1.  Volume problem  The diameter of a sphere is 12ft  What is the volume to the nearest tenth?

2.  Where do you see arcs and angles together?  Basketball  Soccer  Think of the arc around the net/goal  What shot is easier:

3.  Circles have arcs  Congruent arcs have congruent central angles  Chords – congruent chords are equidistant from the center and have congruent central angles  Pg. 774 diameter and chords, will be perpendicular (perpendicular bisector)  http://www.youtube.com/user/EducatorVids?v=I 8kg3hWXjho&feature=pyv&ad=8603464868&kw =arcs http://www.youtube.com/user/EducatorVids?v=I 8kg3hWXjho&feature=pyv&ad=8603464868&kw =arcs  Angles with circles  equation of circle

4. Inscribed angleCentral angle  Measure of the angle is ½ the arc  Pg. 781 got it #1 a and b  Pg. 782 - 787  Starts from the center of the circle

5.  equation of circle problems  Pg. 801 – 802 (12, 16, 18, 22, 24, 26, 34, 38, 42, 54)  discuss problems from 12-1, 12-2, & 12-3 problems  Pg. 785 #24  Pg. 787 #40

6.  What is difference between inscribed and central angle?  How do you find the equation of a circle within a coordinate plane?  Homework: have a quarter Tuesday

7.  circle problem  1) write the standard equation of a circle with center (2, -8) and r = 9  2) write the standard equation of the circle with center ( -2, 6) and the circle passes through point ( - 2, 10)

8.  do you see parabolas in places, if so where?  What is the probability you see one on a daily basis  Carowinds  Basketball court  St. Louis

9.  Finish arcs, angles,  discuss parabolas (conic sections),

10. Inscribed angleCentral angle  Measure of the angle is ½ the arc  Pg. 781 got it #1 a and b  Pg. 782 – 787  Pg. 785 #24  Pg. 787 #40  Starts from the center of the circle

11.  Lines of symmetry  Domain  Range  Equation of a parabola,  Focus  Directrix  http://www.mathsisfun.com/geometry/parab ola.html http://www.mathsisfun.com/geometry/parab ola.html  Conic section – simply the intersection of a plane and a cone

12.  http://www.mathwords.com/p/parabola.htm http://www.mathwords.com/p/parabola.htm  The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.focusparabolafixedpointinteriorcurve  Locus ◦ A word for a set of points that forms a geometric figure or graph. For example, a circle can be defined as the locus of points that are all the same distance from a given point.setpointsgeometric figuregraphcircle

13.  Directrix of a Parabola ◦ A line perpendicular to the axis of symmetry used in the definition of a parabola.lineperpendicularaxis of symmetryparabola  The parabola is the curve formed from all the points (x, y) that are equidistant from the directrix and the focus.  A parabola must satisfy the conditions listed above, and a parabola always has a quadratic equation.quadratic equation

14.  The "general" form of a parabola's equation is the one you're used to, y = ax 2 + bx + c — unless the quadratic is "sideways", in which case the equation will look something like x = ay 2 + by + c.  The important difference in the two equations is in which variable is squared: for regular (vertical) parabolas, the x part is squared; for sideways (horizontal) parabolas, the y part is squared.

15.  The "vertex" form of a parabola with its vertex at (h, k) is:  regular: y = a(x – h) 2 + k sideways: x = a(y – k) 2 + h

16.  conic sections  Parabolas

17.  arc circle problems: pg. 784 #6, 10, 12, 14, 16, and 18  parabola problem (today or Wednesday)

18.  equation of circle problems  Pg. 801 – 802 (12, 16, 18, 22, 24, 26, 34, 38, 42, 54)  discuss problems from 12-1, 12-2, & 12-3 problems

19.  dart boards deal with concentric circles & inscribed angles

20.  Darts  Carnival games  Soccer nets  Basketball nets  Activity: concentric circles on the white board, what is the probability you get a bull’s eye  Activity: coin toss – if you flip a coin 20 times, then what is the ratio of heads to tails

21.  How are central angles and inscribed angles different and how are they similar?

22.  angle problem practice 1) pg. 181 #6, 8, 10 2) Pg. 181 #16

23.  review for tomorrow’s test and BIG review for common exam  If you find yourself finished with all the problems, correctly, then complete the following:  Define: experimental probability, simulation, sample space, and theoretical probability AND practice parabola stuff using ipad

24.  Explain a math concept that we have discussed and been tested on; assume you are explaining it to a student who will take Geometry next year.

25.  Geometric Proability pg. 668

26.  Prove circles similar

27.  circle angle problem: 1) Radius is 12, what is half the length of the chord? 8

28.  Tangent lines A) With inscribed shapes ◦ Thm. 12-3; if 2 tangent lines that share a common endpoint, then the 2 segments are congruent ◦ Pg. 766 B) Lines & quadrilaterals a tangent line and a radius create a 90 degree angle (p. 762 & 763) a quadrilateral = 360 degrees

29.  Section 12-3  Circle inscribed in a polygon p. 767 #19  P.769 #32

30.  Central angles ◦ The central angle of a circle is the angle based at the circle's center.circle ◦ In other words, the vertex of the angle must be at the center of the circle. ◦ A central angle is formed by two radii that start at the center and intersect the circle itself. ◦ Central Angle = Intercepted Arc ◦ http://www.regentsprep.org/Regents/math/geome try/GP15/CircleAngles.htm http://www.regentsprep.org/Regents/math/geome try/GP15/CircleAngles.htm ◦ http://www.icoachmath.com/math_dictionary/Cent ral_Angle.html http://www.icoachmath.com/math_dictionary/Cent ral_Angle.html

31.  Do you remember formula?  Angle = ½ arc

32.  Is there an activity that involves circles, but also involves probability?  darts

33.  Chapter 12 tangent lines, Pythagorean thm, and arcs  you must complete today, due before you leave

34.  How is your brain improving because you are learning math? Give an example