In this lesson, students know that since two equations in the form ax + by = c and a'x + b'y = c' graph as the same line when a'/a = b'/b = c'/c, then the system of linear equations has infinitely many solutions. Students know a strategy for solving a system of linear equations algebraically.

In this lesson, students know that when a system of linear equations has no solution, i.e., no point of intersection of the lines, then the lines are parallel.

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

In this lesson, students know that a system of linear equations, also known as simultaneous equations, is when two or more equations are involved in the same problem and work must be completed on them simultaneously. Students also learn the notation for simultaneous equations. Students compare the graphs that comprise a system of linear equations, in the context of constant rates, to answer questions about time and distance.

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the break-even point, checking it for confirmation; and communicate their reasoning clearly.

Students have mastered solving equations and looking at solutions graphically. This unit is an extension and will have students investigate how to find to two equations. This unit will utilize investigate and exploration,  with some direct instruction, to solidify the process and procedures to finding and identifying solutions to systems.

Students will use system of equations to assit with planning a trip to disney and budget their expensives. 

For this activity, students compare the cost of buying disposable versus cloth diapers and estimate how much diapers cost their parents. Students consider how much money they will spend on diapers when they have a baby.

This lesson will help students develop a deep understanding of what the solution to a system of linear equations means. They will investigate the graphs of systems as well as experiment with an online graphing calculator.