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
Applying the Pythagorean Theorem to find Distances Between Cities
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the Pythagorean Triple and use it to solve real life problems.
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Curated OER
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...
Curated OER
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
The Pythagorean Theorem
In this geometry worksheet, 10th graders apply the Pythagorean Theorem as they determine the length of the missing leg or hypotenuse in right triangles. The one page worksheet contains twelve questions. Answers are included.
Curated OER
Going out of Business: Pythagorean Theorem
Students find the length of diagonals. In this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals.
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
Curated OER
Pythagorean Theorem
Eighth graders use formulas to solve Pythagorean Theorem problems. They explore the hypotenuse, adjacent angles and legs of a triangle. Given any two integers in a problem, 8th graders identify and complete Pythagorean triples.
Curated OER
Central Valley Math Project
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
Curated OER
Pythagorean Theorem
Young scholars apply properties of Pythagorean to solve problems. For this geometry lesson, students identify the different parts of a right triangle using ratios. they solve problems using squares and square roots.
Curated OER
The Proof of the Century!
Students do Web research in the field of mathematics. They explore mathematical proofs and apply them to the Pythagorean theorem. They also explore the general ideas of Fermat's Last Theorem
Curated OER
Pythagorean Triples
Teach how to solve problems with right triangles. Students use the Pythagorean Theorem to identify missing sides and angles. Then, they will define and use the Pythagorean Triples to solve problems.
Curated OER
Pythagorean Theorem Proof
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.
Curated OER
Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry instructional activity, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
Curated OER
Pythagorean Triple
Students investigate the properties of the Pythagorean Theorem. In this geometry lesson, students identify the missing angles and sides of a right triangle. They label the hypotenuse and legs of a right triangle correctly.
Curated OER
Investigating Pythagorean Triples
Students investigate and solve Pythagorean triples. In this geometry lesson plan, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
Curated OER
Investigating Triangles 1
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson is exploration rather than discovering the Pythagorean Theorem.
Curated OER
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.
Curated OER
Pythagorean Triples
Learners investigate the mathematical concepts related to the study of The Pythagorean Theorem. They graph and review how to use a line segment to construct a triangle. Then using the theorem students calculate the length of the hypotenuse.
Curated OER
Calculating Distances in Two and Three Dimensions
Students use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.