Pennsylvania Department of Education
Euler's Formula
Young scholars explore geometry by defining a list of vocabulary terms. In this shape characteristics lesson, students identify a number of different shapes and discuss the amount of edges, vertices, and faces using the Euler formula....
Annenberg Foundation
Geometry 3D Shapes: Euler's Theorem
How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...
Curated OER
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.
Curated OER
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...
Curated OER
Shapes with Sticks
Third graders investigate three dimensional shapes. They examine a variety of shapes and the relationship between the number of faces, edges, and vertices. Students determine Euler's formula and they create a variety of three dimensional...
Curated OER
Pyramids and Prisms: Guler's Formula
Sixth graders detect and categorize the attributes of geometric shapes to solve problems. In this geometry lesson, 6th graders construct a variety of polyhedra. Students recognize the relationships between two dimensional and three...
Curated OER
Geometry and Tony Smith Sculpture
Young scholars respond to Tony Smith's sculpture as art and brainstorm about math concepts inherent in his work. They create a sculpture with polyhedra nets, calculate the cost of covering sculpture in gold, and write an exhibit label...
Curated OER
Faces, Vertices, Edges
Students identify the parts of three dimensional objects. In this geometry instructional activity, students find the number of faces, edges and vertices. They differentiate between prisms and polyhedra.
Curated OER
Geometry Journal: Classifying Solids
In this geometry worksheet, 10th graders respond to journal prompts related to prisms and classifying solid shapes. The two page worksheet contains nine questions. Answers are included.
Curated OER
Examining Geometric Solids
Students explore geometry by completing a math worksheet in class. In this shape identification lesson, students identify the characteristics associated with 15 solid geometric shapes. Students identify patterns between vertices, edges...