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

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

Where do you see arcs and angles together?

Basketball Soccer Think of the arc around the net/goal What shot is easier:

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

Angles with circles equation of circle

Inscribed angle Central 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

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

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

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)

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

Finish arcs, angles, discuss parabolas (conic sections),

Inscribed angle Central 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

Lines of symmetry Domain Range Equation of a parabola, Focus Directrix http://www.mathsisfun.com/geometry/parab

ola.html Conic section – simply the intersection of a

plane and a cone

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.

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.

Directrix of a Parabola◦ A line perpendicular to the axis of symmetry used

in the definition of a parabola. 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.

The "general" form of a parabola's equation is the one you're used to, y = ax2 + bx + c — unless the quadratic is "sideways", in which case the equation will look something like x = ay2 + 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.

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

conic sections Parabolas

arc circle problems: pg. 784 #6, 10, 12, 14, 16, and 18

parabola problem (today or Wednesday)

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

dart boards deal with concentric circles & inscribed angles

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

How are central angles and inscribed angles different and how are they similar?

angle problem practice1)pg. 181 #6, 8, 102)Pg. 181 #16

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

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.

Geometric Proability pg. 668

Prove circles similar

circle angle problem:1)Radius is 12, what is half the length of the

chord?

8

Tangent linesA) With inscribed shapes◦Thm. 12-3; if 2 tangent lines that share a common endpoint, then the 2 segments are congruent◦Pg. 766B) Lines & quadrilaterals

a tangent line and a radius create a 90 degree angle (p. 762 & 763)

a quadrilateral = 360 degrees

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

Central angles◦ The central angle of a circle is the angle based

at the circle's center. ◦ 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/geometry/

GP15/CircleAngles.htm◦ http://www.icoachmath.com/math_dictionary/

Central_Angle.html

Do you remember formula? Angle = ½ arc

Is there an activity that involves circles, but also involves probability?

darts

Chapter 12 tangent lines, Pythagorean thm, and arcs

you must complete today, due before you leave

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