Lesson Plan

Translate a real-world scenario into a system of two linear equations in two variables by identifying the unknowns and the constraints

Solve systems of linear equations arising from real-world problems using substitution or elimination

Interpret the solution of a system in the context of the original problem, explaining what the values of x and y represent

Determine whether the line through one pair of points intersects the line through a second pair of points by finding and comparing the equations of both lines

Verify that a solution satisfies both equations and makes sense in the context of the problem (e.g., non-negative quantities, whole-number counts)

8.EE.C.8.c

8.EE.C.8: Analyze and solve pairs of simultaneous linear equations. 8.EE.C.8.c: Solve real-world and mathematical problems leading to two linear equations in two variables. For 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. 8.EE.C.8.a: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. 8.EE.C.8.b: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.