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Geometry 9-12 / Week 10
Week 10

Equations of Circles and Parabolas

// The turntable and the lamp dish on the stage grid

A circle with center (h, k) and radius r is every point (x, y) whose distance from the center is r. The Pythagorean theorem turns that into (x - h)² + (y - k)² = r². An expanded equation hides the center and radius until you complete the square. A parabola is every point as far from a fixed point, the focus, as from a fixed line, the directrix; with the vertex at the origin and the focus at (0, p) its equation is y = x²/(4p). This week the crew writes the turntable and the lamp reflector as equations on the stage grid.

DAYS THIS WEEK

MONDAY

Monday

16 blocks · 4 graded

TUESDAY

Tuesday

17 blocks · 4 graded

WEDNESDAY

Wednesday

18 blocks · 3 graded

THURSDAY

Thursday

18 blocks · 3 graded

FRIDAY

Friday

14 blocks · 4 graded

SHOP DAY

Shop Day

10 blocks · 2 graded

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