Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment
Competence aims after year 3
The pupil is expected to be able to
- developand
To develop means to design, create, model or shape a new method, a product or a service.
usesuitable strategies for subtracting in practical situationsTo 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.
- exploreand explain relationships between addition and subtraction 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.
usethis in one’s own mental arithmetic and problem solvingTo 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.
- exploremultiplication by counting
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.
- experiment with multiplication and division in everyday situations
- represent multiplication in different ways and switch between the different representations
- usecommutative, associative and distributive properties to
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.
exploreandTo 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.
describestrategies in multiplicationTo 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.
- describeequality and inequality in comparing sizes, sets, expressions and numbers 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.
usethe symbol for equals and does not equalTo 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.
- exploreequilibrium and balance in practical situations, represent this in different ways and switch between the different representations
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.
- usedifferent units of measurement for length and mass in practical situations and argue for the choice of unit of measurement
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.
- 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.