| Standard(s) Taught |
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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.
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| Learning Targets and Learning Criteria |
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- 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.
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| Classroom Activities |
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Monday/Tuesday:
- Students will log onto the Zoom session
- I will give students notes on Tangents and Secants of Circles
- Students will do a worksheet finding angle measures of tangents, chords, and secants that intersect inside, on, and outside a circle
- Students will do an activity called “Build Understanding for the Equation of a Circle.”
- We will watch some of Math Nation: Section 12, Topic 5
Wednesday:
- Students will log onto the Zoom session
- I will introduce converting from the general form to the standard form of the equation of a circle by completing the square
- 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
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| Assignments Due |
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- Worksheet on Tangents and Secants
- Worksheet on Equations of Circles
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| Additional Resources |
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All IEP and ESOL accommodations will be provided daily.
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