
Equivalent Fractions on Number Lines
Grade 4 Mathematics Finding fractions that represent the same value Using visual number line models

What Are Equivalent Fractions?
Fractions that represent the same amount Different numbers but equal value Like different names for the same thing Examples: 1/2 = 2/4 = 3/6

Introduction to Number Lines
A line marked with numbers in order Shows fractions as points on the line Helps us see fraction relationships Goes from 0 to 1 for unit fractions

Find the Fraction on the Number Line
Look at the number line shown Find where 1/2 is located Point to the exact spot Explain why it's in the middle
Number Line with Halves and Fourths

Discovering 1/2 = 2/4
Both fractions point to the same spot 1/2 means 1 out of 2 equal parts 2/4 means 2 out of 4 equal parts Same location = equivalent fractions

More Equivalent Fraction Examples
{"left":"1/3 = 2/6\n1/4 = 2/8","right":"2/3 = 4/6\n3/4 = 6/8"}

Practice Time: Find the Match
Draw number lines for thirds and sixths Mark 1/3 on the first line Find the equivalent fraction on the sixths line What fraction equals 1/3?

Think and Discuss
Why do you think 1/2 and 2/4 are the same? How can different fractions equal the same amount? What pattern do you notice in equivalent fractions?

Summary: Equivalent Fractions on Number Lines
Equivalent fractions point to the same spot Different ways to name the same amount Number lines help us see equivalence clearly Practice helps us recognize patterns