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...
Illuminations
Circumference and Areas of Circles
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference lesson, pupils understand how to find the radius, diameter, area of a...
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...
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...
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...
Curated OER
Area of a Trapezoid
In this online math instructional activity, 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...
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...
Corbett Maths
Area under a Graph
What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...
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
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
Simple Area of a Rectangle
These rectangles have everything scholars need to find the area, but none of them has units. Beginners to this skill multiply the length and width, all of which are whole numbers, to calculate and record the area for each. Consider...
Math Mammoth
Finding the Area of Rectangles, Parallelograms, and Triangles
For this area of polygons activity, 9th graders solve two area of rectangles, one area of parallelogram, and ten area of triangles problems. The formulas for finding the area of these figures are provided.
Illustrative Mathematics
Finding Areas of Polygons, Variation 1
An exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Texas Instruments
Areas of Regular Polygons and Circles
Learners explore area of polygons and regular polygons in this math instructional activity. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.
Math Worksheets Land
The Area of Rectangles - Guided Lesson
Geometry novices will enjoy this approach to finding area, as they aren't required to include units or a formula. The main objective here is to segment a rectangle into columns and rows to create squares, which then are used to find the...
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...
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Curated OER
Measurement: Finding Areas of Rectangles
Gardening geometers construct the formula for the area of a rectangle by viewing a video revolving around two young people, their lawn mowing business, and their need to charge by the square meter. A relevant real-life application lesson!
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
Finding the Area and Perimeter of Polygons
Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...
Curated OER
Finding the Area of a Parallelogram with Translations
Students calculate the area of a parallelogram. In this geometry lesson, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.
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...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson plan challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and...