Systems of Equations Unit Plan

During this years MTBoS blogging initiative, I used the share the love prompt to capture some of the things I wanted to use and remember for teaching the quadratics unit. I am going to try to continue doing something similar to keep links and ideas for other units as well. I am really terrible about keeping all the activities I have used in the past or new things I want to try so this way I have an electronic record and I can share idea with other math people:

We are knee deep into a systems of equations unit in one of my Algebra classes. So far we’ve done the Systems of Equations Launch which I wrote about here. Which led into graphing systems. At the bottom of that post I wrote how I would adapt it next year by adding in some lines that never cross or end up being the same. Since I hadn’t done that with the launch, I used that idea for the warm-up the next day.

I projected a Desmos graph with a few different lines and told them that the battleship path was the red line. They were tasked with estimating mine placement for the other 4 lines.

systems

This quickly brought up the “missing” orange line and the inability to lay a mine on the green path. We discussed possible numbers of solutions to a linear system then I had them sketch ideas for a system that could have two solutions.  Afterwards they did some more practice with graphing to find solutions. And ended by having the students create scenarios were you’d care about the intersection and then write up a problem which would fit that story. I collected them. Some will turn into warm ups or lagged review and some will end up  on quizzes or the end of unit assessment.  I’ve been working over the last few years to incorporate student generated problems. They seem to get excited about the possibility and its improved their problem writing because they want me to use theirs. Continue reading “Systems of Equations Unit Plan”

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Quadratics: Sharing the Love MTBoS Blogging Initiative

Explore the MTBoS prompt for the week is to share the love and the resources from other great bloggers. I wanted to do that by collecting some of the blog posts that will help inform the next unit I’ll be teaching (added, bonus, I’ll be able to find them easily when the planning begins in earnest). Algebra 1 starts semester 2 off right with a unit on quadratics. It is usually one of the more challenging ones for my students, but I have grown to really enjoy teaching it both here and in my third year math class which also has a quadratics unit with a bit more depth. Continue reading “Quadratics: Sharing the Love MTBoS Blogging Initiative”

Adapting for Discourse

In one of my classes (Bridge to College) there are sets of developed lesson plans that address the standards for the course. Because of agreements with the community colleges in our state, I do have to stick fairly closely to the outline provided. Luckily, the lessons themselves are pretty well thought out and have a huge focus on the practice standards and the idea of more than one right way to solve problems approach that I like to employ in my other classes.

I do, however, take the opportunity to make small additions or adjustments to further the opportunity for student discourse. Continue reading “Adapting for Discourse”