Provides examples and a video lesson that illustrate the Pythagorean Theorem which provides us with the relationship between the sides in a right triangle. [4:41]
In this lesson students use the Pythagorean Theorem to find lengths and distances. Students watch a video tutorial, explore guided notes and attempt practice problems.
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In this lesson students use the Pythagorean Theorem to find lengths and distances. Students watch a video tutorial, explore guided notes and attempt practice problems.
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This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
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Use the Pythagorean Theorem to find a right triangle's missing side lengths.
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Use the Pythagorean Theorem to find a right triangle's missing side lengths.
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This task requires students to apply the Pythagorean Theorem.
This interactive exercise focuses on using the Pythagorean Theorem to calculate distance and plotting points on a Cartesian grid.
This video lesson demonstrates how to calculate the area of a triangle. It includes detailed examples including ones that use the Pythagorean Theorem. Students can check their understanding with an assessment. [10:43]
Students learn the importance of the Pythagorean theorem as applied in radar imaging. They use a sensor unit with IRED (infrared emitting diode) to measure triangle distances and the theorem to calculate and verify distances. Student groups calibrate the sensor units to ensure accurate distance measurements. A "pretend" outdoor radar imaging model is provided to groups for sensor unit testing.
This task is for instruction purposes. Part (b) is subtle and the solution presented here uses a "dynamic" view of triangles with two side lengths fixed. This helps pave the way toward what students will see later in trigonometry but some guidance will likely be needed in order to get students started on this path.
The focus of the lesson is to review and strengthen understanding of the Pythagorean Thm and the Converse of the Pythagorean Thm. In addition review and strengthen the students algebra skills regarding square roots.This cover Ohio Standards in geometry:Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
Learn about the converse of the Pythagorean Theorem and some of its applications. Also explains how to identify acute and obutse triangles through the use of the Pythagorean Theorem.
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This lesson will demonstrate how to use the converse of the Pythagorean Theorem to determine if three side lengths of a triangle form a right triangle. It is 5 of 5 in the series titled "Converse of the Pythagorean Theorem." [8:28]
The x and y coordinates of the unit circle are discussed here, in the context of right triangles.
This site from Cut The Knot provides an overview of the law of cosines, complete with an explanation of the law and a proof of the law.
Students use simple materials to design an open spectrograph so they can calculate the angle light is bent when it passes through a holographic diffraction grating. A holographic diffraction grating acts like a prism, showing the visual components of light. After finding the desired angles, students use what they have learned to design their own spectrograph enclosure.
This lesson focuses on exponents and radicals as they apply to problems involving squares, perfect squares, and square roots.
Learning module that introduces students to the Pythagorean Theorem. Topics include history, applications, and proofs related to this geometry concept.
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At the end of this lesson plan about formulas, students will be able to identify and apply the correct formula for a given situation, solve for any unknown component of the formulas for perimeter, circumference, and area of regular and irregular shapes, and volume, and use the Pythagorean Theorem in the context of real-life situations.