3.MATH.3.D

Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b.

Grade 3 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
fractionnumeratordenominatorsumpartsunit fraction
Skills
  • compose (fractions as a sum of unit fractions) #dok2
  • decompose (fractions into a sum of unit fractions) #dok2
  • identify (numerator and denominator in fractions) #dok1
  • represent (fractions as sums of unit fractions) #dok2
  • explain (the meaning of a unit fraction and its role in decomposition) #dok3
Learning Targets
  • I can identify the numerator and denominator in a fraction. #dok1
  • I can decompose a fraction into a sum of unit fractions. #dok2
  • I can compose a fraction by combining unit fractions. #dok2
  • I can represent a fraction as a sum of parts when the numerator is greater than zero and less than or equal to the denominator. #dok2
  • I can explain why a fraction can be written as a sum of equal parts (unit fractions). #dok3
Big Ideas
  • Fractions can be broken apart and put together using unit fractions.
  • Understanding fractions as sums of unit fractions builds a foundation for mathematical reasoning and problem solving with rational numbers.
Essential Questions
  • How can any fraction be written as a sum of unit fractions?
  • What does it mean to decompose a fraction?
  • Why is understanding unit fractions important when working with fractions?
  • How do the numerator and denominator impact how we break up and represent a fraction?
  • In what ways does breaking a fraction into unit fractions help us solve real-world problems?