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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
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, learners apply this new knowledge to determine the area...
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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...
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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. 
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Lesson Plan
Curated OER

Finding the Area and Perimeter of Polygons

For Teachers 7th
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...
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Lesson Plan
Curated OER

Perimeter & Area Worksheet I

For Teachers 7th - 8th
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...
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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.
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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
Curated OER

Area of Polygons

For Teachers 9th - 11th
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...
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Lesson Plan
Curated OER

Investigating Area Relationships

For Teachers 9th - 12th Standards
Learners investigate the area of various figures. They construct triangles and quadrilaterals using Cabri Jr. and discuss the relationships between different angles, side lengths, and figures.
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Lesson Plan
Curated OER

Area and Perimeter

For Teachers 10th
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...
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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 activity challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
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Lesson Plan
Curated OER

Why Do We Add The Bases To Find The Area of A Trapezoid?

For Teachers 6th - 8th
Students are given patterns of trapezoids and are to calculate the area of one trapezoid by using both patterns. They should form a parallelogram and calculate the area. They practice this technique until there is understanding.
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Lesson Plan
Curated OER

Does Your Rectangle Have Guts?

For Teachers 3rd - 4th
Does it? Kids find the perimeter and area of different shapes to assess whether their rectangle has guts. In addition to finding the area of a rectangle, learners work to find the area of a trapezoid. All worksheets are included. 
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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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Lesson Plan
Curated OER

Areas of Trapezoids, Rhombuses and Kites

For Teachers 8th - 10th
Learners calculate the area of different polygons. In this geometry lesson plan, students find the area for trapezoids, rhombuses and kites.
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Lesson Plan
Curated OER

Area and Perimeter of Polygons

For Teachers 10th
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
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Lesson Plan
Curated OER

Does the Area of the Quadrilateral Change?

For Teachers 5th - 6th
Learners study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Learners find the area of the models use a Geometer Sketchpad to find...
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Lesson Plan
Curated OER

Developing Formulas for Triangles and Quadrilaterals

For Teachers 10th
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
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Lesson Plan
Curated OER

Area Formulas

For Teachers 6th - 8th
Students use the area formula for a rectangle to identify the area formulas for triangles, parallelograms, and trapezoids. In groups they complete a variety of worksheets, and examine irregular figures whose areas can be determined by...
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Lesson Plan
Curated OER

Lesson 9-3 Practice A: Composite Figures

For Teachers 8th - 12th
For this composite figures worksheet, students solve twelve short answer problems. Students find the area of figures composed of various polygons given a sketch of the figure with side lengths labeled.
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Lesson Plan
Curated OER

Tricky Traps

For Teachers 9th - 11th
Students create identify properties of trapezoids. In this geometry lesson, students calculate the area of given trapezoids and review the area formula for parallelograms. They draw a correlation between the area of a trapezoid and that...
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Lesson Plan
Curated OER

The Trappings of Trapezoids

For Teachers 8th - 10th
Students define trapezoids and their shapes. In this geometry lesson, students calculate the area of a trapezoid and a parallelogram. They use Cabri software to make investigations.
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Lesson Plan
Curated OER

Area Formulas

For Teachers 9th - 12th Standards
Teach your pupils to calculate the area of different polygons. Learners create formulas to solve their problems. They use the TI navigator to graph their shapes and observe the change in area.

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