Interactive
Annenberg Foundation

Geometry 3D Shapes: Euler's Theorem

For Students 6th - 10th Standards
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...
Worksheet
Curated OER

Euler's Theorem

For Students 10th
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...
Lesson Plan
Curated OER

Discovering Euler's Theorem

For Teachers 9th - 10th
Learners identify different parts of a prism and polyhedra. In this geometry lesson, students identify the number of faces, edges and sides of polygons. They solve problems by recognizing patterns.
Lesson Plan
Curated OER

The Notorious Four-Color Problem

For Teachers 9th - 12th Standards
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be...
Worksheet
Curated OER

Math Matching Worksheet

For Students 9th - 12th
In this math worksheet, students match math vocabulary to definitions and then solve problems using Euler's theorem and Fleury's algorithm. Students complete 24 problems.
Worksheet
Curated OER

Taylor's Theorem

For Students Higher Ed
In this Taylor's Theorem instructional activity, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. ...
Handout
Thomson Brooks-Core

Complex Numbers

For Students 10th - 12th
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers...
Lesson Plan
Curated OER

Worksheet 19-Spring 1996

For Teachers Higher Ed
In this math worksheet, students begin with the Maclaurin series and prove De Moivre's Theorem. They use the De Moivre Theorem to solve four problems. Students apply these theorems to explain why a flock of geese will fly in an uneven...
Worksheet
Curated OER

Practice Exam Part 1: Vocabulary

For Students 4th - 6th
In this geometry worksheet, students practice constructing a variety of graphs with various degrees of vertices. Students determine whether 12 graphs have an Euler circuit or path.
Worksheet
Curated OER

Primes and Prime Factors

For Students 8th
For this primes and prime factors worksheet, 8th graders solve 21 different problems to include identifying each number as prime, composite, or neither prime nor composite and listing all the primes less than 200. Then they complete each...
Lesson Plan
Curated OER

Exploring Centers of a Triangle: Part 2

For Teachers 10th - 12th
Students model and solve a real-world problem by constructing the centroid of a triangle. They explore relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. Students investigate...
Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Polyhedrons

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about polyhedrons, Euler's Theorem, and regular polyhedrons.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Polyhedrons

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Apply Euler's Theorem.
Activity
Texas Instruments

Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus

For Teachers 9th - 10th
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
Website
Other

U of North Dakota: Fundamental Theorem of Algebra

For Students 9th - 10th Standards
A historical overview of the Fundamental Theorem of Algebra. Links to historic mathematicians and the development of this theorem.
Article
Other

The University of Edinburgh: Discrete Mathematics Graphs

For Students 10th - 12th
This article is an in-depth look at graphs. Topics covered are graph models, terminology, representations of graphs, graph isomorphism, connectivity, Euler and Hamiltonian Paths, and more. Examples and explanations are included.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula

For Students 9th - 10th
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.
Handout
Oswego City School District

Regents Exam Prep Center: Polyhedra

For Teachers 9th - 10th Standards
View and learn about five different polyhedra: tetrahedron, octahedron, icosahedron, hexahedron, and dodecahedron. Learn what Euler's Polyhedra Theorem is, and see examples of non-polyhedra as well.
Website
Other

Antonio Gutierrez: Geometry From the Land of the Incas

For Students 9th - 10th
Discovering the properties of constructions, seeing proofs in action, and viewing problems come to life here with this wonderful use of technology in the classroom. Single steps are explained and illustrated one at a time so that the...
Website
Other

Mathpages.com: History of Mathematics

For Students 9th - 10th
Find the information you need about math history, from Archimedes to Fermat. A great resource for studying the foundations of today's world of mathematics.
Activity
Other

Edumat: Geometria Interactive

For Students 9th - 10th
In this section different interactive activities are presented which can be used as supplementary material to traditional classroom and allow for interactive study of mathematics.
Activity
University of St. Andrews (UK)

University of St. Andrews: Trigonometric Functions

For Students 9th - 10th Standards
This site from the University of Saint Andrews provides an historical look at the origins of trig functions. This site ties together mathematics and history from Hipparchus to Ptolemy to Lambert.