Linear Inequality Interactive Notebook Pages
Towards the terminate of December, I posted virtually my interactive notebook pages for our Algebra 1 unit of measurement on Linear Graphs too 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 real foremost twelvemonth of teaching.
Step 1: Rearrange the equation into slope-intercept form.
Step 2: Use the gradient too y-intercept to create a graph.
Step 3: Determine whether y'all should piece of job a company business or broken line.
Step 4: Determine which agency the graph should endure shaded.
I know that many teachers opt to possess got their students essay a betoken to determine which agency to shade. I've tried this before, too it hasn't worked good for my students. I likewise honour that the method gets confusing when y'all are trying to become backwards. For example, if students are given a graph too asked to write the inequality, figuring out which agency the inequality symbol should face.
Another huge component subdivision inwards this conclusion is that I learn a primarily low-level population that has historically struggled inwards mathematics. Most of them motion into Algebra 1 without a potent agreement of integer operations. I endeavor to remediate this expanse equally nosotros go, simply I don't possess got fourth dimension inwards our schedule to re-teach integer operations from the beginning. When I possess got taught shading yesteryear point-testing before, many students ended upwards getting the shading incorrect because of modest errors amongst positives too negatives. As a result, I similar a shot brand my students graph each inequality inwards gradient intercept shape too then nosotros tin shade higher upwards for greater than inequalities too shade below for less than inequalities.
My students flora my Includes/Excludes posters super-helpful during this business office of the unit!
Next, I made a actually dizzy mistake. Since the foremost pace I possess got my students produce to graph inequalities is to rearrange them into slope-intercept form, I decided to produce a chip of practice. But, here's my dizzy mistake. I should possess got made these inequalities to rearrange too then nosotros could practise remembering to flip the inequality symbol when nosotros multiply or separate yesteryear a negative number. But, I made them a practise booklet amongst equations to rearrange. Oops... I possess got already made myself a authorities annotation to alter this to inequalities for adjacent year.
Here's my authorities annotation for adjacent year. :)
Next nosotros did 2 practise books.
Book 1:
And, this is what I larn for picking random problems. Did y'all notice that all of the graphs ended upwards existence greater than except the terminal one? I was SO frustrated when I realized this! Here's my authorities annotation to create this equally good for adjacent year.
The instant practise majority featured graphing inequalities that involved horizontal too vertical lines.
Our terminal science of the unit of measurement was to write an inequality given a graph. I was super-sick this day, too then I allow students possess got turns coming upwards to the board too walking the course of didactics through 1 of the problems. I didn't possess 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 action which meant I ended upwards amongst a graph where my students couldn't determine the slope. Oops...
Files possess got been uploaded here.
