In this Grade 5 enVision Mathematics lesson from Chapter 8, students learn how to find the area of a rectangle with fractional side lengths by multiplying fractions using the formula length times width. The lesson uses visual models like unit square grids to show why multiplying numerators and denominators separately gives the correct area, such as finding that a rectangle measuring two-thirds yard by three-fourths yard has an area of ten-twelfths square yard. Students practice applying fraction multiplication to calculate areas of rectangles and squares with various fractional dimensions.
Section 1
Modeling Fraction Multiplication with an Area Model
Multiplying two fractions, , is equivalent to finding a part of a part, or of .
An area model visualizes this by partitioning a whole into smaller rectangles.
The product is the fraction of the whole that is represented by the double-shaded area.
Expand to review the lesson summary and core properties.
Section 1
Modeling Fraction Multiplication with an Area Model
Multiplying two fractions, , is equivalent to finding a part of a part, or of .
An area model visualizes this by partitioning a whole into smaller rectangles.
The product is the fraction of the whole that is represented by the double-shaded area.