Many applicants are concerned about how to independently get the knowledge necessary for the successful delivery of tests before admission. In 2017, they often refer to the Internet to find a solution. Solutions There are many, on truly standing stands for a very long time to search. Fortunately, there are well-known and proven systems. One of them - I will decide the exam Dmitry Gushchina.

The Dmitry Gushchina training system called "RTUM EGE" implies a comprehensive preparation for the upcoming exam. Dmitry Gushchin created tried to give free necessary knowledge In order for the future generation to successfully pass the exams. The system is calculated on independent study items. I will solve the exam is based on a uniform presentation of information, which is consistently, the topic is stacked in the student's brain.

EGE-2017 in mathematics, basic level

Dmitry Gushchin undertakes to help with such exams as an OGE and EGE using a very common technique. It lies in the fact that all new knowledge is served and systematized by themes. The student can easily choose what he needs to be repeated for the final consolidation of the material.

Tasks are available on the basic and profile levels. A vivid example of such tasks is mathematics. The main (basic) level covers the common knowledge of knowledge. It requires those knowledge that each student receives in 11 years. The profile level is designed for graduates of specialized schools with a slope for a specific subject.

An interesting feature of the system is its similarity with the real exam. In the case of the final control task, the EGE format is submitted. The student can also find out his final score after testing. It helps motivate a person to achieve new goals and to the study of a new material. The awareness of your real chances on the exam helps to get together with thoughts and understand what exactly needs to be learned.

The most popular items in the "Dem HEE" are provided along with others. Russian Dmitry Gushchina includes the rules of grammar, punctuation and syntax, as well as vocabulary. Chemistry contains examples of solving specific tasks, special formulas. Also, the Chemistry section includes various compounds and concepts about chemicals. The Biology section covers the vital activity of all the kingdoms of living organisms. There is an important theory, which eventually helps you successfully pass the exam.

The next feature is that your progress is fixed, and you can track your progress. Such an approach will help you motivate yourself even in cases where you don't want to study anymore. It always makes your own result.

The system also has criteria for evaluating work. They will prepare for the exam planned and thoughtful. Future student Always be able to read them and understand what the examiner will pay attention to. This is important in order to pay attention to the individual important aspects of the work. In general, the student is fully aware of the importance of its choice and remembers the criteria for estimation.

Secondary education

Line Ukk G. K. Moravina. Algebra and start mathematical analysis (10-11) (coal.)

Merzlyak Line. Algebra and start analysis (10-11) (y)

Mathematics

Preparation for the exam in mathematics (profile level): tasks, solutions and explanations

Examination paper profile level It lasts 3 hours 55 minutes (235 minutes).

Minimum threshold - 27 points.

The examination work consists of two parts that differ in content, complexity and number of tasks.

The defining feature of each part of the work is the form of tasks:

• part 1 contains 8 tasks (tasks 1-8) with a brief answer in the form of an integer or ultimate decimal fractions;
• part 2 contains 4 tasks (tasks 9-12) with a brief response as an integer or final decimal fraction and 7 tasks (Tasks 13-19) with a detailed answer (full record of the solution with the justification of the actions performed).

Panova Svetlana Anatolyevna, teacher of mathematics of the highest category of school, work experience 20 years:

"In order to get a school certificate, a graduate must be handed over two mandatory exams in uniform, one of which mathematics. In accordance with the concept of the development of mathematical education in Russian Federation Ege in mathematics is divided into two levels: basic and profile. Today we will look at the options for the profile level. "

Task number 1. - checks from the participants of the exam skill the skills obtained in the course 5 - 9 classes on elementary mathematics in practical activity. The participant must own computing skills, be able to work with rational numbers, To be able to round the decimal fractions, be able to translate some units of measurement to others.

Example 1. In the apartment where Peter lives, installed a consumption accounting device cold water (counter). On May 1, the counter showed the flow rate of 172 cubic meters. m of water, and on the first of June - 177 cubic meters. What the amount should pay Peter for cold water for May if the price is 1 cube. C cold water is 34 rubles 17 kopecks? Give the answer in rubles.

Decision:

1) We find the amount of water spent per month:

177 - 172 \u003d 5 (cubic meters)

2) We will find how much money will be paid for the spent water:

34.17 · 5 \u003d 170.85 (rub)

Answer: 170,85.

Task number 2.- There is one of the simplest tasks of the exam. It successfully copes the majority of graduates, which indicates the ownership of the concept of function. Type of task number 2 for the requirements codifier is a task to use acquired knowledge and skills in practical activity and everyday life. Task number 2 consists of a description using the functions of various actual dependencies between the values \u200b\u200band the interpretation of their graphs. Task number 2 checks the ability to extract information presented in tables in charts, charts. Graduates need to be able to determine the value of the function by the value of the argument when various methods Setting function and describe the behavior and properties of the function according to its schedule. It is also necessary to be able to find the largest function on the schedule or the smallest value and build graphs of studied functions. Allowed errors are random in reading the terms of the task, reading the chart.

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Example 2. The figure shows a change in the stock exchange value of one promotion of the mining company in the first half of April 2017. On April 7, a businessman acquired 1000 shares of this company. On April 10, he sold three quarters of purchased shares, and on April 13 sold all the remaining. How many businessman lost as a result of these operations?

Decision:

2) 1000 · 3/4 \u003d 750 (shares) - are 3/4 of all purchased shares.

6) 247500 + 77500 \u003d 325000 (rub) - the businessman received after the sale of 1000 shares.

7) 340000 - 325000 \u003d 15000 (rub) - Lost businessman as a result of all operations.

There is less than three months before the exam. Teacher Dmitry Gushchin ("Decisional Ege") - on how to prepare for the exam in mathematics in 2019.

Dmitry Dmitrievich Guschin, Petersburg teacher, graduate of the Physical Faculty of St. Petersburg State University. Teacher of mathematics, physics, informatics, has taught many years in the universities of St. Petersburg. Honorary Worker of Education of the Russian Federation, the absolute winner of the Competition "Teacher of the Year of Russia-2007", two-time winner of the competition of the best teachers of the Ministry of Education and Science of the Russian Federation. Author of books and articles in mathematics and methods of her teaching. Member of the Federal Commission for the Development of Measuring Materials for the Exe Mathematics (2009-2010); Federal Expert, Expert of the Appeals Commission (2011-2018). The author of books and articles on the method of teaching mathematics. Creator and editor-in-chief of popular Internet portals for preparing for state exams "Decima EGE" and "Rush OGE".

Good news: "The main thing is not to get a two!"

Good news for graduates: the exam on basic mathematics is the only one of the exam, which is not competitive. There are no scores on it on it. And universities do not take it into account, calculating the rating of applicants. For the exam put ordinary school fives, the fours, the top three, which, however, do not even affect the assessments in the certificate (there will be marked in May before the examinations). It is only important not to get a twice, otherwise, instead of a presentation of the certificate, it will prescribe a re-exchange, and in the case of a repeated failure, it will be necessary to reassemble in September.

From the good: all types of tasks that will meet on the exam are published on the Internet in the "Open Bank of Tasks". If you break them in advance, there will be no surprises on the exam. By the beginning of February school program In mathematics, almost passed: it remains only to train, bringing their skills to automatism. And it is necessary to concentrate on independent exercises in solving problems.

How to build independent training?

First of all, it is necessary to objectively assess your level. To do this, we should resolve 3-4 examinations of previous years and impartially, as this summer will make a computer, put a mark. Without taking into account the seductive "everything is right in this task, just in the last action random error." So you will learn, with what themes you do well, and which difficulties cause. In order not to fail the exam, it is necessary to solve 7 tasks. But, given the excitement and possible mistakes for inattention, when preparing for the exam, put the bar higher, at least 10 tasks. Next, it is necessary to develop a plan for preparing for the exam and - the main thing is to be able to embody it into life.

One of the most important rules Classes - Regularity. To prepare for the exam, take yourself at least 2-3 approaches per week, and better 3 times on the hour than 2 to a half. Place the repetition of all those with your schedule of classes. Planning to finish the preparation for the exam in early April - so you will have a month in the event if the gaps are serious and some topic "will not go."

Check yourself once a month: take 4 hours and decide during this time 2 full examination options. Evaluate yourself in examination criteria. If necessary, adjust the preparation plan. At first, it is not too fond of such inspections: first to repeat the material is better not in disagree, but by topic. Over time, gradually move from the thematic repetition to the complex.

"Pain points" of basic mathematics: what to pay attention to

In the base program exam, traditionally difficult are the tasks of geometry, not easy - on the properties of numbers. But questions "on the smelting" and logic tasksThough standing in the examination of the latter, not the most difficult. Especially if you get acquainted with them in advance, in a relaxed home setting.

Own forces Evaluate adequately. Do not start with the most difficult tasks. First make sure you confidently cope with simple tasks. Engage in stages, from simple to complex. If some topic does not give in at all - skip it. If there is time, return to it later. When the exam remains 3-4 months, it is better to first work at least, then move to a more difficult material.

Free resources for independent training

On the Internet you can find a lot of educational literature, training video courses and other information resources. But it would be wrong to disperse attention, trying to try them as much as possible. It is best to choose one source and fully explore it.

"Educational portal" RTUM EGE "

(1) Remote training system for preparing for state exams "RUME EGE" and "RUMU OGE" Created by creative association under the leadership of Gushchina D. D., Math Teachers, Physics and Informatics. (2) Dmitry Gushchin: Honorary Worker general Education Russian Federation, Russian Teacher - 2007, Member of the Federal Commission for the Development of Measuring Materials for Mathematics for Single state exam In mathematics, an expert of the Federal Subsection Commission of the EGE in Mathematics, Deputy Chairman of the Regional Subject Commission of GIA in Mathematics, expert Eger in mathematics, federal expert.

(3) Task catalogs are designed specifically for the "RUME EGE" portal and are the intellectual property of the editorial board. Tasks for tests are taken from open Bank Tasks of FIPI, demonstration versions of exams, tasks of past exams developed by the Federal Institute of Pedagogical Measurements, diagnostic workprepared by the Moscow Institute of Open Education. All tasks used in the system are equipped with answers and detailed solutions. Having mastered this system, (4) disappears the need to buy expensive methodological literature To prepare for the exam, scan something, reprint, systematize topics and tasks.

(5) On the site you can prepare for the exam and OGE on 14 subjects, as well as to prepare children to the UGR.

To start using the site (6) it is necessary in any search engine (Yandex, Rambler, Google ...) or in the address bar, enter the "Dem EGE" or enter the address of the site

(7) To access all site services, you need to register. To do this, you will need your email address. If you forget the password, there is a password recovery function. I recommend to work with the Yandex browser site, since it has a password memorization feature. After the first login to the site, the browser will offer to save the password and it will not have to be introduced each time. After registering on the "RUME EGE" website, you will automatically register on the Solution OGE website, and vice versa. To switch between sites (8), use the "Rent GIA" button.

Consider how to work with the site on the example of "RUME EGE" (on the Solution OGE website navigation is similar).

(9) When you hover the cursor to the "Mathematics" tab, you can choose between the profile and basic levels. (10) On the left side of the page - the site menu. Let's go through each menu item.

"On the exam". (11) Here are analytical and methodical materials on ege of past years, plan examinationThe time to perform the work is shown, the score of the Points is shown, the minimum threshold is indicated that you can take the exam.

"Task Catalog". (12) This section presents the thematic classifier of the taskbase. You can break all the tasks on the topics you are interested in. Registered users will receive information about the number of tasks they solved, and how many of them were solved correctly.

"Student". (13) Here are ready-made options for self-test (updated every month). There is a field to insert the number of the version compiled by the teacher. There is a field for finding a task by its number. Here, as a student, the teacher can make any test from the standard (both on the exam) to arbitrary with any number of tasks for any topic as the first and the second part (for the profile level). Perform work drawn up by the teacher can only registered on the site student (about registration below).

"Teacher." (14) Here the teacher can compile a diverse options for checking students' knowledge (any compiled option can be printed both with answers and without them), you can view the list of work created and the statistics of their execution, you can create groups and classes of students, browse in a class log The results of the work performed, you can create your own course for more comfortable communication with students.

On the tab (15) "Options (Methodistus)" presents demo believers and the texts of real examination works of past years, the texts of test work and the works of the Portal Mio Statgrad.

"Expert". (16) Here are the criteria for estimating tasks with from 13 to 19. The decisions of these tasks are presented here, as well as there are scanned real (17) work of students, on which it is possible to practice correctly evaluate the tasks of part C, and on these examples to show children as properly Register tasks with a detailed answer, show typical errors.

"School". (18) Here you can create your own rate for distance learning.

"Directory". (19) here are presented brief information on algebra and geometry, as well as detailed for each topic and the set number separately (except basic level). (20) On the Basic Level tab, reference materials are offered, which are issued with the kimami on the exam. (21) All material can be saved, and can also be printed.

The "Theory" tab (22) "Theory" (available only on the Recalculated Level tab) features and main general instructions To perform the tasks of part in with a brief answer. You can start to maintain each type of tasks with consideration of this theoretical reference. (23) Any of these memos can be saved and print. In my few classes, I do not invite this cheat sheet to each student, and for weakly speaking students it must be done.

On the tab (24) "Question - Answer" you can ask a question in the site support service or view the ribbon of frequently asked questions.

On the tab (25) "My Statistics", the student can see the percentage of the implementation of certain tasks of the examination work.

The "Favorites" tab includes tasks that you do not want to lose and note when viewing the "job directory" or on the "Student" tab.

Features and opportunities for teacher's work with the site to monitor students' knowledge.

(27) In order for a student to fulfill the teacher's tasks, he needs to register. To do this, the child must have its email box. If the child has already been registered earlier on the site to prepare for any other subject, it will not need a re-registration. To me with a small number of children was easier to make the most for every child email And register them on the Portal "RTUM EGE", distribute to each login and password to enter the site. (28) For the student to be added to your class, it must accomplish at least one job created by the teacher. And you can add a student according to its login. Children who have completed the work created by the teacher fall into the class "without group". You can distribute all children by groups, you can add, delete, translate students from one group to another. (29) Communication with children occurs through chat. (30) When you click on this button a list of children added to your class. (31) The teacher is an option from the required number of tasks and presses the button (32) "Make test" During the preparation, you can edit (33), set various parameters. The number of the compiled (34) option is copied and sent through chat (35) to each student when you click on the "Arrow". The child at the entrance to the site (36) immediately sees the incoming message with the number of the version compiled by the teacher, copies it in the "Teacher's option" field, clicks the "Open" button and proceeds to execute. For the purity of the experiment, you can give children different variants. Access to the solution and answers to the tasks of the child will appear only after checking the work by the teacher. (38) After solving all job tasks, the student clicks on the "Send Teacher" button at the end of the work. Instantly teacher (39) comes in chatting alert on the performance of work by the student. When you click on the number of the work (40), in such a notification, the teacher opens the work performed by the system already proven with the correct and incorrect tasks. A teacher may leave a comment on work, ask to make work on errors and set an assessment for work by clicking on the "Establishment" button, after (41) what the disciple comes a notice that the teacher checked the work. And now the student can see what tasks they are solved and not resolved, to see the solutions of the tasks of interest. If questions remain, we deal with them on specially designated classes. General (42) and detailed statistics on the work performed by the teacher may be viewed in the "Class Journal" (43) in the Teacher tab. If the job contained tasks with a detailed answer, then the student solves this task in the notebook, after which it scans or photographs the solution to the phone, (44) after which it attaches this file to the selected job. The teacher checks such assignments by relying on the proposed criteria and decision. (45) when creating a job with the "Make up homework»The student immediately has the opportunity to see the solution and the answer of each job task.

To work with the site as a teacher, it is enough to have a smartphone or a tablet with an Internet access. If the child has no access home, he can task at school. If possible, the teacher of informatics provides such an opportunity in non-current time. If the child does not have the opportunity to work at school at night-time, (46) it is provided to the house printed version of work. If desired, along with the tasks, you can print explanations, answers, key, criteria. For intellectual entertainment on the site provided (47) "EGE - toy" - a kind of online quiz with a virtual opponent. (48) You can choose a previous one or several (49) learning items from which questions will be asked. Time (50) on the answer is limited. You can make a virtual bet in points. Very tighten. You can start the acquaintance of children with the site with this "toys." They lost - it means it is necessary to prepare hard, won - well, but still need to train, so as not to lose the skill.

Registration of children on the site I consider it appropriate from the 9th grade. A (51) for children 6-8 classes thematic tasks displacing on the screen class work And I give in printed form to the house.

Four a year I prepare children with this portal. Results are pleased.

Mathematics teacher SS №21

Morozov MA

P .s.: Numbers in brackets correspond to the slide number in the presentation stored at:

Evaluation

two piecesincluding 19 tasks. Part 1 Part 2

3 hours 55 minutes (235 minutes).

Answers

But it is possible make Circul Calculators On the exam not used.

passport), pass and capillary or! Allowed to take with myself water (in a transparent bottle) and food

Examination work consists of two piecesincluding 19 tasks. Part 1 Contains 8 tasks of the base level of complexity with a brief response. Part 2 Built 4 tasks increased level difficulty with a brief answer and 7 tasks high level Difficulties with an expanded answer.

On the execution of examination work in mathematics is given 3 hours 55 minutes (235 minutes).

Answers To the tasks 1-12 are written in the form of an integer or ultimate decimal fraction. Numbers write down in the field of responses in the text of the work, and then transfer to the answer form No. 1, issued on the exam!

When performing the work, you can use issued with the work. It is allowed to use only a ruler, but you can make Circul do it yourself. It is forbidden to use tools with reference materials on them. Calculators On the exam not used.

On the exam, with you, you need to have a document certifying personality ( passport), pass and capillary or gel handle with black ink! Allowed to take with myself water (in a transparent bottle) and food (Fruit, chocolate, buns, sandwiches), but may ask to leave in the corridor.