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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. 1. Number sets: integers, whole, rational and real numbers; operations with numbers. Number representation system. Absolut value of real number. 2. Powers with rational exponent, operation with them. 3. Algebraic expressions and their adaptations. Polynomials and operations with them, essential formulas, decomposition. 4. Function. Concept of function, essential properties, determination of properties from graphs of function. 5. Elementary functions 1 - list, graphs and their transformations. 6. Elementary functions 2 - list, graphs and their transformations. 7. Linear equations and inequalities with one, esp. two variables. Computative and graphic solution. 8. Quadratic equations, equations with absolut value. Computative and graphic solution. 9. Quadratic inequalities, inequalities with absolut value. Computative and graphic solution. 10. Another types of equations and inequalities: logarithmic equation and exponential equations. 11. Another types of equations and inequalities: irrational, with unknown in denominator. 12. Goniometric equations and inequalities. 13. Sequences (arithmetic, geometric). 14. Evaluation of the semester, credits.
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Learning activities and teaching methods
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Working activities (workshops), Problematic methods (research and exploration), Group consultation, Individual consultation, Practicum
- 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, absolute value, algebraic expressions, elementary functions, equations, inequalities (linear, quadratic, with absolute value), arithmetic and geometric sequences.
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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Combined examination
Active participations on seminars, 2 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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Petáková, J. Matematika příprava k maturitě a k přijímacím zkouškám na vysoké školy.. Praha, 1998. ISBN 80-7196-099-3.
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