# Algebra 1

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Algebra 2
Where does the water go?

In our everyday world we can find many mathematical
ideas used, but very seldom think of the math shown by the
picture. One of the most important Algebra 2 ideas is use
of quadratic relationships and their graphs.

Attached are a few pictures that show quadratic
relationships.

Part 1
1. In order to find the “equation of the parabola” shown in the
picture, we will need to place a grid over the top of the
picture.

2. Now identify any specific points important to finding the
equation of the quadratic.

3. Algebraically determine the quadratic equation that would
“fit” the relationship in the picture.

4. How far is it between the two ends of the water’s path?

5. What height would we have to go in order to reach the top of
the arc?

Teacher Page
Teacher Page
Teacher Page
Part 2
1. Find a picture of something that also provides a
parabolic shape. You can take a picture of something
that shows a parabolic shape or find a picture on the
internet. Going to google images, you can find quite
a few different pictures that fit the description.
2. Find the equation that best matches the picture.
3. Tell me something specific about the picture and its
relationship to a parabola. Example: What is the
distance to the highest part of the curve to the
ground? How far is it between the widest part of the
parabolic curve?

Teacher Page
Algebra 2
How far is it to the other end of the rainbow?

In our everyday world we can find many mathematical
ideas used, but very seldom think of the math shown by the
picture. One of the most important Algebra 2 ideas is use
of quadratic relationships and their graphs.

Attached are a few pictures that show quadratic
relationships.

Part 1

6. In order to find the “equation of the parabola” shown in the
picture, we will need to place a grid over the top of the
picture

7. Now identify any specific points important to finding the
equation of the quadratic. Students can identify any three
points on the parabola to calculate their equation. Many
of them will use the vertex and another point. Others
will use the x-intercepts and another point.

8. Algebraically determine the quadratic equation that would
“fit” the relationship in the picture.

9. How far is it between the two ends of the water’s path?

10. What height would we have to go in order to reach the top of
the arc?
If students use the grid that is on the pictures, I have given
possible answers for each picture. The equations are in
standard form:
y = -2.13x2 + 18.97x – 32.61
Possible equation: y = -0.321x2 + 3x – 2.18
Here is another photo that could be used if you don’t have
the time or availability of computer use.
Possible equation: y = -12.92x2 + 145.54x – 405.75
Part 2
4. Find a picture of something that also provides a
parabolic shape. You can take a picture of something
that shows a parabolic shape or find a picture on the
internet. Going to google images, you can find quite
a few different pictures that fit the description.
5. Find the equation that best matches the picture.
6. Tell me something specific about the picture and its
relationship to a parabola. Example: What is the
distance to the highest part of the curve to the
ground? How far is it between the widest part of the
parabolic curve?

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 views: 3 posted: 10/3/2012 language: English pages: 10
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