Math Project

Math 30-1 Final Project – The ART of Mathematics

Part 1: Your Birthday Polynomial

Create your personal birthday polynomial. Use the digits of the month, day and 4 digit year of your birth

– in order – as the coefficients of the polynomial. (For example: If your birthday is August13, 1991, then

use the digits 8131991 in that order) The degree of your polynomial must be a whole number greater than

2 and less than 6. (Ex.𝑓(𝑥) = 8𝑥5 − 1𝑥4 − 3𝑥3 + 19𝑥2 − 9𝑥 + 1 ) Change the signs of the coefficients to make the most interesting graph you can – one that

in someway reflects you.

You will then need to analyze the polynomial by finding the following:

1) domain and range

2) the degree

3) all of the zeros

4) describe the end behavior

5) the relative extrema [estimate these using a graphing calculator]

Lastly, you must make a Presentation of Your Birthday Polynomial on either a nice piece of paper or

digitally, if you prefer. Be creative and original. How does the graph of this polynomial reflect who you

are? Present your birthday polynomial neatly, accurately and artistically. A written analysis (in paragraph

form such as in italics below) of your polynomial will be turned in with the visual.

My graph is a ____ degree polynomial with end behavior that behaves such

that _______________________________. It has solutions at ________. A possible equation for it

is _______. It has ____ minimums and ____ maximums. It’s domain is _________________ while an

approximate range is ________________.

Basic Part 1 rubric

Math Accuracy /5

Quality of work shown /3

Spelling/grammar/quality of written responses /2

Part 2: Create a picture of an object

You will create recognizable drawing using equations you’ve studied in the course.

Requirements:

Your drawing must contain:

1. The drawing must be recognizable! As in, we all must be on the same page and know what you are

drawing – be creative and original! Once you have drawn your required functions, you may add

additional touches to make your final product more distinguishable. (This is NOT abstract art)

2. The picture must include a minimum of 8 equations.

Each equation will correspond to a “part” of the final drawing (you will need to restrict domains/ranges –

thus, include these in your equations).

3. There are several required functions that must be found in your piecewise art: Absolute Value- Linear-

Polynomials of degree greater than 3 - Radicals- - Rational – exponential/logarithmic

4. Use colored pencils/markers to identify which “part” goes with which function.

Warning:

Make sure that you practice before diving into your final product. Your work should be done on graph

paper. What are you going to make an image of?

List the equations you used to create your picture in the table below. Please write neatly to make sure

your equations are not misunderstood! In the color column – just scribble the color you will use to draw

that equation on your graph

Color Equation Domain/Range

Part 3: A work of Art

Goal: Use at least 3 different trigonometric parent function graphs to create a work of art.

Requirements:

1) Art must include a minimum of 3 different trig parent functions showing 2 or more periods of each function. At least two of the functions must include shifts (vertical or horizontal or both).

At least one function must have a period other than 2π.

2) Art work should fill at least an 8.5 x 11 sheet of paper. 3) Draw graphs on separate sheets of graph paper with the x and y axis units the same for ALL

graph.

4) One section of the presentation sheet must display 3 graph paper graphs – one for each trig function. You must label the axes and units and you must have the equation of the trig function.

5) The chart below must be completed and submitted in your presentation. It may be typed or hand written. The domain/range listed should be only what was needed for your art work not the

whole function.

6) The bottom half of the poster should be an art work combining the 3 or more graphs. It should have a title, use at least 5 colors, and be neat. The artwork should consume at least half of your

poster. This portion should actually look like a creation of some sort… not just 3 graphs on the

same paper.

7) Creativity, neatness, and originality will be graded as well as content of the art.

F(x) Amplitude Period Vertical

Shift

Horizontal

Shift Domain Range

y =

y =

y =

y =