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
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Curated OER
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...
Shodor Education Foundation
Pythagorean Theorem
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
EngageNY
The Pythagorean Theorem
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.
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
Principles of Square Roots Lesson Plan
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson plan, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude,...
EngageNY
Applications of the Pythagorean Theorem
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
Curated OER
Square Roots Using a Carpenter's Square
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Curated OER
Pythagorean Theorem
Students discover the Pythagorean Theorem. In this discovering the Pythagorean Theorem lesson plan, students measure the lengths of various triangles to the nearest centimeter. Students record their measurements in a table. Students...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this instructional activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
Curated OER
Squares and Square Roots
Learners find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Learners use...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
Curated OER
Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson plan, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
Curated OER
Why use the Pythagorean Theorem?
Eighth graders explore the Pythagorean Theorem. In this middle school geometry activity, 8th graders solve problems using the Pythagorean Theorem as they explore the definition of a theorem and attempt to determine the formula for the...
Curated OER
Pythagorean Theorem: Triangles and Their Sides
Learners investigate triangles and their relationship to each other. In this geometry lesson, students solve right triangles using the properties of the Pythagorean Theorem. They differentiate between right, acute, straight and oblique...
Curated OER
Pythagorean Theorem
Young scholars explore the history of Pythagoras and his contributions to mathematics. In this middle school geometry instructional activity, students use one inch tiles to investigate the Pythagorean Theorem and to find the length of...
Curated OER
Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. For this geometry lesson,students identify the right angle, hypotenuse and legs of a right triangle. They find the missing sides using the ratios of the Pythagorean theorem.
Curated OER
Application of the Pythagorean Theorem
Students find the length of the hypotenuse using the Pythagorean Theorem. In this geometry lesson, students solve for the different parts of a right triangle. They work the first problem with-the teacher then work on their own.
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...
Curated OER
Pythagorean Theorem
Students apply properties of Pythagorean to solve problems. In this geometry lesson, students identify the different parts of a right triangle using ratios. they solve problems using squares and square roots.
Balanced Assessment
Refiguring Pythagoras
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
EngageNY
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.