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Pythagoras Teacher Resources
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There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own alternative representation. Links to relevant websites are also included.
Students complete a worksheet about some of the natural philosophers in history. They use graph paper and create a timeline with the dates of birth and names of a list of natural philosophers. They list four questions concerning life and the universe that they would like to answer and explain.
Eighth graders explore graphing on a coordinate plane. In teams of three, 8th graders measure the hallways of the school and take digital pictures of key points such as intersections, the office, cafeteria and the math classroom. Using the data collected, and a graphing calculator, they plot points of the key intersections and sites. Next, students use spreadsheet technology to display the graph and paste pictures of the key points at the proper location.
Eleventh graders are introduced to Transcendentalism through the writing of Emerson and Thoreau. They keep a journal in which they respond to quotes and prompts. Students write longer essays on conformity, being alone and a "field trip" to the woods. They research an individual or movement influenced by the work on Thoreau and the beliefs of Transcendentalsim.
In this slope and the equation of a line worksheet, 9th graders solve 15 various types of problems that include determining the slope of a line segment and determining the equation of line when two points on the line are presented. They also determine the points of a line when the coordinates of two points are given. In addition, students solve 4 word problems by applying the Pythagorean Theorem.
Students explore properties of triangles. In the geometry lesson, students 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.
In this geometry activity, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using the pyhtogoraean theorem. This activity contains 10 interactive questions with answers.
Research the interrelationship between math and science. Search the Internet to discover the history of several branches of mathematics and make text-to-world connections between the concepts covered in each branch with related scientific fields. Then complete a T-chart with information obtained from the research conducted.