Abstract
The classification of skills is developed, which is the basis for the development of the pupils’ mathematical abilities for basic and in-depth study of the algebra course and the beginning of analysis in the format of numerical, algebraic, trigonometric and stochastic lines. Block 1 (skills, students at the basic level, aimed at mastering the methods of learning mathematical activity (mastering the basic techniques of general learning activity, operating (rational expressions, functions, power with a rational exponent, square roots and polynomials), mastering the technology to solve (equation, inequality and a system of equations with two variables), operation (sequences, elements of combinatorics, and probabilistic properties of the surrounding phenomena.) Block 2 (students’ abilities in depth (algebraic and irrational expressions, functions, degrees with rational and irrational exponent, n-th roots and polynomials), mastering the technology to solve (equation, system of equations and system of inequalities with two variables), operating sequences, elements of combinatorics, and probabilistic properties of surrounding phenomena).
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