Section 1
Identifying Equivalent Fractions with Models
Property
Equivalent fractions are different fractions that name the same number.
They represent the same part of a whole or the same point on a number line, so they have the same value: .
In this Grade 5 Eureka Math lesson from Chapter 15, students learn to create equivalent fractions using three representations: the number line, the area model, and multiplication of the numerator and denominator by the same factor. Through hands-on activities with paper strips and visual models, students explore why fractions like one-half and two-fourths name the same value and occupy the same point on the number line.
Section 1
Identifying Equivalent Fractions with Models
Equivalent fractions are different fractions that name the same number.
They represent the same part of a whole or the same point on a number line, so they have the same value: .
Section 2
Connecting Area Models and Multiplication for Equivalent Fractions
To generate an equivalent fraction from an area model, you can partition the model with horizontal lines.
If you create new horizontal sections, you are multiplying the number of shaded parts (numerator) and the total number of parts (denominator) by .
This visual process is represented by the numerical formula:
Expand to review the lesson summary and core properties.
Section 1
Identifying Equivalent Fractions with Models
Equivalent fractions are different fractions that name the same number.
They represent the same part of a whole or the same point on a number line, so they have the same value: .
Section 2
Connecting Area Models and Multiplication for Equivalent Fractions
To generate an equivalent fraction from an area model, you can partition the model with horizontal lines.
If you create new horizontal sections, you are multiplying the number of shaded parts (numerator) and the total number of parts (denominator) by .
This visual process is represented by the numerical formula: