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

Examples of connections

Explanation

Competence aims after year 3

The pupil is expected to be able to

  • develop

    To develop means to design, create, model or shape a new method, a product or a service.

     and use

    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.

     suitable strategies for subtracting in practical situations
  • explore

    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.

     and explain relationships between addition and subtraction and use

    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.

     this in one’s own mental arithmetic and problem solving
  • explore

    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.

     multiplication by counting
  • experiment with multiplication and division in everyday situations
  • represent multiplication in different ways and switch between the different representations
  • use

    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.

     commutative, associative and distributive properties to explore

    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.

     and describe

    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.

     strategies in multiplication
  • describe

    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.

     equality and inequality in comparing sizes, sets, expressions and numbers and use

    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.

     the symbol for equals and does not equal
  • explore

    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.

     equilibrium and balance in practical situations, represent this in different ways and switch between the different representations
  • use

    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.

     different units of measurement for length and mass in practical situations and argue for the choice of unit of measurement
  • experiment with and explain positions in the coordinate system
  • create and follow rules and step-by-step instructions in play and games related to the coordinate system

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 3 when they explore and discover relationships in the arithmetical operations, and use this to explain their thought processes. The pupils also demonstrate and develop competence when they use different problem solving strategies to explore mathematics in everyday life. They also demonstrate and develop competence in mathematics when they wonder, ask mathematical questions, test and use mathematical concepts, and explain and argue for their own solutions.

The teacher shall facilitate for pupil participation and stimulate their desire to learn by allowing the pupils to explore mathematics through moving, playing, being creative and having a sense of wonder. The teacher and pupils shall engage in dialogue about their development in numeracy and understanding of numbers. The pupils shall have the opportunity to try and fail. With the competence the pupils have demonstrated as the starting point, they shall be given 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 exploring and solving problems related to numeracy strategies and their competence in communicating using mathematical concepts.