I introduced systems using Mathalicious lesson called "Flicks"
I reformatted their student handout to fit on notebook pages.
As much as I'd LOVE to show you all the glorious math underneath those Mathalicious icons, I don't feel like I should.
But you should definitely go buy a Mathalicious subscription and check it out!
We did solving graphically, by substitution, and by elimination on three different days.
We filled out the pages seen below "Solving a System of Equations By..." and then did the corresponding areas on the next pages: one solution/no solution/infinitely-many solutions.
We when we took solving graphically notes we also did the solving graphically section of each one/none/infinite page.
After we had all the one/none/infinite pages complete we talked about what we noticed and drew some conclusions.
I tied the one/none/infinite of systems to the one/none/infinite scales we did back here.
This worked really well for most students.
We wrapped up the unit with a Systems Project seen below.