Bell Ringer 11 30 15 Graph A Graph

Bell Ringer 11 -30 -15 Graph A Graph B Graph C Determine why each graph could be considered the “Odd Man Out”. 1. How does A differ from B & C? 2. How does B differ from A & C? 3. How does C differ from A & B? Projector Resources Equations of Circles 2 P-0

Circles • Number the Circle Unit Graphic Organizer from 1 to 15. • We will fill in # 1, 2, 5, 8, 13, and 14 today. Projector Resources Equations of Circles 2 P-1

Odd One Out Projector Resources A. (x + 4)2 + (y – 3)2 = 16 B. (x – 6)2 + (y – 7)2 = 25 C. (x – 5)2 + y 2 = 25 Equations of Circles 2 P-2

Categorizing Equations No x-axis intercept One x-axis intercept Two x-axis intercepts No y-axis intercept One y-axis intercept Two y-axis intercepts Projector Resources Equations of Circles 2 3

Working Together 1. Take it in turns to place the equation cards in one of the categories in the table. • • To do this, figure out the coordinates of any intercepts. You may want to sketch the graph of the equation. 2. If you place a card, explain how you came to your decision. 3. Your partner should check your answer using a different method. 4. You all need to be able to agree on, and explain the placement of every card. 5. Write some additional information or include a drawing as part of your explanation. 6. You are to ask each other for help before asking the teacher. Projector Resources Equations of Circles 2 P-4

Get a Circle in Standard Form • Ex 1: x 2 + y 2 – 4 x + 8 y – 5 = 0 • Ex 2: 4 x 2 + 4 y 2 – 16 x – 24 y + 51 = 0 • Homework Problem (add to back of Angle Relationships in Circles): • 20. x 2 – 2 x + y 2 + 8 y – 8 = 0 Projector Resources Equations of Circles 2 P-5