# Q4, W5: April 26-30 Geometry Teacher Kristin Andreason Geometry Honors 8 April 26-30 Unit 8: Circles with and without Coordinates
Standard(s) Taught

MAFS.912.G-GPE.1.1:  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.

Learning Targets and Learning Criteria
• identify the center and radius of a circle given its equation.
• draw a right triangle with a horizontal leg, a vertical leg, and the radius of a circle as its hypotenuse
• write the equation of a circle by using the distance formula (Pythagorean Theorem), the coordinates of a circle’s center, and the circle’s radius.
• rewrite an equation of a circle in general (quadratic) form to standard form by completing the square.
Classroom Activities

Monday/Tuesday:

1. Students will log onto the Zoom session
2. I will give students notes on Tangents and Secants of Circles
3. Students will do a worksheet finding angle measures of tangents, chords, and secants that intersect inside, on, and outside a circle
4. Students will do an activity called “Build Understanding for the Equation of a Circle.”
5. We will watch some of Math Nation:  Section 12, Topic 5

Wednesday:

1. Students will log onto the Zoom session
2. I will introduce converting from the general form to the standard form of the equation of a circle by completing the square
3. Students will finish missing assignments

Thursday/Friday:

• I will review how to convert from the general equation of a circle to the standard form of a circle by completing the square.
• Students will do a worksheet on Equations of Circles
Assignments Due
• Worksheet on Tangents and Secants
• Worksheet on Equations of Circles