Texas Instruments
Areas of Regular Polygons and Circles
Learners explore area of polygons and regular polygons in this math activity. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.
Curated OER
Area and Perimeter
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
Curated OER
Finding the Area of Regular Polygons
Learners 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...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson plan 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...
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 & Area Worksheet I
In this perimeter and area worksheet, students find the perimeter and area of regular polygons. They identify the perimeter and area of polygons such as triangles, trapezoids, circles, rectangles, and parallelograms. Students write the...
Curated OER
Area and Perimeter of Regular Polygons - An Extension
Pupils explore the relationship between area and perimeter of polygons.They measure the area and perimeter of regular polygons inscribed in a circle. Learners then discuss how as the number of sides of a regular polygon increase, the...
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
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-lesson series supports children with learning how to measure the area of squares, rectangles, and other...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson plan 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...
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 activity, students offer written...
Curated OER
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.
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...
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.
Houghton Mifflin Harcourt
Developing Formulas for Circles and Regular Polygons
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
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,...
Curated OER
Area of Polygons
Students engage in a instructional activity that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the instructional activity in order to solve problems given by the teacher for independent...
Curated OER
Powerful Polygons
Students scan the classroom to find different common shapes. They listen as the teacher defines polygon and regular polygon. The teacher demonstrates regular polygons via the Internet and the "Math is Fun" web site. Students go outside...
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...
Texas Instruments
Construction Regular Polygons
Learners investigate the process necessary to construct regular polygons. They explore the degree measures of the angles in a regular polygon. Using this information and technology in the form of Cabri Jr., your pupils will construct...
Curated OER
Interior Angles of Regular Polygons
Learners investigate the interior angles of a triangle. In this geometry lesson, students create the formula to calculate the angles inside a triangle. They observe the total sum of a triangles angle on the navigator.
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.
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.
Curated OER
Areas of Polygons
Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.