Homework 1 Solving Systems By Graphing Graphic Organizer

My Algebra 1 students just finished our unit on systems of equations and inequalities.  This unit wasn't perfect.  I'd like to include a real-world applications when we solve by graphing.  But, compared to previous years, I feel really good about this unit!  

The unit started out with a divider.  You can learn more about these dividers here. 

Originally, I had planned on breaking this unit into 4 skills.  I actually only ended up breaking it into 3 skills because I combined SY2 and SY4 together.  Of course, I didn't realize this until it became time to start SY4.  All of a sudden, I realized we had already done it!

Here's a close-up of our skills for the unit:

We started by practicing our system writing skills.

Then, we solved systems of equations and inequalities by graphing.

Then, we finished off our unit with solving systems algebraically.

We did four examples together of solving by substitution.  I LOVE how this graphic organizer I made turned out!

When one or both of the equations would be already solved for one of the variables, my students seemed to have a hard time realizing this.  For this problem, they kept asking if we could solve for p.

My students kept wanting to use the variables they had defined in their final solution sentences.  I had to keep telling them to write a sentence that would make their English teacher happy.  I told them I doubted that their English teacher would want to see a variable and an equal sign in their equation!

Next, we explored solving systems by elimination.

When I solve systems, I almost always prefer to solve them by elimination.  I was surprised, then, when I realize the graphic organizer I had made for elimination had more steps than the graphic organizer for substitution.

Even though there are more steps, my students ended up preferring the elimination method, too.

My students were SO happy every time we got to skip a step and put an "X" in the box! 

Files for this unit are uploaded here. 

Я просто не желаю играть вторую скрипку - тем более по отношению к подростку. - Моя жена вовсе не подросток, - возмутился Бринкерхофф.  - Она просто так себя ведет.

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