At the beginning of my second unit with my Trig kids, I had quickly gone through a graphing lesson when I had to leave them for two days for a training. The first day, I gave the kids a graphing project broken into two parts inspired by projects I've seen on pinterest. The first part of the project was a group portion so that the kids could collaborate before doing the project on their own.

One inspiration gave me the birthday component which I then added into the group requirements.

Another inspiration (Infinite Sums) gave me the paragraph portion as well as the graphs of the polynomials.

Combined, it was the perfect sub plan and gave the kids something to show me when I returned. Of course, the kids who chose to do nothing made it very obvious for me so that it was even easier to grade.

One inspiration gave me the birthday component which I then added into the group requirements.

Another inspiration (Infinite Sums) gave me the paragraph portion as well as the graphs of the polynomials.

Combined, it was the perfect sub plan and gave the kids something to show me when I returned. Of course, the kids who chose to do nothing made it very obvious for me so that it was even easier to grade.

Graphing Polynomials Project

**Part 1:**
The first part of
your graphing assignment will be in groups of 3 – 4. As a group, you will
create a poster illustrating your newfound knowledge of graphing polynomials.
Your posters will need to illustrate a few pieces of information highlighted in
the form of a written paragraph (see below). Each group will choose 5
polynomials to describe. For a sixth
polynomial, you will create your own groups’ polynomial using your birth
months’ numbers as the coefficients. Not only will you need to complete the informational
paragraph for this polynomial, but you will also need to graph the polynomial
by hand.

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 ________________.

Posters will be
collected by the end of the period and they are expected to be complete and
colorful.

**Part 2:**

The second
part of your graphing assignment will be a solo project where you 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 August 13, 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*)=8*x*5 −1*x*4 −3*x*3 +19*x*2 −9*x*+1) Change the signs of the coefficients to make the most interesting graph you can – one that in some way 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 [estimate these using a graphing calculator] 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 poster. 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
Part 1) of your polynomial will be turned in with the visual.

The results......

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ReplyDeleteYOU ARE SO AWESOME! Thanks for these wonderful ideas. I know that you are a blessing to your students! Thanks for some inspiration and motivation to make my high school math classroom a more exciting learning environment!!!!

ReplyDeleteOh my goodness, don't you make me feel special! Don't forget to check out the updated graphing polynomials project where the kids design a water park!

DeleteWhere would I find that idea?

Deletehttp://secondarymissrudolph.blogspot.com/2014/04/graphing-polynomial-project-water-park.html

DeleteIn Part 1, did students choose polynomials to graph, or did you give them 5 polynomials to graph? Thanks for sharing your projects, love them all!!

ReplyDeleteMy teacher has given my class this project.

ReplyDeleteWhy

Why did you do this to me?

What a great idea. Thank you so much!

ReplyDelete