geometry unit 8
DESCRIPTION
10.1 Tangents to Circles 10.2 Arcs & Chords 10.3 Inscribed Angles 10.4 Other Angle Relationships in Circles 10.5 Segment Lengths in Circles 10.6 Equations of a Circle. Geometry Unit 8. Chapter 10 CIRCLES. Lesson 1. - PowerPoint PPT PresentationTRANSCRIPT
Geometry Unit 8Chapter 10 CIRCLES
10.1 Tangents to Circles 10.2 Arcs & Chords10.3 Inscribed Angles10.4 Other Angle Relationships in Circles 10.5 Segment Lengths in Circles 10.6 Equations of a Circle
Do Now:Find the distance between the two coordinates A=(3,4) and B = (5, 3)
Pythagorean Theorem C2 = A2 + B2
Distance Formula Distance = 2 + 2
Equation of a circle Radius= 2 + 2
Exp1 – 4
Lesson 1
HOMEWORK Page 638 – 639
#’s 1 – 39 odd
Do Now:Find the equation of a circle if the center is at (3, -4) and the radius is 5
IN CLASS 10.1 Tangents Understand 10 definitions Page
595 Page 596
Internally / Externally Tangent Page 597
Perpendicular Tangents Exp: 4 - 5
Page 598 Two Tangent Theorem Exp 6-7
Page 599 #’s 1 – 15 odd Page 599 – 600
#’s 18 – 25 ALL
Lesson 2
HOMEWORK Page 599 #’s 1 – 15
odd Page 599 – 600
#’s 18 – 25 ALL #’s 27 – 39 ODD
Do Now:Page 600 problem # 38Radius =12Is BA tangent to circle “C”?
IN CLASS 10.2 Arcs and Chords Understand be able to draw
Minor and Major arcs Measures of Minor and Major Arcs Semi Circle Arc addition
Exp 1 – 3 Page 607 #’s 1 – 11 ALL Page 607-8 #’s 12 – 38 all
Lesson 3
HOMEWORK Page 607-8 #’s 12 – 38
all The Moon is 0.3844 X106
Km from the Earth. It takes 655.72 hours to make 1 revolution around the Earth. How fast is it going around the Earth?
168
12A
B
C
Do Now:Honors and Warningswith your Parents
Lesson 4 SFW
HOMEWORK: Find the Volume of the Earth Find the Surface Area of the Earth
C= 2πr Velocity = distance / time
GOALS: Why do we learn this language called Math/Geometry?AICR
75% BE ATTENTIVE: READ THE DIRECTIONSList out the information you have. DRAW a picture
80% BE INSIGHTFUL: Work problem through to CONCLUSIONWhat should the answer look like? If in doubt; take a best guess
90% BE CRITICAL: CHECK ALL your answers. Put answers back into original problem and see if it works
100% BE RESPONSIBLE: Fix errors. “DO” (AICR them) EVERY problem
IN CLASS How fast is the Earth traveling
(in a circle) around the Sun if the distance (R) from the Sun to the Earth is 93,000,000 miles and it takes 8,766.24 hours to make one revolution?
How far has the Earth traveled in 3 months (90 days).
There are 365 days in a year.
Lesson 4 SFW
HonorsHow would you ensure that the Men’s Lacrosse field you are supposed to lay out is in fact a 60 x 110 yard Rectangle?
You have 4 stakesYou have a 700 yard roll of stringYou have a 200 yard tape measure
H
R
Do Now:Find the measure of a major arc of a circle with a radius of 5.00 inches if the major arc angle is 30.0 degrees?
IN CLASS Review 10.2 Page 608
#’s 33 and 34 find the Arc and Arc LENGTH
Honors 43 – 47 Odd
10.3 Exp 1, 2, 3 (4 Honors) Understand be able to draw
Inscribed Angle and Intercepted Arc Congruent Arc = congruent Inscribed angles
Page 616#’s 1 – 8 ALL Page 617 #’s 9 -29 all
Lesson 3 Two PartsInscribed angles
HOMEWORK Page 616#’s 1 – 8 ALL Page 617 #’s 9 -29 all Page 619 #42, 43 Page 620 # 48 – 62
ALL
Do Now:How Fast are you riding your Bike?Wheel diameter:Pedals per Minute:pedal to wheel ratio:
IN CLASS
10.4 Exp 1, 2, 3 Understand be able to draw
Interior Chords intersections Measures of Angles formed by 2 chords
Page 624#’s 9 – 33 Odd
Lesson 3 “other” circle angles
HOMEWORK Page 624#’s 8 – 34 ALL
Do Now:The distance from the Moon to Earth is 384400 Kilometers. Assume that the Moon travels in a circle around the Earth. The Moon takes: 27 days, 7 hrs, 43 min OR 655.72 hours OR 2.36 X106 seconds to make one revolution, a) How far does the moon travel in that one revolution? Dist= _____________ Km
IN CLASS
10.4 Exp 1, 2, 3 Understand be able to draw
Interior Chords intersections Measures of Angles formed by 2 chords
Page 624#’s 9 – 33 Odd Page 624#’s 40 – 51 ALL
Lesson 4 “other” circle angles
HOMEWORK Page 624#’s 8 – 34 ALL Page 624#’s 40 – 51
ALL
Solar Eclipse Radius of the Sun: 698,500
km Radius of the Moon: 1,738 km
Orbital distance from the Sun to Earth :149.6 X106 Km (1 A.U.)
Orbital distance from the Moon to Earth :0.3844 X106 Km
Review Write the equation for the following circles: Radius is 3.5 Center is at (2,0)
3.52 = ( x – 2 )2 + (y – 0 )2
b) Center is at (2, 4) and it goes through the point (8, 10)
R2 = ( x – 2 )2 + (y – 4 )2
R2 = ( 8 – 2 )2 + (10 – 4 )2
R2 = ( 5 )2 + (6 )2 = 25 + 36 = 61