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20. Exponential function, chess legend and Indian paratha 🇮🇳

admin — Mon, 17 Apr 2023 12:38:15 +0000

Chess is a very popular game that originated in India, and the word chess itself means king. Legend has it that Indian chess wanted to reward the man who invented chess, but a mathematical problem arose there. Namely, the man asked the chessman to put one grain of grain on the first square, two on the second square, four on the third, eight on the fourth, and then 16, 32, 64 and so on, so that the 64th square should be placed
eighteen quadrillion
four hundred and forty six trillion
seven hundred and forty four trillion
seventy three billion
seven hundred and nine million
five hundred and fifty one thousand six hundred and fifteen
18 446 744 073 709 551 615,
that is, 2⁶⁴ grains of grain. A large number is obtained due to rapid exponential growth. That quantity of grain is so great that not all the grain in India, or even much beyond that, would meet that demand. There would be virtually no grain left for India to use to make flour for many different dishes. One of the most popular is paratha, a thin bread made from wheat flour, salt, water, oil and served with pickles, curry, eggs or meat.

Exponential function, chess legend and Indian paratha (lesson plan)

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19. Austrian saher cake and fraction 🇦🇹

admin — Mon, 17 Apr 2023 12:37:07 +0000

Imagine celebrating your birthday in Austria. You would surely serve Zaher cake to your guests. Sachertorte is one of the most popular Austrian chocolate treats. They usually make it in a round shape, so it is very easy to share with guests. And when we are talking about dividing the whole cake, fractions appear. How much is one half and one quarter of a cake? It is not difficult to conclude that it is three quarters of the cake. However, if we want to know how much 1/8 and 5/6 of a cake is, we need to think a little. To answer that question, we need to know how fractions are added. In this case, in order to add these fractions, it is necessary to reduce them to a common denominator, which is actually the lowest common factor of the numbers 6 and 8, which is 24. Therefore, we add 3/24 and 20/24 and get the result 23/24, that is, 23/24 cakes. If the guests at the birthday party ate 23/24 of the cake, then at the end of the celebration, 1/24 of the cake remained, i.e. one small piece of cake.

Austrian saher cake and fraction (lesson plan)

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18. German gingerbread and 3D printing 🇩🇪

admin — Mon, 17 Apr 2023 12:35:38 +0000

Gingerbread, not too sweet, extremely tasty and pleasant aromas, neither too soft nor too hard, fresh and very popular in Germany. There are many recipes for gingerbread, but the possibilities for shapes are even greater and practically left to your imagination, and thanks to models that you can create and print yourself with the help of 3D printing. In order to get from an idea to a model, it is necessary to apply modeling techniques and prepare files for 3D printing. The first step is to create a virtual model, then the model is saved as an stl file and fed into the 3D printing preparation software. Then all this is transferred on the card to the printer and the printer can start working. Depending on the model, printing can take longer or longer, and after the process is complete, you have a model that you have created yourself and is ready to shape gingerbread.

German gingerbread and 3D printing (lesson plan)

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17. Volume of the Japanese rice box 🇯🇵

admin — Mon, 17 Apr 2023 14:34:07 +0000

This is a box that the Japanese call “masu” and it is also made by folding paper, i.e. the origami technique. It is easily folded in just a few steps starting with a square shaped paper page that we can label with a. These boxes are traditionally used to measure and store rice. And if we pack rice, it is important for us to fit as much rice as possible in the box. Let’s then determine the height of the box for which the volume is maximum. To get an idea, let’s look at the box in the virtual world with the help of Geogebra. Look, this box of ours is actually a geometric body, which corresponds to a prism. It is known that the prism width is calculated as the product of the surface of the base and the height of the prism (V=BH, where B is the surface of the base of the prism and H is the height of the prism). In that case, the volume of our box can be described as V(H) =a²H-4aH²+4H³, because its base is a-2H, and its height is H. To determine the height for which it has the largest volume, we need to remember calculus. We know that the maximum of a function is determined with the help of the first derivative. Having that in mind, the height of the box for which the volume is maximum is one-sixth of the side of the paper square from which it is composed. Now that we know for which height the volume of the box is the largest, and we need that important when we pack the rice from the beginning of the story that is slowly steamed and prepared for serving.

Volume of the Japanese rice box (lesson plan)

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16. English tea and cyclic compounds 🇬🇧

admin — Mon, 17 Apr 2023 12:32:54 +0000

This drink was adored by the emperors, it was drunk by the nobles, but also by the common people. And because of tea, there was also a rebellion known as the “Boston Tea Party” in Boston. The history of tea is as rich as its taste. As for its chemical composition, there are also various chemical compounds, such as cyclic compounds. The main ingredients of tea are purine alkaloids – heterocyclic compounds, such as caffeine, theophylline and theobromine, tannins – polyphenols and simpler phenolic compounds such as catechin and its derivatives. Unlike caffeine in coffee, caffeine from tea breaks down slowly in the body, so that a person remains awake and focused, but not irritated. That’s why tea is an excellent drink for both mental and physical activity. Tannins are most responsible for the sharp and bitter taste, as well as the strength of the tea. The best types of tea have the most tannins. The aroma of tea comes from the aromatic resinous essential oil that occurs during fermentation. And don’t forget, if you’re in England, with some milk, to experience the taste of traditional tea drinking at exactly five o’clock.

English tea and cyclic compounds (lesson plan)

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15. Vanilla – aroma queen from Madagascar 🇲🇬

admin — Mon, 17 Apr 2023 12:31:02 +0000

Today, Madagascar is the largest producer and exporter of vanilla, which is one of the most expensive, popular and beloved spices in the world. The most important components of vanilla are phenolic heterosides, vanillin glucosides (vanilloside) and vanillin alcohol (vanilloside). Aldehyde-vanillin is released from the heteroside during the fermentation of the fruit and it is the main ingredient responsible for the characteristic smell and aroma. The addition of vanilla gives dishes a delicate, unforgettable aroma, and sweet, velvety and aromatic vanilla promotes a sense of joy and has a relaxing and soothing effect, removes tension, suppresses negative thoughts, awakens creativity and optimism. In the summer heat, vanilla ice cream is especially pleasant.

Vanilla – aroma queen from Madagascar (lesson plan)

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14. B vitamins and the Philippines 🇵🇭

admin — Mon, 17 Apr 2023 12:29:04 +0000

Rice is a plant with small grain, but with great possibilities, food with a very long history and the most important food culture in the world. A Filipino proverb says: “Be like a rice plant, the more grains it produces, the lower it bows.” Rice contains B-complex vitamins. B-complex vitamins participate in chemical reactions such as the transfer of electrons and chemical groups. Vitamin B1 participates in CO2 elimination reactions from the body, vitamins B2 and B3 in redox reactions, vitamin B5 in the transfer of acyl groups with one c-atom, and vitamin B6 plays a role in the metabolism of amino acids. Vitamin deficiency can lead to disease, and to ensure needed vitamin B intake, let’s go back to the Philippines and a delicacy called Filipino rice cake.It is made from rice, coconut milk, sugar with a little salt and vanilla extract.

B vitamins and the Philippines (lesson plan)

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13. Sweet measuring of the mass 🇮🇷

admin — Mon, 17 Apr 2023 14:26:41 +0000

Mass is the basic characteristic and measure of the body’s inertia. The mass depends on what kind of acceleration the body will get, how and what the density of the body is. The instrument for measuring mass is called a scale, and the scale can be mechanical, electronic or digital. The basic international unit of mass is the kilogram, and the smaller units are the gram and milligram, while the larger unit is the ton. It is very important that we know how to measure body mass. And while some measurements are very demanding and complex, some are simple and very sweet. For example, the famous Iranian cake sohan has charmed the planet because of its taste. To make this cake, you need to accurately measure 110 grams of ground almonds and 160 grams of sugar, as well as 110 grams of pistachios for decoration. Measure carefully to make the cake.

Sweet measuring of the mass (lesson plan)

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12. Energy of Serbian salad 🇷🇸

admin — Mon, 17 Apr 2023 14:25:12 +0000

We cannot destroy or create energy in nature, it can be changed its form or transfer to another body – which is what the law of conservation of mass is about. Everything we eat and drink gives our body the energy it needs to function properly. That’s why we need to balance our diet and activities in order to make the best use of that energy. Calorie counting is a very popular method for controlling food intake, but it is also the subject of many debates as to whether it is good or not. A calorie is a unit of energy that we get from food or drinks, needed to be healthy, while counting calories is a method that monitors their daily intake through the food and drinks that we consume during the day. When you want to lose weight, you need to consume more calories than you consume, and when you want to gain weight, you need to consume more calories than you consume.

If you want to eat healthy, we suggest a Serbian salad made from tomatoes, fresh peppers, hot peppers, cucumbers, onions with a little salt and oil. There are 46.8 calories in 100 grams of Serbian salad. To burn those calories, you need to run for 4 minutes or swim for 6 minutes. We calculate these values based on knowledge from physics about potential and kinetic energy.

Energy of Serbian salad (lesson plan)

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11. Exact proportion for moussaka 🇸🇾

admin — Mon, 17 Apr 2023 12:23:47 +0000

Moussaka is a traditional eggplant or potato dish that is widespread in the Balkans and the Middle East. The famous Syrian Moussaka is made from eggplants stuffed with beef or mutton with tomato sauce, egg, flour and yogurt dressing, and finally baked. The recipe is usually made for four or six people. In order to prepare moussaka for twice the number of people or for half the number of people than planned, we calculate the amount of required ingredients using direct proportions. Two quantities are directly proportional, if the quotient of the corresponding (positive) values of the two dependent quantities is constant. Applying our knowledge of mathematics, we can even calculate the amount of ingredients needed to make moussaka for 35 people.

Exact proportion for moussaka (lesson plan)

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