Mathematics T (MAT09‑02)
Competence aims and assessment

Examples of connections

Explanation

Competence aims

The pupil is expected to be able to

  • formulate and solve problems through the use of computational thinking, different problem solving strategies, digital tools and programming
  • read and

    To understand means to perceive the meaning of something, realise what is communicated or how something is connected. Understanding can be demonstrated by explaining, discussing alternatives, comparing relevant methods or assessing quality.

     mathematical proofs 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

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

     proofs in relevant mathematical topics
  • identify variable quantities in different contexts, create formulas 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.

     these using digital tools

  • 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 solving equations, systems of equations and inequalities, and argue for one’s thought processes
  • explain the difference between an identity, an equation, an algebraic expression and a function

  • 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.

     relationships between quadratic equations, quadratic inequalities, quadratic functions and the binomial formulas, and

    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.

     these relationships in problem solving
  • model situations related to different topics,

    To discuss means to consider different ideas and opinions related to sides of an issue, and to argue for and against. A discussion can be ended with a conclusion. We can discuss independently and in dialogue with others. A debate among several persons on a subject can mean the same as to discuss. To discuss in mathematics also means to find and analyse different functions traits and properties.

    ,

    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.

     and explain the results and argue the validity of the models
  • read, extract and evaluate mathematics in relevant texts on various topics and

    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.

     relevant calculations and analyses of the results

  • 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.

     the properties of polynomial functions, rational functions, exponential functions and power functions

  • 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.

     average and instantaneous growth rates in concrete examples and account for the derivative
  • explain polynomial division and

    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 rewrite algebraic expressions,

    To discuss means to consider different ideas and opinions related to sides of an issue, and to argue for and against. A discussion can be ended with a conclusion. We can discuss independently and in dialogue with others. A debate among several persons on a subject can mean the same as to discuss. To discuss in mathematics also means to find and analyse different functions traits and properties.

     functions and solve equations and inequalities

  • To explain something means to give a well-grounded explanation of a subject, an issue or something we wish to examine or implement.

     the definitions of sine, cosine and tangent and

    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.

     trigonometry to calculate the length, angles and area of arbitrary triangles
  • justify the area, sine and cosine rules

  • 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.

     trigonometry to

    To analyse means to investigate an issue, an object or a concept to determine a viewpoint or meaning. To analyse can also mean making a thorough or systematic study of individual elements and comparing the relationship between them. The analysis can also apply to a work process.

     and solve complex theoretical and practical problems involving length, angles and area

Formative assessment

Formative assessment shall help to promote learning and develop competence in mathematics 1T. The pupils demonstrate and develop competence in the subject when they find, understand and generalise mathematical relationships. The pupils also demonstrate and develop competence when they work exploratively, with a problem solving approach and through modelling by planning, carrying out and presenting subject-related work. The pupils also demonstrate and develop competence by exploring mathematical concepts, using mathematical methods and reasoning.

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 reasoning, arguing and modelling. The teacher and the pupils shall engage in dialogue about their development in programming and strategies for solving 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 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 discovering relationships between mathematics and theoretical applications.

Assessment of coursework

The grade awarded for coursework shall express the overall competence of the pupil after completing mathematics 1T. The teacher shall plan and facilitate for the opportunity for the pupils to demonstrate their competence in different ways, including through understanding, reflection and critical thinking, 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.