Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment
Competence aims after year 7
The pupil is expected to be able to
- developand use
To develop means to design, create, model or shape a new method, a product or a service.
suitable strategies in calculations with fractions, decimal numbers and percentages, and explain one’s own thought processesTo 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.
- represent and usefractions, decimal numbers and percentages in different ways and explore
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 mathematical relationships between these representationsTo 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.
- explorenegative numbers in practical situations
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.
- usea number line in calculations with positive and negative numbers
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.
- usecompound mathematical expressions to describe
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.
and do calculationsTo 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.
- usedifferent strategies to solve linear equations and inequalities, and evaluate whether the solutions are valid
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.
- exploreand use
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.
suitable measures of central tendency in one’s own and others’ statistical inquiriesTo 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.
- log, sort, presentand read data in tables and diagrams, and argue for the choice of representation
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.
- create and evaluate budgets and accounts by using spreadsheets with cell references and formulas
- useprogramming to explore
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.
data in tables and datasetsTo 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.
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 7 when they explore and reflect on mathematical relationships, use mathematical concepts in communication and use different representations and problem solving strategies. They also demonstrate and develop competence when they use their knowledge and skills to formulate and solve problems related to practical situations in everyday life and in society. 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 strategies to solve problems. 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 discover relationships in mathematics and their competence in solving problems and communication about mathematics.