Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson 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 and use Green's...
Curated OER
Side Length, Perimeter, and Area of a Rectangle
High schoolers calculate area, perimeter and length of rectangles. In this geometry instructional activity, students create different formulas for the problem they are being asked to solve. They use the navigator to move the shape around...
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a activity on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
EngageNY
Unknown Area Problems on the Coordinate Plane
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
Curated OER
Explorations for the Area Probability Applet
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
Curated OER
Introductory to Area (Squares, Rectangles, and Triangles)
Middle schoolers explore the concept of finding area. In this finding area lesson, students use knowledge of area of triangles to find area of squares and rectangles. Middle schoolers find area of irregular figures by breaking the...
Curated OER
Area of Rectangles
Seventh graders review the concept of finding the areas of a rectangle. This lesson uses the classroom as a real life application for the formula of area. They measure classroom in order to compute the area.
Curated OER
Investigation Designing a Patchwork Quilt
Fourth graders practice calculating area by creating a classroom quilt. Students are given a 6x6 inch square material they design based on a classroom theme. A sample of the class quilt is created using graph paper so students may...
Curated OER
Areas of States - Estimation
Students estimate the area of states using the formulas for the areas of rectangles, squares, and triangles. In this geometric shapes lesson plan, students divide irregular shaped states into shapes. They use the formulas for areas of...
Curated OER
Dog Pen Problem
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Curated OER
Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
Curated OER
Finding the Area and Perimeter of Polygons
Seventh graders practice finding the area and perimeter of polygons. In this polygon area activity, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make...
Curated OER
ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
Curated OER
Perimeter and Area
Fifth graders identify the area and perimeter of a rectangle. In this perimeter lesson, 5th graders use geoboards and rubber bands to construct various rectangles. Students use the formula to calculate area and perimeter of the...
Curated OER
Finding Area
Seventh graders explore the concept of area. In this area lesson, 7th graders determine what measurements are necessary to find the area of a rectangle and circle. Students use area formulas to calculate area or rectangles and circles.
Curated OER
How Many Units?
Young mathematicians calculate the area of rectangles and squares. In this geometry lesson, learners are grouped in pairs and use geoboards to construct rectangles. They calculate the area of the figure by counting the number of square...
Curated OER
Triangles
This unit enables scholars to apply the rule for area of a triangle (area equals half base times height). They practice multiplication and division strategies as they calculate areas.
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...
Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Curated OER
Count Them Up
Pupils calculate area using the geoboard application on their calculators. They use a TI-73 calculator to find the areas of the shapes provided in the accompanying worksheet. Screen shots and instructions for creating shapes in the...
Curated OER
Area of Composite Polygon
Eighth graders are shown a blueprint of a house and must determine the amount of carpet needed. In groups, they calculate the area of rectangles and triangles and apply them to the shapes in the blueprint. To end the lesson, they...
Curated OER
Worksheet-Scale Drawing-Unit One
In this scale drawing worksheet, students find the area of a compound shape. Students are presented with a drawing of two different sized rectangles that share one side. They compute the size of each rectangle and add their areas...