Multiplying Fractions by Whole Numbers

4.NF.4.a

“Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).”

Part 1's four fill-ins, which write each fraction as a whole number times a unit fraction.

4.NF.4.b

“Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)”

The four products in Part 2, starting with the standard's own 3 × (2/5) example.

4.NF.4.c

“Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?”

The oat flour and sprint lap problems, each with the between-which-whole-numbers follow-up the standard spells out.