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...
Interactive
Curated OER

Area of a Trapezoid

For Students 9th - 12th
In this online math worksheet, high schoolers 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...
Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Instructional Video14:56
Corbett Maths

Area under a Graph

For Students 8th - 12th Standards
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...
Worksheet
Curated OER

Area of a Trapezoid

For Students 7th - 8th
For this trapezoid worksheet, students examine given data and compute the area of trapezoids.  They identify the base and height of each figure.  This one-page worksheet contains 18 problems.  Answers are provided.
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
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 challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Instructional Video18:24
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Flipped Math

Area of Trapezoids, Kites, and Rhombi

For Students 9th - 12th
Everything will add up. Learners find the areas of trapezoids, kites, and rhombi by using the area formulas. Scholars find any missing information needed to use within the formula and continue to use prior knowledge and practice...
Worksheet
Curated OER

Areas of Trapezoids

For Students 10th
In this geometry worksheet, 10th graders determine the area of the given trapezoids.  The one page worksheet contains fourteen problems.  Answer key is provided. 
AP Test Prep28:02
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Flipped Math

Calculus AB/BC - Approximating Areas with Riemann Sums

For Students 10th - 12th
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
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...
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...
Assessment
Mathed Up!

Surface Area

For Students 7th - 10th Standards
Surface area is the sum of the parts. Given the measurements of different prisms, pupils determine their surface areas. Individuals find the area of each surface and figure out the surface area by finding the sum. The video, part of a...
Lesson Plan
Curated OER

Finding the Area of a Triangle

For Teachers 5th
Fifth graders investigate the area of a triangle. In this geometry lesson, 5th graders practice finding the area of a triangle using the correct formula: 1/2bh.
Interactive
Curated OER

Surface Area of Prism

For Students 10th
Tenth graders are provided instructions, including a video, on calculating the surface area of a prism. The one-page interactive worksheet contains two worked questions. Answers are included. 
Unit Plan
Radford University

Natural Disaster Recovery and Quadrilaterals: Trapezoids and Land Assessments

For Students 9th - 12th Standards
After a tornado, an insurance company is in need of finding the area of a plot of land. Pupils use their knowledge of trapezoids and area formulas to calculate the area of the plot of land. The scholars work in groups to justify the...
Worksheet
Curated OER

Similar Triangles and Trapezoids, and Circles

For Students 9th - 12th
High schoolers answer two problems involving area of shaded regions. Learners then answers six questions involving perimeter, area, and circumferences. The remaining two questions involve ratios of similar figures.
Performance
Radford University

Filling Up a Swimming Pool Task

For Teachers 9th - 12th Standards
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
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.
Lesson Plan
Curated OER

Areas of Trapezoids, Rhombuses and Kites

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

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Lesson Plan
Illustrative Mathematics

Distance across the channel

For Teachers 7th - 9th Standards
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
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.