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This lesson unit is intended to help teachers assess how well students are able to produce and evaluate geometrical proofs. In particular, this unit is intended to help you identify and assist students who have difficulties in: interpreting diagrams; identifying mathematical knowledge relevant to an argument; linking visual and algebraic representations; and producing and evaluating mathematical arguments.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
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This resource contains information which may be used by students for self-directed learning. Teachers may use it to supplement their lessons.

Subject:
Mathematics
Material Type:
Assessment
Lesson
Student Guide
Author:
Melissa Gayle
03/17/2020
Conditional Remix & Share Permitted
CC BY-NC-SA
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This video lesson presents a real world problem that can be solved by using the Pythagorean theorem. The problem faces a juice seller daily. He has equilateral barrels with equal heights and he always tries to empty the juice of two barrels into a third barrel that has a volume equal to the sum of the volumes of the two barrels. This juice seller wants to find a simple way to help him select the right barrel without wasting time, and without any calculations - since he is ignorant of Mathematics. The prerequisite for this lesson includes knowledge of the following: the Pythagorean theorem; calculation of a triangles area knowing the angle between its two sides; cosine rule; calculation of a circle's area; and calculation of the areas and volumes of solids with regular bases.

Subject:
Geometry
Mathematics
Measurement and Data
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
06/02/2012
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CC BY-NC
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This Flexbook is community contributed through ck12.org. It covers three lessons on the Pythagorean Theorem. 1) Introduction and Determining if the Triangle is a Right Triangle, 2) Finding the Hypotenuse, and 3) Finding a leg. It includes step by step instructions, application problems, and answers (at the end of each lesson). Ck12.org material is downloadable, editable, and accessible offline and online.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Lecture Notes
Lesson
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Shana Friend
05/25/2018
Unrestricted Use
CC BY
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This is a cross curricular art project for 8th grade math students. Students are first introduced to what the Wheel of Theodorus is, ponder where they see it in the world around them and then instructed on how to create their own. When they have finished constructing their Wheel of Theodorus they are asked to creatively and colorfully turn it "into" something. Examples are given. After they Wheel of Theodorus is complete, students are then asked to measure all the sides lengths of the triangles in the wheel. They should quickly see that they can use the Pythagorean Theorem to do this and that it follows a predictable pattern. No ruler will be required for this part of the project!

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Author:
Tracie Williams-Burns
03/20/2023
Unrestricted Use
CC BY
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This is a cross curricular art project for 8th grade math students. Students are first introduced to what the Wheel of Theodorus is, ponder where they see it in the world around them and then instructed on how to create their own. When they have finished constructing their Wheel of Theodorus they are asked to creatively and colorfully turn it "into" something. Examples are given. After they Wheel of Theodorus is complete, students are then asked to measure all the sides lengths of the triangles in the wheel. They should quickly see that they can use the Pythagorean Theorem to do this and that it follows a predictable pattern. No ruler will be required for this part of the project!

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Jennifer Chandler
Sara Scholes
03/26/2020
Conditional Remix & Share Permitted
CC BY-NC
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Students will use the Pythagorean Theorem to find missing lengths of a triangle, and be able to explain why the Pythagorean Theorem is helpful in real world situations.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
National Air and Space Museum
Author:
National Air and Space Museum
08/30/2022
Conditional Remix & Share Permitted
CC BY-NC
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This seminar will teach you about the Pythagorean Theorem. It will also teach you how to use the converse of the theorem and how to identify Pythagorean triples. You will have to apply the techniques you have learned to simplify radicals, and you will learn how to apply exponential properties. You will be shown visual demonstrations of the Pythagorean Theorem and be asked to connect them to the algebraic models of the Theorem.StandardsCC.2.3.8.A.3.Understand and apply the Pythagorean Theorem to solve problems.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Bonnie Waltz
Deanna Mayers
Tracy Rains
10/15/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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This lesson teaches students about the history of the Pythagorean theorem, along with proofs and applications. It is geared toward high school Geometry students that have completed a year of Algebra.

Subject:
Geometry
Mathematics
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
07/12/2014
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: use the area of right triangles to deduce the areas of other shapes; use dissection methods for finding areas; organize an investigation systematically and collect data; deduce a generalizable method for finding lengths and areas (The Pythagorean Theorem.)

Subject:
Geometry
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
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This is a short PowerPoint presentation template that I have created for my students to revise and make functional. After spending a day working with the Pythagorean Theorem, I want my students to work in groups to revise this presentation so that it could be used to introduce the Pythagorean Theorem in a classroom setting.

Subject:
Mathematics
Material Type:
Lesson
03/20/2015
Unrestricted Use
CC BY
Rating
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This 12-problem worksheet is an assessment tool I created to see how well my adult education students grasped my lesson on the Pythagorean Theorem. There are plug-and-chug questions that require the students to solve for the lengths of missing sides and more complicated problems.

Subject:
Mathematics
Material Type:
Assessment
Homework/Assignment
03/25/2015
Rating
0.0 stars

Reviewing the Pythagorean Theorem. Did you know the Scarecrow states the Pythagorean Theorem incorrectly in The Wizard of Oz? At the end is a clip of Homer Simpson also stating the Pythagorean Theorem incorrectly

Subject:
Geometry
Mathematics
Material Type:
Lecture
Provider:
Jeff Clark's Math in the Movies
Author:
Jeff Clark
11/23/2016
Unrestricted Use
CC BY
Rating
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The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever _AXB is a right angle.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Educational Use
Rating
0.0 stars

Students learn that math is important in navigation and engineering. They learn about triangles and how they can help determine distances. Ancient land and sea navigators started with the most basic of navigation equations (speed x time = distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts â basic geometry and trigonometry â that have been used for thousands of years.

Subject:
Education
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Matt Lippis
10/14/2015
Unrestricted Use
CC BY
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This task presents a foundational result in geometry, presented with deliberately sparse guidance in order to allow a wide variety of approaches. Teachers should of course feel free to provide additional scaffolding to encourage solutions or thinking in one particular direction. We include three solutions which fall into two general approaches, one based on reference to previously-derived results (e.g., the Pythagorean Theorem), and another conducted in terms of the geometry of rigid transformations.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
11/13/2012
Educational Use
Rating
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In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Matt Lippis