Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs

Start lessonBegins with Intersection as solution · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

8.EE.C.8.a

**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**: Analyze and solve linear equations and pairs of simultaneous linear equations.

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: Analyze and solve linear equations and pairs of simultaneous linear equations.

What you'll learn

Explain that a solution to a system of two linear equations is an ordered pair (x, y) that makes both equations true simultaneously
Graph two linear equations on the same coordinate plane and identify their point of intersection as the solution to the system
Verify that the intersection point satisfies both equations by substituting its coordinates into each equation
Classify a system of two linear equations by the number of solutions (one solution, no solution, or infinitely many solutions) based on the behavior of the two lines
Explain why graphing can produce imprecise solutions when the intersection point has non-integer coordinates, and recognize the need for algebraic methods

Review first:

Slides

Step through the lesson, or watch it as a narrated video

Intersection as solution

✓ Start here

Watch as video

Practice

Try it on your own

Exercise

Practice problems, checked as you go

Animated Videos

Short animated explanations of the key idea • 3 animated videos

Was this lesson helpful?

Report a problem with this page