The document provides guidance on using the features and tools available on the TwinSpace online platform for eTwinning projects. It explains how to set up pages, forums, and multimedia galleries to organize project content and discussions. Instructions are given for inviting students and teachers, setting permissions, and using chat and other communication features.
This document provides information about Małgorzata Garkowska, a math teacher of 25 years who has been involved with eTwinning since 2006. It discusses tools she uses for teaching like Google Maps, Google Earth, Google Tour Builder, and GeoGebra. It provides examples of student activities and projects that can be done with these tools including creating maps, virtual field trips, and interactive math constructions. Hands-on instructions are given for students to collaboratively create maps, tours, and complete math tasks using the tools.
This document provides information about Małgorzata Garkowska, a math teacher with over 20 years of experience who has been involved with eTwinning since 2006. It then discusses several free online tools that can be used for educational purposes: Google My Maps for creating customized maps; Google Earth for virtual exploration of places; Google Tour Builder for creating geographic storytelling tours; and GeoGebra for interactive math learning. Instructions are provided on features and functions of each tool. The document concludes with directions for partners to work together using the hands-on tasks of creating maps and tours with Google tools, and constructing geometric shapes and graphs with GeoGebra.
The European Commission has selected the 2012-1-ES1-COM06-52752 project "Why Maths?" as a "success story" based on its impact, contribution to policy-making, innovative results, and creative approach. As a result of this selection, the project will receive increased visibility on Commission websites and social media, and at conferences. The project coordinator may also be contacted by ECORYS, the Commission's contractor for disseminating and exploiting project results, to provide additional materials about the project. The selection recognizes the commitment, enthusiasm, and high-quality work of the project partners.
The document provides guidance on using the features and tools available on the TwinSpace online platform for eTwinning projects. It explains how to set up pages, forums, and multimedia galleries to organize project content and discussions. Instructions are given for inviting students and teachers, setting permissions, and using chat and other communication features.
This document provides information about Małgorzata Garkowska, a math teacher of 25 years who has been involved with eTwinning since 2006. It discusses tools she uses for teaching like Google Maps, Google Earth, Google Tour Builder, and GeoGebra. It provides examples of student activities and projects that can be done with these tools including creating maps, virtual field trips, and interactive math constructions. Hands-on instructions are given for students to collaboratively create maps, tours, and complete math tasks using the tools.
This document provides information about Małgorzata Garkowska, a math teacher with over 20 years of experience who has been involved with eTwinning since 2006. It then discusses several free online tools that can be used for educational purposes: Google My Maps for creating customized maps; Google Earth for virtual exploration of places; Google Tour Builder for creating geographic storytelling tours; and GeoGebra for interactive math learning. Instructions are provided on features and functions of each tool. The document concludes with directions for partners to work together using the hands-on tasks of creating maps and tours with Google tools, and constructing geometric shapes and graphs with GeoGebra.
The European Commission has selected the 2012-1-ES1-COM06-52752 project "Why Maths?" as a "success story" based on its impact, contribution to policy-making, innovative results, and creative approach. As a result of this selection, the project will receive increased visibility on Commission websites and social media, and at conferences. The project coordinator may also be contacted by ECORYS, the Commission's contractor for disseminating and exploiting project results, to provide additional materials about the project. The selection recognizes the commitment, enthusiasm, and high-quality work of the project partners.
1) Se presentan ecuaciones diferenciales ordinarias que involucran funciones trigonométricas como seno, coseno y sus derivadas.
2) Se resuelven las ecuaciones aplicando técnicas como separación de variables y sustitución de funciones.
3) Se obtienen expresiones para las funciones desconocidas en términos de constantes.
1) Se presentan ecuaciones diferenciales ordinarias que involucran funciones trigonométricas como seno, coseno y sus derivadas.
2) Se resuelven las ecuaciones aplicando propiedades de las funciones trigonométricas y técnicas de resolución de ecuaciones diferenciales.
3) Se obtienen las soluciones en función de constantes arbitrarias y el intervalo de definición indicado para cada una.
THIS BROCHURE WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA
COM
3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
Maths in Art and Architecture Why Maths? Comenius projectGosia Garkowska
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS ( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
This document contains trivia questions and answers about mathematics, art, geography, and astronomy related to the Comenius project involving schools from Portugal, Spain, Italy, Belgium, Poland, and Ireland. There are over 100 multiple choice and short answer questions covering topics like the capital cities and populations of the countries involved, famous artists and their use of mathematical concepts in works of art, properties of planets and galaxies, and principles of map making and geography.
Maths and Astronomy Why Maths Comenius projectGosia Garkowska
This document discusses various topics related to math and astronomy. It begins by introducing distance units used in space like astronomical units (AU), light years, parsecs and larger multiples. It then discusses how to calculate acceleration due to gravity on different planets using Newton's law of universal gravitation. Next, it examines weight on other planets and how gravity differs based on planetary characteristics. The document concludes by calculating the orbital speeds of planets around the sun.
The document provides information and examples about calculating density in chemistry. It defines density as the mass of a substance divided by its volume. Several examples are given of how to calculate density using the mass, volume, and known density of different substances like silver, ethanol, gasoline, ice, and lithium. The last example calculates the mass of air in a room given its dimensions and the known density of air.
This document contains questions and answers from a Polish trivia pursuit game covering various topics including school, countries and languages, art and math, geography and astronomy, general math knowledge and formulas, math and logic, and math and sciences. There are over 100 total questions on these topics testing knowledge of subjects like Polish schools, languages, tessellations, geography, astronomy, algebra, fractions, physics, and chemistry formulas.
The document defines various mathematical terms across several categories:
- Numbers: definitions for composite number, prime number, whole number, even/odd numbers
- Operations: definitions for addition, subtraction, multiplication, division
- Fractions: definitions for numerator, denominator, proper/improper fractions
- Other concepts: definitions for factors, terms, polynomials, variables, expressions, equations
The document provides concise explanations and examples for many common mathematical terms.
The document defines and explains various mathematical terms related to numbers, operations, geometry, measurement, algebra and graphs. It provides definitions for whole numbers, prime numbers, factors, place value, operations like addition and subtraction. It also defines geometric terms like angles, lines, polygons, triangles, quadrilaterals and 3D shapes. Algebraic concepts like terms, expressions, equations and scientific notation are also defined. Measurement units and types of graphs are summarized as well.
The document provides instructions for constructing the Golden Section using GeoGebra. The steps include creating line segments, finding midpoints and intersections, drawing circles with given centers and radii, measuring distances between segments, and noting that moving points A and B changes the ratio between those distances in a consistent way.
1) Se presentan ecuaciones diferenciales ordinarias que involucran funciones trigonométricas como seno, coseno y sus derivadas.
2) Se resuelven las ecuaciones aplicando técnicas como separación de variables y sustitución de funciones.
3) Se obtienen expresiones para las funciones desconocidas en términos de constantes.
1) Se presentan ecuaciones diferenciales ordinarias que involucran funciones trigonométricas como seno, coseno y sus derivadas.
2) Se resuelven las ecuaciones aplicando propiedades de las funciones trigonométricas y técnicas de resolución de ecuaciones diferenciales.
3) Se obtienen las soluciones en función de constantes arbitrarias y el intervalo de definición indicado para cada una.
THIS BROCHURE WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA
COM
3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS
( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
Maths in Art and Architecture Why Maths? Comenius projectGosia Garkowska
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS ( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
This document contains trivia questions and answers about mathematics, art, geography, and astronomy related to the Comenius project involving schools from Portugal, Spain, Italy, Belgium, Poland, and Ireland. There are over 100 multiple choice and short answer questions covering topics like the capital cities and populations of the countries involved, famous artists and their use of mathematical concepts in works of art, properties of planets and galaxies, and principles of map making and geography.
Maths and Astronomy Why Maths Comenius projectGosia Garkowska
This document discusses various topics related to math and astronomy. It begins by introducing distance units used in space like astronomical units (AU), light years, parsecs and larger multiples. It then discusses how to calculate acceleration due to gravity on different planets using Newton's law of universal gravitation. Next, it examines weight on other planets and how gravity differs based on planetary characteristics. The document concludes by calculating the orbital speeds of planets around the sun.
The document provides information and examples about calculating density in chemistry. It defines density as the mass of a substance divided by its volume. Several examples are given of how to calculate density using the mass, volume, and known density of different substances like silver, ethanol, gasoline, ice, and lithium. The last example calculates the mass of air in a room given its dimensions and the known density of air.
This document contains questions and answers from a Polish trivia pursuit game covering various topics including school, countries and languages, art and math, geography and astronomy, general math knowledge and formulas, math and logic, and math and sciences. There are over 100 total questions on these topics testing knowledge of subjects like Polish schools, languages, tessellations, geography, astronomy, algebra, fractions, physics, and chemistry formulas.
The document defines various mathematical terms across several categories:
- Numbers: definitions for composite number, prime number, whole number, even/odd numbers
- Operations: definitions for addition, subtraction, multiplication, division
- Fractions: definitions for numerator, denominator, proper/improper fractions
- Other concepts: definitions for factors, terms, polynomials, variables, expressions, equations
The document provides concise explanations and examples for many common mathematical terms.
The document defines and explains various mathematical terms related to numbers, operations, geometry, measurement, algebra and graphs. It provides definitions for whole numbers, prime numbers, factors, place value, operations like addition and subtraction. It also defines geometric terms like angles, lines, polygons, triangles, quadrilaterals and 3D shapes. Algebraic concepts like terms, expressions, equations and scientific notation are also defined. Measurement units and types of graphs are summarized as well.
The document provides instructions for constructing the Golden Section using GeoGebra. The steps include creating line segments, finding midpoints and intersections, drawing circles with given centers and radii, measuring distances between segments, and noting that moving points A and B changes the ratio between those distances in a consistent way.
2. 1. Ogłaszamy konkurs na najbardziej pomysłowe
logo projektu
STEAM like Leonardo
w ramach programu Erasmus+.
Zadanie polega na wykonaniu znaku graficznego
projektu.
2. Konkurs adresowany jest do uczniów klas
TRZECICH gimnazjum. Jego celem jest promocja
i wybranie logo najlepiej oddającego
założenia projektu.
ScienceTechnologyEngineeringArtMathematis
3. 3. Znak może zawierać flagi państw partnerskich
(Belgii, Hiszpanii, Polski, Rumunii i Włoch)
4. Może zawierać napisz STEAM like Leonardo
5. Praca musi być zapisana cyfrowo
w formatach: bmp , jpg. Może być wykonana w
programie graficznym na komputerze lub
wykonana odręcznie, ale zeskanowana
i poprawiona cyfrowo.
4. 6. Każdy uczestnik może przedstawić wyłącznie
jedną pracę.
7. Konkurs zostanie przeprowadzony
w dwóch etapach: szkolnym
i międzynarodowym.
8. Wśród zwycięzców etapu szkolnego zostanie
wybranych 5 prac, które zostaną
przedstawione do konkursu
międzynarodowego.
5. 9. Data ostateczna dostarczenia prac do szkolnej
komisji 8 października 2018
10. Data ogłoszenia wyników przez komisję
szkolną: 12 października 2018 r.
11. 5 najlepszych projektów loga zostanie
zaprezentowanych partnerom zagranicznym na
najbliższym spotkaniu projektowym w
październiku w Hiszpanii i wezmie udział w
międzynarodowym etapie konkursu.
12. Zwycięzca etapu szkolnego konkursu otrzyma
dodatkowe punkty przy rekrutacji do
wyjazdu do Hiszpanii w marcu 2019r.