7.MATH.4.A

Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including $d = rt$.

Grade 7 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
constant rates of changemathematical problemsreal-world problemspictorial representationstabular representationsverbal representationsnumeric representationsgraphical representationsalgebraic representationsd = rt
Skills
  • represent (constant rates of change using multiple forms) #dok2
  • interpret (mathematical and real-world contexts involving rates of change) #dok2
  • translate (between pictorial, tabular, verbal, numeric, graphical, and algebraic forms) #dok2
  • solve (problems involving constant rate of change, including d = rt) #dok2
  • analyze (relationships in proportional situations) #dok2
Learning Targets
  • I can identify a constant rate of change in various representations. #dok1
  • I can define what a proportional relationship is in mathematics. #dok1
  • I can state the formula d = rt and describe its variables. #dok1
  • I can represent a constant rate of change using a table, graph, diagram, or equation. #dok2
  • I can interpret real-world situations to identify constant rates of change. #dok2
  • I can explain how different representations show the same rate of change. #dok2
  • I can solve a real-world problem involving d = rt by creating a table or a graph. #dok2
  • I can compare and translate between pictorial, tabular, verbal, numeric, graphical, and algebraic representations that model constant rates of change. #dok3
  • I can justify that two different representations model the same rate of change. #dok3
Big Ideas
  • A constant rate of change can be represented in multiple ways, and translating between these forms deepens understanding.
  • Understanding and applying the concept of constant rate of change is essential to modeling and solving real-world and mathematical problems.
Essential Questions
  • In what ways can a constant rate of change be represented, and why might one form be preferable over another?
  • How does the equation d = rt model real-life situations involving a constant rate of change?
  • What patterns and relationships help us recognize constant rates of change in different types of data?
  • How can we translate between various representations (graphs, tables, equations, etc.) to solve problems more effectively?
  • Why is it useful to model real-world problems with different mathematical representations?