PRUEBAS NACIONALES DE MATEMÁTICA 2025 PARTE 4

The National Tests in the Dominican Republic are standardized and mandatory assessments designed to certify students' learning achievements upon completion of an educational level, as well as to provide information on the performance of the education system for its improvement. 1. General Characteristics of the Tests: Format: They are presented in booklets or forms. For the Secondary Level, they usually consist of four booklets per subject area. Question Types: Most questions are closed-ended, multiple-choice, with four options, only one of which is correct. They are answered on an answer sheet. Occasionally, some open-ended or essay questions may be included. Competency-Based Approach: The National Tests are aligned with the Dominican curriculum, which is based on competencies. This means that they not only assess knowledge, but also the student's ability to apply that knowledge in different contexts and solve problems. Test Sessions: Several sessions are held each year (generally three). Duration: Each test lasts two hours. Administration: They are administered simultaneously throughout the country. 2. Competencies Assessed in Mathematics: The National Mathematics Tests assess the following specific competencies, which are aligned with the core competencies of the curriculum: Mathematical Communication: Reading, interpreting, expressing, defining, describing, representing, using mathematical language, and developing and explaining relationships. Modeling and Representation: Representing and expressing concepts using graphs, diagrams, symbols, and other mathematical tools. Reasoning and Argumentation: Evaluating situations to make decisions in different contexts and drawing conclusions from given information. Connection: Relating mathematical concepts to real-life situations and other areas of knowledge. Problem Solving: Formulating, solving, and validating problems. 3. Thematic Areas and Content: The content of the Mathematics test is generally organized into the following thematic areas, following the Secondary Level curriculum: Algebra - Arithmetic - Calculus Area: Systems of linear equations. Exponential and logarithmic equations. Real numbers and their properties (integers, decimals, fractions, ratios and proportions, percentages). Operations with real numbers. Concepts of LCM and GCD, divisibility rules. Algebraic expressions, polynomials. Inequalities. Sequences and progressions (arithmetic and geometric). Functions (linear, quadratic, exponential, logarithmic, trigonometric, etc.). Limits, continuity, and derivatives (basic concepts). * Geometric-Trigonometric Axis: Euclidean geometry (triangles, quadrilaterals, pyramids, prisms, cylinders, spheres). Calculation of areas and volumes of common shapes. Similarity and congruence of figures. Geometric properties of the circle. Pythagorean theorem. Triangle inequality. Trigonometric concepts (trigonometric ratios, trigonometric identities). Polar coordinates (basic concepts). Statistical-Probabilistic Axis: Measures of central tendency (mean, median, mode). Measures of position. Introduction to measures of dispersion. Laplace's measure of probability (simple, mutually exclusive, conditional events). Data representations (bar charts, pie charts, line graphs). Data analysis. 4. Bibliography and Study Resources: The Ministry of Education of the Dominican Republic (MINERD) is the institution in charge of the National Exams and publishes the official documents. There is no specific "bibliography" in the sense of a list of textbooks you must study. Instead, preparation is based on the current Secondary Level Curriculum. To prepare, I recommend the following resources and strategies: Dominican Educational Curriculum: Familiarize yourself with the Secondary Level Curriculum Design in the area of ​​Mathematics. This is the fundamental document that defines the expected learning outcomes and the competencies to be developed. You can find it on the Ministry of Education (MINERD) website.