About this video

• Video Title: اقوى مراجعة في الرياضيات للرابعة متوسط لبيام 2025 (جميع المحاور)(كمل الفيديو للنهاية)
• Channel: الاستاذ نورالدين
• Speakers: الاستاذ نورالدين
• Duration: 58:58

Overview

This video provides a comprehensive review of mathematics for fourth-year middle school students preparing for the BEAM 2025 exam. The instructor covers multiple key mathematical topics, including number theory, algebra, functions, geometry, and problem-solving scenarios, offering detailed explanations and solutions to various exercises.

Key takeaways

• Number Theory: Calculation of GCD, simplification of fractions, and simplification of square roots.
• Algebra: Expanding and simplifying expressions, factoring polynomials, solving equations, and solving inequalities.
• Functions: Determining the algebraic expression of a linear function and finding the number whose image is a given value.
• Geometry: Proving a triangle is a right triangle using the converse of the Pythagorean theorem, calculating its area, and finding the altitude.
• Problem-Solving Scenarios: Analyzing and modeling real-world situations involving salaries and production using linear functions and systems of equations.
• Graphical Representation: Drawing lines representing linear functions and interpreting their intersection point.

The video demonstrates the calculation of the Greatest Common Divisor (GCD) using the Euclidean algorithm. The process involves repeatedly dividing the larger number by the smaller number and then replacing the larger number with the smaller number and the smaller number with the remainder. This continues until the remainder is zero. The last non-zero remainder is the GCD. For example, to find the GCD of 1053 and 832, the steps shown are:

1. 1053 = 832 * 1 + 221
2. 832 = 221 * 3 + 169
3. 221 = 169 * 1 + 52
4. 169 = 52 * 3 + 13
5. 52 = 13 * 4 + 0 The last non-zero remainder is 13, so the GCD(1053, 832) = 13.