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Homothety and Similarity

tipo de documento French-Foreign Language - Teaching sequence

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Homothety and Similarity

Worksheet overview

Description:

This unit deals with some of the basic concepts of homothety (or enlargement) and some formulae connected to Thales' theorem. Rather than rigorous, step-by-step demonstrations, this unit offers the advantage of proving theories and properties in a straightforward manner. To conclude the unit, different examples of similarity in triangles and polygons in general is also focused on, through an interactive approach. There is an introduction to metric relations in a right-angled triangle: the theorem of the sides adjacent to the right angle and the perpendicular height theorem.

Teaching orientation:

KNOWLEDGE TYPE: declarative, procedural

PRIOR KNOWLEDGEPrevious knowledge is not necessary. The contents required are explained in this course

LEARNING OBJECTIVESUnderstand and know how to apply direct and inverse homothety to simple shapes. Apply Thales' theorem to cases where segments are in proportion to each other. Construct similar polygons and work out their related measurements. Understand and know how to apply the theorem of the sides adjacent to the right angle and the perpendicular height theorem.

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 educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.

End user:
Context:
schoolmate

General

Language:
english
KeyWords: similarity homothety Thales´ theorem
Scope: universal
Structure:
linear
Agregation level:
Teaching Sequence
Collection: Descartes
Node:
Repository URL: /repositorio/11032010/8a/es_2010031163_9223758
IMS Manifest Download file

Technique

Format:
image/gif
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:

Install and enable the Java interpreter and Plug-in of the Applet Descartes on local

Educational use

Educational learning resource type:
real or virtual learning environment
Interaction type:
mixed
Interaction level:
medium
Semantic density:
low
Age: 15 years
Difficulty:
easy
Learning time: 3 teaching units
Educational language:
english
Cognitive process:
create
implement

Rights

License cost:
no
Access type:
universal
Access description:

es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_extremadura_20090126,es_navarra_20090202,es_castillayleon_20080422121523455,es_andalucia_20090324

Conceptual map: Homothety and Similarity

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Fecha publicación: 28.3.2015

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