Projectile Motion Project (Q2)

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Ms. Florczynski
Algebra II
Name:____________________________________________________________________ Date:______________
Projectile Motion Project (Quiz Grade)
In this project, you will create your own projectile motion word problem to model the
function 𝒉(𝒕) = −𝟏𝟔𝒕𝟐 + 𝒗𝒐 𝒕 + 𝒉𝒐 where t is time in seconds, vo is initial velocity,
and ho is initial height. You will be graded on creativity as well as the accuracy and
completeness of your work.
Directions: and specify the initial height and velocity.
1) Create a situation in which you are throwing/launching/dropping an object. Write
out in a few sentences the situation. Include who, what, where, when and why (BE
CREATIVE! See p. 292 and 298 in your text for models and ideas).
2) Write a quadratic function to model the situation using the initial height and
velocity that you create.
3) Find the axis of symmetry. (SHOW ALL WORK!)
4) Find the vertex. (SHOW ALL WORK!) Interpret in a sentence the meaning of the x
and y values within the context of your problem.
5) State whether your parabola will open upwards or downwards and how you know.
6) Graph your function. Be sure to label the axes and title the graph. You may change
the scale of the axes if you want, or create a graph on the computer.
7) Solve your quadratic equation (approximate if necessary). Interpret the solution
within the context of your problem in a sentence.
8) Draw a picture (separate from your graph) modeling the problem. You can print out
pictures from the Internet or draw freehand.
Please remember to keep your projects school appropriate!
Due Date: ____________________________________________________________________
To be handed in on the due date:
- graph
- picture
- lined paper with all work and explanations
- rubric
Each day the project is late is MINUS 10 POINTS!
Missing Rubric is MINUS 4 POINTS!
Ms. Florczynski
Algebra II
Name:____________________________________________________________________ Date:______________
Project Rubric
Not Included
(0 points)
Unsatisfactory
(1 points)
Satisfactory
(2 points)
Proficient
(3 points)
Exemplary
(4 points)
Description of
situation/
Quadratic
Function
No equation is
written and no
situation is
explained
Equation is
written, no
situation
explained.
Equation is
written,
situation is
outlined
Equation is
written and
situation is
explained in a
sentence
Equation is written
and creative
situation is
explained
thoroughly in a
sentence
Calculation of
Axis of
Symmetry,
Vertex, and
min/max
value
Interpretation
of vertex
No key
features are
calculated
All 3 correct with
no work
1 calculated
correctly with
organized
work
2 calculated
correctly with
organized work
All 3 calculated
correctly with
organized work
No
interpretation
given
Interpretation
given, but both
incorrect.
X or Y value
interpreted
correctly
X and Y value
interpreted
correctly
X and Y value
interpreted correctly
and thoroughly in
complete sentences
Graph of
Function
No graph
included
Graph included,
no ruler used,
not in pencil, no
title or labels on
axes
Graph
included,
pencil used,
ruler used,
missing labels
and title
Graph included,
pencil used,
ruler used,
titled and
labeled
Graph included,
pencil used, ruler
used, titled and
labeled, key features
labeled.
Solution and
Interpretation
of Quadratic
Function
No solutions
attempted
Solutions/
approximations
stated, no
interpretation
Solutions
stated and
interpretation
stated, both
incorrect
Solutions stated
and
interpretation
stated, one
correct
Solutions and
interpretation stated
and correct in full
sentences
Picture of
situation
No picture
included
Quickly put
together with no
detail
Some detail,
not in color
Detailed and in
color
Creative, detailed,
and in color
Hand rubric in with project on Due Date = 4 points
Total points from Rubric x 4 =
_____________________________ x 4 =
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