# Lesson Plan: Fractions on a Number Line

## Lesson Objectives

• Represent fractions on a number line
• Divide number lines into equal parts
• Locate fractions on a number line
• Understand fractions as numbers with specific locations

## Florida BEST Standards

• MA.3.FR.2.2: Plot and locate fractions on a number line, including fractions greater than one and mixed numbers.
• MA.3.FR.1.1: Represent and interpret unit fractions in the form 1/n as the quantity formed by one part when a whole is partitioned into n equal parts.
• >MA.3.FR.1.2: Represent and interpret fractions, including fractions greater than one, in the form of m/n as the result of adding the unit fraction 1/n to itself m times.
• MA.3.FR.2.1: Plot, order and compare fractional numbers with the same numerator or the same denominator.

• Number line
• Fraction
• Numerator
• Denominator

## Teach

### Plotting Fractions on Number Lines

• Use this slide show to present graphing whole numbers on a number line and how fractions are graphed: https://www.media4math.com/library/slideshow/fractions-and-whole-numbers-number-line
• Model how to plot fractions on a number line by counting the number of parts indicated by the numerator and marking the corresponding point on the line.
• Provide examples with different denominators (e.g., halves, thirds, fourths) and have students plot the fractions on their own number lines.

## Quiz

1. Plot 1/2 on the number line.
2. Plot 3/4 on the number line.
3. Plot 2/3 on the number line.
4. Identify the fraction represented by the point on the number line.
5. Identify the fraction represented by the point on the number line.
6. Plot 5/6 on the number line.
7. Plot 1/3 on the number line.
8. Plot 3/5 on the number line.
9. Identify the fraction represented by the point on the number line.
10. Identify the fraction represented by the point on the number line.

1. 1/2 should be plotted at the midpoint of the number line.
2. 3/4 should be plotted at the 3/4 mark on the number line.
3. 2/3 should be plotted at the 2/3 mark on the number line.
4. 1/4
5. 3/6 or 1/2
6. 5/6 should be plotted at the 5/6 mark on the number line.
7. 1/3 should be plotted at the 1/3 mark on the number line.
8. 3/5 should be plotted at the 3/5 mark on the number line.
9. 5/8
10. 4/6 or 2/3