Some Potential Dangers When Solving Equations

Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring both sides may produce a solution that is not true for the original equation.

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CCSS: Designed
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Instructional Ideas

  • Use to introduce the concept of extraneous solutions
  • Allow learners to discover the operations that potentially create extraneous solutions
Classroom Considerations

  • Background knowledge of solving all linear equations, order of operations, and exponents is required
  • 14th in a series of 30 resources
Pros

  • All handouts, keys, and a detailed teaching guide are included
  • Discovery lesson that builds on an understanding of properties of solving equations
Cons

  • None