quadratics in context

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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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Quadratics in Context. The Pendulum Fireworks Parabolas in the Real World Changing Perimeter and Area. The Pendulum. Watch the first minute and a half of this video: http://www.youtube.com/watch?v=rdSgqHuI-mw Did the pendulum learn about quadratics in high school too?. Fireworks. - PowerPoint PPT Presentation

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Page 1: Quadratics in Context

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

Page 2: Quadratics in Context

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

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

Fireworks

Page 5: Quadratics in Context

Parabolas in the Real WorldLocate the parabola in each

pictureThen note the differences in size

and shape of each.

Page 6: Quadratics in Context

1 – Water Splash 1 - Fountain

Page 7: Quadratics in Context

3 – Satellite 4 – Satellite

Page 9: Quadratics in Context

7 - Branch 8 – Beach

Page 10: Quadratics in Context

9 – Tyne Bridge 10 – Bridges

Page 11: Quadratics in Context

11 – Bridge 12 – San Francisco

Page 12: Quadratics in Context

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

Changing Perimeter and Area1 ft

1 ft1x 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 Perimet

er12345

X Area12345

x

y

Page 14: Quadratics in Context

Changing Perimeter and Area1 ft

1 ft1x 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 Perimet

er1 42 83 124 165 20

X Area1 12 23 94 165 25

x

y

Page 15: Quadratics in Context

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