Preparation course for the basic Unified State Exam 2023 in mathematics, grades 10-11 - free course from Foxford, training 32 lessons, date: December 4, 2023.

Module 1. Manipulating Numbers and Converting Expressions
Let's learn how to calculate the values ​​of expressions without errors (task No. 1), transform irrational, power, logarithmic and trigonometric expressions in rational ways (task No. 7), as well as compare numbers (task No. 17).
- Actions with rational numbers. Converting Expressions Containing Exponents
- Converting irrational expressions
- Convert logarithmic expressions
- Convert trigonometric expressions

Module 2. Simple word problems and practical calculations
We will learn to solve word problems involving percentages and ratios, as well as more complex problems of choosing the optimal option. We will learn to solve problems without errors involving calculations using given formulas, comparison of units of measurement and problems of estimating the area of ​​a plot.
- Actions with formulas, sizes and units of measurement.
- Simple word problems
- Problems on percentages and parts
- Selection of the optimal option

Module 3. Planimetry
Let us repeat the most important properties and formulas of planimetry for solving Unified State Examination problems. We will solve many problems of determining the elements and areas of triangles and quadrilaterals, as well as problems about circles and the relative positions of circles and polygons (tasks No. 5, 10, 15).
- The simplest practice-oriented tasks in planimetry
- Triangles
- Quadrilaterals and polygons
- Circumference, circle

Module 4. Equations and inequalities
We will develop skills in solving rational, irrational, exponential and logarithmic equations in the Unified State Exam format (task No. 9). Let's learn to solve simple inequalities without errors and present solutions to inequalities on the number line (task No. 17)
- Rational and irrational equations
- Exponential, logarithmic equations
- Numerical intervals, solving rational inequalities
- Solving exponential and logarithmic inequalities

Module 5. Word problems
We will learn to rationally solve problems about mixtures, movement in a straight line and in a circle, movement along a river, work (task No. 20), and also analyze statements and statements and draw correct conclusions using logical reasoning (task №18).
- Problems on alloys, solutions and mixtures
- Movement tasks
- Tasks for work
- Analysis of statements and statements

Module 6. Probability theory. Reading and analyzing graphs and charts
Let's remember the classic definition of the probability of an event and learn how to solve problems to determine the probability of a product and sum of events (task No. 11). Let's learn to analyze diagrams and graphs of functions, including using the properties of the derivative (tasks No. 4, 14)
- Classic definition of the probability of an event. Operations on events
- Theorems of the theory of probability of events. Reading graphs and charts
- Analysis of graphs and charts
- Application of derivative to the study of functions

Module 7. Stereometry
Let us repeat the most important properties and formulas of stereometry for solving Unified State Exam problems. We will solve many problems on determining the elements of polyhedra, volumes and surface areas of polyhedra and round bodies (tasks No. 13, 16)
- Polyhedra and their elements
- Surface areas and volumes of polyhedra.
- Round bodies and their elements. Surface areas and volumes of round bodies
- Practice-oriented tasks in stereometry

Module 8. Problems on the properties of numbers and ingenuity
We will learn to solve the most difficult USE problems in basic-level mathematics - problems of ingenuity (task No. 21) and properties of numbers (task No. 19), and also together we will solve the full version of the exam
- Problem 19 of the Unified State Exam: numbers and their properties
- Task 19 Unified State Exam: digital recording of numbers
- Challenges for ingenuity
- Repetition, solution of trial version