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Polyhedron

tipo de documento Mathematics - Teaching sequence

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Polyhedron

Worksheet overview

Description:

A polyhedron is a three-dimensional solid whose faces are polygons joined at their edges. A polyhedron is said to be regular if its faces are made up of regular polygons. In this unit we can see some of this polyhedrons and learn about their properties. The design of these activities allows autonomous learning, but they also raise questions for students to investigate using the windows and to do their own deductions. Therefore, students should take notes in their notebooks so that they can share ideas afterwards.

Teaching orientation:

KNOWLEDGE TYPE: declarative, procedural

LEARNING OBJECTIVES: To recognise the different polyhedral shapes in the objects in our surroundings. To distinguish the elements of a polyhedron. To know Euler's formula, that is, the relation among the faces, edges and vertices of a non-toroidal polyhedron. To investigate the symmetries and relations between regular polyhedra. To practise the measurement of short distances in centimetres and millimetres, finding accuracy in the measurement and the correct expression of the values. To calculate the area of the base and the lateral area of prisms and pyramids. To calculate the volume of a prism. To deduce the equation of the volume of a prism and to apply it. To get into the habit of writing down the corresponding measurement unit in the outcome of an exercise.

PRIOR KNOWLEDGE: Basic knowledge from previous courses in geometry is needed

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

End user:

learner

Context:

schoolmate

General

Language:

english

KeyWords: surface area dodecahedron icosahedron octahedron tetrahedron hexahedron or cube polyhedrons volume of a prism volume of a pyramid

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/26052010/60/es_2010052663_9092642

IMS Manifest Download file

Technique

Format:

image/gif

text/html

Requirement type:

browser

Requirement name:

any

Requirement type:

operating system

Requirement name:

multi-os

Installation considerations:

Installation is not required

Other platform requirements:

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, will not correspond with reality; and the size of some windows can even be too big.

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: 13 years

Difficulty:

medium

Learning time: 4 teaching units

Educational language:

english

Cognitive process:

implement

investigate

practise

understand

prove

Rights

License cost:

Access type:

universal

Access description:

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