Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment
Competence aims after year 10
The pupil is expected to be able to
- explore and generalise multiplication of polynomials algebraically and geometrically
- explore and compare 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 it to explain the concepts change per unit and average speed
- explore the relationship between constant change by percentage, growth factors and exponential functions
- extract and interpret relevant information from texts related to purchases, sales and different types of loans, and use this to formulate and solve problems
- plan, carry out and present an exploratory work related to one’s personal finances
- use functions in modelling and argue for approaches and results
- model situations related to real datasets, present the results and argue for the validity of the models
- explore 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.