No-solution and infinite-solution systems

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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.

A 604. Solve systems of two linear equations AF 503. Match linear equations with their graphs in the coordinate plane A 514. Determine the slope of a line from an equation AF 703. Analyze and draw conclusions based on properties of algebra and/or functions AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane

A 604. Solve systems of two linear equations
AF 503. Match linear equations with their graphs in the coordinate plane
A 514. Determine the slope of a line from an equation
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane

What you'll learn

Determine whether a system of two linear equations has exactly one solution, no solution, or infinitely many solutions — from what elimination leaves (a solvable equation, a false statement such as `0 = 7`, or an identity such as `0 = 0`) or, without solving, by comparing slopes and then intercepts — and explain each case as crossing, parallel or coincident lines
Produce several solutions of a system with infinitely many solutions
Classify a system as consistent-independent, consistent-dependent, or inconsistent
Find the value of a parameter that forces a system to have no solution or infinitely many

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