Why do we need math?

Posted by August 8, 2021

There are million-dollar rewards for solving some mathematical problems including to go math 1st grade. And yet they remain unsolved, no matter how hard the best minds fight over them. How does mathematical thought evolve-isn’t everything still proven? And why invest huge sums of money working on abstract problems? Let’s look into the complicated world of mathematics!

Tells the guest of the program “Question of Science”, candidate of physical and mathematical sciences, head of the laboratory of popularization and propaganda of mathematics at the Steklov Mathematical Institute of the Russian Academy of Sciences Nikolai Andreev.

Mathematics is a way to study our world
Mathematics including go math second grade studies our world in its maximum abstraction. Physicists are used to working with manifestations, but mathematicians work with abstraction: they look for those properties of our world purified from manifestations, which can then be studied and applied. There is a terrific article by our great mathematician Manin, entitled “Mathematics as a Language for Describing Possibilities. At the end of his article Yury Manin gives the example of a shaman, who didn’t decide what to do with the tribe, but gave advice to the leader of the tribe on the best way to proceed. Yuri concludes with the following words: “Mathematics describes the phase space of the real world, the space of possibilities. It studies the laws that determine possible trajectories in this phase space, as well as the conditions, the set of information that is required to choose a particular phase trajectory. So it basically tells society that if you do this, you will go this way; if you do that, you will evolve that way. And this is such a higher view of mathematics.

[The Russian mathematician] Alexei Nikolayevich Krylov compares mathematics to a workshop: mathematicians prepare all kinds of tools for various needs. And when mankind has to solve some problem, professors of mathematics – scientists-experts of these tools – give mankind the tool it needs to solve the next problem: sometimes a rough file, sometimes a fine file…

New fields are constantly emerging; mathematics expands a little, and from the new frontiers one can see further fields that can continue to be explored, which will then result in benefits for all of humanity. Here we can give a very simple example – the article “From Lobachevsky’s “crazy” geometry to GPS-navigators”. Here Lobachevsky invented his geometry. He died without even seeing a single working model. And of course, he could not think that later Riemannian geometry would be created. And later, on the basis of Riemannian geometry, Einstein would create his theories of relativity, special and general relativity. And now we, every day using a GPS navigator, use including the general and special theories of relativity. Because if we did not take into account the effects that they give, the error in determining the coordinates on the ground would be huge and the GPS would not be needed. The power of mathematics is that always one way or another these seemingly abstract studies then find their application to mankind.

Does the world only seem mathematical or is it a property of nature?
It is, of course, a property of nature. In general, all mathematicians are Platonists. There’s a little book called “Proof from the Book” – it’s about the fact that somewhere there are written proofs, and we humans can get close to them. And indeed, sometimes you take a proof, it can be very short, but it proves something very important. Actually, the book Proof from the Book itself begins with Euclid’s proof of the existence of an infinite number of prime numbers. A proof that has endured for centuries, and yet is really very beautiful, powerful, and interesting! And sometimes you look and see that there’s still something we don’t know and that’s why the proof is so complicated.

Mathematics dispels the fog – it explores what we haven’t yet explored in our world. It reveals the essence by formalizing and abstracting from something that is already attuned to that essence. And then it remains to apply the resulting laws either to the subject or to the task – it already depends on what humanity needs.

Mathematics Around Us
Let’s talk about those manifestations of mathematics in our surrounding world that everyone understands, and on the other hand, reveal a mathematical approach, a mathematical component.

For example, the cycloidal curve made it possible to create the first isochronous pendulum clock, in which the period of oscillation did not depend on the amplitude. These were the first clocks. Obviously, there’s a lot of math in engineering. Here at school, everyone went over the parabola. But there is an optical property of a parabola, namely, that rays of light passing parallel to the axis of the parabola, after being reflected from it, fall into focus. Parabolic dishes, satellite dishes that look at a satellite, work according to this principle. And here’s a clear, simple example that has to do with high school math.

Or let’s take colors. The way computers provide us with color, how it adds up, it’s all based on mathematics. Just recently we were celebrating the 50th anniversary of the moon landing, the moonwalker’s delivery to the moon. And in 1970, our Soviet lunar program began, and there was a device that we all know, which is a cataphot, an angle reflector. Three planes are mutually perpendicular to each other, and if you shine a beam on them, then after reflection from all three mirrors, the beam goes parallel to the direction from which it came. And it does not matter where you shine from, the beam will come back to you.

Exactly, so out of these little corners, mutually perpendicular to the three planes, make cataphot on a bicycle. And when you car headlights illuminate some cyclist, you see the glow from the cataphot, although there are no bulbs. But you have to be careful – those coming from the right and the left may not see the reflections from the cataphot because the light comes back to you. The same idea of reflection is used at stoplights when the road turns. The exact same cataphot, the same set of corner reflectors, was installed on the moonwalker. And so far, this ongoing experiment in laser locating of the moon allows us to measure the ever-changing distance to the moon to within a few centimeters, maybe even millimeters. And there are only three planes! There is a law in physics: “The angle of incidence equals the angle of reflection” and then comes the math.

Or here is, say, an example we pass by all the time: why are cups made in the shape of a cone? A piece of paper can be made into a cylinder or a cone, so why choose a cone? Because cups of this shape can be inserted into each other, while cylindrical buckets or cups could not be inserted, they would have to be transported separately. It’s the same thing we see when road services come in and set up cones. But a cone is a bendable surface, and just a tapered cup would have been inconvenient to use. It was necessary to give it rigidity. This requires a bagel surface – in mathematics it is called a “torus”. As it turned out, even a small piece of torus, which contains a circle, is a rigid surface. Being made of the same thin plastic, it is an inflexible surface. The question, “Which surfaces are bendable and which are not?” – was an important topic, and it is still an ongoing one for mathematicians. Of course, it wasn’t studied for the sake of cups. But once we learn a property, we can apply mathematical knowledge to different areas.

Proofs as the basis of mathematics
When you’re trying to solve a problem, you have to go through a lot of different options. And mathematics tells you right away that these are the options you can’t even consider. Rigor is the power of mathematics.

In fact, even within mathematics, the concept of proof has varied. In ancient India it was enough to draw a picture with a proof and write, “Look,” and they considered that a proof. It is clear that now such a proof is not even considered, well, only as an illustration. One of the big, important breakthroughs came in the time of Hilbert, who began to systematize proofs.

In 1900, the International Mathematical Congress heard Hilbert’s famous paper in which he posed his famous “Hilbert Problems,” which were very prestigious to solve. And it should be noted that more than half of those solved were solved by members of our institute. And here I will refer readers to an article by Lev Dmitrievich Beklemishev, our academician, it is interestingly called: “Mathematics and Logic.” Indeed, logic is sometimes called the basis of mathematics, because proof is the subject of the study of logic. A lot of things were born out of logic that, again, we don’t even realize are based on logic. For example, databases are one branch of this science. Linguistics also draws heavily on logic.

As we say goodbye, I want to take you back to your childhood. I take in my hands the book “The Mathematical Component”, where we collected all kinds of plots of manifestations of mathematics in our lives, and open it on the page “Arithmetic tricks”.

Guess a number. Have you guessed it?

Add five to it. Did you add it?

Now multiply the result by 2. Have you multiplied it?

Subtract the number you guessed from the result. Have you subtracted it?

Subtract the number again. How much did you get?

I’ll tell you: 10.

Mathematics actually simplifies the way we look at life. If you write down the formula for our trick, it looks very simple. And that makes the point very clear. If schoolchildren were reading us, I would tell them: if you put in a little effort now and learn math, it will be much easier to live later. When formulas were introduced instead of words in Viet’s time, everything became clear and transparent.

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How to get your child excited about math? 5 simple tips for preschoolers

Posted by July 16, 2021

Mathematics including subtraction by 5 is a science that really has a very important practical meaning in everyone’s life. We encounter it every day, going to the store or figuring out if the mirror will fit in the niche in the wall. We try to explain its necessity to our children, but these conversations rarely change their attitude toward the subject.

Then we say that our child is a humanitarian and does not understand mathematics. But this is the wrong approach. As a rule, dislike of the exact sciences appears in preschool age, when the baby is just beginning to touch the world of numbers and shapes. Here are 5 tips for parents of preschoolers who want to lay the foundation for successful learning before school.

1. Start with a simple including subtraction by 10

This is a very important rule of pedagogy. To learn something, you always need to start small, not rush straight to the solution of complex problems. Even at a very early age, start learning math by recognizing geometric shapes, finding logical connections, counting the objects around you and comparing their numbers, without being tied to specific numbers. Learn to compare objects by characteristics: high-low, large-small, wide-small, and so on. Move on to numbers and operations with them only when a child has mastered all these mathematical concepts.

2. Use emotions about subtraction facts

A small child needs positive emotions, so he enjoys doing something. You can make him do it from under the stick, but will it work? Classes in math in preschool should be based on a game activity, which is leading children under 7 years, so personal interest and interest can not be discounted.

3. Bring math into real life

Math is primarily an applied science, so it’s important to show your child with real-life examples of how it works in the world of not only adults, but children as well. For example, you go together to the store, and still at home you set a condition that the child can choose sweets or toys for a certain amount. You can not go beyond that limit, because then you will not have enough money. In this way you will not only draw your child’s attention to the fact that being able to count is very important, but you will also avoid unpleasant scenes at the cash desk. Tell your children how you use math in daily activities, give specific examples on events that happen in the family.

4. Create situations of success

Anyone, and especially a child, needs to see the results of their activities. If he or she constantly experiences failure, his or her attitude will very quickly become negative. For this purpose it is always necessary to organize the learning process according to the principle “from the easiest to the hardest”.

5. Don’t limit yourself to numbers

Math is not only about addition, subtraction and problem solving. A large layer is taken up by manipulation (real or mental) of geometric shapes, as well as logic. Without these components, you can’t succeed in science, so it’s important to remember to work in this direction.

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Kinaesthetic children. How to distinguish kinesthetic children and how to work with them?

Posted by June 8, 2021

By determining the leading channel of perception of information of a schoolchild, it is possible to greatly facilitate the process of learning. If we are talking about a preschooler or a primary or secondary school student, the conclusion about the predominance of one or another channel of information perception is made as a result of observation. The teenager or adult is offered to take special tests.

How to recognize a kinesthetic learner activities?

Behavioral features that “give away” a kinesthetic:

The child’s vocabulary is dominated by words describing feelings or movements (cold, touch, hard, grasp). There is a strong emphasis on inner experiences in conversation.
This baby simply adores pets. He is constantly touching them: stroking, carrying them in his arms.
He loves bodily and emotional comfort. Dressing him in a scratchy sweater is almost impossible.
During a dialogue, he does not look into the interlocutor’s eyes, but downward. At the same time, he makes a lot of movements and gestures and tries to get closer to him. He could even start twisting a button on the other person’s clothing.
During conversations, she constantly changes her posture. His favorite position is with his or her arms around himself or herself, and his or her legs are tucked or intertwined. Often slouches and walks with drooping shoulders.
Demonstrates a tendency to be silent. Sometimes such children seem shy and timid. This opinion is erroneous, just guys are lost against the background.
Often relies on his intuition, which is developed very well.
Such children find it difficult to concentrate. They are distracted on any occasion.
The child clearly remembers the general impression.
Memory is turned on during movement. The student, listening to the teacher, can not even look at him, but his fingers over a pen or pencil.
If you need to rewrite homework about present simple from the board, the child will rummage through his or her briefcase for a long time. He will most likely take out his textbooks and mark the necessary numbers directly in them.
His notebooks are unkempt: they are covered with stains and wrinkled. The desk is a mess, which the student navigates perfectly.
He uses recess to stretch and move around.
The schoolboy masters his body extremely well – he has excellent coordination of movements, he is flexible and agile. He has a strongly pronounced propensity for sports.
He has a tendency to manual labor.
Teachers have a hard time with such children. They call them “hyperactive”, “unlearnable”. A kinesthetic child who is forced to sit quietly will after a while start tapping his/her fingers or moving his/her feet or something like that. If the child is treated incorrectly, 90% of the teacher’s effort is wasted.

The problem of the wrong approach to a child, when their way of absorbing information is not taken into account, is quite profound. Specialists say that such children cannot be expected to solve a problem quickly or to immediately repeat the material they have heard.

For example, kinesthetic students take a long time to count on their fingers when their classmates have already begun to solve examples orally. This becomes a big problem for children. They try everything they can think of to hide their “failure”: they hide their hands under the desk, behind their backs, and tap their fingers on the table top. Children need a completely different attitude and patience from their teachers and loved ones.

According to some professionals, all children are kinesthetic. This point of view has a right to exist, because all children of preschool and primary school age are very mobile and emotional. Later in most children, the dominant channel changes to visual or auditory.

How to deal with kinesthetic children?
Children who experience the world in a tactile way find it difficult to absorb a lecture or a verbal explanation from the teacher. Teachers have to repeat the same thing many times, show illustrations. Shouting has no effect on such schoolchildren.

You should not rush and hang on the child a label “a failure student”. The teacher has to figure out how to work correctly with kinesthetic children.

Recommendations for working with kinesthetic children
It is very difficult for a child to sit still for a long time. It is necessary to give him or her motor release. He can go get some chalk, write adjectives that start with i on the board.
Two people will understand each other by speaking the same language. It’s the same with kinesthetics. They will be helped by gestures, by touch, by their typical slowness of thought operations.
Such students learn through memory. Exaggerations contribute to memorization.
The child will respond to the teacher’s remark if it is accompanied by a gentle touch on the shoulder.
Will better perceive the material that has been written down.
Practical activities (constructing, experimenting) are the most productive activities in the lesson.
Physical activity is important to the student. The more effort he puts in, the more successful he will be in other areas of life.
The kinesthetic learner acts, tests, and analyzes. He learns by memorizing algorithms. It is important for him to understand what this or that rule is for. What good is a theorem? How will it help in life? Working with kinesthetic children, you have to give them answers to these questions, to show them the practical use of the material they are learning.

Under no circumstances should other channels of perception be neglected. They should be involved to the maximum. It is important to have patience and explain all the same, and show them again and again. The effectiveness of the learning process directly depends on the number of open channels and the level of their development.

How should parents act?
A lot depends on the parents’ line of behavior. Failure to understand the child will lead to conflicts.

The child will cope with homework in a comfortable environment. If he is forced to read or learn a poem “as it should be”, after a while these activities will only cause hatred. Monotonous cramming of math will not work.

At home, you can not force a kinesthetic to sit still and do homework. He needs a break: let him put the kettle on, give something from another room, look out on the balcony. It is easier for him to remember the material this way: in portions, while he is moving.

It is difficult to study the exact sciences with a kinesthetic, but there is a way out. Let the child cut out as much as possible from paper: numbers, signs, unknowns, even formulas. If the student is holding something in his hands, it is easier for him to understand the subject at all.

Any images can be connected through associations. A paper appliqué will remind you of the material you have learned. The question “What did we learn when we cut out the car?” triggers the mechanism of associative thinking.

A kinesthetic will not learn a verse if he just sits and reads it. When he takes something to twirl in his hands, starts sculpting or drawing, the result will be quite different.

A child with a kinesthetic anchor channel is helpful:

Have a set of materials for different crafts, experiments, hands-on activities at home.
Read large encyclopedias where he will find many answers to his questions.
Watch educational films and shows.
Go to exhibitions, museums, go on excursions.
Kinestheticians find it difficult to cope with stress and discomfort. They are completely immersed in their experiences. It is important for parents to talk to their child more about their feelings, to find out the source of their anxiety.

As difficult as it may be with these children, they have one huge advantage. They are little people who are open to the world, interested in everything. They trust those around them, charging with positive emotions.

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10 tricky words that sound the same in Russian and English

Posted by May 12, 2021

What are cognates meaning? For an Englishman “store” does not mean a place to buy groceries, just as for an American a cartridge is not ammunition. If you meet and talk to a foreigner on a foreign vacation it is easy to understand each other exactly the opposite, even if it seems that you use the simplest words.

“Tones” collected 10 words that in Russian and English sound the same, but have different meanings.

Episode and Эпидод
In Russian the word “episode” means an excerpt or a single scene, not a completed work, whereas English episode means a full-fledged episode of a series. Recently, however, “episode” in the sense of “series” has also taken root in our country, primarily due to the popularity of soap operas.

2. Baton and Батон

In French, baton is a stick. In Russia, they adopted this word and, for some similarity of form, called so elongated bread. The English, in turn, borrowed the same baton, and so called not a rifled wheat bread, but… …a police truncheon. Or conductor’s stick.

3. Routine and Рутина

Routine for us is following a habitual pattern, something that is done mechanically. In England and the United States, a routine is a routine that has no hint of dullness. Example: My morning routine has to inspire me, which translates as “My morning routine should inspire me.

4. Caucasian and Кавказец
You do not need to be born in the Caucasus to hear caucasian in English-speaking countries, because this word can be used to refer to all people with European appearance. For example, this word can be mentioned in the application form if you want to indicate your ethnicity (for example, when making an appointment with the doctor).

5. Lunatic and Лунатик
Do not call your American friend a sleepwalker, even if he or she walks at night – he or she will take offense. It is better to offer him to read: The reason is that the English word lunatic is translated into Russian as “crazy, crazy person”. The word for person who sleepwalks is “sleepwalker” in English. A horror movie based on a script by Steven-who-knows-what’s-his-name will not lie.

6. Magazine and Магазин
Being abroad for the first time, the Russians may well say: “I’m going to the magazine. But they will understand it the wrong way round, because magazine in English means a magazine. If you want to go to a store, say store. Or shop.

7. Student and Студент
Even with such a seemingly simple word can be confusing, because English speakers use student not only for college or university students, but also for high school students. So don’t be surprised if you hear that an 8-year-old child is also a student.

8. Decade and Декада
This is a word that even translators get confused about. In both Russian and English, the term was borrowed from Greek, where deka means “ten.” The catch is that in Russia “decade” most often means ten days, whereas in English decade is always ten years.

9. Patron and Патрон
When you hear the English word patron, don’t rush to judgment: it does not refer to ammunition. In the USA or England, this word stands for a loyal customer or sponsor who is willing to support something financially. And in French, le patron is the boss or owner.

10. Expertise and Экспертиза
This term comes from Latin expertus (experienced), and in Russian it is the name of a process of expert evaluation or judgment. In English expertise is the name of the expert opinion itself. Example: He has considerable expertise in Russian history – “She has extensive knowledge of Russian history.

What other similar but different words have we forgotten? Write in the comments!

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How do I help my child learn? The best tips from the 2nd scoyo parents’ evening

Posted by April 12, 2021

The tutoring boom shows: Parents are getting nervous when it comes to their children’s success in school. Experts discussed how parents can escape the promotion mania and help their children learn in a meaningful way. Of course, the first thing to do is to study ccss 3rd grade ela.

Learning support tutoring: How can parents help their children learn?
Often there is too little support at school. This makes parents nervous.

In principle, learning support belongs in school. The experts at the 2nd scoyo parents’ evening on the topic of “Tutoring and support mania” on November 24, 2014 agreed on this. However, the current school system is overburdened with this task: Children are not being optimally supported, reforms are urgently needed. This makes parents nervous. They start comparing themselves and their children with others, try themselves as teachers, help with learning wherever possible, and end up resorting more and more often to tutoring. In Germany, around 1.1 million children are now receiving private tutoring – more and more of them as early as elementary school.

We asked experts Klaus Wenzel (President of the Bavarian Teachers’ Association), Béa Beste (education entrepreneur), Nicole Tschirner (blogger) and Christian Füller (journalist) how parents can help their children learn at home – and what they should do without. We have compiled the best tips for you here in short form:

How do I help my children learn besides learning
Tips from the parents’ evening at a glance:

  1. don’t try to establish a “learning relationship” at home, but be available as a contact person, give support, praise for the learning path, strengthen the back – this is how parents help best.
  2. do not exert pressure, not even in the case of bad grades. It is better to consider together where the (selective) deficits lie and, if necessary, get help for learning from outside. Emphasize that this can happen and that it is not a bad thing: “There is always a solution.

3) Avoid the concept of learning at home as much as possible, or give it a positive charge: play a lot, discover and experience – simply take time for your offspring.

  1. talk to other parents, join forces – both in terms of learning communities and in terms of demanding new solutions in the school system.

Before your child starts school or transfers to a secondary school, you should take a close look at the institutions you are considering: Does the school offer programs that cater to the individual needs of the child (remedial or remedial courses)? How committed and obliging are the teachers? In this way, you can make sure that the school itself provides sufficient support and reduce the likelihood that you will have to help your child learn every day.

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Posted by April 12, 2021

In linguistics, cognate meaning, also called lexical cognates, are words that have a common etymological origin. Cognates are often inherited from a shared parent language, but they may also involve borrowings from some other language. For example, the English words dish , disk and desk and the German word Tisch (“table”) are cognates because they all come from Latin discus , which relates to their flat surfaces. Cognates may have evolved similar, different or even opposite meanings, and although there are usually some similar sounds or letters in the words, they may appear to be dissimilar. Some words sound similar, but do not come from the same root; these are called false cognates, while some are truly cognate but differ in meaning; these are called false friends.

What is a cognate: characteristics

Cognates do not need to have the same meaning, which may have changed as the languages developed separately. For example English starve and Dutch sterven or German sterben (“to die”) all derive from the same Proto-Germanic root, *sterbaną (“die”). Discus is from Greek δίσκος (from the verb δικεῖν “to throw”). A later and separate English reflex of discus, probably through medieval Latin desca, is desk (see OED s.v. desk).

In addition, related words do not necessarily have to have similar forms: English father, French père and Armenian Armenian այր (hayr) all come directly from Proto-Indo-European * ph₂tḗr. The extreme case is Armenian երկու (erku) and English two, which are derived from Proto-Indo-European * dwóh₁ (note that the sound change * dw> erk in Armenian is common).

Words that are exactly the same:

minute (time)
route (road)

Similar words are as follows:


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5 Things You Should be Doing the Week Before the Big Test

The intensive SHSAT course runs for the first six or seven weeks
The intensive SHSAT course runs for the first six or seven weeks

You spend months preparing for the SAT or ACT. You take endless practice tests, expand your vocabulary, brush up on your math, and generally pour countless hours (often in a class or with a tutor) into getting ready for the test. The main idea reading passages of SAT 

With all that time and energy spent, you want to do everything you can the week before the test to make sure you’re firing on all cylinders on the big day. So here’s a list of things you can do the week before the test to make sure you’re ready to go as test day approaches.

1. Make sure you get enough sleep.

This one should be obvious, but it’s really easy to get caught up in everything you have going on at school — homework, activities, friends — and forget that one of the keys to success on these lengthy tests is being well-rested. Try to get at least seven hours a night the week leading up to the test; you should ideally get between eight and nine a night, which may require adjusting your sleep schedule and going to sleep a little earlier each night.

2. Eat well and stay active.

How you eat impacts how you feel, and exercise helps to improve both mood and focus. I wouldn’t expect anyone to suddenly develop perfect eating and exercise habits the week before the test, but try to put extra effort into whatever your particular versions of “eating well” and “being active” are the week leading up to the test. In particular, even if you don’t normally eat breakfast, make sure you have a healthy breakfast on the day of the test!

3. Make sure you know exactly where your testing center is and how to get there.

I cannot stress this one enough. I’ve had students miss tests because they couldn’t find the testing center. You should not only find it on Google Maps (or a similar service) the week before the test, but you should also actually figure out how you’re going to get there and, if it’s someplace you’ve never been before, make a trip there the previous weekend. Do this at the same time you expect to travel on the big day, bright and early in the morning, so you can gauge how long the trip will take, where you’ll be parking if you drive, and so forth. If you live in a major city and plan to take public transportation to get to the testing center, make sure to monitor any service announcements for the weekend of the test.

In short, make sure you know exactly where the test is, exactly how long it will take you to get there, and exactly how you’ll get there. Figure out the absolute most time the trip could take (barring emergency), then add about 15 minutes on top of that, so there’s no chance you’ll be late.

4. Study the right things.

People like to cram. And, honestly, for certain types of studying, cramming can be pretty useful. It’s a solid way to put simple information into your short term memory (and you’ll promptly forget it a few days later). So if you’re going to do any last minute studying — and if you’ve done a good job preparing for the test, you may not need to! —you want to pick the sorts of things that are susceptible to cramming. For the SAT, vocabulary, math formulas, and grammatical rules fit this list; the same is true for the ACT, except that there’s no real vocabulary to study. On this site there are many tests and study materials that will help you pass SHSAT –

That said, don’t feel like you have to cram. If you’ve been working hard to build your vocabulary and you’re confident you know your math formulas and grammatical rules, you can take it relatively easy the last few days leading up to the test. And under NO circumstances should you study the night before the test. Take that night easy, watch a movie, and get to bed early.

5. Put together a “Day of the Test Packet”.

You don’t want to be scrambling the morning of the test to get together everything you’ll need, so put together a “Day of the Test Packet” a few nights before. The packet should include:

  • Your admissions ticket: Bring a printed out copy.
  • Your student ID: or other photo ID.
  • Several number two pencils: You may also want to bring an eraser and sharpener. Remember, you should not use a mechanical pencil or a pen on the SAT or ACT.
  • A calculator with fresh batteries: Here is a current calculator policy for the SAT and for the ACT.
  • A watch: One that is easy to look at. Don’t use a calculator watch.
  • A healthy snack: You cannot eat or drink during the test, but you can during the breaks. Avoid snacks that are high in sugar, as sugar will give you a brief rush of energy followed by a period of sluggishness.
  • Warm up questions: For the SAT, you may want to bring a few simple questions to use to “warm up” while you’re waiting for the test to start. Alternately, some students prefer light reading material. The ACT specifically prohibits any outside reading materials or paper.

Make sure you’re aware of what items are currently prohibited for these tests; in general, any electronic device other than your calculator should not be brought to the test center. Note that cellphones are prohibited at SAT and ACT testing centers.

I have little doubt that students often bring cellphones to Testing Centers, but keep them turned off and out of sight the entire time they are at the Center. While I wouldn’t advise doing so — it strikes me as a completely unnecessary risk, especially as College Board and ACT grow ever more vigilant about the role electronic devices can play in helping students cheat — if you must bring a cellphone, be absolutely certain that it is turned off and that it remains out of sight the entire time you are at the Testing Center.

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What does SHSAT mean?

To see all meanings of SHSAT, please scroll down.
To see all meanings of SHSAT, please scroll down.

Are you looking for the meanings of SHSAT? On the following image, you can see major definitions of SHSAT. If you want, you can also download image file to print, or you can share it with your friend via Facebook, Twitter, Pinterest, Google, etc. To see all meanings of SHSAT, please scroll down. The full list of definitions is shown in the table below in alphabetical order. Shsat prep online free helps to learn all the material even at home.

Major Meanings of SHSAT

The following image presents the most commonly used meanings of SHSAT. You can down the image file in PNG format for offline use or send it to your friends by email. If you are a webmaster of non-commercial website, please feel free to publish the image of SHSAT definitions on your website.

All Definitions of SHSAT

As mentioned above, you will see all meanings of SHSAT in the following table. Please know that all definitions are listed in alphabetical order. You can click links on the right to see detailed information of each definition, including definitions in English and your local language. Shsat prep online free makes it possible to catch up with all the missed material and have time to prepare for the exam.

What does SHSAT stand for in text

In sum, SHSAT is an acronym or abbreviation word that is defined in simple language. From the table above, you can view all meanings of SHSAT: some are educational terms, the other are medical terms, and even computer terms. If you know of another definition of SHSAT, please contact us. We will include it during next update of our database.

Please be informed that some of our acronyms and their definitions are created by our visitors. Therefore, your suggestion of new acronyms is highly welcome! As a return, we have translated the acronym of SHSAT to Spanish, French, Chinese, Portuguese, Russian, etc. You can further scroll down and click the language menu to find meanings of SHSAT in other 42 languages.

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Go math grade 2

Go math grade 2 using the power of multimedia and a student-centered
Go math grade 2 using the power of multimedia and a student-centered

This Grade 2 Math course emphasizes base-ten notation, fluency with addition and subtraction, using standard units of measure, and describing and analyzing shapes. Upon completion of Acellus Grade 2 Math, students will be able to solve word problems; count on; add doubles and near doubles; make 10 and add a zero; change addends order; identify number patterns; add three numbers; count backwards; complete fact families; use addition to find differences; identify missing addends; identify the ones and tens place value; and write expanded form of numbers and number words to 100. Students will be able to convert to ordinal numbers; compare numbers using greater than, less than, or equal to; order numbers; round number to tens place; identify odd and even numbers; find patterns on hundreds chart; count by ten; add and subtract multiples of ten; regroup when adding and subtracting; record, add, and subtract two-digits; rewrite two-digit addition and subtraction; mentally add and subtract tens; estimate sums; and use a table. Students will also be able to use bar graphs, pictographs, and line plots;  count, add, subtract, and use money; tell time to five and fifteen minutes; count minutes before the hour; identify a.m. and p.m.; identify solid and plane figures; identify, extend, and create patterns; find a pattern’s missing piece; identity and extend patterns that grow; estimate and measure length in customer U.S. units and in metric units; and name fractions that describe various equal parts of a whole.

Finally, students will be able to identify ones, tens, and hundreds place value; add, subtract, estimate, compare, order, regroup, and write expanded form of three-digit numbers; count by fives and tens; add and subtract multiples of 100; skip count; and multiply. Math games for grade 2 help you develop logic as an interactive experience.

Scope and Sequence

Unit 1 – Addition Facts IIn this unit students review addition. They discuss adding and counting on, and real-life applications of counting on. They are introduced to doubles facts, and they review doubles and near doubles. They also practice sums of two and three.

Unit 2 – Addition Facts IIIn this unit students learn about making a ten and adding a zero. They also study changing the order of addends and real-world applications of math facts. They practice addition word problems, adding three numbers, and sums of two, three, and four.

Unit 3 – Subtraction FactsIn this unit students review subtraction. They practice subtraction word problems, counting back, counting back and forth, and sums of two, four, and five.

Unit 4 – Addition and Subtraction IIn this unit students learn about using part-part-whole diagrams for addition and for subtraction. They study using addition to find differences, and they are introduced to identifying missing addends. They explore real-life applications of finding missing parts, finding the difference, and finding the missing number. They also practice sums of three, four, five, six, and seven.

Unit 5 – Place Value IIn this unit students investigate tens and ones, and come to understand place value. The learn about the expanded form of numbers, and number words to 100. They practice sums of five, six, and eight.

Unit 6 – Exploring PatternsIn this unit students learn to compare numbers, learn about rounding to the nearest ten and about counting by tens, and learn what odd and even numbers are. They study number patterns on hundred charts and skip counting by ten from any number, and they practice sums of two, six, seven, eight, and nine.

Unit 7 – Two-digit Addition IIn this unit students discover two-digit addition. They learn to regroup when adding, and study modeling and recording two-digit addition. They practice two-digit addition, and learn about rewriting two-digit addition. They also practice sums of three, four, seven, eight, nine, and ten.

Unit 8 – Two-digit Addition IIIn this unit students explore mental math with addition of tens. They practice two-digit addition, learn to add three two-digit numbers and four two-digit numbers, and to count by twos. They explore real-life applications of adding three numbers, and practice more two-digit addition. They also practice sums of five, eight, nine, ten, eleven, and twelve.

Unit 9 – Two-digit Subtraction IIn this unit students learn to regroup when subtracting, as well as modeling and recording two-digit subtraction and counting by fives. They practice two-digit subtraction and sums of six, ten, eleven, twelve, and thirteen.

Unit 10 – Two-digit Subtraction IIIn this unit students practice two-digit subtraction and rewriting two-digit subtraction. They explore real-world applications of two-digit subtraction and learn to check subtraction using addition. They practice sums of seven, eleven, twelve, thirteen, and fourteen.

Unit 11 – Addition and Subtraction IIIn this unit students learn to do mental math by subtracting tens. They learn to count by tens and they practice two-digit addition and subtraction. They practice counting by twos and explore solving real-world situations, including two-step real-world situations. They practice sums of eight, twelve, thirteen, fourteen, and fifteen. After this unit students are presented with the Mid-Term Exam.

Unit 12 – Collect and Graph DataIn this unit students discover graphs. They learn to take a survey and practice counting by fives. They learn about bar graphs, pictographcs, and line plots, and they practice sums of two, nine, fifteen, and sixteen.

Unit 13 – MoneyIn this unit students explore money and learning to count it. They learn to count pennies, nickles, and dimes, and gain understanding of the value of dimes, nickles, and pennies, as well as half dollars and quarters. They discuss coins, and learn to count half dollars and quarters. They practice counting money and learn about dollars. They practice money word problems using cents and using dollars. They also practice sums of three, nine, ten, eleven, sixteen, and seventeen.

Unit 14 – TimeIn this unit students are introduced to telling time. They learn to tell time to 15 minutes, and then to 5 minutes. They practice telling time, and learn about time in a.m. and in p.m. They practice sums of four, twelve, seventeen, and nineteen.

Go math grade 2 using the power of multimedia and a student-centered
Go math grade 2 using the power of multimedia and a student-centered

Unit 15 – Geometry – Plane and Solid FiguresIn this unit students learn to identify plane figures. They gain understanding of the sides and vertices of plane figures, learn to combine plane figures, learn to separate plane figures, and learn about congruent plane figures. Next, students learn to identify solid figures. They examine the relationship between plane figures and solid figures. They practice sums of five, eleven, and eighteen.

2nd grade will be the first stage in the development of a new level of natural sciences.

Unit 16 – Exploring Length IIn this unit students investigate inches, feet, yards, and miles. They learn to estimate length using US Customary Units. Next, they explore centimeters and meters, and learn to estimate using the metric system. They practice sums of six, seven, eight, fourteen, and fifteen.

Unit 17 – Exploring Length IIIn this unit students are introduced to measuring tapes. They learn to find the difference between two lengths and they practice word problems about length. They explore real-life applications of length and line plots, and they are introduced to area. They practice sums of nine, sixteen, and seventeen.

Unit 18 – Exploring FractionsIn this unit students are introduced to fractions. They learn about one equal part, and about comparing fractions. They come to understand numerators, denominators, and fractions to describe one whole. They also practice sums of three, ten, eleven, and eighteen.

Unit 19 – Place Value IIIn this unit students discuss hundreds, as well as how ones, tens, and hundreds relate to each other. They learn to identify place value and study number words to 1000. They explore the expanded form of three-digit numbers, comparing three-digit numbers, and counting by fives and tens. They practice sums of four, five, six, twelve, thirteen, and fourteen.

Unit 20 – Three-Digit AdditionIn this unit students learn to skip-count by hundreds and to do mental math adding 100. They learn to regroup ones and tens in three-digit addition and they practice three-digit addition. They practice sums of seven, eight, fifteen, and sixteen.

Unit 21 – Three-Digit SubtractionIn this unit students gain understanding of using mental math for subtracting 100. They learn to regroup tens and hundreds in three-digit subtraction, and they practice three-digit addition and subtraction. They practice sums of nine, ten, and seventeen.

Go math grade 2 it can be quite difficult for all children to learn math, but everything will be much easier on this service.

Unit 22 – Introduction to MultiplicationIn this unit students learn to skip-count to find a total, and then learn how addition is related to multiplication. They learn to multiply using an array, and practice sums of fourteen and eighteen. After this unit, students are presented with the Final Exam.  

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Math games for second grade

Math games for second grade

It is possible to become Math games for second grade a student at a French university right after high school. But the difficulty is this: our graduates are usually 16-17 years old. And according to French law, if a student is not yet 18 years old, he needs a guardian – a French citizen and a resident of the city where you want to study. It is difficult to find such a person. Therefore, it is easier first to enroll in our university and while studying in the 1st year prepare documents for admission to France. In this case you can provide the results of your first session, to which the French have more confidence than the grades in the school diploma.

Even easier and, incidentally, cheaper – to study at home for four or five years, get a bachelor’s or specialist diploma (depending on which system of the university or institute), and with it go to the French for a year, a diploma of master. You will already be able to boast a full academic certificate, with it you have a much better chance of being enrolled.

Three types of institutions of higher education

Universities will only ask you for a set of documents, there are no exams. Russian students are most numerous here, because studying at universities is almost free. They are subsidized by the state: about 12 thousand euros a year for each student. So you only need to pay 200 – 300 euros per year as a registration fee. The most severe selection is waiting for the 1st year – 70% of them drop out before the end of the year for failure!

Higher schools (they have less specialties) have entrance exams, you have to go to France and take the exams. The competition is very high, but also the diploma in some fields is more prestigious than the university one. In general, education in high schools is paid, about 6 – 10 thousand euros per year. There are also public schools where people study for free or apply the so-called progressive principle: the richer a family – the more money they take from the student, the poorer – the less. The most expensive – MBA programs in business schools, 20 – 25 thousand euros a year or even higher.

Specialized schools (e.g. art or architecture) also accept students on a competitive basis, including creative. You have to pay for your studies.

What documents are needed

Math games for second grade

In the “candidate’s file” must be a copy of diploma or certificate with a notarized translation. If you do not have a diploma – an extract from the academic department. And a motivation letter in French. The meaning of it – to explain to the admissions office, why you need to learn in this particular institution is in this department. Each university may have special requirements, so the exact list of documents is available on the website of the university or institution of higher education.

Language requirements

Good knowledge of French is necessary to confirm the certificates (TCF or TEF) or diploma DALF. They are taken in Moscow, in the French Cultural Center (1, Nikoloyamskaya street, www., in other regions – in Allianc Frances offices, and TEF – in many commercial centers. Certificates are valid for one or two years, the diploma is valid for life.

French universities want to attract foreign students, and now there are more and more programs in English. But this concerns first of all postgraduate education, but there are already higher schools where they are ready to teach even clean past tense first-year students in English.

Who and where they give scholarships and grants

The French government also offers many different scholarships for Russian students:

Study scholarships for professionals with higher education or final year students who want to get a master’s degree in France;

The Eiffel Scholarship Program (in economics, management, engineering, law, and political science);

Copernicus program for young economists and engineers;

scholarships from 2 weeks to 6 months for students and specialists with higher education – in any of the disciplines taught in France.

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