Leonhard Euler Lesson Plans

Twelfth graders explore differential equations.  In this calculus lesson plan, 12th graders explore Euler’s Methods of solving differential equations.  Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric solutions to a graphical solution. 

Students explore the concept of the Euler line.  In this Euler line instructional activity, students use Cabri Jr. to construct the centroid, circumcenter, incenter, and orthocenter of an acute triangle.  Students contruct the Euler line from the incenter to the orthocenter.  Students explore the ratios of distances between the above mentioned constructions.

Twelfth graders investigate slope fields and Euler’s Method.  In this calculus lesson plan, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential equations.   

Tenth graders explore the Euler Line of a triangle.  In this geometry lesson, 10th graders use technology to discover that the cetroid, circumcenter, and othocenter are collinear.  Students will also look at the same points for special triangles and the ratios involved in the Euler line.

Students 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.

Tenth graders explore the Euler Line.  In this geometry lesson, 10th graders use Cabri Jr. to construct the circumcenter, incenter, orthocenter, and centroid of a triangle.  Students examine the four points and construct a line, the Euler line, that passes through three of the four points.  Students determine which point should be excluded and examine the conditions under which all four points would lie on the line. 

Students define and use Euler's method to solve problems. In this calculus lesson, students visualize graphs and solve differential equations. They create visuals on the TI calculator.

Students identify traversable graphs. For this Euler lesson, students determine the best placement for attractions at a fairgrounds. They examine websites and discover the degree of a vertex. Students complete guided notes. Afterwards, they complete a traversable graph worksheet independently.

Students identify Euler's method of graphing. For this calculus lesson, students approximate values of a function and check their work using EM. They differentiate equations at an exact point.

Tenth graders explore properties of triangles.  In the geometry lesson, 10th graders construct the centroid, circumcenter, and the orthocenter of a triangle.  The dynamic nature of Geometer’s Sketchpad allows students to discover important properties regarding Euler’s line.  Additionally the lesson considers a proof of the Pythagorean Theorem and investigation into Fermat’s point.