7adv.MATH.8.B

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

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Vocabulary
proportional situationsnon-proportional situationstablesgraphsequationsform y = kxform y = 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) #dok2
  • analyze (relationships in the forms y = kx and y = mx + b, where b ≠ 0) #dok2
  • justify (classification of situations using mathematical reasoning and representations) #dok3
Learning Targets
  • I can identify proportional and non-proportional relationships in tables. #dok2
  • I can compare graphs to determine if they represent proportional or non-proportional situations. #dok2
  • I can distinguish between equations of the form y = kx and y = mx + b, where b ≠ 0, to classify relationships as proportional or non-proportional. #dok2
  • I can analyze real-world contexts to decide if the situation is proportional or non-proportional. #dok2
  • I can justify my classification of relationships using tables, graphs, or equations. #dok3
Big Ideas
  • Understanding the difference between proportional and non-proportional relationships helps students model and solve real-world problems.
  • Tables, graphs, and equations are critical tools for recognizing and analyzing proportional vs. non-proportional situations.
Essential Questions
  • How can you tell if a situation is proportional or non-proportional by looking at its table, graph, or equation?
  • What characteristics make a relationship proportional?
  • In what ways does a nonzero b value in y = mx + b affect the relationship?
  • Why is it important to distinguish between proportional and non-proportional relationships when solving real-world problems?
  • How can multiple representations (tables, graphs, equations) help you classify relationships accurately?