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

Examples of connections

Explanation

Competence aims after year 10

The pupil is expected to be able 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 generalise multiplication of polynomials algebraically and geometrically
  • 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
    compare

    To compare means to examine the character or qualities to discover resemblances or differences between two or more issues.

    the properties of different functions using digital tools
  • create, solve and explain equation sets related to practical situations
  • calculate the slope of a linear function, 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.

    it to explain the concepts change per unit and average speed
  • 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.

    the relationship between constant change by percentage, growth factors and exponential functions
  • extract and
    interpret

    To interpret means to construct a perception or understanding of the meaning of a phenomenon, a practical situation or an artistic expression. The understanding often builds on an analysis of individual elements and how they are linked.

    relevant information from texts related to purchases, sales and different types of loans, 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 to formulate and solve problems
  • plan

    To plan means to set up a course of action to reach a goal. The plan describes how we intend to reach the goal, and may show the link between activities, implementation and the goal.

    , carry out and
    present

    To present means to show, explain and outline a topic or a product. The way of presenting may vary, but the goal of the presentation is to make the topic or product accessible to others. To present may also mean to illustrate and to demonstrate.

    an exploratory work related to one’s personal finances
  • 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.

    functions in modelling and argue for approaches and results
  • model situations related to real datasets,
    present

    To present means to show, explain and outline a topic or a product. The way of presenting may vary, but the goal of the presentation is to make the topic or product accessible to others. To present may also mean to illustrate and to demonstrate.

    the results and argue for the validity of the models
  • 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.

    mathematical properties and relationships by using 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 10 when they formalise thoughts and strategies using mathematical language. They also demonstrate and develop competence when they explore and generalise mathematical relationships and structures using algebra and suitable representations. Furthermore, they also demonstrate and develop competence in mathematics when they reason about and argue for their own and others’ 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 being creative, modelling and reflecting. The teacher and pupils shall engage in dialogue about their development when it comes to discovering relationships between different fields of knowledge and choosing suitable strategies. 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 reflect on their development in the subject. 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 modelling and understanding of mathematics and how to use obtained knowledge and skills in new and unfamiliar contexts.

Assessment of coursework

The grade awarded for coursework shall express the overall competence of the pupil in mathematics after completing year 10. The teacher shall plan and facilitate for the opportunity for the pupils to demonstrate their competence in different ways, including through understanding, reflection and deliberation, and in different contexts. The teacher shall award one grade in mathematics based on the competence the pupil has demonstrated in writing, orally and digitally, by using mathematical forms of expression, problem-solving strategies and reflecting on and arguing for solutions and models.