WOODY'S

WONDERFUL

WORLD OF

MATHEMATICS

"THE QUEEN OF OF ALL SCIENCES"


BIRTHDAY POLYNOMIAL PROJECT

DUE

MARCH 31


STUDENT ACCESS LINK TO MVP MATERIALS/WORKBOOK

Resources: http://canvas.wcpss.net/student-faqs.htm

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ADDITIONAL MVP RESOURCES FOR PARENTS AND STUDENTS

https://sites.google.com/wcpss.net/k-12mathematics

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ADDITIONAL MATH RESOURCES:

http://patrickjmt.com/ (Assorted by topics)

https://www.khanacademy.org/math/math3

http://aschademath.weebly.com/





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INSTRUCTIONS FOR SUBMITTING PROJECT


DUE TO OUR CURRENT SITUATION, I am making the birthday project optional. If you have done the project or would like to do the project for extra credit to count on your 3rd quarter grade, you may do so following the below instructions for submitting it to me.

Instructions for turning in the project.

1. Follow directions for making the project

see website for directions in case you misplace instructions

https://sites.google.com/wcpss.net/lwoodard/home

2. Once you have completed project,

a. Take a picture of you holding the project.

b. Take a picture of the project itself

c. Take a picture of each 8.5 x 11 section of the project. The photo needs to

show clearly your work so I am able to grade for accuracy

EMAIL ALL OF #2 a, b, c in ONE EMAIL TO lwoodard@wcpss.net.

KEEP PROJECT AVAILABLE IN CASE I HAVE QUESTIONS

Remember:

assignment is optional, will count as extra credit

Will count as a test grade

Must be submitted on or before APRIL 15


REVIEW OF SKILLS needed as of April 13.docx

The Birthday Polynomial Project

Due: MARCH 31

YOU MAY TURN PROJECT IN EARLY

WILL BE COUNTED AS A TEST GRADE.

**If your project is not turned in on the due date you will lose 10 points a day, projects will not be accepted after APRIL 2.

NOTE: If you are on campus on 3/31 your project must be turned in - if you check out early, go on a field trip, make arrangements to have the project turned in or it will be counted late.

Objective:

To determine the end behavior of various polynomials.

To find a polynomial using your birthdate that represents you. T

Process:

1. Write the digits of your birthday using month, day, and four digit year to create factors for a polynomial. You must have at least four non zero factors with a minimum of a 5th degree polynomial..

For example,

January 31, 1974 ordered birthday digits are “01311974”.

March 24, 1981 ordered birthday digits are “03241981 “

Possible factors could be

i. f(x) = ( x+0)(x+3)(x-2(x-4)(x+1)

ii. f(x) = ( x+0)(x-3)(x+24)(x-1)(9x-8)(x+1)

You can leave out some digits, use either + or - in your factors; experiment with your polynomial in desmos until you get a shape you like. Make sure you can see all the features of the polynomial.

2. Create an account on desmos.com using your school email so you can save your creations. Change the signs of your terms to change the shape of your birthday polynomial. Try to create a polynomial function with some turning points. Try a few different sign changes before you decide. Using Desmos, you can save each polynomial and return back to them.

This youtube video shows an example of how to use desmos to find the “perfect” polynomial. https://youtu.be/MYV9_ETd3dM

YOUR POSTER SHOULD CONTAIN:

Poster should be titled with: Polynomial in factored form

f(x) = ( x+0)(x-3)(x+24)(x-1)(9x-8)(x+1)

Your birthday in the form dd/mm/yyyy

03/ 24/1981

1: Computer Generated Graph on DESMOS –

adjust axis so all minimum, maximums, and scale can be seen (8.5x11 in)

2: On a separate sheet of paper show the following:(8.5x11in)

(when necessary - round everything to three decimal places)

● Degree

My birthday polynomial has a degree of :

● Zeroes and their multiplicity

The zeros of my birthday polynomial are:

● Y-intercept as an ordered pair

● The y-intercept of my birthday polynomial:

● Domain and range in correct interval notation

● Domain:

● Range:

● Minimum and Maximums as ordered pairs

My birthday polynomial has the following:

Relative minimum (s):

Relative maximum (s):

● End behavior for my birthday polynomial is: (correct notation)

As x → - ∞,

As x → ∞,

3: Hand drawn sketch of your graph (8.5 x 11 in paper) turned into an art design to represent you/your activities, etc. The sketch must show the polynomial, must be colorful , artistic , accurate , and neat

Have a title that reflects your design - (Not just My Polynomial)

4: A complete sentence explaining some of the features found in creating your polynomial.

5: Put a copy of your polynomial project on your digital portfolio with a three sentence reflection of what you learned or noticed about characteristics of polynomials.