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Analytical Geometry

tipo de documento Mathematics - Teaching sequence

Equipo Didactalia

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Analytical Geometry

Worksheet overview

Description:

In this unit we will approach the study of the straight line in a plane considering thoroughly the necessary concepts to do so. We will be working with numerical and geometric elements to find algebraically the concepts associated with the study in a plane. In some places geometry will be contemplated where it can be shown how an analytical method can be used to simplify geometric concepts.

Teaching orientation:

KNOWLEDGE TYPE: declarative, procedural

LEARNING OBJECTIVESTo understand the concept of a vector and to use them analytically. To obtain the equation of a straight line in the plane in its different forms. To determine the position relative to two lines of the plane. To find the size of angle which they form. To calculate the distance between two points, a point and a line and between two lines in the plane. Apply the vector calculation to solve simple geometric problems: mid point of a segment. Develop adequate flexibility to approach geometric situations form different view points. To find the equations of some geometric loci.

PRIOR KNOWLEDGEYou need basic knowledge of geometry of the previous courses

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

End user:

Context:

schoolmate

General

Language:

english

KeyWords: vector equation parametric equations general equation gradient of straight line metric problems normal vector relative positions vector of direction

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/20072010/38/es_2010072063_9174631

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: 16

Difficulty:

medium

Learning time: 8 teaching units

Educational language:

english

Cognitive process:

implement

practise

understand

prove

Rights

License cost:

Access type:

universal

Access description:

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