Curated OER
Pythagoras' Theorem
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
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Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Curated OER
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
Curated OER
History / Introduction of Pythagorean Theorem
Learners explore Pythagoras and the history behind his theorem. They work together to solve a proof that is embedded in the lesson.
Curated OER
Flying with Pythagoras
A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.
Curated OER
Proving (a Theorem) and Disproving (a Theory)
As a cross-curricular lesson plan, your class examines the issues of gender discrimination, careers, and gender roles. They read and discuss an article, prepare a proof of the Pythagorean theorem as a class, and develop a creative...
Curated OER
Gougu Rule or Pythagoras' Theorem
Fifth graders explore Pythagoras' Theorem. They examine the pattern linking the length of the hypotenuse of a right angled triangle and the length of the other two sides. Students find an unknown side in right angled triangles.
Curated OER
Pythagorean Theorem
In this Pythagorean Theorem worksheet, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4...
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Picking Pythagoras
Learners discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Getting It Right! An Investigation of the Pythagorean Theorem
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
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Pythagorean Theorem Triples
Young scholars research the concept of the Pythagorean Theorem. In this Pythagorean Theorem instructional activity, students use the Internet to learn about the Pythagorean Theorem. Young scholars construct proofs of the Pythagorean...
Curated OER
Pythagorean Theorem
Students investigate the Pythagorean Theorem. In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle.
Curated OER
Getting It Right!
Young scholars construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
Curated OER
Discovering Math: Concepts in Geometry
Middle and high schoolers explore the concept of proving the Pythagorean Theorem. They research proofs of the Pythagorean Theorem. Pupils create posters of proofs, and research Greek mathematicians.
Curated OER
The Four-Color Problem: Concept and Solution
Take a walk through time, 1852 to 1994, following the mathematical history and development of the Four-Color Theorem. Learners take on the role of cartographers to study an imaginary world of countries that need to be mapped. One rule:...
Curated OER
Poppy Meets Pythagoras
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
Curated OER
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.
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Right Triangles
Learners classify triangles and make connections regarding angle measurements and attributes of acute, right, and obtuse triangles. They listen to teacher define and explain triangles. Everyone imagines a place where a broken wing for a...
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Motion in a Circle
Students study about deriving centripetal acceleration for motion at constant speed around a circle.
Curated OER
Motion in a Circle
Learners 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. They examine how uniform circular motion is a type of accelerated motion.