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A function is a relation beween two sets, called domain (A) and codomain (B), that associates to each element of A one and only one element of B.

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In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. So the function is continuous if the right limit is equal to the left one and if the limit is equal to there value of the function. In a graphic way, a function is continuous if we do not have to lift the pen from the paper.
To better understand, click on the following link. https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-11/v/continuity-at-a-point

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In mathematics, a function is said to be discontinuous if the limit from the right is different from the left one. In a graphic way, a function is discontinuous if we have to lift the pen from the paper. There are three types of discontinuity:
-REMOVABLE: only one of the one-sided limits exists.
-JUMP: both one-sided limits exist, but have different values.
-ASYMPTOTIC: both one-sided limitsare infinite.
To better understand, click on the following link.
https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities

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CLIL is an acronym for Content and Language Integrated Learning. It consists of teaching a curricular subject through the medium of a language other than that which is normally used. In CLIL courses, learners gain knowledge of the curriculum subject while simultaneously learning and using the foreign language. My class and me have undertaken the mathematics project of the continuity and discontinuity of functions. I have found this project very interesting because it's not a normal frontal lesson but it's an interactive lesson, in which each student participates personally giving his contributions and opinions. CLIL course helps you to develop your thinking skills with cognitive challenge and interactive group work tasks with even the use of electronic devices and educational games like Kahoot.

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A great method to learn math and even have fun doing it, is playing Kahoot! It's a game-based learning platform, used as educational technology in schools and other educational institutions. Its learning games, "Kahoots", are multiple-choice quizzes that allow user generation and can be accessed via a web browser.
I have found this method very exciting and stimulating, in fanct my team won the continuous and discontinuous function's challenge of Kahoot!

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I really appreciated this project because it wasn't a standard lesson but thanks to this course I tested my skills in the English language and I also learned a new great way to study math through the help of digital supports and interactive games. Thanks to this project I gained a lot of knowledge of math and above all I understood the topic of functions that had previously proved to be more difficult to me!