Determine Perimeter of a Rectangle from the Area

Program Area(s)

Basic Information

Brief Description
In this lesson, students will learn how to calculate the area and perimeter of squares and rectangles. By the end of the lessons, students will be able to apply what they have learned to the real-world activity of determining how many fence panels are needed for a rectangular yard with a building taking the place of fence on one side.
Essential Questions
Developed By
Alicia Willis
Co-contributors
Some contents of this lesson were borrowed from an existing lesson created by Carolyn Connelly a teacher in the Ohio Aspire program at the Trumbull Career & Technical Center. The lesson title is "Perimeter and Area of Squares and Rectangles" and can be found on the Ohio Aspire Teacher Resource Center (go.osu.edu/trc).
Number of Sessions
1
Time Required
60
minutes
Setting
Classroom
Instruction Level
Beginning
Intermediate

Objectives

Lesson Goal
- students will be able to compute perimeter of squares and rectangles by use of addition and multiplication. - student will be able to compute area (square unit) of squares and rectangles by use of addition and multiplication.
Learning Objectives

Instructional Strategies

- Block/square worksheets to help students learn how to calculate area and perimeter. - Worksheets with various sizes of squares and rectangles to find the area and perimeter. - Word problems to find the area and perimeter in real-world situations. - Small group work to help higher-level students assist lower-level students. - Videos to demonstrate how to calculate area and perimeter.

Resources

Resource
- Math Rocks! Perimeter and Area. (n.d.). Retrieved from https://www.youtube.com/watch?v=wwpsZuVLSIM - Projector, ability to project - Computer - Internet access - Chalk/white board - Student copies of Determining Area with Square Units worksheet and Determining Perimeter worksheet.
How Resource Is Used
- The video will be shared at the beginning of the lesson and as needed for student review. - The projector, computer, and internet access will be used to show the video. - The chalk/white board will be used to demonstrate how to find the area and perimeter of squares and rectangles. - The worksheets will be used to give students practice with finding the area and perimeter of squares and rectangles.
Notes
This is a real life lesson that allows a person to gain the knowledge to become more confident when tackling home repairs and make informed decisions as consumers.
Pages Used

Lesson Plan

Warm-Up

Activity
To get started, review the similarities and differences between squares and rectangles. - Point to a square on the chalk/white board and ask "What shape is this?" - "How do you know it is a square?" - Point to a rectangle on the chalk/white board and ask "What shape is this?" - "How do you know it is a rectangle?" - "How are these two shapes the same?" - "How are these two shapes different?"
Duration
5
minutes

Introduction

Activity
Notes
Duration
minutes

Presentation

Skill to be Presented
Math/Geometry, Math/Algebra
Steps for Presenting Skill
Show the Math Rocks! Perimeter and Area video. Ask students questions to see if they understood the what the videos explained, and demonstrate the how to find the area and perimeter of squares and rectangles on the chalk/white board. - How would you determine the perimeter of a square? [Demonstrate on the chalk/white board as the students tell you how to do it, and ask clarifying questions as you go (e.g., Do I put the block/tile/square here?)] - How would you determine the perimeter of a rectangle? [Demonstrate on the chalk/white board as the students tell you how to do it, and ask clarifying questions as you go (e.g., Do I put the block/tile/square here?)] - How would you determine the area of a square? [Demonstrate on the chalk/white board as the students tell you how to do it, and ask clarifying questions as you go (e.g., Do I just put blocks/tiles/squares around the edges?)] - How would you determine the area of a rectangle? [Demonstrate on the chalk/white board as the students tell you how to do it, and ask clarifying questions as you go (e.g., Do I just put blocks/tiles/squares around the edges?)]
Duration
20
minutes

Practice

Activities
Groupings
Small Group
Pair
Duration
30
minutes
Description
Group students in small groups or pairs. Be sure to mix high-level and low-level students, so the high-level students can help the low-level students. Guide students through the first few of shapes Determining Area with Square Units worksheet. Then, have students complete the next 4 problems in groups/pairs. Guide students through the first few shapes of the Determining Perimeter worksheet. Then, have students work through the next 4 problems in groups/pairs.

Evaluation

Duration
5
minutes
Objectives
Assessments
Oral Quiz
Description
When groups/pairs have had a chance to complete 4 problems on each worksheet, discuss the problems as a group. - How did you find the area of this square/rectangle? - How did you find the perimeter of this square/rectangle?
Student Reflection
Ask students if they think that they could use what they learned in this lesson the next time they need to buy supplies for a home project.

Application

Activities
Give students the written sample (below) Scenario: You have a backyard that you need to fence. Each Fence Panel is 6 feet wide. One side of the yard has a building as the boarder. You will not need a fence on that side. The area of the yard is 1800 square feet. The building is 60 feet. Calculate the perimeter of the building to find out how many Fence Panels you will need. Known Dimensions: Area = 1800 square feet; Building width = 60 feet; Fence Panel width = 6 feet Answer these questions: - What is the Length of the Yard? - What is the Width of Yard? - What is the Perimeter of the Yard? - How many Fence Panels do you need to purchase?
Notes
Location
Inside Classroom

Reflections