Tópicos de Geometria

Learning objectives
Apply the correct vocabulary in the oral and written description of the geometric situations and/or of exploiting measurement Distinguish primitive notions , derivative notions, axioms and theorems Identify bi-dimensional shapes Characterize correctly bi-dimensional shapes Represent strict and correctly simple shapes Apply techniques proper to the measurement of symbols of flat shapes Produce geometric transformations on flat shapes Identify tridimensional forms Characterize properly the tridimensional forms Describe relation among the elements of tridimensional objects Use appropriate tools to determine the extent of measurements Develop logic topics in the resolution of problems of geometric nature

Syllabus
- Geometry in the plan Geometric elements-points , straight lines and angels Notions of length and amplitude The polygons- basic elements and proprieties. Perimeters calculation Notion of a surface area. Calculating areas The circle- Basic elements and proprieties. Circle perimeter and area The circle and the polygons- inscribed and circumscribed polygons Geometric transformations Similarity transformations - Tridimensional Geometry Geometric elements -plans of dihedral angles Relative position of straight lines and plans in the space Polyhedrons- basic elements and proprieties o Prisms- definition and proprieties, classification o Pyramids -definition and proprieties; classification o The regular polyhedrons Curved traditional forms o Cylinders o Cones o Sphere Volume notion of an object. Volume calculation Notion of capacity of a receiver. Determination of capacities

Teaching methodologies (including evalution)

Strategies and used resources: Explanation Individual Work Team work Problems Description: In the theoretic classes the syllabus will be explained, further applied, debated and systematized in theoretic-practical classes, mingling moments of individual work with moments of group work, aiming at solving problematic situations tending to the understanding and integration of concepts, procedures and arguments in geometry and measurement Forms of evaluation and due deliberation: 2 written individual tests (50% +50%) Description: The evaluation of the knowledge on the developed activities_ concepts level, representation, procedures and arguments-development of learning done during the curricular unit- will be based in the acquisition of competences showed by each student in written individual tests.

Essential Bibliography (including ISBN)

CARAÇA, B. J. (2000). Conceitos Fundamentais da Matemática. Lisboa: Gradiva. ISBN 978-972-662-616-9 DGIDC (2007). Programa de Matemática do Ensino Básico. Lisboa: ME-DGIDC MUSSER, G., BURGER,W. (1997). Mathematics for elementary teachers: a contemporary approach. New Jersey: Prentice Hall. ISBN 0-13-246182-X PALHARES, P (Coord.) (2004). Elementos de Matemática para professores do Ensino Básico. Lisboa: Lidel. ISBN 978-972-757-280-9 NCTM (2007). Princípios e Normas para a Matemática Escolar. Lisboa: APM. ISBN 978-972-8768-24-9