Standard Unwrapping

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Vocabulary
fractionsum of fractionsdenominatorconcrete modelspictorial modelssymbolic representations
Skills
  • decompose (fractions in more than one way) #dok2
  • represent (fraction decomposition with concrete and pictorial models) #dok2
  • record (results using symbolic representations) #dok1
  • choose (multiple possible decompositions for a given fraction) #dok3
Learning Targets
  • I can record the decomposition of a fraction as a sum of fractions with the same denominator using symbolic representations. #dok1
  • I can represent a fraction as a sum of fractions with the same denominator using concrete and pictorial models. #dok2
  • I can decompose a fraction in more than one way using visual or hands-on models. #dok2
  • I can choose different valid ways to decompose a given fraction using math models and symbols. #dok3
Big Ideas
  • Fractions can be broken down (decomposed) in multiple ways into smaller parts with the same denominator.
  • Concrete, pictorial, and symbolic models all provide ways to understand and demonstrate fraction decomposition.
Essential Questions
  • How can a fraction be decomposed in more than one way?
  • Why do we use concrete and pictorial models to represent fraction decomposition?
  • What strategies help us find different ways to decompose a fraction into a sum of fractions with the same denominator?
  • How do symbolic representations show our thinking when we break up a fraction into smaller parts?
  • In what situations might decomposing a fraction be useful for solving math problems?