This concept introduces students to several applications of the Pythagorean Theorem. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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Apply the Pythagorean Theorem to other math concepts.
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In this lesson students use the Pythagorean Theorem to find perimeter and area. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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In this lesson students find the distance between two parallel lines. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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This concept teaches students how to find the distance between two points using the distance formula. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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In this lesson students use the Distance Formula to find the distance between two points. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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Explains the basic concept of the Pythagorean Theorem with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Explains the basic concept of right triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
This study guide is an overview of the Pythagorean theorem and its converse, Pythagorean triples, and proving the distance formula.
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Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
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This stand-alone module examines the history, applications, and various proofs of the Pythagorean Theorem. The module also includes student activities and exercise problems. The module assumes the reader has a basic geometry background.
In this module, students learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the concept of congruence. Throughout Topic A, on the definitions and properties of the basic rigid motions, students verify experimentally their basic properties and, when feasible, deepen their understanding of these properties using reasoning. All the lessons of Topic B demonstrate to students the ability to sequence various combinations of rigid motions while maintaining the basic properties of individual rigid motions. Students learn that congruence is just a sequence of basic rigid motions in Topic C, and Topic D begins the learning of Pythagorean Theorem.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles. The module begins with the definition of dilation, properties of dilations, and compositions of dilations. One overarching goal of this module is to replace the common idea of same shape, different sizes with a definition of similarity that can be applied to geometric shapes that are not polygons, such as ellipses and circles.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Module 7 begins with work related to the Pythagorean Theorem and right triangles. Before the lessons of this module are presented to students, it is important that the lessons in Modules 2 and 3 related to the Pythagorean Theorem are taught (M2: Lessons 15 and 16, M3: Lessons 13 and 14). In Modules 2 and 3, students used the Pythagorean Theorem to determine the unknown length of a right triangle. In cases where the side length was an integer, students computed the length. When the side length was not an integer, students left the answer in the form of x2=c, where c was not a perfect square number. Those solutions are revisited and are the motivation for learning about square roots and irrational numbers in general.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.
Students use this computer applet to visualize the Pythagorean Theorem.
Derive the equation of a circle with the help of the Pythagorean Theorem.
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Explore and discover the Pythagorean theorem.
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Learn the many theorems about triangles that you can prove using similar triangles.
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Learn how similar triangles have congruent corresponding angles and proportional corresponding sides.
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