Mathematics subject curriculum (MAT1-03)

Competence aims after Year 7

Number and algebra

The aims of the training are to enable the apprentice to

• describe the place-value system for decimal numbers, calculate with positive and negative integers, decimal numbers, fractions and percentages, and place them on the number line
• find common denominators and carry out addition, subtraction and multiplication of fractions
• develop and use methods for mental computation, rough estimation and written calculations, and also use a calculator when appropriate
• describe reference system and notation used in formulas in spreadsheets, and use spreadsheets to carry out and present/display simple calculations
• set up and explain calculations and procedures, and argue for solution methods
• explore and describe structures and changes in simple geometric and numeric patterns

Geometry

The aims of the training are to enable the apprentice to

• analyse characteristics of two- and three-dimensional figures and describe objects from technology and everyday life using geometric terms
• build three-dimensional models and draw perspectives with one vanishing point
• describe and carry out mirroring, rotation and parallel displacement
• use coordinates to describe location and movement in a coordinate system on paper and digitally
• use coordinates to calculate distances parallel with the axes in a coordinate system

Measurement

The aims of the training are to enable the apprentice to

• select suitable measuring tools and carry out practical measurements in connection with day-to-day life and technology, and assess the results based on precision and measuring uncertainty
• estimate and measure quantities of length, area, mass, volume, angle and time, and use time and time intervals in simple calculations
• choose suitable measurement units and convert between different measurement units
• explain the structure of measurement units for area and volume and calculate perimeter and area, surface area and volume of simple two- and three-dimensional figures
• use a scale to calculate distances and produce simple maps and working drawings
• use proportions in practical connections, calculate velocity and convert between currencies

Statistics and probability

The aims of the training are to enable the apprentice to

• plan and collect data in connection with observations, questionnaires and experiments
• represent data in tables and graphs produced digitally and by hand, and read, interpret and evaluate their usefulness
• find median, mode and mean for simple data sets and evaluate them in relation to each other
• evaluate chance in everyday contexts, games and experiments and calculate probability in simple situations