Pythagoras Teacher Resources

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There are fundamental principles that nearly everybody knows about. Define the principles of Golden Mean, Fibonacci Numbers, creativity, and matter in terms of their Greek origins. Presented here are brief histories, philosophies, and teachings of some of Greece's greatest thinkers. 
There are four main topics in this bundle of lesson plans. They don't need to be taught sequentially. Each lesson has three parts: a starter, a main activity, and something to help consolidate and provide reflection on concepts learned.
A video leads off this activity on fables, introducing the class to this important form of traditional storytelling. The group defines fable and hears an explanation of the origin of this type of folk tale. They summarize the story they watch, state the moral, and relate the moral to their own experiences. Finally, small groups retell a fable, placing it in modern context. A fun instructional activity sure to get even your young boys engaged! 
Students are introduced to the various gods and goddesses in ancient Greek mythology. In groups, they use print and electronic resources to research the ways Greek culture has influenced the modern world. To end the lesson, they identify and write a paper on the role of the Greek warrior and participate in a role play acting out the movements of the warriors.
Students identify the components of sound. They describe the relationship between pitch and frequency and explain the terms sympathetic vibrations and resonance. They perform simple experiments about the world of sound and explain the process of hearing.
Students observe how math is important in navigation and engineering. They study how surveyors use math and science to calcute, count, measure, label, and indicate distances on a map. They estimate specific distances.
Young geometers use technology (Geometer’s Sketchpad) to explore the Pythagorean Theorem and analyze different proofs. Students work in small groups to gain insight into the relationships of the sides of right triangles by constructing and measuring a variety of right triangles, using GSP to prove the theorem, and solving a number of different problems. 
For this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same rectangle. They also determine the length of each unknown side of the illustrated right-angled triangles and then, find the length of a diagonal of each rectangle. Finally, students determine the value of problems and write their answer in fraction form.
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions of the world, proportional reasoning, and averages.
In this graphing worksheet, 9th graders read one page of graphing examples and complete 8 exercise problems. Each problem involves graphing and coordinates.
In this geometry worksheet, 10th graders solve for missing sides and angles of a triangle. They use the pythagorean theorem to solve for the unknown in a right triangle. There are 5 questions on this worksheet.
Students analyze pieces of art through measurements. In this geometry lesson, students measure art work through estimation, calculation and formulas. They work together to collect data and analyze it. They measure and record their findings.
Students listen and scan for information and identify purpose in Transcendentalist writing. In this self-management lesson, students identify main and supporting details. Students evaluate whether or not the author achieved his purpose as they read Transcendentalist writings such as "Self-Reliance" by Ralph Waldo Emerson.  Students create a personal mission statement and discuss their ideas of happiness. 
Here is a math worksheet which has learners calculate the surface area and volume of a variety of solid shapes. This thorough worksheet has five problems for the pupils to solve, and includes an answer sheet.
Young scholars explore uniform circular motion, and the relation of its frequency of N revolutions/sec with the peripheral velocity v and with the rotation period T, and the "centripetal acceleration" of an object.
Students examine the concept of frames of reference in physics: that two frames of reference, each moving with respect to the other with a constant velocity v, observe the same accelerations and therefore Newton's laws are the same in both.
Third graders study Aesop, a Greek slave who lived around the sixth century B.C. Using video and the Internet, the lesson covers the function of storytelling as the way to pass on a culture's customs and beliefs to the next generation.
Upper grade and middle schoolers collect data, analyze and interpret the data. This three-part lesson should provide learners with a firm understanding about the differences between mean, median, and mode and how to perform the calculations necessary to come up with each.
Sixth graders examine benchmark angles embedded into a circle grid and examine how grid systems do not always have to be square. the game "Tomb Robbers" is used to develop strategies.
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. 

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