Ziua Mondiala a Sanatatii Mintale- 10 Octombrie , 2021Mihaela Ursachi
Nu există sănătate fără sănătate mintală.
Activitate în cadrul Proiectului Erasmus+ Healthy body, healthy mind, W zdrowym ciele, zdrowy duch- cu numărul de referință : Nr- 2020- 1- PL01- KA229- 081699_3, proiect finanțat de Comisia Europeană, prin programul ERASMUS+, Acțiunea KA2, Schimb de bune practici, prin Agentia Națională de Programe Comunitare și Dezvoltare Profesională.
Diseminare Short term activity- Sofia, Bulgaria21.08-26.08.2021Mihaela Ursachi
HOOKED ON MATHEMATICS cu numărul de referință : Nr 2018-LT01-KA229-047003_6, proiect finanțat de Comisia Europeană, prin programul ERASMUS+, Acțiunea KA2, Schimb de bune practici, prin Agentia Națională de Programe Comunitare și Dezvoltare Profesională.
Diseminare activitate pe termen scurt= pozzallo italiaMihaela Ursachi
În perioada 1.07 -7.07-2021 în Italia , localitatea Pozzallo , la școala ” Istituto di Istruzione Superiore "G. La Pira"” , a avut loc ce de a cincea reuniune transnațională- Short-term exchanges of groups of pupils din cadrul proiectului Erasmus+ Hooked on Mathematics, Nr 2018-LT01-KA229-047003_6, ce se implementează la Colegiul Tehnic “Petru Poni ” în perioada 1.09.2018- 31.08.2021.
La această reuniune , din cadrul liceului au participat două cadre didactice:Stan Mihaela coordonatorul proiectului ,profesor Dascălu Mariana Gabriela și două eleve: Alexandru Maria Roxana și Dinu Alexandra Cristiana, clasa a XI a E
Christmas Recipes and Mathematical Calculations - MakowkiMihaela Ursachi
MakÃ3wki are a traditional Polish Christmas bread made with poppy seed. The document provides recipes and instructions for making the dough and poppy seed filling. To make the dough, flour, egg yolks, and water are kneaded together. The poppy seed filling consists of ground poppy seeds, melted butter, honey, raisins, and walnuts mixed together. The dough sticks are boiled for 5 minutes then rolled in the poppy seed filling to create the sweet bread. Nutritional information is also provided.
Christmas Recipes and Mathematical Calculations- PierogiMihaela Ursachi
Pierogi is a popular Polish dish that is often served on Christmas Eve. It consists of dough pockets filled with various stuffings, most commonly potatoes and cheese. The document provides recipes for the dough and potato-cheese stuffing. It explains how to make the stuffing by cooking and mashing potatoes, sautéing onions, and mixing it all together with cottage cheese. The dough is made with flour, water, oil, salt and egg. Small balls of stuffing are placed in dough circles, which are then folded and sealed to form the pierogi. The finished pierogi are boiled for 4 minutes before being served with melted butter.
Christmas Recipes and Mathematical Calculations- KutiaMihaela Ursachi
Kutia is a Ukrainian sweet grain pudding traditionally served on Christmas Eve. It is made from wheat berries, berries, honey or sugar, nuts, raisins, and poppy seeds. In some places, a small bowl of kutia is placed outside as an offering to Father Frost before eating. To make kutia, wheat berries are simmered until tender, then mixed with soaked poppy seeds, dried fruit, honey, nuts and milk or water before chilling. Kutia is a filling Christmas dessert with 540 calories per serving.
Ziua Mondiala a Sanatatii Mintale- 10 Octombrie , 2021Mihaela Ursachi
Nu există sănătate fără sănătate mintală.
Activitate în cadrul Proiectului Erasmus+ Healthy body, healthy mind, W zdrowym ciele, zdrowy duch- cu numărul de referință : Nr- 2020- 1- PL01- KA229- 081699_3, proiect finanțat de Comisia Europeană, prin programul ERASMUS+, Acțiunea KA2, Schimb de bune practici, prin Agentia Națională de Programe Comunitare și Dezvoltare Profesională.
Diseminare Short term activity- Sofia, Bulgaria21.08-26.08.2021Mihaela Ursachi
HOOKED ON MATHEMATICS cu numărul de referință : Nr 2018-LT01-KA229-047003_6, proiect finanțat de Comisia Europeană, prin programul ERASMUS+, Acțiunea KA2, Schimb de bune practici, prin Agentia Națională de Programe Comunitare și Dezvoltare Profesională.
Diseminare activitate pe termen scurt= pozzallo italiaMihaela Ursachi
În perioada 1.07 -7.07-2021 în Italia , localitatea Pozzallo , la școala ” Istituto di Istruzione Superiore "G. La Pira"” , a avut loc ce de a cincea reuniune transnațională- Short-term exchanges of groups of pupils din cadrul proiectului Erasmus+ Hooked on Mathematics, Nr 2018-LT01-KA229-047003_6, ce se implementează la Colegiul Tehnic “Petru Poni ” în perioada 1.09.2018- 31.08.2021.
La această reuniune , din cadrul liceului au participat două cadre didactice:Stan Mihaela coordonatorul proiectului ,profesor Dascălu Mariana Gabriela și două eleve: Alexandru Maria Roxana și Dinu Alexandra Cristiana, clasa a XI a E
Christmas Recipes and Mathematical Calculations - MakowkiMihaela Ursachi
MakÃ3wki are a traditional Polish Christmas bread made with poppy seed. The document provides recipes and instructions for making the dough and poppy seed filling. To make the dough, flour, egg yolks, and water are kneaded together. The poppy seed filling consists of ground poppy seeds, melted butter, honey, raisins, and walnuts mixed together. The dough sticks are boiled for 5 minutes then rolled in the poppy seed filling to create the sweet bread. Nutritional information is also provided.
Christmas Recipes and Mathematical Calculations- PierogiMihaela Ursachi
Pierogi is a popular Polish dish that is often served on Christmas Eve. It consists of dough pockets filled with various stuffings, most commonly potatoes and cheese. The document provides recipes for the dough and potato-cheese stuffing. It explains how to make the stuffing by cooking and mashing potatoes, sautéing onions, and mixing it all together with cottage cheese. The dough is made with flour, water, oil, salt and egg. Small balls of stuffing are placed in dough circles, which are then folded and sealed to form the pierogi. The finished pierogi are boiled for 4 minutes before being served with melted butter.
Christmas Recipes and Mathematical Calculations- KutiaMihaela Ursachi
Kutia is a Ukrainian sweet grain pudding traditionally served on Christmas Eve. It is made from wheat berries, berries, honey or sugar, nuts, raisins, and poppy seeds. In some places, a small bowl of kutia is placed outside as an offering to Father Frost before eating. To make kutia, wheat berries are simmered until tender, then mixed with soaked poppy seeds, dried fruit, honey, nuts and milk or water before chilling. Kutia is a filling Christmas dessert with 540 calories per serving.
The Technical College "Petru Poni" in Roman, Romania was founded in 1880 and offers students training in various fields like science, technology, economics and construction materials through its high school and vocational school programs, with the goal of preparing students for university or careers and integrating into EU structures. The school has over 700 students and 77 teachers across its departments and offers facilities like computer, science and technical labs.
The document discusses the importance of learning a foreign language. It provides reasons such as making you smarter by improving reasoning, problem-solving, and creativity. Learning a foreign language also allows you to speak to more people and deepen connections and understanding. Additionally, it creates more positive attitudes and less prejudice toward people who are different.
Meteorologists use complex computer models and mathematics to make weather predictions. They apply principles of physics, partial derivatives, algebra, calculus, and statistics to analyze phenomena like temperature, wind, and precipitation. For example, a weather forecaster used basic math to determine that the temperature at noon would be 12 degrees higher than at 9 am, rising by 2 degrees every 30 minutes over 3 hours. A degree in fields like computer science, environmental science, mathematics or physics can prepare someone for a career as a meteorologist.
Variations - 144 SECONDARY SCHOOL NARODNI BUDITELIMihaela Ursachi
This document discusses variations, which are combinations of elements where order and repetition matter. It provides examples of calculating the number of variations for different scenarios, such as distributing medals to athletes, writing two-digit numbers with distinct digits, forming music chords from notes, generating phone numbers with restricted digits, and counting words in a language using a limited alphabet. The examples demonstrate using the variation formula to systematically count the possible combinations in each case.
Combinatorics- 144 SECONDARY SCHOOL NARODNI BUDITELIMihaela Ursachi
Combinatorics is a branch of mathematics primarily concerned with counting and certain properties of finite structures. It has applications in many areas. The document discusses the definition and history of combinatorics. It also covers categories like permutations, variations, and combinations. Examples are provided to demonstrate calculating permutations of arrangements, like the number of ways to arrange boys and girls in a line or four-digit numbers containing specific digits. The final example solves how many ways eight students can be accommodated in rooms of different sizes.
The method and solution- 4SEHIT MURAT INCI ANADOLU IMAM HATIP LISESIMihaela Ursachi
To solve problems with multiple unknowns, we use the method of equations. We can set up two equations relating the unknowns, with one equation for each independent relationship between the variables. For example, if trying to determine the number of three-person and four-person seats in a bank with 40 total seats and 146 total people, we can set up equations for the number of seats equaling 40 and the number of people equaling 146. Solving the two equations simultaneously using substitution or another method provides the values of the unknowns.
Lottery Jackpot- SEHIT MURAT INCI ANADOLU IMAM HATIP LISESIMihaela Ursachi
The document discusses the probability of winning the lottery jackpot. It explains that the lottery involves selecting 7 numbers correctly out of 10 numbers each from 7 balls. The probability of selecting any one number is 1/10. So the probability of selecting all 7 numbers correctly is 1/10,000,000. Therefore, the chance of winning the jackpot is very low, at 1 in 10 million.
The most mathematiciens -ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
This document provides biographies of important Italian mathematicians from 1170 to 1860, including Leonardo Fibonacci, Niccolò Tartaglia, Galileo Galilei, Evangelista Torricelli, Paolo Ruffini, and Vito Volterra. It discusses their contributions to mathematics, such as Fibonacci introducing the Fibonacci sequence, Tartaglia discovering the binomial triangle, Torricelli inventing the mercury barometer, Ruffini proving algebraic equations cannot be solved after the fourth degree, and Volterra developing functional analysis and integral equations. The document presents the mathematicians' lives and major works in mathematics and physics that advanced scientific understanding.
My piece of Mathematical Art-6ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
The document summarizes a mathematical art project depicting the TRAPPIST-1 planetary system discovered by NASA in 2017. It consists of a central ultra-red dwarf star called TRAPPIST-1 that is much smaller than our Sun, and 7 planets orbiting it. One planet, TRAPPIST-1e, is similar to Earth and spends 6 days orbiting the star, making it a potentially habitable exoplanet. The artist created the project based on data from the Spitzer Space Telescope to accurately visualize this newly discovered planetary system.
Maurits Cornelis Escher-6ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
Maurits Cornelis Escher was a Dutch graphic artist known for his mathematically inspired and impossible objects. He was inspired by the intricate tile designs of the Alhambra in Spain. While some viewed his work as too intellectual, Escher explored mathematical concepts like tessellation, hyperbolic geometry, perspective and symmetry. Some of his most famous works include Tower of Babel, Gravitation, and Waterfall which features the Penrose triangle, an impossible object.
Trigonometry 2 -ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
Trigonometry studies the relationships between sides and angles of triangles. The sine, cosine, and tangent functions describe ratios of sides in right triangles. Spherical trigonometry applies these concepts to triangles on the surface of a sphere. It is used to solve problems involving latitude, longitude, and great circles. Key formulas in spherical trigonometry include the cosine rule, sine rule, and cotangent law, which relate angles and sides of spherical triangles.
The lesson plan introduces trigonometric functions to a 3rd class intermediate curriculum with 20 students. It defines sin, cos, tan, cotan functions through representations of half lines and angles on a plane and in the Cartesian plane. The plan includes warm-up, theory presentation, practice with representations and the Cartesian plane, testing, and homework assignments to further study and practice the new concepts.
Art and math- 6. ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
This document discusses the connections between math and art. It explores how concepts from math like perspective and the golden ratio are incorporated into artworks. Perspective involves representing 3D objects in 2D and was pioneered by Filippo Brunelleschi in 1415 using similar triangles. Leonardo Da Vinci also used linear perspective and incorporated the golden ratio in works like the Vitruvian Man. Astronomy has also inspired many artists, and modern artists now create representations of astronomical discoveries like the TRAPPIST-1 exoplanet system.
This lesson plan aims to teach students about numbers and dates from their school's history through mathematical problems. It will take 45 minutes and includes the following steps:
1. Students will work in pairs to solve word problems related to quantities from the school's founding and look up the historical meaning of the answers.
2. Students will solve another numerical problem and research its connection to the school.
3. In pairs, students will create new word or arithmetic problems using other important dates from the school's history and present their problems.
4. Students will review the dates used and their significance. They will reflect on what they learned about improving their math, communication, and problem-solving skills through exploring their school
ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA- school ppt presentationMihaela Ursachi
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
This document discusses using the method of "honest distribution" to find the equation of a tangent line to both a parabola and an ellipse at given points. For the parabola with the point (-4, -4), replacing the x and y coordinates in the equation yields the tangent line equation 2x - 4 - y = 0. For the ellipse with the point (3, 2), replacing the coordinates in the equation results in the tangent line equation 6x + 14 - y = 0.
The Technical College "Petru Poni" in Roman, Romania was founded in 1880 and offers students training in various fields like science, technology, economics and construction materials through its high school and vocational school programs, with the goal of preparing students for university or careers and integrating into EU structures. The school has over 700 students and 77 teachers across its departments and offers facilities like computer, science and technical labs.
The document discusses the importance of learning a foreign language. It provides reasons such as making you smarter by improving reasoning, problem-solving, and creativity. Learning a foreign language also allows you to speak to more people and deepen connections and understanding. Additionally, it creates more positive attitudes and less prejudice toward people who are different.
Meteorologists use complex computer models and mathematics to make weather predictions. They apply principles of physics, partial derivatives, algebra, calculus, and statistics to analyze phenomena like temperature, wind, and precipitation. For example, a weather forecaster used basic math to determine that the temperature at noon would be 12 degrees higher than at 9 am, rising by 2 degrees every 30 minutes over 3 hours. A degree in fields like computer science, environmental science, mathematics or physics can prepare someone for a career as a meteorologist.
Variations - 144 SECONDARY SCHOOL NARODNI BUDITELIMihaela Ursachi
This document discusses variations, which are combinations of elements where order and repetition matter. It provides examples of calculating the number of variations for different scenarios, such as distributing medals to athletes, writing two-digit numbers with distinct digits, forming music chords from notes, generating phone numbers with restricted digits, and counting words in a language using a limited alphabet. The examples demonstrate using the variation formula to systematically count the possible combinations in each case.
Combinatorics- 144 SECONDARY SCHOOL NARODNI BUDITELIMihaela Ursachi
Combinatorics is a branch of mathematics primarily concerned with counting and certain properties of finite structures. It has applications in many areas. The document discusses the definition and history of combinatorics. It also covers categories like permutations, variations, and combinations. Examples are provided to demonstrate calculating permutations of arrangements, like the number of ways to arrange boys and girls in a line or four-digit numbers containing specific digits. The final example solves how many ways eight students can be accommodated in rooms of different sizes.
The method and solution- 4SEHIT MURAT INCI ANADOLU IMAM HATIP LISESIMihaela Ursachi
To solve problems with multiple unknowns, we use the method of equations. We can set up two equations relating the unknowns, with one equation for each independent relationship between the variables. For example, if trying to determine the number of three-person and four-person seats in a bank with 40 total seats and 146 total people, we can set up equations for the number of seats equaling 40 and the number of people equaling 146. Solving the two equations simultaneously using substitution or another method provides the values of the unknowns.
Lottery Jackpot- SEHIT MURAT INCI ANADOLU IMAM HATIP LISESIMihaela Ursachi
The document discusses the probability of winning the lottery jackpot. It explains that the lottery involves selecting 7 numbers correctly out of 10 numbers each from 7 balls. The probability of selecting any one number is 1/10. So the probability of selecting all 7 numbers correctly is 1/10,000,000. Therefore, the chance of winning the jackpot is very low, at 1 in 10 million.
The most mathematiciens -ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
This document provides biographies of important Italian mathematicians from 1170 to 1860, including Leonardo Fibonacci, Niccolò Tartaglia, Galileo Galilei, Evangelista Torricelli, Paolo Ruffini, and Vito Volterra. It discusses their contributions to mathematics, such as Fibonacci introducing the Fibonacci sequence, Tartaglia discovering the binomial triangle, Torricelli inventing the mercury barometer, Ruffini proving algebraic equations cannot be solved after the fourth degree, and Volterra developing functional analysis and integral equations. The document presents the mathematicians' lives and major works in mathematics and physics that advanced scientific understanding.
My piece of Mathematical Art-6ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
The document summarizes a mathematical art project depicting the TRAPPIST-1 planetary system discovered by NASA in 2017. It consists of a central ultra-red dwarf star called TRAPPIST-1 that is much smaller than our Sun, and 7 planets orbiting it. One planet, TRAPPIST-1e, is similar to Earth and spends 6 days orbiting the star, making it a potentially habitable exoplanet. The artist created the project based on data from the Spitzer Space Telescope to accurately visualize this newly discovered planetary system.
Maurits Cornelis Escher-6ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
Maurits Cornelis Escher was a Dutch graphic artist known for his mathematically inspired and impossible objects. He was inspired by the intricate tile designs of the Alhambra in Spain. While some viewed his work as too intellectual, Escher explored mathematical concepts like tessellation, hyperbolic geometry, perspective and symmetry. Some of his most famous works include Tower of Babel, Gravitation, and Waterfall which features the Penrose triangle, an impossible object.
Trigonometry 2 -ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
Trigonometry studies the relationships between sides and angles of triangles. The sine, cosine, and tangent functions describe ratios of sides in right triangles. Spherical trigonometry applies these concepts to triangles on the surface of a sphere. It is used to solve problems involving latitude, longitude, and great circles. Key formulas in spherical trigonometry include the cosine rule, sine rule, and cotangent law, which relate angles and sides of spherical triangles.
The lesson plan introduces trigonometric functions to a 3rd class intermediate curriculum with 20 students. It defines sin, cos, tan, cotan functions through representations of half lines and angles on a plane and in the Cartesian plane. The plan includes warm-up, theory presentation, practice with representations and the Cartesian plane, testing, and homework assignments to further study and practice the new concepts.
Art and math- 6. ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA"- Mihaela Ursachi
This document discusses the connections between math and art. It explores how concepts from math like perspective and the golden ratio are incorporated into artworks. Perspective involves representing 3D objects in 2D and was pioneered by Filippo Brunelleschi in 1415 using similar triangles. Leonardo Da Vinci also used linear perspective and incorporated the golden ratio in works like the Vitruvian Man. Astronomy has also inspired many artists, and modern artists now create representations of astronomical discoveries like the TRAPPIST-1 exoplanet system.
This lesson plan aims to teach students about numbers and dates from their school's history through mathematical problems. It will take 45 minutes and includes the following steps:
1. Students will work in pairs to solve word problems related to quantities from the school's founding and look up the historical meaning of the answers.
2. Students will solve another numerical problem and research its connection to the school.
3. In pairs, students will create new word or arithmetic problems using other important dates from the school's history and present their problems.
4. Students will review the dates used and their significance. They will reflect on what they learned about improving their math, communication, and problem-solving skills through exploring their school
ISTITUTO DI ISTRUZIONE SUPERIORE "G.LAPIRA- school ppt presentationMihaela Ursachi
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
This document discusses using the method of "honest distribution" to find the equation of a tangent line to both a parabola and an ellipse at given points. For the parabola with the point (-4, -4), replacing the x and y coordinates in the equation yields the tangent line equation 2x - 4 - y = 0. For the ellipse with the point (3, 2), replacing the coordinates in the equation results in the tangent line equation 6x + 14 - y = 0.