Unit 4, Lesson 13
Rectangles with Fractional Side Lengths
Grade 6
Preparation
Lesson Narrative
In this lesson, students solve problems about the side lengths and area of rectangles.
The lesson begins with two optional activities that activate geometric ideas from grade 5. Students revisit different ways to find the area of a rectangle with fractional side lengths. They verify that the area can be found multiplying the side lengths regardless of whether they are or are not whole numbers.
Next, students solve a contextual problem about finding the length of a rectangular tray whose area and width are known. They are also asked to find the number of rectangular tiles—which have fractional side lengths— that can cover the tray completely. Solving these problems prompts students to apply their understanding of division of fractions.
- Calculate one 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.
Let’s explore rectangles that have fractional measurements.
Required Preparation
Consider preparing -inch square stickers, -binder clips, and -inch paper clips available for students to verify their answers.