Pythagoras Teacher Resources
Find Pythagoras educational ideas and activities
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Number Sense and Numeration: Square Roots
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.
Relating Materials and Product
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 activity, 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.
Surface Area and Volume II
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.
MOTION IN A CIRCLE
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.
FRAMES OF REFERENCE: THE BASICS
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.
Those Fabulous Fables
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.
What's Your Average? What Do You Mean? I'm More Than Just Average
Upper grade and middle schoolers collect data, analyze and interpret the data. This three-part instructional activity 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.
Pythagorean Theorem by Graphic Manipulation
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.
Science and Natural Philosophy Before the Seventeenth Century
Learners 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.
Locating Points - Creating a Visual Coordinate Map Of Your School
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.
The Legacy of Emerson and Thoreau
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.
Babylonian Mathematics I
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.
Slopes and the Equation of a Line
For 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.
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.