It's Christmas Break! My Algebra 1 students are almost done with our unit on Linear Graphs and Inequalities. We've gone through all but the last two skills which are the "Inequalities" part of "Linear Graphs and Inequalities." I thought I would take advantage of this time on break to share all the notebook pages we have done so far for linear graphing. Once we've done the pages for inequalities, I will share them in a later post!
Our unit started out with a divider:
The backside of the divider has our 6 SBG skills for the unit.
Here's a close-up of my skills list:
Notes on finding slope and intercepts:
This is the first year I haven't shown "The Adventures of Slope Dude" in class. I didn't have a working projector/SMARTBoard for almost two months, so this affected a lot of how I did things in my classroom. The majority of my kids had already seen the video in their middle school math class.
My students did NOT want to do algebra to solve for the non-integer x-intercepts! Instead, they just wanted to estimate. I guess it didn't help that the examples I picked crossed half-way between two integers, so their estimates always ended up being correct. Next time, I will make an equation that crosses at something like 1.2.
Up next: interpreting slope and intercepts
Types of Lines (Parallel/Perpendicular/Neither) Foldable:
Full disclosure: we spent an entire class period playing with making parallel and perpendicular lines on our coordinate plane geoboards BEFORE we did this foldable. So, my students discovered relationships between the slope and y-intercept of these types of lines instead of me just telling them. In the past, I've been guilty of just telling my students things. This year, I'm trying to do a better job of helping them to discover these things.
Things I want to change with this file in the future:
1. Give them nastier equations to rearrange.
2. Pre-type parallel/perpendicular/neither so they can simply circle the correct word.
Forms of Linear Equations (Slope-Intercept, Point-Slope, Standard) Foldable:
I love the circles I gave students to show where values should be plugged into each form. Every year, I have students who try to plug in values for x and y in the equation, too.
I loved the circles so much, that I incorporated them into my next graphic organizer, too. That turned out to be a mistake that I need to fix before teaching this again!
For example, students might be given a graph.
Or the slope and a point.
Or the slope and an intercept.
Or a table.
We worked together to figure out what we had enough information for at any point in time.
As you can see, I had real trouble trying to fit my fractional slope in that tiny circle I gave myself. Next year, I think I'll type blanks ____ instead of circles. They were just TOO small to write in!
Some of the problems required more work than others, especially to rearrange equations from one form to another. We did this on the back of each card.
Another thing I'm proud of is the fact that I required my students to write a parallel and perpendicular line. I think a big problem I've had in the past with teaching parallel and perpendicular lines is that we did them for a day or two and that was it. This year, I'm trying to incorporate them throughout the unit. This is leading to a much deeper and lasting understanding!
This next foldable was created by my husband! I wasn't feeling well, and he didn't have any work to do for school the next day. So, he so kindly offered to create a foldable for me so I could rest. I really do have the best husband!
We also did a bit of practice examining equations to see how the slope and y-intercepts changed.
Files are uploaded here!