6adv.MATH.3.B

Determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one.

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

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Vocabulary
quantityfractionvaluescomputation
Skills
  • determine (whether a quantity is increased or decreased when multiplied by a fraction) #dok2
  • analyze (the effect of multiplying by fractions greater than one and less than one) #dok2
  • explain (why multiplying by a fraction results in an increase or decrease in quantity) #dok3
  • justify (the change in value after multiplying by a fraction, with or without computation) #dok3
Learning Targets
  • I can identify if a quantity increases or decreases when multiplied by a fraction greater or less than one. #dok1
  • I can determine if multiplication by a fraction changes a quantity by using computation. #dok2
  • I can analyze situations to decide whether multiplication by a fraction increases or decreases the value of a quantity. #dok2
  • I can explain why multiplying by a fraction greater than one increases a quantity, and why multiplying by a fraction less than one decreases it. #dok3
  • I can justify my answer about how a fraction changes a quantity, with or without computation. #dok3
Big Ideas
  • Multiplying a quantity by a fraction can either increase or decrease the original value, depending on the size of the fraction.
  • Understanding how fractions affect quantities is essential for solving real-world problems and making sense of proportional relationships.
Essential Questions
  • How does multiplying by a fraction greater than one affect a quantity?
  • What happens to a quantity when you multiply it by a fraction less than one?
  • Why might you choose to multiply by a fraction in a real-world problem?
  • Can you determine if a quantity will increase or decrease without doing the computation? How?
  • How can you justify your reasoning about how a fraction affects a value?