Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment
Competence aims after year 8
The pupil is expected to be able to
- usepowers and square roots in exploration and problem solving, and argue for approaches and results
To use means to apply something or to carry out a task to reach a goal. To use, which is closely related to apply, is understood as to utilise or to employ, for example, a method or a tool.
- developand communicate strategies for mental arithmetic in calculations
To develop means to design, create, model or shape a new method, a product or a service.
- exploreand describe
To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.
prime number factorisation and useTo describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.
it while calculating with fractionsTo use means to apply something or to carry out a task to reach a goal. To use, which is closely related to apply, is understood as to utilise or to employ, for example, a method or a tool.
- explorerules of algebra
To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.
- describeand generalise patterns in one’s own words and algebraically
To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.
- create and solve problems related to compound units of measurement
- make and explain mathematical expressions with numbers, variables and constants related to practical situations
- create, solve and explain equations related to practical situations
- explore, explain and compare
To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.
functions related to practical situationsTo compare means to examine the character or qualities to discover resemblances or differences between two or more issues.
- represent functions in different ways and show the relationships between the representations
- explorehow algorithms can be created, tested and improved by means of programming
To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.
Formative assessment
Formative assessment shall help to promote learning and develop competence in the mathematics subject. The pupils demonstrate and develop competence in the subject in year 8 when they explore and generalise mathematical relationships algebraically. They also demonstrate and develop competence when they explore practical contexts and translate between representations in problem solving and modelling. Furthermore, they also demonstrate and develop competence in mathematics when they reason about and argue for approaches and solutions.
The teacher shall facilitate for pupil participation and stimulate the desire to learn by allowing the pupils to explore mathematics and solve mathematical problems by using strategies, and by being creative, reasoning and reflecting. The teacher and pupils shall engage in dialogue about their development in mathematics. The pupils shall have the opportunity to try and fail. With the competence the pupils have demonstrated as the starting point, they shall have the opportunity to express what they believe they have achieved and how they have improved their skills. The teacher shall provide guidance on further learning and adapt the teaching to enable the pupils to use the guidance provided to develop their competence in discovering relationships in functions and algebra, their competence in solving problems and their competence in arguing for solutions.