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

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Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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Page 1: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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

Page 2: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. 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?

Page 3: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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?

Page 4: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

Fireworks

Page 5: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

Parabolas in the Real WorldLocate the parabola in each

pictureThen note the differences in size

and shape of each.

Page 6: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

1 – Water Splash 1 - Fountain

Page 7: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

3 – Satellite 4 – Satellite

Page 9: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

7 - Branch 8 – Beach

Page 10: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

9 – Tyne Bridge 10 – Bridges

Page 11: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

11 – Bridge 12 – San Francisco

Page 12: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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?

Page 13: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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

Page 14: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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

Page 15: Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing Perimeter and Area

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