Lesson Plan

Represent any fraction a/b as the product a x (1/b), understanding a fraction as a multiple of a unit fraction

Multiply a fraction by a whole number using the rule n x (a/b) = (n x a)/b, explaining why the numerator is multiplied while the denominator stays the same

Use visual fraction models (number lines and area models) to represent and verify multiplication of a fraction by a whole number

Convert between repeated addition of a fraction and multiplication notation, connecting to prior work with fraction addition

Solve word problems involving multiplication of a fraction by a whole number, including problems whose answers are improper fractions or mixed numbers

4.NF.B.4

4.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. 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 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). 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 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) 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?