6.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 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quantityfractionvaluecomputation
Skills
- determine (whether a quantity is increased when multiplied by a fraction) #dok2
- determine (whether a quantity is decreased when multiplied by a fraction) #dok2
- analyze (effects of multiplying by fractions greater than one) #dok2
- analyze (effects of multiplying by fractions less than one) #dok2
- justify (the change in value when multiplying by a fraction, with or without computation) #dok3
Learning Targets
- I can determine whether a quantity increases when multiplied by a fraction greater than one. #dok2
- I can determine whether a quantity decreases when multiplied by a fraction less than one. #dok2
- I can use computation to find out if multiplying by a fraction increases or decreases a given value. #dok2
- I can explain and justify how multiplying by different fractions changes the value of a quantity. #dok3
Big Ideas
- Multiplying a quantity by a fraction changes its value depending on whether the fraction is greater than or less than one.
- Understanding the effect of multiplying by a fraction is important for reasoning about changes in quantities in mathematical and real-world contexts.
Essential Questions
- How does multiplying a quantity by a fraction affect its value?
- When will multiplying by a fraction increase a quantity? When will it decrease it?
- Why does multiplying by a fraction less than one make a quantity smaller?
- How can you justify your answer without computation?
- Can you think of real-world situations where multiplying by a fraction changes the amount of something?