Pythagoras Teacher Resources
Find Pythagoras educational ideas and activities
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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.
In 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.
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Students 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.
High schoolers 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.
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.
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use Heron's method to calculate square roots. They also create a clay tablet of their own using the Babylonian symbols.
Sixth graders identify benchmark angles as they are embedded into a circle grid. They observe the teacher using an angle ruler and complete a Star Spangled worksheet, play the game Tomb Robbers, and as a class discuss their game winning strategies.