Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support to reinforce this idea.

Concepts

quadratic equations, solving quadratics, graphing quadratics, factoring quadratics

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Additional Tags

math

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Instructional Ideas

• Incorporate while solving quadratic equations by factoring
• Simplify the task to include an integer constant for younger and less advanced pupils

Classroom Considerations

• Expects previous experience solving quadratic equations by graphing and factoring

Pros

• Encourages multiple representations for extra practice
  
• Combines several quadratic concepts in a single task

Cons

• None

Common Core

HSA-REI.B.4.a