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Solids of revolution

tipo de documento Matemáticas - Secuencia didáctica

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Solids of revolution

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Descrición:

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.

Licenza:
creative commons: recoñecemento - non comercial - compartir igual
Descrición licenza:

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:
alumno
Contexto:
compañeiro

Xeral

Idioma:
inglés
Palabras clave: cylinder cone sphere area of a solid solid of revolution volume of a solid
Ámbito: universal
Estrutura:
lineal
Nivel de agregación:
Secuencia Didáctica
Colección: Descartes
Nodo:
URL repositorio: /repositorio/26052010/aa/es_2010052663_9102811
IMS Manifest Descargar ficheiro

Técnica

Formato:
image/gif
text/html
Tipo requirimento:
sistema operativo
Nome requirimento:
multi-os
Tipo requirimento:
navegador
Nome requirimento:
calquera
Consideracións instalación:

Installation is not required

Outros 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.

Uso Educativo

Tipo recurso educativo:
escenario real ou virtual de aprendizaxe
Tipo interacción:
combinado
Nivel interacción:
medio
Densidade semántica:
media
Idade: 13 years
Dificultade:
medio
Tempo aprendizaxe: 4 teaching units
Idioma educativo:
inglés
Proceso cognitivo:
practicar
comprender
comprobar

Dereitos

Custo licenza:
non
Tipo acceso:
universal
Descrición 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

Mapa conceptual: Solids of revolution

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Fecha publicación: 29.3.2015

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