Quadratics in Context a. The Pendulum b. Fireworks c. Parabolas in the Real World d. Changing...
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Transcript of 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