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Graphical representation derivative

tipo de documento Mathematics - Teaching sequence

Equipo Didactalia

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Graphical representation derivative

Worksheet overview

Description:

The activities which follow are designed to familiarise the student with the concepts of the secant and tangent to a curve, to observe how the former approaches the latter and to understand the limit as a process which can be observed and checked.

Teaching orientation:

KNOWLEDGE TYPE: procedural

LEARNING OBJECTIVES: To identify the problem of drawing the tangent to a curve at a point. To identify the tangent as a limit of the secants. To determine that the gradient of the tangent is the limit of the gradients of the secants. To obtain a graphical representation of the derivative of a function at a point. To use the derivative in order to determine the equation of a tangent to a curve at a point.

PRIOR KNOWLEDGE: The contents of this course is taught in the 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 noncommercial 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:

learner

Context:

schoolmate

General

Language:

english

KeyWords: derived tangent gradient derivative of a function at a point graphical representation derivative interpretation derived

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/26052010/b0/es_2010052663_9105001

IMS Manifest Download file

Technique

Format:

image/gif

text/html

Size: 350967

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: 16 years

Difficulty:

medium

Learning time: 2 teaching units

Educational language:

english

Cognitive process:

analyse

connect

represent

understand

Rights

License cost:

Access type:

universal

Access description:

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