5.MATH.3.J

Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models.

Grade 5 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
divisionunit fractionwhole numberobjectspictorial modelsarea models1/3 ÷ 77 ÷ 1/3
Skills
  • represent (division of a unit fraction by a whole number) #dok2
  • represent (division of a whole number by a unit fraction) #dok2
  • solve (division of a unit fraction by a whole number using models) #dok2
  • solve (division of a whole number by a unit fraction using models) #dok2
  • use (objects, pictorial models, and area models to show division situations) #dok1
Learning Targets
  • I can use objects and pictorial models to show how to divide a unit fraction by a whole number. #dok1
  • I can use area models to represent how to divide a whole number by a unit fraction. #dok1
  • I can represent division situations involving unit fractions and whole numbers with models. #dok2
  • I can solve division problems with unit fractions and whole numbers using objects, pictorial models, or area models. #dok2
  • I can explain my reasoning for dividing a unit fraction by a whole number or a whole number by a unit fraction using models. #dok3
Big Ideas
  • Division with fractions involves understanding how to partition objects and wholes into equal parts.
  • Visual models help make sense of division situations involving unit fractions and whole numbers.
Essential Questions
  • How can I use models to understand dividing a unit fraction by a whole number?
  • What does it mean to divide a whole number by a unit fraction, and how can I represent it?
  • Why is it important to use objects, pictorial models, and area models to solve fraction division problems?
  • How do the results of dividing by fractions compare to dividing by whole numbers?
  • How can we apply fraction division to solve real-world problems?