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Octahedron
In this math worksheet, learners develop cognitive and geometric abilities. They construct a paper model of a octahedron composed of eight triangular faces, six vertices and 12 edges.
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Truncated Tetrahedron
In this math worksheet, middle schoolers read about the truncated tetrahedron and then create a paper model. It should look like a solid comprised of 4 regular hexagonal faces, 4 regular triangular. faces, 12 vertices and 18 edges.
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Snub Cube
In this math worksheet, students create a paper model of a snub cube. It is an Archimedean solid comprised of 6 square faces, 32 equilateral triangle faces, 24 vertices and 60 edges.
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Tetrahedron
In this math worksheet, students construct a paper model of a tetrahedron. They create it to have four triangle faces, four vertices and six edges.
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Match Game: Enrichment
In this solid figures worksheet, learners choose a shape from the box that fits the bar graph totals for the faces, edges, and vertices. Students then complete the last bar graph using the one unused shape.
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Geometry Assessment: Solid Figures
In this geometry assessment worksheet, students match the drawing of two faces of the solid to the name of the solid for six geometric figures.
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How many edges do I need to cut in order to open a cube?
Students problem solve to open a cube to create different shapes. In this problem solving lesson plan, students are given a cube and the shapes to open it up to, and they have to cut the cube open to make certain shapes. This gives them...
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Tetrahedron Kites
Let's go fly a kite! Discuss the concept of two-dimensional and three-dimensional objects with your math class. They examine a triangle and discuss the face, vertices, edges, and angles. Then they build their own Tetrahedral Kites and...
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Countdown Challenge: Platonic Solids - Part I
Use a Platonic solids worksheet to record the number of faces, edges, and vertices of five polyhedra whose faces, edges, and vertices are all identical. For each figure, learners write a proof of Euler's formula (F+V=E+2). They create a...
Oleh Yudin
iCrosss
Did you know that a soccer ball is very similar to a truncated icosahedron? Both have 32 faces, but while a truncated icosahedron is made up solely of flat hexagons, a traditional soccer ball has 12 pentagons and 20 hexagons, each curved...
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Toothpicks, Gumdrops, and Polyhedrons
Sixth graders use toothpicks and gumdrops to make prisms and pyramids. This helps them explore the relationship betweeen faces, vertices, and edges.
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Edible Geometry
Young scholars examine a chart that lists the main characteristics of polygons and 3 dimensional figures. They make examples of the polygons and figures using pretzels and gum drops showing how the gum drops are vertices and the pretzels...
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Euler's Theorem
In this Euler's Theorem worksheet, 10th graders solve and complete 15 various types of problems. First, they find the distance and midpoint of a segment given its endpoints. Then, students identify the number of vertices, edges, and...
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Third Grade Geometry
Third graders describe 2D and 3D shapes. In this geometry instructional activity, 3rd graders watch a PowerPoint presentation showing the terms used when analyzing shapes: vertex, edge, angle, side, and face. They compare shapes to see...
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Visualize 3-D Objects and Make Nets of Common Solids
In this 3-D objects and common solids worksheet, students cut out and count the number of faces on several different types of boxes and make a cuboid from straws or a card. Students fill out 4 different categories involving 5 different...
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Truncated Icosahedron
In this math worksheet, learners build a model of a truncated icosahedron. This shape has 12 regular pentagonal faces and 20 regular hexagonal faces. An option to include a preview of the finished model is included for the teacher.
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Truncated Dodecahedron
In this math instructional activity, students build a truncated dodecahedron. This is a solid shape with 12 regular decagonal faces and 20 equilateral triangular faces. Students build this shape to assist in developing their cognitive...
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Polygons Defined
Fourth graders explore polygons. In this polygon activity, 4th graders sort polygons according to their properties. Students discover the connection between polygons and the Greek language.
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Identifying and Classifying Solid Figures
Learners identify solid figures. In this classification lesson, students recognize and name solid figures. Learners identify which figures contain polygons and rectangles. Students practice counting vertices, faces and edges.
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Pyramids & Prisms: Guler's Formula
Sixth graders compare and contrast two-dimensional shapes to three-dimensional shapes. After watching a demonstration, they make their own shapes using nets printed on paper. To end the instructional activity, they use the shapes they...
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Opening A Cube
Fifth graders investigate mathematical concepts related to the construction of a three dimensional cube. They construct the cube from two dimensional patterns and compute the surface area. Students also define the faces, edges, and...
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Marshmallow Geometry
Third graders create 2D and 3D shapes using marshmallows and toothpicks. In this geometry lesson, 3rd graders create their shapes and document the number of faces, edges, corners, angles, and sides. They share one shape and its...
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Three-Dimensional Play Dough
Fourth graders make models of three-dimensional figures and then use these play dough figures to observe and count the vertices, edges, and faces of the figure.
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Solidly Platonic
When they do, they learn. Using this resource, young mathematicians learn about platonic solids by actually building, touching, and examining the shapes. They connect their observations about the shapes to Euler's formula.
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