Mathematics and Physics 1Laajuus (5 cr)

Objective

The student can manipulate algebraic expressions and solve equations and simultaneous equations. The student can draw and interpret graphs of functions. The student can find angles, lengths, areas and volumes.The student can identify directly and inversely proportional relationships and they can solve simple application problems using proportionality.

The student knows how to perform unit conversions and work with physical equations. The student can define kinematics quantities and describe the motion of a body computationally and graphically. The student can explain the concept of force and describe different types of forces. The student can draw a force diagram of a body. The student can present Newton's laws and model the dynamics of the body.

Content

Mathematical notation, manipulating algebraic expressions
Linear and quadratic equation, power and radical equation, rational equation, simultaneous equation
Solving equation analytically, graphically and numerically
Function, linear and quadratic function
Trigonometry, angular units, solving a triangle
2D and 3D geometry
Direct and inverse proportion

Quantitative equations and unit conversions
Kinematics: position, displacement, velocity and acceleration
Dynamics: concept of force, types of force, force diagrams, Newton's laws

Assessment criteria, satisfactory (1)

The student recognises the fundamental mathematics concepts and methods and is able to solve simple problems.
The student can describe the most essential physical quantities and principles covered in the course and apply their knowledge in simple contexts.

Assessment criteria, good (3)

The student is able to apply the fundamental mathematics concepts and methods to simple problems in natural and technical sciences.
The student can accurately describe the physical quantities and principles covered in the course and apply their knowledge in practice.

Assessment criteria, excellent (5)

The student is able to apply the fundamental mathematics concepts and methods to more demanding problems in natural and technical sciences.
The student can accurately describe the physical quantities and principles covered in the course and apply their knowledge in complex contexts.

Assessment criteria, approved/failed

The student recognises the fundamental mathematics concepts and methods and is able to solve simple problems.
The student can describe the most essential physical quantities and principles covered in the course and apply their knowledge in simple contexts.