1. Geometry
11.1 Riding a Ferris Wheel

2. 11.1 Introduction to Circles
Objectives
Review the definition of line segments related to a circle such as chord, diameter, secant and tangent
Review definitions of points related to a circle such as center and point of tangency
Review the definitions of angles related to a circle such as central angle and inscribed angle
Review the definitions of arcs related to a circle such as major arc, minor arc and semicircle
Prove all circles are similar using rigid motion

3. Introduction to Circles

4. Problem 1: Going Around and Around
Read together
#1 Together
Radii: Plural of radius – More than one radius.
Chord: A segment connecting two points on a circle.
Diameter: A chord that runs through the center.

5. Problem 1: Going Around and Around
Secant of a Circle: A line that intersects a circle at exactly two points.
Tangent of a Circle: A line that intersects a circle at exactly one point.
The intersection is called the Point of Tangency.
Collaborate 2-7 (4 Minutes)

6. Problem 1: Going Around and Around
Together #8 (We will go across each row) X X X X X X X X X X X

7. Problem 2: Sitting on the Wheel
Central Angle: The vertex of the angle is at the center of the circle.
Inscribed Angle: The vertex of the angle is on the circle.
Together #1

8. Problem 2: Sitting on the Wheel
Arc of a Circle: A fraction of the circumference
Major Arc: The larger fraction of the circumference
Minor Arc: The shorter fraction of the circumference
Semicircle: Exactly half of a circle
Collaborate 2 a-f (5 Minutes)

9. Problem 2: Sitting on the Wheel
To name a minor arc, use the two endpoints. 𝐴𝐵
To name a major arc, name a third point between the endpoints along the way.
𝐴𝑋𝐵 B A X

10. Problem 2: Sitting on the Wheel

11. Talk the Talk Pg. 848
Collaborate 1-7 (3 Minutes)

12. D F E A B C

13. Formative Assessment Skills Practice 11.1 Vocabulary Pg. 779 (1-12)