National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, students determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4...
Curated OER
Area of Parallelograms and Triangles
Young scholars explain the formula for finding the area of a paralellogram and its relation to the area of a rectangle. Finally, they construct the formula for the area of a paralellogram.
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Heron's Formula
Students use Heron's formula to calculate the area of a triangle. In this geometry lesson, students use three different methods to solve the area of a triangle. They find and construct the incentor and angle bisector of a triangle.
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Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area lesson, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a worksheet 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...
Utah Education Network (UEN)
Geometry
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
Curated OER
Distance Formula
Pupils create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
Curated OER
Chapter 6: Geometry Perimeter and Area
In this perimeter and area instructional activity, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric...
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Areeas of Parallelograms and Triangles
Twelfth graders are able to deduce the area of polygons by using several methods such as coordinate method. They are able to apply the area of polygons to real life situations. Students apply the Pythagorean Theorem in problem solving...
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Algebra/Geometry Institute: Area of Polygons
Middle schoolers find the area of polygons. In this area of polygons activity, students find the area of parallelograms, rectangles, squares, and other polygons. They identify each given figure and determine the appropriate...
Curated OER
Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
Curated OER
Surface Areas
In this math worksheet, students examine the measurements for the face of the triangle and trapezoid. Then they figure out the total surface area for each.
Curated OER
Finding The Area Of Shapes
Fourth graders investigate the concept of computing the area using different shapes. They use prior knowledge in order to devise a formula for a parallelogram. Scaffolding is provided by the teacher to find the formula of area for...
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Volume, Surface Area for Rectangular & Triangular Prisms
Seventh graders explore the concept of rectangular and triangular prisms. In this rectangular and triangular prism lesson, 7th graders identify various prisms as triangular or rectangular. Students discuss the various shapes of bases...
Curated OER
How To Find the Area of a Square And Rectangle
Young scholars practice using the formula to calculate the area of a square or triangle. They participate in large group guided practice using simple area of squares problems then complete a series of problems calculating the area of...
Curated OER
Area
Students use different shapes that represent tangrams to determine the area of a space. In this area lesson plan, students trace shapes and have their partners determine the area of that shape.
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Perimeter of Triangles and Rectangles
Fifth graders study perimeter. In this math lesson, 5th graders use Cheerios to find the perimeter of various polygons. Students discuss how to figure the perimeter of triangles, squares and rectangles.
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Isosceles Triangles
Students identify the properties of an isosceles triangle. In this geometry lesson, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
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Length, Perimeter, and Area
Students explore the concepts of length, perimeter and area. Students develop an understanding of length, perimeter, and area. Students calculate the area and perimeter of random shapes and calculate the area and perimeter of a triangle...
Curated OER
Lengths, Areas and Shapes - Week 9
In this lengths, areas and shapes worksheet, students explore overlapping and non-overlapping patterns. They identify the number of objects in a pattern, determine how the pattern may be folded to create additional patterns, and...
Curated OER
Fill and Wrap It Up
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Pacing a Gunther Chain
Students pace a Gunther Chain, a measurement used by foresters to determine distance and area. They discuss that pacing is individualized depending on age, gender, etc. They practice to find an average pace. Teams estimate, pace and...
Curated OER
Area-Time to Get in Shape
Students investigate the properties of triangles and parallelograms. In this geometry lesson, students calculate the formula used to find the are of a triangle and other polygons. They create a visual model to represent their findings.
Curated OER
Graphs of Formulas
In this worksheet students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.