Instead of lecturing my students on how to solve a system of linear equations using substitution, as I used to do, I now start class with a mini-lesson (15-20 minutes in length) to go over just the main idea of what they will be learning about today. I include two or three example problems to make sure they get the main idea:
Ex 1: y = 2x+3; 3x+4y=23 (x=1, y = 5)
Ex 2: 3x+y = 14; 2y–5x= –16 (x = 4, y = 2)
Ex 3: y = 2x + 7; y = 5x – 8 (x = 5, y = 17)
As soon as the mini-lesson is over, I set them to task on this worksheet. I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
I expect my students to show their work on a separate sheet of graph paper for this activity.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Immediately before this worksheet, I use the assessment named 'Algebra 1 Individual Test Equations Relations and Graphs Fall 2013 two versions' (http://www.teacherspayteachers.com/Product/Algebra-1-Individual-Test-Equations-Relations-and-Graphs-Fall-2013-two-versions-1105831
), and immediately after this worksheet, I use the worksheet named 'Solving Systems by Elimination Part 1 Fall 2013' (http://www.teacherspayteachers.com/Product/Solving-Systems-by-Elimination-Part-1-Fall-2013-1125121