Paper 24-25
DOI: https://doi.org/10.26883/2010.241.5945
ЕДНО ЗАНЯТИЕ В ПРОФИЛИРАНАТА ПОДГОТОВКА ПО МАТЕМАТИКА В 11. КЛАС ЗА ВРЪЗКАТА МЕЖДУ ЗНАНИЯТА ЗА ВЕКТОРИ И АЛГЕБРИЧНИ УРАВНЕНИЯ
Даниела Йорданова Цветкова¹, Марта Костадинова Теофилова²
¹Природо-математическа гимназия „Академик Боян Петканчин“, Хасково
²Факултет по математика и информатика, Пловдивски университет „Паисий Хилендарски“, Пловдив
A LESSON IN THE PROFILED PREPARATION IN MATHEMATICS IN THE 11TH GRADE ON THE RELATION BETWEEN THE KNOWLEDGE OF VECTORS AND ANGEBRAIC EQUATIONS
Daniela Yordanova Tsvetkova¹, Marta Kostadinova Teofilova²
¹‘Academician Boyan Petkanchin’ High School of Science and Mathematics
²Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski
* Работата е подкрепена от проект СП23-ФМИ-008, финансиран от Фонд „Научни изследвания“ при Пловдивския университет „П. Хилендарски“. Авторите благодарят на проф. д-р Пенка Рангелова за ценните идеи, съвети и препоръки при разработването на статията.
Abstract: With the present work, we would like to share our experience with a generalized lesson on vector operations in the profiled preparation in mathematics in the 11th grade. The purpose of this lesson is to reinforce students’ acquired knowledge by using intra-subject connections between algebra and geometry. The proposed problems for linear and metric operations with vectors are solved by applying some of the before studied properties of functions and methods for solving equations and systems of equations. Problems on linear combinations of vectors, linear dependence and independence, scalar product and perpendicularity of vectors are considered, the solving of which leads to different types of rational, irrational or transcendental equations.
Keywords: vector, equation, scalar product, collinearity, perpendicularity of vectors
References:
- Galabova, D., M. Siderova. Matematika – 11. klas. Profilirana podgotovka, Vedi, 2020, ISBN 978-954-8857-54-3.
- Tonov, I. i dr. Matematika – Geometria, profilirana podgotovka, 11. klas. Regalia 6, 2020, ISSN 978-954-745-330-2.
