Quadratic Patterns of Change

EQ: What patterns of change characterize a quadratic relationship?

Warm-up Use the FOIL Method:

1.(x – 3)(x + 4) 2. (x – 6)(x – 4)

First answer these… What pattern of change characterizes linear

relationships?

What pattern of change characterizes exponential relationships?

Quadratic Patterns of Change

Draw the next two figures in the pattern.

Fig 1Fig 2 Fig 3 Fig 4

Quadratic Patterns of Change

Make a table of the pattern from figure -5 to 5.

Figure #

-5 -4 -3 -2 -1 0 1 2 3 4 5

# of circles

Fig 1Fig 2 Fig 3 Fig 4

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.

Quadratic Patterns of Change

Can you find another way to view this pattern?