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....
Curated OER
Analyzing Solutions Computed Using Euler's Method
In this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...
Curated OER
Discovering Euler's Theorem
Students 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.
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
Euler Fortune Problem
In this problem solving worksheet, students solve for the amount of the fortune a father starts with before he divides it among his children, given a set of clues. Students must also solve for how many children the money is divided...
Curated OER
Introduction to Mathematical Modeling
In this mathematical modeling activity, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
Curated OER
Newton's Law of Cooling
In this Newton's Law of Cooling worksheet, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe a model in...
Mt. San Antonio Collage
Exponential Growth and Decay
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.
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
A Model for the Spread of Disease
In this model worksheet, students explore a real life scenario to determine the rate at which a disease may spread. They use Euler's Method and the SIR model to determine values at a given point in time. This two-page worksheet...
Curated OER
Euler's Method
In this Euler's method learning exercise, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page learning exercise...
Curated OER
Rate Equation
In this rate equation learning exercise, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page...
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Curated OER
Practice Exam Part 1: Vocabulary
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.
Curated OER
Primes and Prime Factors
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...
Curated OER
Eulerian Paths and Circuits
Students explore the concept of euler paths and circuits. In this euler paths and circuits lesson, students discuss the bridges of Königsberg problem. Students discuss how to determine if an euler circuit exists. Students discuss the...
Curated OER
Gyroscopes in Motion
Physics stars will enjoy learning about the conservation of energy as you demonstrate gyroscope precession. The lecture is broken into five subtopics: cross product, rotating vectors, angular momentum, rotating rigid bodies, and torque...
Curated OER
Math Matching Worksheet
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.
Curated OER
Polygons and Vertices
In this geometry instructional activity, students analyze different polygons and relate it to a circuit board. They find the odd degree Euler circuit and identify the vertices of the odd degree. There are 3 questions with an answer key.
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
Triangles
In this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...
Curated OER
Counting Squares
In this counting squares worksheet, students solve 2 problems that include counting 2 different sets of squares. First, they draw a picture of four squares arranged in two rows of two. Then, students determine the total number of squares...
Curated OER
Tessellations
In this tessellations activity, 10th graders complete 8 various types of problems related to a tessellation of the plane by regular polyhedral. First, they draw the vertex figures for each of three regular tessellations and determine...
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,...