Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
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...
Lesson Plan
Curated OER

Finding the Area of Shapes

For Teachers 3rd - 5th
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
Lesson Plan
1
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Curated OER

Areas of Geometric Shapes with the Same Perimeter

For Teachers 7th - 9th Standards
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
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...
Lesson Plan
Curated OER

Area of Tangram Pieces

For Teachers 3rd - 4th
Mathematicians calculate the area of a tangram piece without using formulas. They use a geometry journal to record activities during this instructional activity. They make a set of tangrams and use them to...
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
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.
Lesson Plan
Illustrative Mathematics

Finding Areas of Polygons, Variation 1

For Teachers 5th - 9th Standards
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...
Lesson Plan
National Security Agency

Awesome Area - Geometry and Measurement

For Teachers 2nd - 4th Standards
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...
Lesson Plan
EngageNY

Unknown Length and Area Problems

For Teachers 9th - 10th Standards
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
Lesson Plan
Curated OER

Scale Drawing: Perimeter and Area of a Room

For Teachers 6th - Higher Ed
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Lesson Plan
Curated OER

Measurement: Finding Areas of Rectangles

For Teachers 3rd - 5th Standards
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!
Lesson Plan
Illustrative Mathematics

Eight Circles

For Teachers 6th - 9th Standards
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Lesson Plan
Curated OER

Secret Formulas

For Teachers 3rd - 5th
Learners calculate the perimeter of rectangles and squares. They imagine trying to build a fence around a yard or trying to determine how much paint they need to paint a room. They also develop formulas and procedures for determining the...
Lesson Plan
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Illustrative Mathematics

Shape Hunt Part 2

For Teachers Pre-K - 1st Standards
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second lesson plan in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the...
Lesson Plan
EngageNY

Surface Area II

For Students 7th Standards
Examine the surface area of composite figures using an exploratory approach. As a continuation of the previous lesson plan of the 29-part series, young scholars develop plans for finding the surface area of composite figures. Examples...
Lesson Plan
Curated OER

The Trapping of Trapezoids

For Teachers 6th - 8th
This is a nice hands-on activity where young geometers create trapezoids and calculate their area by looking at areas of quadrilaterals and triangles. 
Lesson Plan
Curated OER

The Area of a Circle

For Teachers 8th
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #8

For Teachers 9th - 12th
In this area of polygons worksheet, students solve 7 short answer and multiple choice questions about area.  Students find the area of triangles given base and height, or points in the coordinate plane.
Lesson Plan
Virginia Department of Education

Out of the Box

For Teachers 6th Standards
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
Lesson Plan
Beyond Benign

Hit the Deck: Area and Perimeter Review

For Teachers 6th - 8th
Designing a deck sure demands a lot of math. Future engineers and architects learn about the areas and perimeters of squares, rectangles, triangles, and composite figures. They apply their new knowledge to design a deck with a specified...
Lesson Plan
EngageNY

Volume of Right Prisms

For Students 7th Standards
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
Lesson Plan
Curated OER

Investigation Area of Geometric Shapes

For Teachers 4th
Fourth graders use triangle paper to design patterns using geometric figures and find the areas of those figures by counting units. Students are assessed by determining which figure has the greatest area and explaining their reasoning.