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## CC Alg II – Polynomial Functions and Their Graphs – by Brett Widman

Our long time friend Brett Widman from West Seneca sent us a great review packet on polynomial functions and their corresponding graphs. We have all seen in the sample problems the clear emphasis on the connection between the equations of these polynomials and their zeros. Brett’s problem set does a great job reviewing this. Here it is!!!

Algebra 2 Writing Polynomial Equations

Thanks Brett for this really great contribution.

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## CC Alg II Polynomial Challenge on Desmos Classroom

A few days ago I posted a really neat activity where kids use the online graphing calculator Desmos to fit 20 polynomial curves based on their zeroes and one additional point. I called it the Great Polynomial Challenge. I made these by creating an image in Desmos, saving it as a GIF file, and then importing it back into Desmos.

To be honest, it was a bit of a pain and the results were good, but not great. Since it was an image, and not an actual graph, zooming in would make it blurry and zooming out would eventually make the polynomial “end.”

Still, I thought it was a great learning experience.

Recently, though, I’ve been playing around with the Desmos Activity Creator. This is a really great tool from Desmos that allows math teachers to create activities where kids can explore, create, model, etcetera. Their award winning are  great examples of activities.

O.k. Maybe they aren’t award winning, yet, but should be.

Anyhow, the point is I converted the Great Polynomial Challenge into a Desmos Activity that you can use with your students and try yourself.

If you’d like to take the Desmos Polynomial Challenge  yourself (please, please, please try it!!!) go to:

Desmos Classroom Student Access

and type in the class code:  w4fv

You don’t even have to put in your real name. Take the challenge and see how you do. I’ll eventually post the answers in a password protected post. Remember, all teachers can get the password by emailing me: Kirk@emathinstruction.com.

Now, if you’d like to have your students try this activity AND you have a Desmos account (you really should get one – it’s quick and easy), click on the following link:

The Polynomial Challenge

You’ll be able to then set up your own “Session” and have your own classroom code (that was that weird w4fv from above).  Once you start a session, then it is basically open forever, or at least that’s how it seems. You’ll be able to see which of your students have done the activity and what results they are getting.

I think the worksheet I posted for the Polynomial Challenge still works well in terms of collecting a “hard copy” of their results. Here’s the worksheet again:

Polynomial Challenge

I hope you take the challenge and let me know what you think about my first official Desmos Activity. I think it does a really good job of allowing kids to dynamically experience the connection between the graphs and equations of polynomials.

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## CC Alg II – The Polynomial Challenge – by Kirk

Take the polynomial challenge! Try to come up with as many equations as you can for the 20 polynomial graphs given in 40 minutes of time.

Here’s the worksheet:

Polynomial Challenge

And here are the links to the challenges. Each is a Desmos graph that you can experiment with to find the correct equation. Hyperlinks are also included on the worksheet, but you can get to each challenge here.

Polynomial Challenge #1

Polynomial Challenge #2

Polynomial Challenge #3

Polynomial Challenge #4

Polynomial Challenge #5

Polynomial Challenge #6

Polynomial Challenge #7

Polynomial Challenge #8

Polynomial Challenge #9

Polynomial Challenge #10

Polynomial Challenge #11

Polynomial Challenge #12

Polynomial Challenge #13

Polynomial Challenge #14

Polynomial Challenge #15

Polynomial Challenge #16

Polynomial Challenge #17

Polynomial Challenge #18

Polynomial Challenge #19

Polynomial Challenge #20

## Reasoning About Radical and Rational Equations

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## Solving Rational Inequalities

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## Solving Rational Equations

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## The Remainder Theorem

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## Polynomial Long Division

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## Complex Fractions

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## Combining Rational Expressions Using Addition and Subtraction

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