Geometry (3cr)

Objective

Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes. They know the basics of spreadsheet computation.

Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.

Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.

Content

Trigonometry:
? Trigonometric functions, especially the sine, cosine and tangent.
? Common trigonometric formulae
? Solving rectangular and oblique triangles

Plane figures:
? Areas of the more common plane figures
? The concept and application of similarity

Space geometry:
? Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
? Calculating volumes and areas
? Scale in three-dimensional space

Qualifications

Algebra

Assessment criteria, satisfactory (1)

1 students understands the basics of geometry
3 student understands and is able to apply the methods of geometry well
5 student understands and is able to apply the methods of geometry excellently

Materials

To be announced at the beginning of the course.

Teaching methods

Lectures, calculations and independent study