# Tópicos de Geometria

Teacher Responsible: João José Gramaxo De Sampaio Maia

2º Ano | 2º Semestre

**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