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.
Radford University
Finding the Largest Possible Area
If you want a bigger garden, here's a task for you. Given the perimeter of a triangular garden, scholars determine the largest possible area. They then generalize their findings and extend the idea to other polygons.
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 plan, students offer written...
Curated OER
Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
Curated OER
Tessellations with Regular Polygons
Show your learners how to create tessellations using different polygons. This is achieved by having young scholars make observations of polygons to find the ones that will tessellate.
Curated OER
Find the Area
In this find the area activity, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...
Curated OER
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.
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...
Radford University
The Puppy’s Empire
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Curated OER
Sum of Exterior Angles of Polygons
Have fun calculating angles for different polygons. The class differentiate the relationship between the interior and exterior angles of polygons. They discuss linear pair as it related the polygons and their angles. This is done as they...
Curated OER
Perimeter All Around
Students explore perimeter and area of regular and irregular polygons. They experiment with color squares and create different arrangements using the same number squares. Then they compare the area and perimeter measurements of each.
Curated OER
Measuring Perimeter
Have your class practice measuring the perimeter of various objects using this resource. Fifth graders place various-sized polygons in order (from largest to smallest). They use non-standard measuring tools to estimate the distance...
Balanced Assessment
Plenty of Pentagons
Why are only four colors needed to color webs from regular pentagons, not five? An assessment task requires young mathematicians to first construct regular pentagons using a compass and straightedge, then has them consider a shape formed...
Curated OER
Tessellations
In this tessellations instructional activity, 10th graders solve 6 different types of tessellation problems that includes drawing. First, they define polygon, regular polygon, tessellation, regular tessellation, and semi-regular...
Curated OER
Interior and Exterior Angles of Polygons
In this angles of polygons worksheet, 10th graders solve and complete 18 different problems that include determining various interior and exterior angles. First, they determine the measure of various angles described in the first half of...
Curated OER
Area and Perimeter of Polygons
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
Curated OER
Area of 2D Shapes Homework
In this geometry worksheet, students solve the area of 2D shapes starting with squares, rectangles, parallelograms, triangles, rhombi, trapezoids, circles, and ending with area of shaded regions. There are 20 questions.
Curated OER
Area is Always Flat, But It's Not Always Regular
Students calculate the area of regular and irregular polygons by counting the number of whole an half squares within the polygon. They determine the formula for regular polygons and label the area in square units.
Curated OER
Math Worksheet: Area (3)
In this area instructional activity, students find the area of one irregular polygon. Students find the area by dividing the irregular polygon into multiple regular polygons.
Curated OER
Seven Sets of Area Problems
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area. The worksheets is divided into seven different sets of problems.
Curated OER
Area and Perimeter
For this area and perimeter worksheet, 10th graders solve and complete 18 various types of geometry problems. First, they find the area of a figure shown with consecutive sides perpendicular. Then, students find the area and perimeter of...
Curated OER
Area of Polygons
In this math worksheet, students find the area and perimeter of the regular and irregular polygons. They pay attention to use the proper measurements for calculation.