Curated OER
Discovering Euler’s Formula for Planar and 3D Figures
In this Geometry worksheet, 10th graders investigate the number of regions, edges, and vertices of sixteen planar figures in order to discover Euler’s Formula. The two page worksheet contains a chart for the results of the investigation...
Pennsylvania Department of Education
Euler's Formula
Students 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. Students...
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...
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
Curated OER
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...
Thomson Brooks-Core
Complex Numbers
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 and a...
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
Slope Fields and Euler's Method
For this slope field worksheet, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page worksheet...
Curated OER
Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
Curated OER
The Notorious Four-Color Problem
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 colored. One rule: no...
West Contra Costa Unified School District
Interest and the Number “e”
Make a connection between different types of interest and how they are calculated! This algebra II lesson progresses from simple interest to compound interest to continually compounded interest. Formulas are developed rather than given,...
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
Introduction to Polyhedra
Students investigate Euler's Formula. In this geometry lesson, students perform an inductive activity of Euler's Formula using nets to identify a variety of prism, pyramids, cylinders, and cones.
Curated OER
Complex Analysis: Polar & Exponential Forms
In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.
Curated OER
Properties of Exponential Functions
In this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Curated OER
Pi
Sixth graders read the book "Sir Cumference and Knights of the Round Table" to introduce them to the concept of Pi. As a class, they discover where Pi originated and define the terms circumference, radius and diameter. To end the...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
More on Tessellations
In this tessellations worksheet, 10th graders solve 3 different word problems that include creating various tessellations. First, they group pentagons around a vertex so the angles add up to 360 and determine whether the pentagons can...
Curated OER
Geometry and Tony Smith Sculpture
Learners 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 for...
Curated OER
Faces, Vertices, Edges
Students identify the parts of three dimensional objects. In this geometry lesson, students find the number of faces, edges and vertices. They differentiate between prisms and polyhedra.
Curated OER
Worksheet 19-Spring 1996
In this math worksheet, pupils 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...
Curated OER
e, pi, and Exponential Functions
Students investigate e, pi and exponents. In this calculus lesson, students define constants and non-constants using, pi, e and exponents as an example. They use the TI to work the problems in this lesson.
Curated OER
Worksheet 18 - Spring 1996
In this math instructional activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.