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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...
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Activity
Curated OER

Finding the Area of Polygons

For Teachers 3rd Standards
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...
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Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
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...
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Instructional Video16:02
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Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
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Lesson Plan
Curated OER

Finding Areas of Polygons and Circles

For Teachers 6th - 8th
In this math worksheet, students find the areas for the shapes. They apply the appropriate formula for each shape that is drawn and in the word problems.
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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...
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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 determine the area...
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Worksheet
Curated OER

Area of Polygons

For Students 10th
In this geometry instructional activity, 10th graders determine the area of regular polygons.  The two page instructional activity contains eight problems.  Answers provided. 
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Lesson Plan
Curated OER

Area of Polygons #5

For Teachers 9th - 12th
High schoolers explore the concept of area.  In this area worksheet, students find the area of trapezoids given a drawing and given equations of lines.  High schoolers answer 9 multiple choice problems.
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Worksheet
Alberta Learning

Area and Perimeter of Irregular Shapes

For Students 3rd - 6th Standards
Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging students to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...
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Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #9

For Teachers 9th - 11th
In this area of polygons worksheet, young scholars find the area of 12 polygons. Each shape is drawn on a grid. The area of each square on the grid is given. Problems are all multiple choice.
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Worksheet
Math Mammoth

Finding the Area of Rectangles, Parallelograms, and Triangles

For Students 9th
In 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.
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Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

For Students 9th - 12th Standards
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...
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Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
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...
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Worksheet
Math Worksheets Land

Using Tiling to Find Area - Guided Lesson

For Students 3rd - 5th Standards
By splitting a rectangle into equal parts, scholars can see area as well as calculate it. First, they determine the area of a rectangle given its side lengths. Then, they use the space provided to segment it into four equal parts,...
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Worksheet
Houghton Mifflin Harcourt

Area - Practice 18.3

For Students 4th - 5th Standards
In a straightforward assignment, learners simple calculate the area or perimeter of 14 rectangles. For the first six, a rectangle is drawn with the lengths of the sides provided. For the next six, lengths of sides are simply listed to...
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Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #8

For Teachers 9th - 12th
In this area of polygons worksheet, learners 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.
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Lesson Plan
Curated OER

Area of Polygons

For Teachers 10th
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
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Lesson Plan
Curated OER

Area of Polygons #2

For Teachers 7th - 9th
In this area of polygons worksheet, learners find the area of rectangles.  They find the width when given the area.  Students graph rectangles and solve word problems involving rectangles.  This three-page worksheet contains 13...
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Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson 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 circumference formula. 
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Assessment
Concord Consortium

Circumscribed Polygon

For Students 11th - 12th Standards
Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
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Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal. 
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Workbook
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Centre for Innovation in Mamatics Teaching

Areas and Perimeters

For Students 3rd - 6th Standards
Cover some serious area in your geometry curriculum with this collection of worksheets. After first introducing the concept of area using the tiling method, this resource continues on to teach learners how to use the area and perimeter...
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Lesson Plan
PBS

Garden Grade 6 Area and Perimeter

For Teachers 3rd - 6th Standards
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson plan. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden plots that...

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