Emily Pace
Professional Learning
Material Type:
Upper Elementary
Area, Create Shapes, Lesson Builder, Lesson Plan, Perimeter, UEN
Creative Commons Attribution Non-Commercial
Media Formats:

Education Standards

Design Shapes w. Same Area or Perimeter

Design Shapes w. Same Area or Perimeter


This lesson plan is intended to support students as their learn how to create 2 different shapes with the same area, but a different perimeter, or vice versa. 

The lesson plan has a link to a resource online found through eMedia. 


This lesson will give students the opportunity to explore creating shapes that have the same perimeter, but a different area, or the same area, but a different perimeter.   

You will want to decide how students will submit their work and prove to you they created the necessary shapes. A template in Google Slides is included if you are comfortable using it. 

Plan for 45- 60 minutes of practice time.  Could be split into multiple sessions. 

Background for Teachers

  • To teach this lesson, you will need an understanding of area and perimeter of regular or irregular polygons. 
  • Share the link for the following eMedia resource with your students. 
  • You may want to have a basic knowledge of how to help your students take screenshots to submit their work and shapes. 

Student Prior Knowledge

Prior to this lesson, students will need to have an understanding of how to find both area and perimeter of regular and irregular polygons. 

Objectives/ Learning Intentions

Learning Intentions:

  • Students will be able to create two shapes that have the same perimeter, but a different area. 
  • Students will be able to create two shapes that have the same area, but a different perimeter. 

Success Criteria:

  • Students will create two shapes correctly that meet the criteria above. 
  • Students will create a screenshot with their work. 

Instructional Procedures

1. Explain to students that since we now know to find the area and perimeter of differrent shapes, we are going to be putting that into practice.  

2. Open the resource  Area Builder to show students how to use the program. 

-Students will want to use the Explore option. 

-Change the toggle in the bottom right corner to show two different grids. 

3. Students need to produce three correct examples to show understanding on concept.  Teacher can decide how students will work (partnership, independently). 

4. Students will use the Google Slides attachment to insert their pictures on for you to review their work at a later time. If teacher is not comfortable with Google Slides,  then students will need to raise their hand to show you their work before creating a second creation. 

Copy of Google Slides

Assessment Plan

Now that students have had the chance to practice on the computer where they can easily make changes and have the scaffolding of area and perimeter being calculated for them, students will now practice on grid paper. 


Hand out grid paper to students.  Instruct students to create two shapes that meet the criteria you've chosen for this lesson, and show how they calculated both the area and the perimeter of each shape. Students should clearly outline the shape they've created.