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\n\"Euler’s\n\n
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\nEngageNY\n
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\nEuler’s Number, e\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nScholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. \n
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Interactive
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\n\"Geometry\n\n
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\nAnnenberg Foundation\n
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\nGeometry 3D Shapes: Euler's Theorem\n

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\n\nFor Students\n\n6th - 10th\n\nStandards\n
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\nHow 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...\n
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Lesson Plan
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\n\"Euler's\n\n
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\nEuler's Method Introduction\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians define and use Euler's method to solve problems in this calculus instructional activity. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.\n
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Worksheet
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\n\"Euler's\n\n
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\nEuler's Method\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.\n
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Printables
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\n\"e\n\n
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\nChapman University\n
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\ne Poster\n

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\n\nFor Teachers\n\n9th - Higher Ed\n
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\nAn interesting poster or handout showing Euler's number, e, as the calculated sum of an infinite series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and fascinating...\n
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\n Euler's Method\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.\n
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\n\"Euler's\n\n
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\nEuler's Theorem\n

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\n\nFor Students\n\n10th\n
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\nIn 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...\n
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\n\"Practice\n\n
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\nCurated OER\n
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\nPractice with Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's Method activity, students determine the rate of change in given functions They use Euler's Method to approximate the solution of an equation. This two-page activity contains approximately twenty problems.\n
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\n\"Slope\n\n
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\nCurated OER\n
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\nSlope Fields and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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 contains...\n
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\n\"Euler's\n\n
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\nEuler's Method and the S-I-R Model of Disease\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's method learning exercise, students determine algebraic expressions for quantities in given terms. Next, they use Euler's Method to identify the information. Lastly, they confirm their calculations through the S-I-R...\n
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Worksheet
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\n\"Quiz\n\n
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\nCurated OER\n
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\nQuiz 2: Euler's Method and Piecewise Linear Functions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.\n
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\n\"Interest\n\n
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\nWest Contra Costa Unified School District\n
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\nInterest and the Number e\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nMary, 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...\n
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Instructional Video4:33
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\n\"Polyhedrons:\n\n
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\nPolyhedrons: Lesson\n

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\n\nFor Students\n\n6th - 11th\n
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\nImagine a poly-what? With the aid of pictures, the segment of an extensive geometry playlist introduces specific polyhedrons and their parts. The presentation uses Euler's Theorem to explain the relationship between the number of faces,...\n
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Worksheet
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\n\"Lab\n\n
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\nCurated OER\n
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\nLab 2: Euler's Method and Riemann's Sums\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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...\n
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\n\"Successive\n\n
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\nCurated OER\n
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\nSuccessive Approximations and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nFor this Euler's method worksheet, students compute the successive approximations for a given function. They compute the piecewise linear function to produce the approximation to the solution of the initial value problem. This...\n
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Lesson Plan
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\n\"Euler\n\n
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\nEuler Characteristic\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nYoung scholars identify the different properties of Euler's Characteristics. In this geometry instructional activity, students identify the shape and surface a polygon. They relate the concept of Euler to solving real world problems.\n
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Lesson Plan
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\n\"Euler's\n\n
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\nEuler's Formula\n

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\n\nFor Teachers\n\n7th - 9th\n
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\nStudents explore geometry by defining a list of vocabulary terms. In this shape characteristics lesson plan, students identify a number of different shapes and discuss the amount of edges, vertices, and faces using the Euler formula....\n
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\n\"Successive\n\n
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\nCurated OER\n
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\nSuccessive Approximation and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...\n
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Worksheet
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\n\"Analyzing\n\n
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\nCurated OER\n
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\nAnalyzing Solutions Computed Using Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this analyzing solutions learning exercise, 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...\n
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Instructional Video4:38
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\n\"How\n\n
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\nHow the Königsberg Bridge Problem Changed Mathematics\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nThere is one bridge too many. A video presents the history of the Konigsberg Bridge problem. To solve the problem, Euler invented a new branch of mathematics—and graph theory was born. Using this new branch of mathematics, mathematicians...\n
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Lesson Plan
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\n\"Euler\n\n
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\nEuler Encore 1\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nIn this math worksheet, young scholars use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given...\n
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Instructional Video10:04
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\n\"Compound\n\n
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\nCompound Interest and e (Part 3)\n

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\n\nFor Students\n\n10th - 12th\n
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\nContinuing with the lesson on compound interest, in this video, Sal derives the general formula for any amount of principle, interest rate, and compounding periods over one year.\n
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Instructional Video10:14
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\n\"Compound\n\n
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\nCompound Interest and e (Part 2)\n

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\n\nFor Students\n\n10th - 12th\n
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\nSal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...\n
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Handout
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\n\"Complex\n\n
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\nThomson Brooks-Core\n
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\nComplex Numbers\n

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\n\nFor Students\n\n10th - 12th\n
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\nA 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...\n
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