The document discusses patterns that can be found in Pascal's triangle. It notes that Pascal himself remarked on the fertility of properties to be found in the triangle. It provides two examples of patterns, where multiples of 5 and 7 are picked out in the triangle. The reader is also prompted to explore if the coefficients of trinomial expansion can be represented in a pattern.
This document discusses Pascal's triangle and its relationship to the Fibonacci sequence. It explains that Pascal's triangle is an ancient mathematical pattern where each number is the sum of the two numbers above it. The diagonals of the triangle relate to important numerical sequences like the counting numbers, triangular numbers, and the Fibonacci sequence. The document also outlines various properties of Pascal's triangle, such as the horizontal rows summing to powers of two and representing powers of eleven. It provides examples of how Pascal's triangle can be used to solve probability and binomial expansion problems.
The document discusses patterns that can be found in Pascal's triangle. It notes that Pascal himself remarked on the fertility of properties to be found in the triangle. It provides two examples of patterns, where multiples of 5 and 7 are picked out in the triangle. The reader is also prompted to explore if the coefficients of trinomial expansion can be represented in a pattern.
This document discusses Pascal's triangle and its relationship to the Fibonacci sequence. It explains that Pascal's triangle is an ancient mathematical pattern where each number is the sum of the two numbers above it. The diagonals of the triangle relate to important numerical sequences like the counting numbers, triangular numbers, and the Fibonacci sequence. The document also outlines various properties of Pascal's triangle, such as the horizontal rows summing to powers of two and representing powers of eleven. It provides examples of how Pascal's triangle can be used to solve probability and binomial expansion problems.
Μια εκπαιδευτική παρουσίαση για τις χημικές ενώσεις που παράγονται στον οργανισμό μας όταν ερωτευόμαστε.
Παρουσιάστηκε στο 21ο Πανελλήνιο Συνέδριο Χημείας και στο 17ο Σεμινάριο Διδακτικής της Χημείας που διεξήχθηκαν στη Θεσσαλονίκη το Δεκέμβριο του 2011.
Ομορφη και κατανοητή παρουσίαση των βασικών ιδιοτήτων και φαινομένων του φωτός, απαραίτητη για ένα μαθητή που τελειώνει το Γυμνάσιο, από τον Φυσικό Καθηγητή κ. Γιώργο Παναγιωτακόπουλο.
This document discusses the post-impressionist painter Paul Gauguin. It notes that in 1891, seeking to escape European civilization, Gauguin sailed to French Polynesia, where he produced paintings influenced by the local culture and wrote a book describing his experiences, though modern critics allege parts were fictionalized.
Μια εκπαιδευτική παρουσίαση για τις χημικές ενώσεις που παράγονται στον οργανισμό μας όταν ερωτευόμαστε.
Παρουσιάστηκε στο 21ο Πανελλήνιο Συνέδριο Χημείας και στο 17ο Σεμινάριο Διδακτικής της Χημείας που διεξήχθηκαν στη Θεσσαλονίκη το Δεκέμβριο του 2011.
Ομορφη και κατανοητή παρουσίαση των βασικών ιδιοτήτων και φαινομένων του φωτός, απαραίτητη για ένα μαθητή που τελειώνει το Γυμνάσιο, από τον Φυσικό Καθηγητή κ. Γιώργο Παναγιωτακόπουλο.
This document discusses the post-impressionist painter Paul Gauguin. It notes that in 1891, seeking to escape European civilization, Gauguin sailed to French Polynesia, where he produced paintings influenced by the local culture and wrote a book describing his experiences, though modern critics allege parts were fictionalized.
The document appears to be a record of an English class project where students created and shared Christmas cards. It lists the teacher, Anastasia Paraskevoulakou, and names of students, presumably those who participated in the project. A link is provided to a Padlet page where the actual Christmas cards could be viewed. The project was carried out in 2016 for an eTwinning activity.
Kalamake- main character from the work- Magical Tales from the south Seas by R. L. Stevenson
Creative writing: from a sentence to a paragraph / 2015 2016
Yesterday, the merchant witnessed a street fight in Verona between the Montagues and the Capulets, two wealthy families who have been feuding for many years. The fight began between some servants from each family and soon others joined in. Luckily, the Prince of Verona arrived and was able to stop the fight before anyone was seriously hurt. The merchant plans to return home soon to escape the volatile situation between the two families in Verona.
Verona is a city in northern Italy located on the Adige River with over 265,000 inhabitants. It has a rich artistic heritage and is the setting for three of Shakespeare's plays, leading to its designation as a UNESCO World Heritage Site. The city has a long history, originally inhabited by the Euganei people before becoming a Roman colony in 89 BC. In the medieval era, Verona was dominated by its many towers and ruled by powerful families who expanded and beautified the city. Today, Verona is best known as the legendary location of the story of Romeo and Juliet, though the historical accuracy is uncertain.
Poetry is like many different things according to students in a junior high school English class. Some see it as breathing, a green leaf, a river, a bird, an intelligent mind, the galaxy, a drop of sweat, a lion, a delicate flower, a sea shell, stars, a diary, clouds, an open window, a boat, a book, wings, dreaming, words that are alive, a painting that speaks, a ticket, an opportunity to escape reality, the wind, and food. Overall, poetry takes many forms but profoundly impacts those who engage with it.
George is a man from Greece who wants to be wealthy and famous as the president of the USA, but lives in the wrong country. Maria is a dreamer who is happy in her imaginary world without problems. Elisabeth values family over money and wants a handsome romantic partner to start a family with. Andrew is a young handsome man seeking an elegant romantic partner who may be rich to have a family with. Helen wants an independent life traveling with a partner while money means little, and Cameron is wealthy, handsome and likes travel seeking a girlfriend also interested in traveling.
Tybalt confronts Romeo and says he will kill him in their fight. They fight and Romeo gains the advantage, hitting Tybalt with his sword. Tybalt is injured and says his family will destroy Romeo before dying. Romeo declares that he has become powerful again and will survive if Tybalt's family comes for him.
The Globe Theatre is a reconstruction of Shakespeare's original outdoor theatre, built near the site of the original. It seats 1400 compared to the original's 3000. Founded by Sam Wanamaker and opened in 1997, it stages Shakespeare's plays and has an indoor theatre. There is also an exhibition about Shakespeare and tours of the two theatres.
Set was the Egyptian god of storms and the desert who was jealous of his brother Osiris, the wise king. At a feast, Set tricked Osiris into getting into a box that was crafted to his exact size, then closed and locked the box, killing Osiris. Set then cut Osiris' body into pieces and scattered them in the river, becoming king of Egypt but soon facing punishment for his immoral actions against his brother.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
The document appears to be a record of an English class project where students created and shared Christmas cards. It lists the teacher, Anastasia Paraskevoulakou, and names of students, presumably those who participated in the project. A link is provided to a Padlet page where the actual Christmas cards created by the students can be viewed. The project was carried out in 2016 for an eTwinning activity.
1. Several students did not know that R. L. Stevenson was a writer and thought he had other professions like a football player, doctor, singer, teacher, mechanic, and astronaut.
2. One student summarizes Stevenson's most famous work, "Strange Case of Dr. Jekyll and Mr. Hyde" and details its film adaptations.
3. The students discuss their mistaken assumptions about Stevenson's profession through short stories and dialogues where they imagine him in careers like a king, sugar maker, artist, and cigar producer.
The document summarizes the results of a survey about how alike students are in various areas such as music, school subjects, movies, colors, hobbies, food, sports, appearance, seasons, travel destinations, personality traits, career interests, and views on eTwinning. It provides the percentages of students who chose each answer for 17 multiple choice questions. For example, it states that 59% of students preferred pop music while only 3% preferred country music. It transitions between the different topics covered in the survey through 5 speakers who discuss 2 questions each about the results.
This document provides an overview of Content and Language Integrated Learning (CLIL). It defines CLIL as a dual-focused educational approach where an additional language is used as the medium of instruction to teach content and language simultaneously. The document discusses the benefits of CLIL for learners, including increased motivation, cognitive development, and language skills. Some potential criticisms are also outlined, such as CLIL not always achieving content and language goals equally. The document concludes by describing the 4Cs Framework for planning CLIL lessons around the key elements of content, cognition, communication and culture.
The poem describes love as a complex emotion that is both terrible and gentle. It portrays love as having contradictory qualities, saying it is heavy and light, serious and foolish, hot and cold, sick and healthy, and a madness as well as a gentle wind. The poem represents love as having many facets and being difficult to define.
student-Juliets write a letter to their father letting him know about her marriage to Romeo
students lord-Capulets write a letter to their daughter Juliet , reacting to her marriage of Romeo
Lord Montague writes a letter to his niece Juliet, expressing his anger that she married Romeo, a member of the rival Montague family, who also killed her cousin Tybalt. He excludes Juliet from the family and threatens to kill her nurse and Friar Laurence, who married her and Romeo. Montague tells Juliet that if she wants to be accepted back into the family, she must kill Romeo and hang his body in the town square.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like depression and anxiety.
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