For this project, I chose to focus on standard 10 in the Expressions and Equations domain for 8^th grade. I chose this standard because there are many ways teachers can ensure each part is met using technology and pencil paper methods.

The standard is as follows:

Grade 8 #10:

Analyze and solve pairs of simultaneous linear equations. [8-EE8]

1. Understand that solutions to a system of two linear equations in two variables correspond to points of intersections of their graphs because points of intersection satisfy both equations simultaneously. [8-EE8a]

2. Solve systems of two linear equations in two variables algebraically and estimate solutions by graphing the equations. Solve simple cases by inspection. [8-EE8b]

Example:      3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

3. Solve real-world and mathematical problems leading to two linear equations in two variables. [8-EE8c]

Example:      Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

 

We will analyze the standard by parts and determine ways to guarantee students’ understanding of the content. Let us begin with part a; understand that solutions to a system of two linear equations in two variables correspond to points of intersections of their graphs because points of intersection satisfy both equations simultaneously.