Game Day

Students will play AP Calculus board games designed by last year’s students. Hopefully this will provide a quality review of the content for the students as well as a little fun.

Conic Section Summary

http://math2.org/math/algebra/conics.htm

The Conic Sections. For any of the below with a center (j, k) instead of (0, 0), replace each x term with (x-j) and each y term with (y-k).

	Circle	Ellipse	Parabola	Hyperbola
Equation (horiz. vertex):	x2 + y2 = r2	x2 / a2 + y2 / b2= 1	4px = y2	x2 / a2 – y2 / b2 = 1
Equations of Asymptotes:				y = ± (b/a)x
Equation (vert. vertex):	x2 + y2 = r2	y2 / a2 + x2 / b2= 1	4py = x2	y2 / a2 – x2 / b2 = 1
Equations of Asymptotes:				x = ± (b/a)y
Variables:	r = circle radius	a = major radius (= 1/2 length major axis) b = minor radius (= 1/2 length minor axis) c = distance center to focus	p = distance from vertex to focus (or directrix)	a = 1/2 length major axis b = 1/2 length minor axis c = distance center to focus
Eccentricity:	0		c/a	c/a
Relation to Focus:	p = 0	a2 – b2 = c2	p = p	a2 + b2 = c2
Definition: is the locus of all points which meet the condition…	distance to the origin is constant	sum of distances to each focus is constant	distance to focus = distance to directrix	difference between distances to each foci is constant