Curriculum › Grade 3 › Mathematics

Fractions on a Number Line

  • Grade 3
  • Mathematics
  • 3.NF.A.2
  • Number & Operations—Fractions
  • Free lesson

Aligned to 3.NF.A.2 — Common Core State Standards for Mathematics.

What this lesson teaches

A fraction is a number that lives on the number line. Split the space from 0 to 1 into equal parts, then count the parts to reach your fraction.

Worked examples

Example 1

To place 3/4, split 0 to 1 into 4 equal parts. Each part is 1/4. Start at 0 and hop 3 parts. You land on 3/4.

Example 2

To place 2/3, split 0 to 1 into 3 equal parts and hop 2 of them. You land between 1/2 and 1.

Example 3

Fractions keep going past 1. Split each whole into fourths and 5/4 sits one hop past the 1.

Practice questions

  1. Split 0 to 1 into 2 equal parts and mark 1/2.
  2. On a line split into 4 parts, where is 2/4?
  3. Which is farther from 0: 1/3 or 2/3?

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Fracciones en la Recta Numérica

Una fracción es un número que vive en la recta numérica. Divide el espacio del 0 al 1 en partes iguales y luego cuenta las partes para llegar a tu fracción.

Ejemplo 1: Para ubicar 3/4, divide del 0 al 1 en 4 partes iguales. Cada parte es 1/4. Empieza en 0 y salta 3 partes. Caes en 3/4.

Ejemplo 2: Para ubicar 2/3, divide del 0 al 1 en 3 partes iguales y salta 2 de ellas. Caes entre 1/2 y 1.

Ejemplo 3: Las fracciones siguen más allá del 1. Divide cada entero en cuartos y 5/4 queda un salto después del 1.

More Number & Operations—Fractions lessons

Understanding Fractions3.NF.A.1Equal and Unequal Fractions3.NF.A.3

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