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Transformations of functions: Traslations and Dilatations

tipo de documento French-Foreign Language - Teaching sequence

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Transformations of functions: Traslations and Dilatations

Worksheet overview

Description:

This unit focuses on the changes produced on the graph of a real function with a real variable when any of the unknown factors are altered to the same factor added to or multiplied by a constant. In the first example we will see that the result is a graph of a function which is the same shape as the original one, but which has moved from its initial position. From then we will refer to it as a translation. In the second example we get a similar result but the change is either more noticeable or more subtle. In this case we will refer to it as a dilatation.

Teaching orientation:

KNOWLEDGE TYPE: declarative

LEARNING OBJECTIVESTo predict what the shape of the graph of the function will be, once the transformations have been carried out. To know how to relate the function to a simpler one (by using translation or dilatation) thus allowing us to predict the shape of the graph.

PRIOR KNOWLEDGEThe contents of this course is taught in two courses next.

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:

learner

Context:

schoolmate

General

Language:

english

KeyWords: translations dilatations

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/12032010/28/es_2010031263_9150545

IMS Manifest Download file

Technique

Format:

image/gif

text/html

Requirement type:

operating system

Requirement name:

multi-os

Requirement type:

browser

Requirement name:

any

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:

medium

Age: 15 years

Difficulty:

medium

Learning time: 2 teaching units

Educational language:

english

Cognitive process:

observe

Rights

License cost:

Access type:

universal

Access description:

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