Linear Inequality Interactive Notebook Pages

Towards the halt of December, I posted close my interactive notebook pages for our Algebra 1 unit of measurement on Linear Graphs as well as Inequalities. However, nosotros didn't start linear inequalities until AFTER Christmas. Here are our notebook pages for linear inequalities.

Here is a graphic organizer I designed to summarize the steps for graphing linear inequalities. It is a re-design of a graphic organizer I designed during my really initiative of all twelvemonth of teaching.

Step 1: Rearrange the equation into slope-intercept form.

Step 2: Use the gradient as well as y-intercept to create a graph.

Step 3: Determine whether you lot should usage a enterprise work or broken line.

Step 4: Determine which agency the graph should live on shaded.

I know that many teachers opt to own got their students examine a indicate to determine which agency to shade. I've tried this before, as well as it hasn't worked good for my students. I too uncovering that the method gets confusing when you lot are trying to become backwards. For example, if students are given a graph as well as asked to write the inequality, figuring out which agency the inequality symbol should face.

Another huge component subdivision inwards this determination is that I instruct a primarily low-level population that has historically struggled inwards mathematics. Most of them larn into Algebra 1 without a rigid agreement of integer operations. I elbow grease to remediate this expanse equally nosotros go, precisely I don't own got fourth dimension inwards our schedule to re-teach integer operations from the beginning. When I own got taught shading past times point-testing before, many students ended upwards getting the shading incorrect because of modest errors alongside positives as well as negatives. As a result, I straight off brand my students graph each inequality inwards gradient intercept shape then nosotros tin shade inwards a higher house for greater than inequalities as well as shade below for less than inequalities.

My students constitute my Includes/Excludes posters super-helpful during this purpose of the unit!

Next, I made a actually featherbrained mistake. Since the initiative of all stride I own got my students produce to graph inequalities is to rearrange them into slope-intercept form, I decided to produce a fleck of practice. But, here's my featherbrained mistake. I should own got made these inequalities to rearrange then nosotros could exercise remembering to flip the inequality symbol when nosotros multiply or carve upwards past times a negative number. But, I made them a exercise booklet alongside equations to rearrange. Oops... I own got already made myself a complaint to modify this to inequalities for adjacent year.

Here's my complaint for adjacent year. :)

Next nosotros did 2 exercise books.

Book 1:

And, this is what I larn for picking random problems. Did you lot notice that all of the graphs ended upwards beingness greater than except the final one? I was SO frustrated when I realized this! Here's my complaint to create this equally good for adjacent year.

The minute exercise mass featured graphing inequalities that involved horizontal as well as vertical lines.

Our final science of the unit of measurement was to write an inequality given a graph. I was super-sick this day, then I allow students accept turns coming upwards to the board as well as walking the bird through i of the problems. I didn't own got to produce much at all because the students caught most of the mistakes of their peers.

I wasn't super careful when picking graphs for this activeness which meant I ended upwards alongside a graph where my students couldn't determine the slope. Oops...

Files own got been uploaded here.