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Description

Overview:
An interactive applet and associated web page that demonstrate the properties of a 3:4:5 triangle - one of the Pythagorean triples. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's side remain in the ration 3:4:5. The text on the page has an example of how the triangle can be used to measure a right angle on even large objects. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Subject:
Geometry
Material Type:
Reading, Simulation
Author:
Provider:
Math Open Reference
Date Added:
02/16/2011
License:
http://www.mathopenref.com/site/terms.html
Language:
English
Media Format:
Graphics/Photos, Text/HTML

Comments

Thuan Tran on May 05, 11:41am

The lesson plan does seem to aim for students to learn the Pythagorean theorem abstractly (needs more concrete examples in order to transition smoothly to abstract) and could use a little more real-world application problems and group discussion work.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Quality of Explanation of the Subject Matter: Strong (2)

Very simplistic example; subject matter is explained minimally.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Utility of Materials Designed to Support Teaching: Strong (2)

The technological aid will help the teachers in giving the students support on a visual aid, but there is not much support provided for teachers otherwise.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Quality of Assessments: Limited (1)

Little to no assessment is given. If using this technological resource, teacher could give students an exit card afterward that asks if they understood what was taught.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Quality of Technological Interactivity: Superior (3)

Very good interactivity; the student has the ability to visually see why a 3-4-5 triangle exists.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Quality of Instructional and Practice Exercises: Strong (2)

Little to no practice exercises given. The proctor could give examples as well as exercises students could do to further their understanding of the 3-4-5 triangle.

Claire Lambert
on Feb 08, 06:36pm Evaluation

Opportunities for Deeper Learning: Strong (2)

They are definitely reasoning abstractly, but there are little to no other opportunities for deeper learning. The activity could be modified to include group discussion or other forms of assessment that would allow students to form a deeper understanding of the 3-4-5 triangle.

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Evaluations

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Average Score (3 Points Possible)
Degree of Alignment1.7 (10 users)
Quality of Explanation of the Subject Matter1.4 (10 users)
Utility of Materials Designed to Support Teaching1.4 (9 users)
Quality of Assessments1.2 (6 users)
Quality of Technological Interactivity1.8 (11 users)
Quality of Instructional and Practice Exercises1.2 (6 users)
Opportunities for Deeper Learning1.2 (5 users)

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