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 Materials
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
Print Formatted Materials
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| Student Task Statements | docx | |
| Cumulative Practice Problem Set | docx | |
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| Teacher Presentation Materials | docx |