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Proving Pythagoras' theorem graphically

tipo de documento French-Foreign Language - Teaching sequence

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Proving Pythagoras' theorem graphically

Worksheet overview

Description:

Pythagoras' Theorem is one of the most well-known statements in the world of mathematics. It has been discovered and used by different civilizations during different periods. The Egyptians and the Hindus used it to help construct buildings. The Chinese (who called it "kou ku") also used it to help with construction and later on applied it to astronomy and algebra. There are over two hundred ways of proving Pythagoras' Theorem and there are even books which are specially written to explain these proofs. In this unit we are going to prove the theorem in five different ways.

Teaching orientation:

KNOWLEDGE TYPE: procedural

PRIOR KNOWLEDGEThe knowledge required is explained in this course

LEARNING OBJECTIVESTo design and use material models to make understanding and solving problems easier and also show the valuable relation between manual and intellectual activity. To carry out manual and graphical tasks carefully, designing and planning them beforehand so as to highlight the importance of a task looking good as well as being useful and entertaining.

License:

creative commons: attribution - non commercial - share alike

License description:

The use of the following contents is universal, free of charge and open, provided that it is for non-commercial educational use. The actions, products and utilities derived from its use are therefore not allowed to generate any profit. Moreover, the reference to the source is required.

End user:

Context:

schoolmate

General

Language:

english

KeyWords: pythagoras' theorem prove graphical

Scope: Universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/07092010/54/es_2010090763_9122449

IMS Manifest Download file

Technique

Format:

image/gif

image/jpeg

text/html

Requirement type:

browser

Requirement name:

any

Requirement type:

operating system

Requirement name:

multi-os

Installation considerations:

Installation is not required

Other platform requirements:

Locally install and enable the Java interpreter and the Descartes applet plug-in.

Educational use

Educational learning resource type:

real or virtual learning environment

Interaction type:

mixed

Interaction level:

medium

Semantic density:

low

Age: 14 years

Difficulty:

medium

Learning time: 3 teaching sessions

Educational language:

english

Cognitive process:

analyse

investigate

connect

understand

Rights

License cost:

Access type:

universal

Access description:

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