8.MATH.5.F

Distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form $y = kx$ or $y = mx + b$, where $b \neq 0$.

Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
proportional situationsnon-proportional situationstablesgraphsequationsy = kxy = mx + bb
Skills
  • distinguish (proportional and non-proportional situations using tables) #dok2
  • distinguish (proportional and non-proportional situations using graphs) #dok2
  • distinguish (proportional and non-proportional situations using equations in the form y = kx or y = mx + b, where b ≠ 0) #dok2
  • interpret (features of proportional and non-proportional relationships from representations) #dok3
Learning Targets
  • I can recognize the form y = kx as representing a proportional situation. #dok1
  • I can recognize the form y = mx + b, where b ≠ 0, as representing a non-proportional situation. #dok1
  • I can distinguish between proportional and non-proportional situations using a table of values. #dok2
  • I can distinguish between proportional and non-proportional situations by analyzing graphs. #dok2
  • I can distinguish between proportional and non-proportional situations by examining their equations. #dok2
  • I can explain my reasoning for classifying situations as proportional or non-proportional based on representations. #dok3
Big Ideas
  • Proportional and non-proportional relationships can be identified and differentiated by examining tables, graphs, and equations.
  • Recognizing the structure of equations helps determine whether a situation is proportional (y = kx) or non-proportional (y = mx + b, where b ≠ 0).
Essential Questions
  • How can you tell if a situation is proportional or non-proportional by looking at a table of values?
  • What features of a graph indicate a proportional or non-proportional relationship?
  • How does the structure of an equation such as y = kx or y = mx + b help you determine if it is proportional?
  • Why is the value of b important in classifying linear relationships as proportional or non-proportional?
  • How can you use different representations (table, graph, equation) to justify your classification of a situation?