Lesson 13

Rectangles with Fractional Side Lengths

Lesson Narrative

This lesson builds on students’ work on area and fractions in grade 5. Students solve problems involving the relationship between area and side lengths of rectangles, in cases where these measurements can be fractions. Knowing that the area of a rectangle can be found by multiplying its side lengths, and knowing the relationship between multiplication and division, they use division to find an unknown side length when the other side length and the area are given.

Learning Goals

Teacher Facing

  • Apply dividing by fractions to calculate the side length of a rectangle, given its area and the other side length.
  • Coordinate (orally) diagrams and equations that represent the area of a rectangle with fractional side lengths.
  • Draw and label a diagram to justify the area of a rectangle with fractional side lengths.

Student Facing

Let’s explore rectangles that have fractional measurements.

Required Preparation

Consider having the objects mentioned in the How Many Would it Take? activity available for students to verify their answers. These objects are: \(\frac34\)-inch square stickers, \(\frac58\)-binder clips, and \(1\frac34\)-inch paper clips.

Learning Targets

Student Facing

  • I can use division and multiplication to solve problems involving areas of rectangles with fractional side lengths.

CCSS Standards

Building On


Building Towards