Lesson 6

Locate Unit Fractions on the Number Line

Lesson Purpose

The purpose of this lesson is for students to partition the interval from 0 to 1and locate unit fractions within that interval.

Lesson Narrative

In previous lessons, students made sense of number lines that were partitioned into fractions. While this lesson focuses on partitioning and locating unit fractions within the interval from 0 to 1, the number lines in this lesson vary in length. This allows students to consider common misconceptions about partitioning the number line into fractional parts, such as partitioning the whole number line rather than each unit interval, such as from 0 to 1, 1 to 2, and so on, and counting tick marks rather than parts of the interval.

As students partition number lines in the rest of this unit, the most important thing is that they are accurate in relatively locating fractions on the number line and they understand the partitions should be equally spaced (MP6). It is not necessary that they locate fractions exactly or be overly concerned with making sure partitions are exactly the same size.

  • Engagement
  • MLR8

Learning Goals

Teacher Facing

  • Partition the interval from 0 to 1 and locate unit fractions within that interval.

Student Facing

  • Let’s partition the number line to locate unit fractions.

Required Preparation

CCSS Standards


Lesson Timeline

Warm-up 10 min
Activity 1 15 min
Activity 2 20 min
Lesson Synthesis 10 min
Cool-down 5 min

Teacher Reflection Questions

How did you see or hear students leverage their prior experiences with fractions to place fractions on the number line?

Suggested Centers

  • Mystery Number (1–4), Stage 3: Fractions with Denominators 2, 3, 4, 6 (Addressing)
  • Number Line Scoot (2–3), Stage 2: Halves, Thirds and Fourths (Addressing)

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