6.MATH.4.A

Compare two rules verbally, numerically, graphically, and symbolically in the form of $y = ax$ or $y = x + a$ in order to differentiate between additive and multiplicative relationships.

Grade 6 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
rulesformadditive relationshipsmultiplicative relationships verbal representation numerical representation graphical representation symbolic representation equationy = axy = x + a
Skills
  • compare (rules expressed in different representations) #dok2
  • differentiate (between additive and multiplicative relationships) #dok2
  • translate (rules among verbal, numerical, graphical, and symbolic forms) #dok2
  • analyze (equations in the forms y = ax and y = x + a) #dok2
Learning Targets
  • I can describe a rule verbally, numerically, graphically, and symbolically. #dok2
  • I can compare two given rules using multiple representations. #dok2
  • I can identify the structure of y = ax and y = x + a equations. #dok1
  • I can differentiate between additive and multiplicative relationships by analyzing equations and their representations. #dok2
  • I can explain how to determine if a relationship is additive (y = x + a) or multiplicative (y = ax) in various contexts. #dok3
Big Ideas
  • Relationships between quantities can be represented in multiple ways, and the type of relationship (additive or multiplicative) affects how quantities change relative to each other.
  • Recognizing and distinguishing between additive and multiplicative relationships are essential for understanding patterns, making predictions, and solving real-world problems.
Essential Questions
  • How can mathematical rules be represented in different ways?
  • What is the difference between an additive and a multiplicative relationship?
  • How do you determine if a rule is additive or multiplicative from its representation?
  • Why is it important to recognize the type of relationship in a real-world context?
  • How does changing a rule from additive to multiplicative affect the outputs in a table or graph?