1. Equations of Circles 2
14b Equations
of Circles 2

2. Odd One Out
Graph A Graph B Graph C
Each one of these graphs might be considered an odd one out. Choose one and write what properties make it unique.

3. Odd One Out A. (x + 4)2 + (y – 3)2 = 16 B. (x – 6)2 + (y – 7)2 = 25
C. (x – 5)2 + y2 = 25
Each one of these equations might be considered an odd one out. Choose one and write what properties make it unique.

4. 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
Use the table headings to recreate this table on your poster.
The table should COVER your ENTIRE POSTER.

5. Why We're Doing This…
The purpose of this activity is have you engage with each others' explanations and take responsibility for each others' understanding.
Please don't rush into the activity. Spend some time thinking about how you can approach the task.

6. Card Set: Equations 1
Take turns placing the equation cards in the table's categories..
To do this, figure out the coordinates of any intercepts.
You may want to sketch the graph of the equation.
If you place a card, explain how you came to your decision.
Your partner should check your answer using a different method.
You all need to be able to agree on, and explain the placement of every card.
Write some additional information or include a drawing as part of your explanation.
You are to ask each other for help before asking the teacher.

7. Sharing Posters
Check to see which equations have been placed in different categories from your own.
If there are differences, ask for an explanation. If you still don't agree, explain your own thinking.
Once there is agreement, look to see what these equations or their graphs have in common.
What is it about these equations that give them this common graphical feature?
Can you use this to think of a quick way of figuring out the number of intercepts for a particular equation?

8. Card Set: Equations 2
Take turns placing the equation cards in the table's categories..
To do this, figure out the coordinates of any intercepts.
You may want to sketch the graph of the equation.
If you place a card, explain how you came to your decision.
Your partner should check your answer using a different method.
You all need to be able to agree on, and explain the placement of every card.
Write some additional information or include a drawing as part of your explanation.
You are to ask each other for help before asking the teacher.

9. 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