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...
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...
Savvas Learning
Area of Squares and Rectangles, Alternative Lesson
Find the area of squares and rectangles and discuss square inches and square centimeters with your young geometers. Follow the example provided, and then let learners try it for themselves! They will find the area of seven rectangles.
Curated OER
Area of Irregular Polygons
For this geometry worksheet, 10th graders determine the area of irregular polygons. The one page worksheet contains three problems. Solutions are provided.
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 formula.
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...
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.
Curated OER
Finding the Area of Polygons
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
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...
National Security Agency
Backyard Building - Area and Perimeter
Turn young mathematicians into landscape architects with this four-lesson series on area and perimeter. Beginning with a basic introduction to calculating perimeter and area using non-standard units of measurement, this instructional...
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...
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.
Curated OER
Area of Polygons
Learners 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
Area (1)
For this area worksheet, learners find the area of compound polygons. This one-page worksheet contains 2 multi-step problems.
K6 Math
Area - Square and Rectangles
After third and fourth graders understand how to find the area of squares and rectangles, give them this sheet for practice. There are three squares and three rectangles included here, but there isn't a ton of workspace.
Radford University
What’s Your Party Like? An Exploration of Area
Who knew that a party is all about the area. Individuals draw out a patio on grid paper while planning to host a party. Using colored paper to represent the total area of the patio, learners cut out furnishings to add to the patio,...
Curated OER
Area of Polygons
In this geometry instructional activity, 10th graders determine the area of regular polygons. The two page instructional activity contains eight problems. Answers provided.
Curated OER
Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. In this geometry lesson, students find the area for trapezoids, rhombuses and kites.
Curated OER
Geometric Concepts and Polygons
In this geometry worksheet, students identify the altitude, perpendicular bisector, median, angle bisector and the area of different polygons. There are 33 problems.
Curated OER
Complex Area Problems
Students calculate the area of different polygons. In this geometry lesson, students find the area of complex polygons. They solve word problems using rates and distances.
Curated OER
Perimeter and Area
In this perimeter and area worksheet, students find the surface area of given polygons. They determine the area of shaded regions. This one-page worksheet contains 10 multiple-choice problems. Answers are provided.
Curated OER
Area of a Trapezoid
In this online math worksheet, students practice finding the area of a trapezoid, given the height and length, This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...
K6 Math
Area of Squares and Rectangles
More practice provided here for your young learners! They will find the area of two squares and one rectangle. There's open workspace for your learners to calculate the area. Note that the multiplication required to solve these problems...
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