This chapter did not turn out as well as it could have…we had state testing in the middle of it, and the distractions and days off from class did not help a lot of my students. It’s nothing I can control, so it is what it is. I changed my organization of the chapter in my notebook a little bit, and tried my best to adjust for all of the interruptions.
I start this chapter with a factoring review since this chapter expects the students to be able to factor any factorable polynomial. I found a great flow chart to include in my notebook on a precalculus blog. I used a few more of his ideas later in the chapter! I love finding resources out there, so hopefully someone else will be able to benefit from my posts as well. I also gave students practice problems to complete after their last test.
The chapter starts with quadratics, a quick review. I’m finding that no matter how much time is spent on these functions, students struggle. It’s a lot to sort out, when to set it equal to zero, when to look for the vertex, etc.
Next, we talked about division and the theorems that utilize the operation. And then some vocabulary terms.
This part of the chapter, students are creating polynomials given some “zeros”. I showed them how to more easily multiply polynomials, or to organize their work a little more using charts. These are honors students, but they appreciated not having to distribute as usual and to try to add up like terms that someone go all over their paper. It’s good that they have as much trouble reading their own work as I do sometimes!
We then go through a few tests that help students to make a challenging polynomial more factorable, and then graph these polynomials. I tried to teach end behaviors using limit notation, to introduce the students to this topic. We will work more with this notation later in the class, it is just meant to be an introduction. During this time, I have students explore the shape of the graphs around the zeros on this WS_Exploring_Polynomial_Functions_with_repeated_linear_fac.
At the end of the chapter, I gave students a worksheet I borrowed from Sam Shah. It gets them thinking about polynomials in reverse, writing equations from the graph. They have to pay attention to the end behaviors, zeros, even y-intercepts. equations from graphs ws