Lesson objective: Solve a real-world problem that involves multiplying non-unit fractions by whole numbers.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplying non-unit fractions by whole numbers to a problem about heights of tables. Students are asked to figure out the sizes of wood pieces needed to construct furniture and calculate the total amount of wood needed.

Key Concept students will use:

- A multiple of \(\frac ab\) is a multiple of \(\frac1b\), and that \(n\space\times\frac ab= \frac {n\space\times\ a} b\).

Skills students will use:

- multiplying non-unit fractions by a whole number
- solving addition problems involving fractions and mixed numbers (Grade 4, Unit 3)

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they work to solve a multi-step word problem. Students might make use of the distributive property as they decided whether to add first and then multiply or multiply and then add.

**Key vocabulary: **

- non-unit fraction
- product
- unit fraction