quadratics in context a. the pendulum b. fireworks c. parabolas in the real world d. changing...

Quadratics in Contexta. The Pendulumb. Fireworksc. Parabolas in the Real Worldd. Changing Perimeter and Area

The PendulumWatch the first minute and a half

of this video:◦http://www.youtube.com/watch?v=rd

SgqHuI-mwDid the pendulum learn about

quadratics in high school too?

FireworksWatch some of this video:

◦Fireworks are timed with the music.◦http://www.youtube.com/watch?v=d

yaNPsHWDes&feature=relatedHow do fireworks know anything

about quadratics?

Fireworks

Parabolas in the Real WorldLocate the parabola in each

pictureThen note the differences in size

and shape of each.

1 – Water Splash 1 - Fountain

3 – Satellite 4 – Satellite

5 - Cone 6 – Basketball Bounce

7 - Branch 8 – Beach

9 – Tyne Bridge 10 – Bridges

11 – Bridge 12 – San Francisco

Changing Perimeter and Area

1 ft

1 ft

1x ft

1x ft

What happens to the area and perimeter of the square when you multiply each dimension by a scale factor of x?

Changing Perimeter and Area1 ft

1 ft

1x ft

1x ft

What happens to the area and perimeter of the square when you multiply each dimension by a scale factor of x?

Fill out a table and graph your results.

X Perimeter

1

2

3

4

5

X Area

1

2

3

4

5

x

y

Changing Perimeter and Area1 ft

1 ft

1x ft

1x ft

What happens to the area and perimeter of the square when you multiply each dimension by a scale factor of x?

Fill out a table and graph your results.

X Perimeter

1 4

2 8

3 12

4 16

5 20

X Area

1 1

2 2

3 9

4 16

5 25

x

y

Changing Perimeter and Area

1 ft

1 ft

1x ft

1x ft

What does the area of a square have to do with quadratic functions?

x

y