GeometryLaajuus (4 cr)
Code: 8B00DT58
Objective
The student understands the main rules and properties of plane and solid geometry, vectors, trigonometric functions, and complex numbers, and uses them in various problems and tasks.
Content
Plane and solid geometry, vector calculus (including dot product and cross product), trigonometric expressions, equations and curves, and the trigonometric circle, as well as the complex plane, different representations of complex numbers, and operations with complex numbers.
Assessment criteria, satisfactory (1)
The student recognizes tasks in plane and spatial geometry, plane and space vectors, as well as trigonometric expressions and equations. The student solves simple tasks in plane and spatial geometry, handles simple vector expressions, and simple trigonometric expressions and equations. The student stays on schedule.
Assessment criteria, good (3)
The student understands and utilizes plane and spatial geometry, plane and space vectors, trigonometric expressions and equations, as well as the complex plane and various representations of complex numbers. The student solves plane and spatial geometric tasks, handles vector expressions, trigonometric expressions and equations, as well as complex number expressions and equations. The student justifies their solution methods. The student stays on schedule.
Assessment criteria, excellent (5)
In addition to the previous skills, the student applies equation-solving and expression-handling skills diversely to solve various tasks in plane and spatial geometry, vector problems, problems related to trigonometric functions, as well as tasks involving complex numbers and the complex plane. The student seeks alternative solutions in geometric problems and evaluates the suitability of the used method and the reliability of the solutions. The student stays on schedule.