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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
Curated OER

Measuring Area: Sensible Flats

For Teachers 3rd - 6th
Here's how to calculate the areas of polygonal figures. In this measuring area lesson, upper graders use hash marks to create and count square units. They also problem solve a cyberchase activity watching Quicktime videos.
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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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Lesson Plan
Curated OER

Area of Polygons

For Teachers 9th - 11th
Learners engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric figures are...
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Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...
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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

Is There Mystery in Measurement?

For Teachers 3rd - 6th
Investigate perimeter and area of polygons! For this measurement lesson, learners use index cards to create rectangles and trace their hand to estimate its area and perimeter.
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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-instructional activity series supports children with learning how to measure the area of squares, rectangles,...
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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 worksheet, 10th graders determine the area of regular polygons.  The two page worksheet contains eight problems.  Answers provided. 
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Lesson Plan
Curated OER

Area of Polygons #5

For Teachers 9th - 12th
Students explore the concept of area.  In this area worksheet, students find the area of trapezoids given a drawing and given equations of lines.  Students 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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Interactive
CK-12 Foundation

Area Between Curves: Income and Expenses

For Students 11th - Higher Ed
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...
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Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #9

For Teachers 9th - 11th
In this area of polygons worksheet, students 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
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.
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Lesson Plan
Curated OER

Areas of Polygons

For Teachers 9th - 12th Standards
Young mathematicians calculate the area of polygons in this algebra lesson. They find the determinant as they calculate the areas for triangles and quadrilaterals. They also use scalar multiplication to find the determinant.
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Lesson Plan
Curated OER

Learning by Logic - Total Surface Area

For Teachers 3rd - 6th
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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Lesson Plan
Alabama Learning Exchange

Polygons-Changing Area Versus Changing Perimeter

For Teachers 5th - 8th Standards
Investigate the area and perimeter of polygons in this geometry lesson. Young geometers use grid paper to draw a quadrilateral and calculate its area and perimeter. They also read The Greedy Triangle to identify the changing shape of...
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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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Interactive
PHET

Area Builder

For Students 3rd - 6th Standards
All that matters is the tiles. Pupils use the interactive to investigate the relationship between area and perimeter using tiles. The interactive has an explore and a game mode to accommodate different steps in learning. The game mode...
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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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Lesson Plan
Curated OER

Multiplication and Areas

For Teachers 3rd - 5th
Upper graders solve problems involving measurement of squares and rectangles to practice multiplication skills, finding area, and calculating prices and percentages. A performance assessment is included.

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