Parabola Project - Somerset Academy

 

The
 goal
 for
 this
 project
 is
 to
 first
 create
 your
 own
 parabola
 with
 unique
 

features.
 Then,
 you
 will
 find
 two
 examples
 of
 a
 parabola
 in
 real
 life.
 
After,
 using
 GeoGebra
 you
 will
 try
 to
 find
 an
 equation
 that
 closely
 

approximates
 the
 shape
 of
 one
 of
 your
 real
 life
 parabolas
 you
 have
 
chosen.
 For
 this
 project,
 you
 will
 be
 creating
 a
 poster
 that
 goes
 through
 
the
 step-­‐by-­‐step
 procedure
 needed
 to
 draw
 the
 graph
 of
 a
 quadratic
 

equation.
 
 

 
Directions:
 
 


 
 
Create
 your
 own
 parabola.
 
 

Find
 2
 real
 life
 examples
 of
 real
 life
 parabolas.
 
 
Create
 a
 close
 approximation
 of
 one
 of
 the
 real
 life
 parabolas
 you
 have
 
chosen.
 

This
 project
 can
 be
 worked
 in
 pairs
 (2)
 
 

 

Using
 your
 quadratic
 equation,
 you
 must
 complete
 the
 following
 task:
 

 

1. Before
 creating
 your
 poster,
 you
 must
 find
 the
 basic
 information
 

about
 the
 graph
 of
 your
 quadratic
 equation.
 You
 must
 find
 the
 
information
 listed
 below:
 

a. Does
 the
 parabola
 open
 upward
 or
 downward?
 How
 can
 
this
 be
 determined
 from
 the
 equation?
 

b. What
 is
 the
 equation
 for
 you
 axis
 of
 symmetry?
 

c. What
 are
 the
 coordinates
 of
 the
 vertex
 of
 your
 parabola?
 
d. What
 is
 the
 maximum/minimum
 value
 of
 your
 parabola
 and
 

how
 was
 it
 determined?
 

e. What
 is
 the
 y-­‐intercept
 of
 your
 parabola?
 
f. What
 are
 the
 roots/zeros/x-­‐intercepts
 of
 your
 parabola?
 

i. Solve
 by
 factoring
 
g. How
 do
 you
 find
 other
 points
 on
 the
 parabola?
 
h. Using
 the
 vertex,
 put
 the
 quadratic
 equation
 in
 Standard
 

form.
 
 
i. Graph
 the
 parabola
 on
 your
 graph
 paper.
 

2. Find
 two
 examples
 of
 a
 parabola
 in
 a
 real
 life
 setting.
 
 

3. Create
 a
 quadratic
 equation
 that
 close
 approximates
 one
 of
 the
 
real
 life
 parabolas
 you
 have
 chosen.
 
 

4. Create
 your
 poster
 board.
 
 
a. Everything
 you
 have
 found
 must
 be
 displayed
 on
 your
 

poster
 board
 
b. Creativity
 will
 be
 a
 HUGE
 factor
 of
 your
 grade.
 

 


 

 

 


 

 


 

Examples:
 
 

Direction
 of
 Opening
  1
 point
 
 

Axis
 of
 symmetry
 
  1
 point
 
 

Vertex
  2
 point
 
 

Maximum/Minimum
 Value
  1
 point
 
 

Y-­‐Intercept
  1
 point
 
 

Zeros/Solutions/X-­‐
 
 

Intercepts
  2
 point
 

-­‐ By
 Factoring
  2
 point
 

Standard
 Form
  1
 point
 
 

Graph:
 
 
 

-­‐ The
 Points
 are
  1
 point
 

graphed
 Correctly.
 
 


 


 

2
 Real
 Life
 Examples
 

2
 Photos
 are
 included
 
  2
 point
 
 

The
 equation
 of
 the
  4
 point
 
 

parabola
 resembles
 one
 of
 

your
 pictures
 


 

Poster
 Board:
 These
 are
 the
 required
 items.
 

All
 Items
 are
 include
 
  2
 point
 
 
Creativity
 
  5
 point
 
 

 
Total
 Points
 Earned:
 

  (Out
 of
 25)