Lesson objective: Apply the ability to write a non-unit fraction as a product of a unit fraction and a whole number in order to solve a real-world problem involving running on tracks.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplying unit fractions by whole numbers to a real-life situation. Students are asked to determine the length of four tracks of different lengths, given the distance someone has traveled in a certain number of laps. Once students know the length of the track, they determine how many laps are needed in order to run \(\frac34\)mile.

Key Concept students will use:

Skills students will use:

- identifying the unit fraction that is a multiple of a non-unit fraction
- identifying the number of unit fractions in a non-unit fraction
- finding equivalent fractions (Grade 4, Unit 5)

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they work to solve a multi-step word problem. Students identify a unit fraction, find an equivalent fraction, and determine how many times to multiply the unit fraction in order to generate the equivalent fraction.

**Key vocabulary: **

- denominator
- equivalent fraction
- non-unit fraction
- numerator
- unit fraction
- whole number