Area of a Polygon Teacher Resources
Find Area of a Polygon educational ideas and activities
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Area of irregular Polygons: Historical Motivator - Lewis and Clark Adventure
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.
Pi Filling, Archimedes Style!
Students explore the concept of Pi. In this Pi lesson, 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.
Get to the Point! Coordinate Geometry!
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.
Finding the Area of Regular Polygons
Students 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.
From the Center of the Polygon
Students explore the concept of area of polygons. In this area of polygons lesson plan, 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.
That Area is So Regular
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.
Area of a Regular Polygon
High schoolers 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. High schoolers construct triangles within these shapes in order to find the area. Students write formulas for the area of regular polygons.
Areas of Regular Polygons and Circles
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.
Exploring Areas of Irregular Polygons
Students solve for the area of different polygons. In this geometry lesson, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
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.
How Many Trees Can You Grow?
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.
Practice 10-3 Areas of Regular Polygons
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 learning exercise contains 12 multi-step problems.
Area of Irregular Polygons
In this geometry worksheet, 10th graders determine the area of irregular polygons. The one page worksheet contains three problems. Solutions are provided.
New! Find the Area of a Polygon Using a Key
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.
If the Shape Fits
Geometers juggle the idea of polygons. Using a game and manipulatives, they make trapezoids and irregular polygons. They review the algorithms for finding the areas of squares and rectangles. On day one, they find the area of trapezoids, and on day two they find the area of irregular polygons. This lesson plan has links to the game cards, projection images, assessments, and other handouts.
Area of Polygons
Students calculate the area and perimeter of polygons. In this geometry lesson, students calculate the area and perimeter of parallelogram, triangles and rectangles. They differentiate between he different polygons.
Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
Studying the Properties of Figures Created through a Dilation
For this geometry worksheet, learners walk through several exercises to determine the effect of dilation when the scale factor is less than 1, greater than 1, or equal to 1 as well as the effect on the lengths, area, and vertices of a polygon. There are 55 questions and several pages of blank graph paper.
Seeing Prisms and Cylinders on all Sides
Students solve problems involving prisms and cylinders. In this geometry lesson, students calculate the area of various polygons and differentiate between a three dimensional and a flat shape.
Finding a Formula for the Area of a Circle
In this geometry activity, 10th graders investigate what happens to the area of a polygon as the number of sides increase and generate the formula for the area of a circle. The two page activity contains one multi-part problem. Answers are not provided.