Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment

Examples of connections

Explanation

Competence aims after year 8

The pupil is expected to be able to

  • use powers and square roots in exploration and problem solving, and argue for approaches and results
  • develop and communicate strategies for mental arithmetic in calculations
  • explore and describe prime number factorisation and use it while calculating with fractions
  • explore rules of algebra
  • describe and generalise patterns in one’s own words and algebraically
  • 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 functions related to practical situations
  • represent functions in different ways and show the relationships between the representations
  • explore how algorithms can be created, tested and improved by means of programming

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.