Lesson Plan

Interpret division of a unit fraction by a whole number as splitting that fraction into equal parts, and compute the resulting quotient (e.g., (1/3) / 4 = 1/12)

Interpret division of a whole number by a unit fraction as counting how many unit fractions fit into the whole number, and compute the resulting quotient (e.g., 4 / (1/3) = 12)

Use the inverse relationship between multiplication and division to verify quotients involving unit fractions (e.g., check (1/3) / 4 = 1/12 because 1/12 x 4 = 1/3)

Construct visual fraction models -- such as fraction bars and number lines -- that represent both types of division

Create story contexts (word problems) for expressions of the form (1/n) / c and c / (1/n), and solve real-world problems involving both types

Distinguish between the two division types -- recognizing that (1/3) / 4 and 4 / (1/3) produce very different results and answer very different questions

5.NF.B.7

5.NF.B.7 -- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

5.NF.B.7a -- Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) / 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) / 4 = 1/12 because (1/12) x 4 = 1/3.

5.NF.B.7b -- Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 / (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 / (1/5) = 20 because 20 x (1/5) = 4.

5.NF.B.7c -- Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?