Lesson objective: Solve problems involving finding many equivalent fractions for the same length.

This lesson provides an opportunity for students to apply their knowledge and understanding of finding many equivalent fractions for the same length to a real-life situation. Students are asked to measure a crayon with a ruler that is missing markings to determine which lengths from a list can be used to describe the length of the crayon.

Key Concept students will use:

- We can name numbers in infinitely many ways.

Skills students will use:

- Use unit fractions to partition a number line into equal parts. (Grade 3, Unit 4)
- Use unit fractions to name lengths greater than one whole. (Grade 3, Unit 4)
- Use unit fractions to generate equivalent fractions for the same length.

Students engage in Mathematical Practice 4 (model with mathematics) as they represent equivalent fractions as a location on a number line, as numbers, and in equations. Students engage in Mathematical Practice 6 (attend to precision) as they partition the number line into equal parts to count.

**Key vocabulary: **

- equivalent
- partition
- unit fractions

**Special materials needed:**

- a copy of the task for each student