The average general education

UMK line by G. K. Muravin. Algebra and the beginnings of mathematical analysis (10-11) (in-depth)

UMK Merzlyak line. Algebra and the beginnings of analysis (10-11) (U)

Maths

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

The examination work at the profile level lasts 3 hours 55 minutes (235 minutes).

Minimum threshold- 27 points.

The examination paper consists of two parts, which differ in content, complexity and number of tasks.

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

• part 1 contains 8 tasks (tasks 1-8) with a short answer in the form of an integer or a final decimal fraction;
• Part 2 contains 4 tasks (tasks 9-12) with a short answer in the form of an integer or a final decimal fraction and 7 tasks (tasks 13-19) with a detailed answer (complete record of the solution with justification of the actions performed).

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

“In order to get a school certificate, a graduate must pass two compulsory examinations v USE form one of which is math. In accordance with the Concept for the Development of Mathematical Education in Russian Federation The exam in mathematics is divided into two levels: basic and specialized. Today we will consider options for the profile level. "

Task number 1- tests the USE participants' ability to apply the skills acquired in the course of 5-9 grades in elementary mathematics in practical activities. The participant must have computational skills, be able to work with rational numbers, be able to round decimals, be able to convert one unit of measurement to another.

Example 1. An expense meter was installed in the apartment where Peter lives cold water(counter). On May 1, the meter showed a consumption of 172 cubic meters. m of water, and on June 1 - 177 cubic meters. m. How much should Peter pay for cold water in May, if the price of 1 cu. m of cold water is 34 rubles 17 kopecks? Give your answer in rubles.

Solution:

1) Find the amount of water spent per month:

177 - 172 = 5 (cubic meters)

2) Let's find how much money will be paid for the spent water:

34.17 5 = 170.85 (rub)

Answer: 170,85.

Task number 2-is one of the simplest exam tasks. Most graduates successfully cope with it, which testifies to the possession of the definition of the concept of function. Type of task number 2 according to the requirements codifier is a task on the use of acquired knowledge and skills in practical activities and Everyday life... Task number 2 consists of describing with the help of functions various real dependencies between quantities and the interpretation of their graphs. Task number 2 tests the ability to extract information presented in tables, diagrams, graphs. Graduates need to be able to determine the value of a function by the value of the argument in various ways of defining a function and describe the behavior and properties of a function according to its graph. It is also necessary to be able to find the largest or smallest value on the graph of the function and plot the graphs of the studied functions. The mistakes made are random in reading the problem statement, reading the diagram.

# ADVERTISING_INSERT #

Example 2. The figure shows the change in the market value of one share of a mining company in the first half of April 2017. On April 7, the businessman acquired 1,000 shares of this company. On April 10, he sold three-quarters of the purchased shares, and on April 13, he sold all the rest. How much did the businessman lose as a result of these operations?

Solution:

2) 1000 3/4 = 750 (shares) - make up 3/4 of all purchased shares.

6) 247500 + 77500 = 325000 (rubles) - the businessman received 1000 shares after the sale.

7) 340,000 - 325,000 = 15,000 (rubles) - the businessman lost as a result of all operations.

The USE in mathematics is one of the main tests for high school graduates before getting a certificate and entering a higher educational institution. This version of knowledge control is used to assess knowledge in the disciplines obtained in the process school education... The unified state examination takes place in the form of testing, preparation of tasks for the final test is carried out by Rosobrnadzor and other authorized bodies in the field of education. The passing score in mathematics depends on the individual requirements of the university to which you are applyinggraduate. Passing the high grade exam is an important factor in your success in admission.

The mathematics of the profile level is necessary for admission to universities of a technical, economic orientation. The basis of the exam tasks is the basic level, more complex problems and examples are added to it. Short and detailed answers are suggested:

• The first tasks do not require advanced knowledge - this is a test of knowledge of the basic level;
• The next 5 are more difficult, an average and high level of mastery of the subject is required. These tasks are checked with a computer because the answer to them is short.

If a student chooses this level, this implies his desire to continue studying the exact sciences in a higher educational institution in the future. The choice in favor of the profile exam also indicates that the level of knowledge of the student is quite high, in other words, fundamental preparation is not needed.
The preparation process includes repetition of the main sections, solving problems of increased complexity that require a non-standard, creative approach.

Preparation methods

• Basic training is carried out at the school, where the student learns the basics, sometimes the teacher conducts additional electives for graduates. The main recommendation is to carefully and thoroughly master all topics, especially in the graduate class.
• Independent work: This requires special self-discipline, will and self-control. You must carefully read ... The problem is in the direction - only a specialist can competently direct the future applicant to those topics that need to be paid attention to.
• Tutoring: a professional specialist will help you solve complex tasks efficiently and quickly.
• Courses and online training: a modern and proven way that saves time and money. An important advantage: you can take tests online, get answers quickly, train on different tasks.

Many applicants are concerned about how to independently acquire the knowledge necessary to successfully pass the pre-admission tests. In 2017, they often turn to the internet to find a solution. There are many solutions, for the truly worthwhile it is worth looking for a very long time. Fortunately, there are well-known and proven systems out there. One of them - I will solve the exam by Dmitry Gushchin.

The educational system of Dmitry Gushchin called "I will solve the Unified State Exam" implies a comprehensive preparation for the upcoming exam. Dmitry Gushchin tried to give the necessary knowledge for free so that the future generation could successfully pass the exams. The system is designed for independent study of subjects. I will solve the exam based on the uniform presentation of information, which consistently, topic by topic, fits into the brain of the student.

USE-2017 in mathematics, basic level

Dmitry Gushchin undertakes to help with such exams as the OGE and the Unified State Examination, using a very common methodology. It lies in the fact that all new knowledge is submitted and systematized by topic. The student can easily choose what he needs to repeat for the final consolidation of the material.

Assignments are available at basic and specialized levels. A striking example such an assignment is mathematics. The main (basic) level covers the general school volume of knowledge. It requires the knowledge that each student receives in 11 years. The profile level is designed for graduates of specialized schools with a focus on a particular subject.

An interesting feature of the system is its similarity to a real exam. In the event of a final control task are submitted in the USE format. The student can also find out their final score after passing the test. This helps to motivate a person to achieve new goals and to learn new material. Being aware of your real chances on the exam helps you gather your thoughts and understand what exactly needs to be learned.

The most demanded subjects in the "Reshu Unified State Exam" are provided along with others. Dmitry Gushchin's Russian language includes the rules of grammar, punctuation and syntax, as well as vocabulary. Chemistry contains examples of solving specific problems, special formulas. Also, the chemistry section includes various compounds and concepts about chemicals... The section of biology covers the vital activity of all kingdoms of living organisms. It contains important theory that will ultimately help you pass the exam.

The next feature is that your progress is recorded and you can track your progress. This approach will help you motivate yourself even when you don't feel like learning anymore. Your own result always forces you to do more.

The system also has criteria for evaluating work. They will make your exam preparation planned and thoughtful. The prospective student will always be able to read them and understand what the examiner will pay attention to. This is important in order to pay attention to certain important aspects of the work. In general, the student is fully aware of the importance of his choice and remembers the assessment criteria.

Secondary general education

UMK line by G. K. Muravin. Algebra and the beginnings of mathematical analysis (10-11) (in-depth)

UMK Merzlyak line. Algebra and the beginnings of analysis (10-11) (U)

Maths

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

The examination work at the profile level lasts 3 hours 55 minutes (235 minutes).

Minimum threshold- 27 points.

The examination paper consists of two parts, which differ in content, complexity and number of tasks.

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

• part 1 contains 8 tasks (tasks 1-8) with a short answer in the form of an integer or a final decimal fraction;
• Part 2 contains 4 tasks (tasks 9-12) with a short answer in the form of an integer or a final decimal fraction and 7 tasks (tasks 13-19) with a detailed answer (complete record of the solution with justification of the actions performed).

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

“In order to get a school certificate, a graduate must pass two compulsory examinations in the form of the Unified State Exam, one of which is mathematics. In accordance with the Concept for the Development of Mathematical Education in the Russian Federation, the Unified State Exam in Mathematics is divided into two levels: basic and specialized. Today we will consider options for the profile level. "

Task number 1- tests the USE participants' ability to apply the skills acquired in the course of 5-9 grades in elementary mathematics in practical activities. The participant must have computational skills, be able to work with rational numbers, be able to round decimal fractions, be able to convert one unit of measurement to another.

Example 1. In the apartment where Peter lives, a cold water meter (meter) was installed. On May 1, the meter showed a consumption of 172 cubic meters. m of water, and on June 1 - 177 cubic meters. m. How much should Peter pay for cold water in May, if the price of 1 cu. m of cold water is 34 rubles 17 kopecks? Give your answer in rubles.

Solution:

1) Find the amount of water spent per month:

177 - 172 = 5 (cubic meters)

2) Let's find how much money will be paid for the spent water:

34.17 5 = 170.85 (rub)

Answer: 170,85.

Task number 2-is one of the simplest exam tasks. Most graduates successfully cope with it, which testifies to the possession of the definition of the concept of function. The type of task number 2 according to the requirements codifier is a task for using the acquired knowledge and skills in practical activities and everyday life. Task number 2 consists of the description using functions of various real relationships between the quantities and the interpretation of their graphs. Task number 2 tests the ability to extract information presented in tables, diagrams, graphs. Graduates need to be able to determine the value of a function by the value of the argument in various ways of defining a function and describe the behavior and properties of a function according to its graph. It is also necessary to be able to find the largest or smallest value on the graph of the function and plot the graphs of the studied functions. The mistakes made are random in reading the problem statement, reading the diagram.

# ADVERTISING_INSERT #

Example 2. The figure shows the change in the market value of one share of a mining company in the first half of April 2017. On April 7, the businessman acquired 1,000 shares of this company. On April 10, he sold three-quarters of the purchased shares, and on April 13, he sold all the rest. How much did the businessman lose as a result of these operations?

Solution:

2) 1000 3/4 = 750 (shares) - make up 3/4 of all purchased shares.

6) 247500 + 77500 = 325000 (rubles) - the businessman received 1000 shares after the sale.

7) 340,000 - 325,000 = 15,000 (rubles) - the businessman lost as a result of all operations.

Our portal gives you this opportunity!

In that academic year as in the past, many subjects have undergone changes and refinements. We took this into account when selecting materials!

In this section, you will find tasks similar to the officially approved ones that are offered in exams. In addition, we have solutions for all tasks. Any user of the portal can try their hand at online testing: you answer questions, find out the result and get a referral for further training, identifying your weaknesses and strengths.

Especially for applicants, we have organized an applicant's calendar, which contains the most complete and up-to-date information on all important events for those taking the exam and entrance exams... You will find a detailed timetable here Unified State Examination, admission campaigns of higher and special educational institutions, deadlines for submission of documents and dates of enrollment in various educational institutions.

If, after passing the exam, the score obtained is less than expected, we recommend that you strengthen your preparation. You can always use the resources preparation for the exam developed on our portal especially for you!