ALGRZ.MATH.6.B

Solve equations arising from questions asked about functions that model real-world applications, including linear and quadratic functions, tabularly, graphically, and symbolically.

Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
equationsquestionsfunctionsreal-world applicationslinear functionsquadratic functionstabular representationgraphical representationsymbolic representation
Skills
  • solve (equations from real-world applications) #dok2
  • model (real-world problems with functions) #dok2
  • interpret (solutions of equations in context) #dok3
  • represent (functions tabularly, graphically, and symbolically) #dok2
Learning Targets
  • I can identify the type of function that models a real-world context. #dok1
  • I can represent a function using tables, graphs, or equations. #dok1
  • I can solve equations related to linear and quadratic functions. #dok2
  • I can model real-world scenarios using appropriate functions. #dok2
  • I can select the best strategy to solve questions about a given function. #dok2
  • I can interpret the reasonableness of a solution within a real-world context. #dok3
  • I can explain how the solution to a function-based equation answers the original real-world question. #dok3
Big Ideas
  • Solving real-world problems often involves creating and interpreting equations that model those situations.
  • Understanding how to use multiple representations of functions (tables, graphs, symbolic forms) enhances problem-solving and communication in mathematics.
Essential Questions
  • How can equations be used to model real-world situations?
  • Why is it useful to represent functions in more than one way (tabularly, graphically, symbolically)?
  • What strategies can I use to solve equations that come from real-world contexts?
  • How do I know if my solution makes sense in the context of the problem?
  • How can different function types (linear, quadratic) be used to answer questions about real-world problems?