Illustrative Mathematics
Area of a Trapezoid
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...
Curated OER
Finding the Area of Shapes
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...
Willow Tree
Area of Common Geometric Figures
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...
Government of Hong Kong
Areas and Volumes - 2D Shapes
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...
Curated OER
Finding the Area of a Triangle
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.
Curated OER
Area of Polygons #5
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.
Curated OER
Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. In this geometry lesson plan, students find the area for trapezoids, rhombuses and kites.
Shodor Education Foundation
InteGreat
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...
Illustrative Mathematics
Distance across the channel
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...
Willow Tree
Perimeter of Common Geometric Figures
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...
Curated OER
The Trapping of Trapezoids
This is a nice hands-on activity where young geometers create trapezoids and calculate their area by looking at areas of quadrilaterals and triangles.
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
Curated OER
Investigation Area of Geometric Shapes
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.
Curated OER
Why Do We Add The Bases To Find The Area of A Trapezoid?
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.
Curated OER
Area and Perimeter
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...
Curated OER
Does the Area of the Quadrilateral Change?
Students study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Students find the area of the models use a Geometer Sketchpad to find...
Curated OER
Finding the Area and Perimeter of Polygons
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...
Curated OER
Lesson 9-3 Practice A: Composite Figures
In 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.
Curated OER
Does Your Rectangle Have Guts?
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.
Curated OER
Does the Area of the Quadrilateral Change?
Seventh graders complete activities to further their understanding of area formulas. In this area lesson, 7th graders watch as the teacher uses Polystrips to model parallelograms. Students find the area of a rectangle and answer...
Curated OER
Finding Areas of Polygons and Circles
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.
Curated OER
Area of Polygons
Students 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...
Curated OER
Investigating Area Relationships
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.
EngageNY
Composite Area Problems
The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...