Embedded Files
Area and Perimeter of Rectangles
Area and Perimeter of Rectangles
On a computer? Click File then Make a Copy to save and make changes.
On an iPad? Select the 3 dots in the top right hand corner, Share and Export then Make a Copy.
Content
Content
Expectations: E 2.5, E 2.6
Expectations: E 2.5, E 2.6
Key Concepts
Students explore the concept that area can remain constant while the shape and perimeter of the shape may vary.
Learning Goal
Learning Goal
We want students to understand...
We want students to understand...
You can represent and compare perimeter and area in a variety of ways
You can use what you already know about multiplication and apply it to calculate the area of a rectangle.
Success Critera
Success Critera
I can relate multiplication (fact families) to calculate the area
I can calculate the perimeter and area
I can show that rectangles with the same area have different perimeters
Pedagogy
Pedagogy
Minds On
Minds On
Teacher Demo Video
Teacher Demo Video
Demonstration on how to use the Relational Rod App to calculate perimeter and area.
Place a dark green rod on a grid. Trace its outline with a rectangle and remove the rod. Demonstrate how to calculate the perimeter. Demonstrate how to calculate the area.
Have the students add a yellow rod to the grid. Have the students find its perimeter and area. Ask them to create a different shape on the grid using a yellow and a dark green rod. The rods must touch along at least one centimeter and the edges of the rods must touch the grid lines. Ask the children if they think the perimeter and area of the shape they made will be the same as those of the first shape?
For Educator Reference:
White= 1 Dark Green= 6
Red=2 Black= 7
Light Green= 3 Brown=8
Purple= 4 Blue=9
Yellow=5 Orange=10
(Source: Super Source Grade 5-6: Cuisenaire Rods)
Action!
Action!
Create a shape (on the Relational Rod App using the grid paper) using 4 Cuisenaire Rods: 1 purple, 1 black, 1 yellow, and 1 brown. Follow these rules:
All the edges of your shape must touch grid lines.
Touching rods must join along at least 1 centimeter:
The rods must not “fence in any open spaces.
Trace your shape. Then find and record the area and perimeter of your shape.
Use the same rods to make new shapes. Trace each new shape you make, then find and record its area and perimeter.
Find the least and the greatest perimeters possible with the same rods.
Now see if you can make shapes with all the perimeters between the least and the greatest.
Consolidation
Consolidation
Discuss and Do with your class:
When you make new shapes, what changes? What stays the same?
What is the relationship with area, shape and perimeter?
Independent Task/Assessment Opportunities
Independent Task/Assessment Opportunities
What perimeters are impossible with your rods? Why?
Are some perimeters impossible for the set of rods? Which are they? Why are they impossible?
If you want to make a shape with a short perimeter, what should you do with your rods? What if you want to make a shape with a long perimeter?
Technology
Technology
virtual manipulative
virtual manipulative
Relational Rods (by Mathies)
Relational Rods (by Mathies)
in DSB1 App Catalogue
Additional Resources
Additional Resources
Make Math Meaningful: Perimeter Jumble Lesson
Make Math Meaningful: Perimeter Jumble Lesson
This takes the classic maximizing the area of a rectangle problem and adds elements of curiosity and purposeful practice to help reveal the relationship.
Math Background
Math Background
This background chart gives you information to support your teaching of perimeter and area of rectangles.
This background chart gives you information to support your teaching of perimeter and area of rectangles.
Misconceptions
Misconceptions
This misconception chart will help you support students' understanding, remediate learning gaps and correct errors around perimeter and area of rectangles.
This misconception chart will help you support students' understanding, remediate learning gaps and correct errors around perimeter and area of rectangles.
Page updated
Report abuse