Sorting Equations of Circles 2 Projector Resources Projector

Sorting Equations of Circles 2 Projector Resources Projector resources Sorting Equations of Circles 2

Odd One Out Graph A Projector resources Graph B Sorting Equations of Circles 2 Graph C 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 Sorting 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 Sorting Equations of Circles 2 P-3

Working Together 1. Take 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 Sorting Equations of Circles 2 P-4

Sharing Posters 1. Check to see which equations have been placed in different categories from your own. 2. If there are differences, ask for an explanation. If you still don't agree, explain your own thinking. 3. 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 information to think of a quick way of figuring out the number of intercepts for a particular equation? Projector resources Sorting Equations of Circles 2 P-5