Lesson Plan

Explain in their own words why a fraction a/b is equivalent to the division expression a / b, using the fair-sharing interpretation: dividing a items equally among b people gives each person a/b

Interpret a division problem whose quotient is not a whole number and express the answer as a fraction or mixed number rather than writing a remainder

Verify the fraction-as-division relationship by multiplying back: if a / b = a/b, then (a/b) x b = a

Solve word problems in which whole numbers are divided and the result is a fraction or mixed number, selecting an appropriate visual model (equal-sharing diagram, number line, or equation) to represent the situation

Locate a fractional or mixed-number quotient between two consecutive whole numbers on a number line, demonstrating understanding of its magnitude

5.NF.B.3

5.NF.B.3: Interpret a fraction as division of the numerator by the denominator (a/b = a / b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?