1st/2nd Honors Geometry Skinny

What

1st/2nd Honors Geometry Skinny

When

3/30/2023

Standard:
MGSE.9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically (for example, prove or disprove that a point lies on the circle centered at the origin and containing another point).
MGSE.9-12.G.GPE.1: Derive the equation of a circle given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of circle given by an equation.

Learning Targets /Success Criteria:
--I can use the standard form of the equation of a circle to prove that a given point falls on, in or outside a circle.
--I can prove that a point falls on, in, or outside a circle given the equation of the circle or given the center and a point on the circle.
LT: I can identify parts of a circle from the equation written in standard form.
SC:
• I can identify the center of the circle by taking the opposite of h,k.
• I can identify the radius of the circle by taking the square root of the constant.
LT: I can use the graph of a circle to write the equation of the circle.
SC:
• I can find the coordinates of the center.
• I can determine the length of the radius.
• I can use the center and the radius to write the equation in standard form.
LT: I can graph a circle on the coordinate plane.
SC:
• I can identify and plot the center.
• I can identify and use the radius to plot 4 additional points.

Introduction/Connection (Bellringer): Questions on h/w.

Direct Instruction/Guided Practice: None.

Independent Practice/Collaboration/Differentiation:
--students will complete equations of circles quiz
--differentiation: all accommodations/modifications as outlined in 504s and/or IEPs.

Summarizer/CFU: None.

Assignment: None.