: System of Equations Activities
Lesson 5: Use coordinate to prove simple geometric theorems
Lesson 6: Review
Lesson 7: Summative Assessment