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

description

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

Transcript of Quadratics in Context

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

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3 – Satellite 4 – Satellite

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7 - Branch 8 – Beach

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9 – Tyne Bridge 10 – Bridges

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11 – Bridge 12 – San Francisco

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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