Creating and Solving Quadratic Equations in One Variable

Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then discuss their contextual meaning. 

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CCSS: Designed
Instructional Ideas

  • Encourage students to draw a picture of each scenario
  • Use a graphing calculator to graph the equations written and analyze input-output pairs in context
Classroom Considerations

  • Background knowledge should include solving quadratic equations by factoring and writing expressions
  • Lesson 7 in a 26-part series
Pros

  • Uses a linear model of perimeter to lead into the quadratic area model
  • Handouts, keys, and a detailed teacher guide are included
  • Opener and exit ticket are provided
Cons

  • None