1. Quadratic Patterns of Change
EQ: What patterns of change characterize a quadratic relationship?

2. Warm-up
Use the FOIL Method:
(x – 3)(x + 4) (x – 6)(x – 4)

3. First answer these…
What pattern of change characterizes linear relationships?
What pattern of change characterizes exponential relationships?

4. Quadratic Patterns of Change
Fig 1
Fig 2
Fig 3
Fig 4
Draw the next two figures in the pattern.

5. Quadratic Patterns of Change
Fig 1
Fig 2
Fig 3
Fig 4
Make a table of the pattern from figure -5 to 5.
Figure # -5 -4 -3 -2 -1 1 2 3 4 5
# of circles

6. Quadratic Patterns of Change
Describe a method for finding the number of circles in the 10th pattern.
Find a rule that can be used to find the total number of tiles in any figure of this pattern.

7. Quadratic Patterns of Change
Can you find another way to view this pattern?