Make Them Balance

This lesson formally introduces the concept of system of equations using the familiar context of balanced hangers. Students will recognize that in the past few lessons, they have found solutions to systems of equations by examining the intersection of graphed lines. This lesson builds on that work, adding in the concept of a solution as the set of values that makes two equations true. Students are introduced to a system where they connect lines with no intersection point to their representations with no common solution.

By Desmos Classroom

Learning goals: Learning Goals • Understand that solving a system of equations means finding values of the variables that make both equations true at the same time. • Connect graphs of parallel lines and a system of equations that has no solutions. Materials • Blank paper