Competence aims after Year 4


The aims of the training are to enable the apprentice to
  • describe and use the place-value system for whole numbers, use positive and negative whole numbers, simple fractions and decimal numbers in practical connections, and express number magnitudes in different ways
  • make estimates of and find numbers by means of counting in one’s head, using counting aids and written notes, making estimates by calculatiing with simple numbers, and assessing answers
  • develop and use different arithmetic methods for addition and subtraction of multi-digit numbers in his or her head and on paper
  • develop and use varied methods of multiplication and division, use these in practical situations and use the standard multiplication table counting in one’s head and for solving equations
  • find information in texts or in practical situations, choose an arithmetic operation and provide rationale for the choice, use knowledge of tables about the arithmetic operations and exploit simple relations between the arithmetic operations
  • recognise, experiment with, describe and further develop structures in simple number patterns
  • use mathematical symbols and mathematical modes of expression to express mathematical relationships to solve equations


The aims of the training are to enable the apprentice to
  • recognise, describe the characteristics of and sort circles, polygons, cones, cylinders and polyhedra
  • draw, build, experiment with and describe geometric figures and models in practical connections, including technology and design
  • recognise, use and describe mirror symmetry and parallel displacement in specific situations
  • make and explore geometric patterns and describe them orally
  • read, place and describe positions in grids, on maps and in coordinate systems, with and without digital tools


The aims of the training are to enable the apprentice to
  • make estimates of and measure length, area, volume, mass, temperature, time and angles and converse about the results and assess whether the result is reasonable or not
  • use non-standardised measurement units and explain the purpose of standardised measurement units, and convert between common measurement units
  • compare magnitudes using suitable measuring tools and simple calculations, present the results and evaluate whether the results are reasonable or not
  • solve practical buying and selling tasks


The aims of the training are to enable the apprentice to
  • collect, sort, note and illustrate data using tally marks, tables and bar graphs, with and without the use of digital tools, and converse about the process and what the illustrations tell us about the data

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