Section 1
Defining Equivalent Fractions
Property
Two fractions, and , are equivalent if they represent the same value, area, or length. This is only true if both fractions refer to the same size whole.
In this Grade 4 Pengi Math lesson from Chapter 6, students learn to define and generate equivalent fractions using area models and number lines. They explore why a/b equals (n × a)/(n × b) through visual decomposition, and practice creating equivalent fractions by multiplying or dividing the numerator and denominator by the same common factor. By the end of the lesson, students can confidently identify and produce equivalent fractions using multiple strategies.
Section 1
Defining Equivalent Fractions
Two fractions, and , are equivalent if they represent the same value, area, or length. This is only true if both fractions refer to the same size whole.
Section 2
Generating Equivalent Fractions by Multiplication
To generate an equivalent fraction, multiply the numerator and the denominator by the same whole number ().
Section 3
Visualizing Equivalent Fractions with Area Models
To find an equivalent fraction, multiply the numerator and the denominator by the same whole number, , where .
This process corresponds to visually decomposing each part of an area model into smaller, equal parts.
Section 4
Identifying Equivalent Fractions on a Number Line
If two fractions and represent the same point on a number line, then they are equivalent: .
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Section 1
Defining Equivalent Fractions
Two fractions, and , are equivalent if they represent the same value, area, or length. This is only true if both fractions refer to the same size whole.
Section 2
Generating Equivalent Fractions by Multiplication
To generate an equivalent fraction, multiply the numerator and the denominator by the same whole number ().
Section 3
Visualizing Equivalent Fractions with Area Models
To find an equivalent fraction, multiply the numerator and the denominator by the same whole number, , where .
This process corresponds to visually decomposing each part of an area model into smaller, equal parts.
Section 4
Identifying Equivalent Fractions on a Number Line
If two fractions and represent the same point on a number line, then they are equivalent: .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter