| Level 1 (reproductive) |
Level 2 (productive) |
Level 3 (creative) |
| Student:- understands the main content of mathematics data presented in the textbook and/or presented by a lecturer;- able to solve mathematical problems and exercises similar to those that were observed in the classroom or the coursebook;- can find the necessary information on the appropriate topics of the course content, apply them in simple situations and present their solutions. |
Student:- has an algorithm for solving mathematical problems and exercises, techniques of transmitting information;- can apply mathematical theory/models correctly, laws, formulas and rules when solving problems.- understands the key point of the mathematical object, using reasoning, distinguishes the concept from the general, solves problems for special cases, without transferring the reasoning to the general ideas;- has mathematical skills necessary for everyday life, for studying other subjects and continuing studies. |
Student:- can draw analogies and main differences between mathematical structures and objects;- able to analyze mathematical information, evaluate it, and put to practice use;- able to apply maths knowledge and skills of problem-solving in new conditions and other branches of learning;- has logical practices of mental activity (analysis and synthesis, comparison and analogy, etc. ) and uses them to establish relations between mathematical objects;- able to plan and carry out research, analyze results, and summarizing. |
| 10th gradeA substantial part: functions, equations, and inequations.Subject competence: analytical and functional.Expected result: applies equations and inequations and their systems when solving problems.Indicators of their achievement: leads to a standard form and solves equations; derives an equation or system of equations in two unknowns in problems describing real-life situations and solves; interprets the solution taking into account the content of the problem. |
| Level 1The result is achieved if a student can adjust for the standard form and solve quadratic equations.(x–3)(x +2) = 6. |
Level 2 The result is achieved if a student can solve a problem like the one below by setting up a quadratic equation.Getting each of the two square sides longer by 3 cm, we got a rectangle which has an area of 21 square cm.Define the square perimeter. |
Level 3 The result is achieved if a student can solve a problem like the one below by setting up a quadratic equation.Asan left city A for city B. At the same time, Usen left B for A. How much did it take for each person to get to their destination, if it is known that they were moving at a constant speed, met in 2 hours and 6 minutes, and Asan had spent for 4 hours more on his way to city B? |
| Grade 11.A substantial part: functions, equations, and inequations.Subject competence: analytical and functional.Expected result: defines basic concepts of mathematical analysis and applies them to solving applied problems. Indicators of their achievement: understands and can use the primitive to calculate the value of a certain integral using Newton and Leibniz integral rule; solves for the shape area bounded by function graphs; models the simplest problems and solves them using a certain integral. |
| The result is achieved if a student can calculate the value of the integral
. |
The result is achieved if a student can calculate the shape area bounded by the function graph –х2 – 2х + 3 and the abscissa axis. |
The result is achieved if a student can solve the problem:identify producer surplus, as well as the consumer’s gains, if supply and demand of the product are set by the functionsp = 22 – q4 и p = q2 + 2. |
