ALG1.MATH.3.B

Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems.

Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
rate of changelinear functionrepresentationtablegraphalgebraic representationcontextmathematical problemsreal-world problems
Skills
  • calculate (rate of change of a linear function from a table) #dok1
  • calculate (rate of change of a linear function from a graph) #dok1
  • calculate (rate of change of a linear function from an algebraic representation) #dok1
  • calculate (rate of change in mathematical and real-world contexts) #dok2
  • interpret (the meaning of the rate of change in real-world situations) #dok3
Learning Targets
  • I can calculate the rate of change of a linear function from a table. #dok1
  • I can calculate the rate of change of a linear function from a graph. #dok1
  • I can calculate the rate of change of a linear function from an algebraic equation. #dok1
  • I can identify the rate of change in mathematical and real-world situations. #dok2
  • I can compare rates of change represented in different formats. #dok2
  • I can explain the significance of the rate of change in a real-world context. #dok3
Big Ideas
  • The rate of change describes how one quantity changes in relation to another within a linear function.
  • Understanding how to determine and interpret the rate of change allows us to analyze and solve real-world and mathematical problems involving linear relationships.
Essential Questions
  • What does the rate of change mean in the context of a linear function?
  • How can we calculate the rate of change from a table, a graph, or an algebraic equation?
  • How does the rate of change help us understand real-world situations?
  • How do representations of a linear function help us determine its rate of change?
  • In what ways can rates of change differ when comparing mathematical versus real-world problems?