8.MATH.5.B

Represent linear non-proportional situations with tables, graphs, and equations in the form of $y = mx + b$, where $b \neq 0$.

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

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
linear non-proportional situationstablesgraphsequationsform y = mx + bb
Skills
  • represent (linear non-proportional situations using tables) #dok2
  • represent (linear non-proportional situations using graphs) #dok2
  • represent (linear non-proportional situations using equations in the form y = mx + b, where b ≠ 0) #dok2
  • differentiate (proportional and non-proportional linear situations) #dok2
Learning Targets
  • I can recognize a linear non-proportional situation in a real-world or mathematical context. #dok1
  • I can identify the form of an equation as y = mx + b, where b is not zero. #dok1
  • I can organize data from linear non-proportional situations using tables. #dok2
  • I can create a graph to represent a linear non-proportional relationship. #dok2
  • I can write an equation in the form y = mx + b, where b ≠ 0, to match a table or graph of a situation. #dok2
  • I can compare tables, graphs, and equations to determine if a relationship is linear and non-proportional. #dok2
  • I can analyze patterns in data to determine if they represent a non-proportional linear relationship. #dok3
  • I can justify why a given scenario is a non-proportional linear situation using evidence from a table, graph, or equation. #dok3
Big Ideas
  • Not all linear relationships are proportional; linear non-proportional relationships have a nonzero y-intercept.
  • Linear non-proportional situations can be represented in multiple ways, including tables, graphs, and equations of the form y = mx + b where b ≠ 0.
Essential Questions
  • How is a linear non-proportional relationship different from a proportional relationship?
  • What does the value of 'b' in the equation y = mx + b tell us about the relationship?
  • How can you represent the same linear non-proportional relationship using a table, graph, and equation?
  • Why is it useful to know if a relationship is non-proportional?
  • In what real-world situations might you encounter linear non-proportional relationships?