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tipo de documento Matemáticas - Secuencia didáctica
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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.
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.
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.
Installation is not required
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.
Fecha publicación: 29.3.2015