Virginia Department of Education
Properties of Quadrilaterals
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
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Pape's Theorems
In this math worksheet, students find the length of the side of a regular hexagon whose area is numerically equal to its perimeter.
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Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
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Discovering Perimeter
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
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Traditional American Indian Lodges
Young scholars explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size...
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
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...
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Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
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Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
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Quadrilaterals
In this geometry worksheet, 10th graders solve problems with quadrilaterals. They calculate the sum of the angles, find missing angles and identify properties of quadrilaterals. There are 16 questions with an answer key.
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Moving On: Octagoning the Circle
Students explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
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Tessellations
Students create tessellations. In this geometry lesson, students use polygons to create different patterns by rotation. They identify the reasons for polygons to create the type of tessellation it does.
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Infinite Secrets
Learners duplicate the method that Archimedes used to estimate the value of pi. They complete a data table and find the approximate values of pi for three sets of polygons.
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Area Of A Circle
Fifth graders experience a lesson to investigate the methods for finding the area of a circle. They use the drawing of segments in order to visualize how a circle can be proposed of many parts. Then students brainstorm in order to derive...
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Designing a Quilt Pattern
Students create and color a one-patch quilt design based upon a regular hexagon. They examine quilts and photos of quilt designs, read a handout, and complete their quilt design on a worksheet.
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Geometry: Area Project
Sixth graders identify and use area formulas for finding the area of geometric shapes.
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Creating Fractals
Students solve problems using fractals. In this geometry lesson, students identify properties of fractals. They find patterns in their surroundings and relate it to the real world and math.
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Surface Area of Rectagular Prisms
Sixth graders investigate the area of polygons. In this geometry lesson, 6th graders calculate area of prisms using geometric formulas. They work with prisms and other rectangular shapes.
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Quilt Squared
Students study West Virginia quilts. For this mathematics lesson, students use symmetry, geometric shapes, and patterns to create their own quilt square.
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Seeing is Believing - Or Is It?
Here is a great science instructional activity. It extends the concept of vision into the area of optical illusions, perspective, and tessellation. This well-designed plan has tons of great activities, utilizes interesting video, and...
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Fair Shares and Geometric Spirals
Students tackle the problem of how to divide a triangular piece of land fairly among four people. They decide whether their method of fair division always works or if it only works in special cases.
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Looking at Circumference
Young scholars understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
PBS
Geometry: Hide and Seek
A geometry game that resembles Battleship is the foundation for hide and seek where "hiders" draw shapes on coordinate planes and "seekers" must guess the shape and its location based on questions and clues. Reproducible, paper-sized...
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.