In this Grade 4 Eureka Math lesson from Chapter 22, students learn how to use area models and multiplication to prove that two fractions are equivalent, such as showing that 2/3 equals 8/12 by multiplying both the numerator and denominator by the same number. The lesson builds understanding of fraction equivalence through visual models, number sentences, and counting exercises with equivalent fractions like thirds and sixths. Students practice applying this concept to both unit and non-unit fractions, connecting area model drawings to the multiplication rule for generating equivalent fractions.
Section 1
Decomposing Area Models for Equivalent Fractions
Decomposing a fraction's area model by partitioning it into equal horizontal sections multiplies both the number of shaded parts (numerator) and the total number of parts (denominator) by , creating an equivalent fraction.
Section 2
Verify Fraction Equivalence Using Multiplication
To determine if two fractions are equivalent, such as , you must find a single whole number, , that satisfies both equations:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Decomposing Area Models for Equivalent Fractions
Decomposing a fraction's area model by partitioning it into equal horizontal sections multiplies both the number of shaded parts (numerator) and the total number of parts (denominator) by , creating an equivalent fraction.
Section 2
Verify Fraction Equivalence Using Multiplication
To determine if two fractions are equivalent, such as , you must find a single whole number, , that satisfies both equations:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter