Mathematics subject curriculum (MAT1-03)

Utgått

Denne læreplanen har utgått.

compare and convert between integers, decimal numbers, fractions, percentages, per mil (per thousands) and numbers in standard form, and represent such numbers in varied ways
calculate with fractions, carry out division of fractions and simplify fractions
use factors, powers, square roots and prime numbers in calculations
develop, use and justify the rationale for methods of mental computation, rough estimations and written calculations with regards to the four arithmetic operations
process and factor simple algebraic expressions, and carry out calculations with formulas, brackets and fractions with single term denominator
solve first order equations and inequalities and simple systems of equations with two unknowns
compose simple budgets and perform calculations related to personal finances
use, with and without digital aids, numbers and variables in inquiry, experimentation, practical and theoretical problem solving and technology and design projects

analyse characteristics of two- and three-dimensional figures, both digitally and by hand, and use them in constructions and calculations
perform and explain geometric constructions and representations with ruler and compass and other aids
use similarity and the Pythagorean theorem to calculate unknown sizes/quantities
interpret and compose working drawings and perspective drawings with several vanishing points by using various aids
use coordinates to represent figures and find characteristics of geometric forms
explore, experiment with and formulate logical reasoning by means of geometric ideas, and elaborate on geometric relations that are particularly important in technology, art and architecture

estimate and calculate length, perimeter, angle, area, surface area, volume and time, and use and change scales
choose appropriate measurement units, explain relationships and convert between different measurement units, use and assess measuring instruments and measuring methods for practical measuring, and discuss and elaborate on precision and measuring uncertainty
elaborate on the number π and use it for calculating circumference, area and volume

carry out investigations and use databases to search for and analyse statistical data and critically assess sources
order and group data, find and discuss and elaborate on the median, mode, mean and variance, and display data with and without digital tools
determine probabilities in everyday contexts and games by experimenting, simulating and calculating
describe sample space and represent probability as fraction, percentage and decimal number
demonstrate, using examples, and find the possible solutions to simple combinatorics problems

compose, on paper and digitally, functions that describe numerical relationships and practical contexts, interpret them and convert between varied representations of functions, such as graphs, tables, formulas and text
identify and make use of characteristics of proportional, inversely proportional, linear and elementary quadratic functions, and provide examples of situations that may be described by these functions

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