Rational Numbers: Dividing a Whole Number by a Unit Fraction
By Cindy Aossey (KCM) and Funda Gonulates (NKU)
Students can build on their understanding of whole number division to make sense of, and solve, division situations involving a unit fraction. In this video, we use a measurement
interpretation of division to explore problems such as 3 ÷ 16, asking the question “How many one-sixth sized pieces are in three wholes?” and use pattern blocks to represent
and count quantities. We connect this concrete representation to symbolic reasoning, showing that dividing by a unit fraction is equivalent to multiplying by its reciprocal.
Using number lines and area models, we support students in moving between concrete, semi-concrete, and symbolic representations. Through multiple examples and repeated
reasoning, students begin to notice patterns and make generalizations that prepare them for more complex division problems.
Targeted Standards: KY.5.NF.7
Resources:
Collection: Rational NumbersComing Soon