Filter
Top Products
© Learning Resources, Inc., Vernon Hills, IL (U.S.A.)
Learning Resources Ltd., King’s Lynn, Norfolk (U.K.)
Please retain our address for future reference.
Made in China. LRM4331-GUD
Fabriqué en Chine. Informations à conserver.
Made in China. Bitte bewahren Sie unsere
Adresse für spätere
Nachfragen auf.
Hecho en China. Conservar estos datos.
Euler’s Formula
Euler’s Formula is named after Swiss mathematician Leonard Euler. In the mid-eighteenth
century, Euler discovered that for any polyhedron, F + V = E + 2. In the formula, F represents
the number of faces, V represents the number of vertex points, and E represents the number of
edges. For example, a cube has 6 faces, 8 vertex points, and 12 edges.
F + V = E + 2
6 + 8 = 12 + 2
Have the students use their data from the preceding chart to discover Euler’s Formula. Euler’s
Formula is true for the rst nine solids listed in the table.
Intervention Strategies
Scaffolded Instruction: Before providing formulas to students, instead provide the
denitions of perimeter and area, and opportunities to solve problems that allow students
to gain data leading to the use of a formula. Begin with two-dimensional shapes before
advancing to three-dimensional solids.
Directed Orientation: Use different household items that resemble a cube, cone, sphere,
cylinder, pyramid, or prism. Have students sort the items by different attributes you provide.
Then, introduce the formal shapes and have students match the shapes to the corresponding
household items.
Free Exploration: Have students ll the solids with rice or water to explore properties of
volume. Encourage students to make estimations and compare which shapes are able to hold
more or less than the others.
Visit our website to write a product review
or to find a store near you.