Transcript Trigonometric Art - Village Christian School

Trigonometric and
Conic Art
Barbara Nunley
Trigonometric Art
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This project consists of creating a picture or
design by graphing 6 – 8 trigonometric and
conic functions on top of each other.
Use at least three different types of trig
functions and three conic functions. In other
words, don’t just use 6 sine graphs.
Other types of functions may also be used, in
addition to the trigonometric functions, to add
detail
Trigonometric Art
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Use colored markers to color the appropriate
regions of the graph that correspond to the
domain that you specify.
Additional decoration of the project is
encouraged.
Trigonometric Art
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Mount the colored graph on ½ piece of poster
board with the detailed instructions to complete
the graph next to it.
Please show ALL work, or no credit will be
awarded.
Attach any scratch work to the back of the
poster board.
Trigonometric Art
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For each trig function, determine the amplitude,
period, phase (horizontal) shift, and vertical
shift, and list these on the back of the poster.
Indicate if the phase shift is left or right, and if
the vertical shift is up or down.
Indicate the domain needed to color the graph.
For each conic function, determine the vertex or
center and the equation of the functions.
Trigonometric Art
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Label appropriate x-axis and y-axis values.
Plot enough values to give you nice, smooth
curves for the trig functions used.
Grading Rubric
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Grading Rubric:
80 points will be determined by the accuracy of
each graph.
10 points will be determined by the level of
difficulty of the graphs used.
10 points will be determined by the neatness and
creativity of the project.
Accuracy of Each Graph
Each graph will be graded on the following 5 point scale:
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1 point – graph does not match general shape of that
trigonometric (or other) function
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2 points – graph matches on general shape of the specified
function, but has errors in more than one area (i.e. amplitude,
period, etc.)
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3 points – graph matches on general shape of the specified
function, but may have one error on amplitude, period, etc., or
may not show smooth curve.
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4 points – graph matches the specified function exactly,
showing a nice smooth curve, but does not match domain (if
limited domain is listed)
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5 points – graph matches the specified function exactly, and
is colored in the appropriate domain.
Neatness and Creativity
The overall neatness and creativity of the graph will be determined
on the following 5 point scale:
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1 point – Student did not follow instructions for completing
the project.
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2 points – Majority of the instructions were followed, but
project shows correction of mistakes, erasures or scratched out
areas.
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3 points – Project is free of errors or stray marks, but lacks
creativity
 (is too similar to the example).
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4 points – Project shows creativity and originality, but has
minor errors or stray marks.
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5 points – Project shows exceptional creativity and
originality and shows no errors or stray marks.
Level of Difficulty
The level of difficulty will be determined on the following 5 point
scale:
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1 point – project does not use 6 trigonometric graphs.
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2 points – project uses 6 trigonometric graphs, but does not
include 3 different trig functions.
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3 points – project uses correct variation of graphs, but does
not use graphs with multiple changes (in amplitude, period,
phase & vertical shift)
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4 points – project uses correct variation of graphs and uses
multiple changes within the graphs, but does not use limited
domains.
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5 points – project uses correct variation of graphs with
multiple changes within the graphs and with limited domains.