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

## Competence aims after year 5

• explore
and explain relationships between fractions, decimal numbers and percentages, and use
these in mental arithmetic
• describe
fractions as parts of the whole, as parts of a set and as numbers on the number line, and evaluate and name the quantities
• represent fractions in different ways and switch between the different representations
• develop
and use
different strategies for calculations with positive numbers and fractions, and explain one’s own thought processes
• formulate and solve problems from one’s own everyday life that are related to fractions
• discuss randomness and probability in games and practical situations and relate this to fractions
• solve equations and inequalities through logical reasoning and explain what it means that a number is a solution to an equation
• create and solve tasks in a spreadsheet related to personal finance
• formulate and solve problems from one’s own everyday life that are related to time
• create and programme algorithms with the use of variables, conditions and loops