Learning Goal
Part of: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers — 2 of 2 cluster items
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number
**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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (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 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × 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.
Show moreShow less
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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (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 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × 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.
What you'll learn
- Represent any fraction a/b as the product a × (1/b), understanding a fraction as a multiple of a unit fraction
- Multiply a fraction by a whole number using the rule n × (a/b) = (n × 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
Slides
Interactive presentations perfect for visual learners • In development
Slides
In development
Not yet available • Check back soon!