Curated OER
Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This instructional activity can be...
Curated OER
Measurement: Finding Areas of Rectangles
Gardening geometers construct the formula for the area of a rectangle by viewing a video revolving around two young people, their lawn mowing business, and their need to charge by the square meter. A relevant real-life application activity!
PBS
Frame Yourself: Area and Perimeter
Elementary schoolers are arranged in pairs and view the video Math Works: Measurement: The Difference Between Perimeter and Area. They discuss any prior knowledge they have of the term perimeter and then brainstorm together what the...
Shodor Education Foundation
Triangle Area
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Curated OER
Area, Arithmetic and Algebra
Explore the concept of this perfect square trinomial and difference of squares lesson. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.
Curated OER
Area of Rectangles and Triangles
Eighth graders practice calculating the perimeter of different shapes. As a class, they work together to calculate the area of rectangles and triangles using the proper formula. To end the lesson, they determine how many feet are in a...
Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular lesson. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry instructional activity, students calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from instructional activity number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles...
Utah Education Network (UEN)
The Pasture and the Fence
Beginning geometers use tiles and grid paper to draw and calculate perimeter and area. Rectangles of different sizes are created and then measured to build understanding. The one-inch grid sheet referenced is attached.
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle...
Balanced Assessment
County Concerns
Apply area concepts to help farmers and settle county disputes. Scholars use a given diagram and information about an insecticide spraying campaign to determine the monetary benefit to farmers. They then decide which of two counties has...
Curated OER
Dimensions and Area
Learners explore the area of rectangles in this middle school geometry lesson. They will investigate the relationship between a change in the dimensions of a rectangle and the change in the corresponding area. Learners also investigate...
Curated OER
Comparing Area and Perimeter
Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.
Curated OER
Finding Area of Similar Figures
Learners explore the concept of finding area of similar figures. For this finding area of similar figures lesson, students use pattern blocks to construct similar figures. Learners trace their construction and find the area. Students...
Curated OER
Robot Area
Students calculate the area of different polygons. In this geometry lesson, students explore polygons based in their shape and number of sides. They find the formula for the area and use each specific formula for each shape.
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? In this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition, they...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Curated OER
Rectangular Gardens Within A Given Perimeter
Sixth graders design rectangular gardens with a given perimeter and generalize how to maximize the area Students applying the formulas for perimeter and area of polygons. They analyze length, area, and volume and make relationships...
Curated OER
Patterns and Functions
Students investigate properties of perimeter and area. In this middle school mathematics lesson, students explore patterns in a problem solving context. Students model and solve problems using various representations for the data as...
Balanced Assessment
Gligs and Crocs
Explore relationships between perimeter and area. Learners compare the measurement units of gligs and crocs. They use a given perimeter and area as well as specific measurement relationships to determine the scale of gligs to crocs.
Curated OER
Building Storm Shelters
Sixth graders explore area and perimeter. In this online interactive area and perimeter lesson, 6th graders investigate why the perimeter of rectangles can vary considerably even when the area is held constant. Students construct...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.