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

This curriculum is no longer in force.

Examples of connections

Explanation

Competence aims after year 6

The pupil is expected to be able to

  • 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.

    , name and place decimal numbers on the number line

  • 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.

     strategies for calculating with decimal numbers and

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

     this with strategies for calculating with whole numbers
  • formulate and solve problems from one’s own everyday life related to decimal numbers, fractions and percentages, and explain one’s own thought processes

  • 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.

     properties and minimum definitions of two and three dimensional figures, and explain what properties the figures have in common, and what properties distinguish them from one another

  • 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

    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.

     symmetry in patterns and carry out congruent mapping with and without a coordinate system

  • To measure a quantity or a property means to compare it to another quantity or property of the same kind.

     the radius, diameter and circumference of circles, and

    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 argue for how they are interrelated

  • 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.

     measures for area and volume in practical situations and represent them in different ways

  • 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 strategies to calculate area and circumference, and

    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 relationships between these

  • 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.

     variables and formulas to express relationships in practical situations

  • 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.

     variables, loops, conditions and functions in programming to

    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.

     geometric figures and patterns

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 6 when they use mathematical concepts in communication and argumentation. The pupils also demonstrate and develop competence when they use different representations and strategies to explore relationships when working with patterns, geometric figures and decimal numbers. They also demonstrate and develop competence in mathematics when they use their knowledge and skills to explore, formulate and solve problems related to practical situations. Furthermore, they also demonstrate and develop competence in mathematics when they reason about and argue for solutions and mathematical relationships.

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, and by reasoning and reflecting. The teacher and pupils shall engage in dialogue about their development in programming and geometry. 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 to see relationships between different representations and problem solving strategies.