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...
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...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
Curated OER
Area of Polygons
In this geometry worksheet, 10th graders determine the area of regular polygons. The two page worksheet contains eight problems. Answers provided.
Curated OER
Is There Mystery in Measurement?
Investigate perimeter and area of polygons! In this measurement lesson, learners use index cards to create rectangles and trace their hand to estimate its area and perimeter.
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Curated OER
Area of Polygons
Students engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric figures are...
Curated OER
Areas of Polygons
Young mathematicians calculate the area of polygons in this algebra lesson plan. They find the determinant as they calculate the areas for triangles and quadrilaterals. They also use scalar multiplication to find the determinant.
Curated OER
Geometry Practice: Area of Polygons #8
In this area of polygons worksheet, high schoolers solve 7 short answer and multiple choice questions about area. Students find the area of triangles given base and height, or points in the coordinate plane.
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Curated OER
Perimeter and Area of Complex Figures
In this perimeter and area worksheet, students solve 6 word problems where they must determine the perimeter or area of complex figures. Diagrams are provided and real world applications like gardens and carpeting are used in the problems.
CK-12 Foundation
Area Between Curves: Income and Expenses
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate 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.
National Security Agency
Awesome Area - Geometry and Measurement
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-instructional activity series supports children with learning how to measure the area of squares,...
Curated OER
Area of a Parallelogram
Fifth graders will use geoboards to construct parallelograms. They will determine the area of a rectangle and then apply that thinking to determine the area of a parallelogram. Note: The format of this lesson is much like a PowerPoint,...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Curated OER
Perimeter and Area of Polygons
In this polygons worksheet, 10th graders solve 10 different problems that include finding the perimeter and area of various polygons. First, they determine the length of the base of a rectangle given its height. Then, students determine...
Curated OER
Finding the Area and Perimeter of Polygons
Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Corbett Maths
Area under a Graph
What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...
Curated OER
Calculating Perimeter and Area of Polygons
Students discuss strategies for estimating information about various shapes. Once they draw and label four shapes with perimeters of 30 units, they calculate the areas of the figures. To complete the lesson, students offer written...