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The definite integral and the area function

tipo de documento Mathematics - Teaching sequence

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The definite integral and the area function

Worksheet overview

Description:

In this unit we shall demonstrate this method of exhaustion with an example. We shall then apply the same idea to introduce intuitively the concept of the definite integral of a function and we shall focus on some of its properties. Finally, we shall look at the relationship between the definite integral and finding antiderivatives.

Teaching orientation:

KNOWLEDGE TYPE: declarative

LEARNING OBJECTIVES: To present the concept of the definite integral and its properties visually. The aim is not to give rigorous demonstrations but to complement explanations given in the classroom in order to help students assimilate them.

PRIOR KNOWLEDGE: The contents required are explained in this course. 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 non commercial educative use. The actions, products and utilities derived from its use are therefore not allowe to generate any profit. Moreover, a reference to the source is required.

End user:

learner

Context:

schoolmate

General

Language:

english

KeyWords: definite integral integral function method of exhaustion properties of the definite integral

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/26052010/6a/es_2010052663_9121540

IMS Manifest Download file

Technique

Format:

image/gif

text/html

Size: 639999

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:

high

Semantic density:

low

Age: 17 years

Difficulty:

easy

Learning time: 2 teaching units

Educational language:

english

Cognitive process:

define

investigate

understand

Rights

License cost:

Access type:

universal

Access description:

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