Area of a Polygon Teacher Resources

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Students explore the concept of area.  In this area lesson, students determine the area of regular polygons on their Ti-Nspire.  Students find the area of triangles, pentagons, hexagons, and heptagons.  Students use trigonometric relationships to find the area of the regular polygons.
Learners develop formulas for finding area of regular polygons.  In this developing formulas for finding area of regular polygons lesson, students use Cabri Jr. to construct hexagons and octagons.  Learners construct triangles within these shapes in order to find the area.  Students write formulas for the area of regular polygons.
Learners explore area of polygons and regular polygons in this math lesson. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.
In this geometry worksheet, 10th graders determine the area of irregular polygons.  The one page worksheet contains three problems.  Solutions are provided.
Seventh graders find the area of irregular polygons. In this lesson on calculating area, 7th graders use the adventures of Lewis and Clark as motivation to learn how to calculate the area of irregular polygons.
In this area of a polygon worksheet, students solve word problems and short answers based on the area of polygons. Students complete 10 problems.
For this trigonometry and area worksheet, students, given the apothem, find the area of regular polygons. Afterward, they determine the area of rectangles. This one-page worksheet contains 22 problems.
Students explore the concept of Pi. In this Pi instructional activity, students calculate the area of regular polygons inscribed and circumscribe around a unit circle. Students use their data to create an algorithm to find Pi with never ending digits.
Tenth graders explore area of polygons. They find the areas of geoboard polygons using the coordinate method. Additionally, learners investigate problem solving using a coordinate approach.
Students explore the concept of area of polygons.  In this area of polygons lesson, students use their Ti-Nspire to find the area of regular polygons.  Students break down each regular polygon into triangles and determine the area of each polygon by finding the area of the triangles.
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.
Students solve a story problem about how many trees can be planted in a given area. Using a map, they gather information about the size of the area and the dimensions of an acre. They use a specific equation to determine the area of irregular polygons.
Young scholars analyze relationship between the increase in polygons sides and a circle. In this geometry lesson, students relate the size of the central angle of a polygon, to a circle. They compare the formula for the area of a polygon and a circle.
Students solve for the area of different polygons. In this geometry lesson plan, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
In this areas of regular polygons, students find the area of given polygons. They determine the measure of specified angles, and find the area of equilateral triangles when given the radius. This one-page worksheet contains 12 multi-step problems.
In this areas of regular polygons, students find the values of variables for regular polygons. They determine the measurement of angles, identify the apothem and identify similar figures. This two-page worksheet contains 26 problems.
Use prior experience with the array model of multiplication to teach young mathematicians how to find the area of rectangles in the first video of this four-part series. Multiple examples are presented that clearly demonstrate this process using visual models. A separate Guided Practice video offers an opportunity for young learners to demonstrate their understanding. Implement this resource to supplement whole-group instruction or assign as an independent learning activity to complement a lesson on area.
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular array, while explaining in their own words what part of the shape they measured for each. To be successful, pupils need familiarity with different types of shapes (e.g. pentagon, triangle, quadrilateral, and rectangle), making this best suited as a guided practice activity following an introduction to polygons.
The third video in this series of four focuses on the next level of complexity with finding area: using a key where one section of a picture represents more than one square unit. A review of using a key with a graph to count by 10s begins the lesson. Then, several examples show how to count by the number indicated in the key when determining area.
In this composite figures worksheet, students solve twelve short answer problems. Students find the area of figures composed of various polygons given a sketch of the figure with side lengths labeled.

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Area of a Polygon