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Flying with Pythagoras
A lengthy narrative about Pythagoras and his young scholars precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.Â
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Learning Unit: The Pythagorean Theorem
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
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Proving Pythagoras
Students prove the theorem of Pythagoras. In this Pythagorean Theorem lesson plan, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.
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Getting It Right!
Pupils 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.
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The Pythagorean Theorem
Students research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
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The Search for Pythagoras' Treasure
Students identify and define properties of triangles. In this geometry lesson, students identify the missing sides and angles of right triangles. They use the rules of the Pythagorean Theorem to solve their problems.
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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.
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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.
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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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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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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...
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Review of Triangles
Students investigate the Pythagorean Theorem. In this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
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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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Pythagorean Theorem Word Problems
Students investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...
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Pythagoras's Theorem
Students explore Pythagoras' Theorem. In this geometry lesson, students complete 4 pages of equations using Pythagoras's Theorem. Students complete 14 problems.
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Triangles
For this geometry worksheet, 7th graders identify the sides and angles of triangles, examine the Pythagorean Theorem, and complete 2 tables with square numbers. They apply the theorem to find the value of the hypotenuse of 2 triangles.
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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 instructional activity.
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Discover the Pythagorean Theorem
Pupils explore the Pythagoras theorem. In this geometry instructional activity, students make right triangles and identify the parts of the triangle. Pupils complete measurements of the sides of the triangle.
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Plenty of Pythagoras
Using a twelve foot knotted rope, students form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
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Geometry In the Yard
Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
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Pythagorean Theorem
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.
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Regular Polyhedra
Tenth graders investigate the history of geometry and its different shapes. In this geometry lesson, 10th graders practice seeing three dimensional shapes and explain why there are only five polyhedra. They relate all the new materials...
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Pythagorean Theorem
Students explore the history of Pythagoras and his contributions to mathematics. For this middle school geometry lesson, students use one inch tiles to investigate the Pythagorean Theorem and to find the length of the sides of a right...
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Bill's Badge
Students explore the making of circles and concepts related to them in geometry. The project is inquiry based will focus upon students making their own nametags. The construction is ideal for hands on students.