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Lecturer(s)
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Břehovský Jiří, Mgr. Ph.D.
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Course content
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The subject is focused on the repetition of secondary school mathematics from the point of view of the future teacher of elementary school. It is taught in Czech. The subject is focused on the repetition of secondary school mathematics from the point of view of the future teacher of elementary school. It is taught in Czech. 1. Number sets: integers, whole, rational and real numbers; operations with numbers. Number representation system. Absolut value of real number. Divisibility, splitting, highest common factor, lowest common multiple. 2. Powers with rational exponent, operation with them. Logarithms and operations with them. 3. Algebraic expressions and their adaptations. Polynomials and operations with them, essential formulas, decomposition. 4. Test. Function. Concept of function, essential properties. 5. Elementary functions - list, graphs and their transformations. 6. Linear equations and inequalities with one, esp. two variables. Computative and graphic solution. 7. Test. Quadratic equations, equations with absolut value. Computative and graphic solution. 8. Quadratic inequalities, inequalities with absolut value. Computative and graphic solution. 9. Another types of equations (goniometric, with the unknown in the denominator and in the root). 10.Test. Sequence, esp. arithmetic and geometric. 11. Principles of combinatorics. Pascal triangle, binomial theorem. 12. Word given problems. 13. Test. Time reserve. 14. Evaluation of the semester, credits.
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Learning activities and teaching methods
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Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Working activities (workshops), Problematic methods (research and exploration), Group consultation, Individual consultation, Seminár
- Class attendance
- 28 hours per semester
- Preparation for credit
- 14 hours per semester
- Home preparation for classes
- 18 hours per semester
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Learning outcomes
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Seminar is focused on secondary school mathematics - number domains, algebraic expressions, elementary functions, equations, inequalities (linear, quadratic, with absolute value), arithmetic and geometric sequences, combinatorics.
A good orientation in secondary school mathematics from the point of view of the future teacher in elementary school.
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Prerequisites
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Knowledge of secondary school mathematics.
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Assessment methods and criteria
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Student's performance analysis, Systematické pozorování studenta, Written assignment, Test
Active participations on seminars, 4 successfully absolved tests. Mathematics of primary school, elementary knowledge of secondary school mathematics (by curriculum of gymnasium, humanities).
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Recommended literature
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Učebnice matematiky pro gymnázia. Praha, Prometheus, lib.
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Polák, J. Přehled středoškolské matematiky. Praha, Prometheus, 1995.
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Polák, J. Středoškolská matematika v úlohách I, II. Praha, Prometheus, 1999.
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