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Solids of revolution

tipo de documento Mathematik - Didaktische Sequenz

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Solids of revolution

Worksheet overview

Descripción:

In this unit we will learn about solids of revolution. First, we define what a solid of revolution is. To get a solid of revolution we start out with some segments and a semi-circumference that they will be rotated 360º around its own axis. And so, three surfaces of revolution will form: cylindrical surface, conical surface and spherical surface. Then we will study the properties of these figures. Students should have a pencil and a piece of paper to do calculations and deductions of the formulas used in these activities. After checking the activities, it is a good idea for students to share ideas.

Orientación didáctica:

PRIOR KNOWLEDGEBasic knowledge from previous courses in geometry is needed

KNOWLEDGE TYPE: declarative, procedural

LEARNING OBJECTIVESTo recognise the different solids of revolution in the objects in our surroundings. To know the net of the cylinder and of the cone. To deduce and know the cylinder, cone and sphere area formulae. To apply these formulae when calculating the areas of these solids. To deduce and know the cylinder, cone and sphere volume formulae. To apply these formulae when calculating the volumes of these solids. To get into the habit of writing down the corresponding measurement unit in the outcome of an exercise.

Licencia:

creative commons: attribution - non commercial - share alike

Descripción licencia:

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 allowed to generate any profit. Moreover, the reference to the source is required.

Destinatario:

alumne

Contexto:

company

General

Idioma:

english

Palabras clave: cylinder cone sphere area of a solid solid of revolution volume of a solid

Ambito: universal

Estructura:

lineal

Nivel de agregación:

Secuencia Didáctica

Colección: Descartes

Nodo:

INTEF

agrega.educacion.es

URL repositorio: /repositorio/26052010/aa/es_2010052663_9102811

IMS Manifest Datei herunterladen

Técnica

Formato:

image/gif

text/html

Tipo requerimiento:

sistema operativo

Nombre requerimiento:

multi-os

Tipo requerimiento:

nabigatzailea

Nombre requerimiento:

any

Consideraciones instalación:

Installation is not required

Otros requisitos plataforma:

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

These activities are designed to be viewed on a 17-inch screen and with a resolution of 1024 x 768 pixels because some windows show measurements in centimetres and millimetres that, when viewed with another configuration, won't correspond with reality; and the size of some windows can even be too big.

Educational use

Tipo recurso educativo:

escenari real o virtual d'aprenentatge

Tipo interacción:

combinado

Nivel interacción:

medio

Densidad semántica:

media

Edad: 13 years

Dificultad:

medio

Tiempo aprendizaje: 4 teaching units

Idioma educativo:

english

Proceso cognitivo:

practicar

comprender

comprobar

Rights

Coste licencia:

Tipo acceso:

unibertsala

Descripción acceso:

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