15/15 weeks ready · Follows the order of Part One, Algebra and Analytic Solid Geometry, of the Egyptian Ministry of Education and Technical Education textbook Mathematics, Third Form Secondary (Grade 12), Science Section, as the plan for Term 1 (four units, eleven lessons, printed pages 4–100; the English and Arabic editions are the same book; Part Two, Differential and Integral Calculus, is not part of this plan). All explanations, exercises and quizzes are Darslab’s own.
Term 1Unit 1 The binomial theorem: Pascal’s triangle, the expansion, the general term, the middle term, terms containing x^k and free of x, ratios of consecutive terms and the greatest term; Unit 2 Complex numbers: the Argand plane, modulus and amplitude, trigonometric and exponential forms, De Moivre’s theorem, roots of complex numbers and the cube roots of unity; Unit 3 Geometry and measurement in two and three dimensions: the three-dimensional coordinate system, vectors in space, the scalar product, the vector product and the scalar triple product; Unit 4 Straight lines and planes in space: equations of a line, angles and positions of lines, equations of a plane, intersections, angles and distances
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نظرية ذات الحدين: المفكوك والحد العام ومجموع مفكوكين The binomial theorem: Pascal’s triangle and combinations, the expansion of (x + a)^n, the general term, the term counted from the end, sums and differences of two expansions
الضرب القياسي والزاوية بين متجهين ومركبة المتجه The scalar product: definition, properties, coordinates, the angle between two vectors, the component and the projection of one vector on another
العمود على مستقيم والبعد عن مستقيم ومعادلة المستوى A line meeting a given line at right angles, the distance from a point to a line, the equation of a plane in vector, standard and general form, a plane through three points or containing two lines
تقاطع المستقيم والمستوى والزاوية بين مستويين والأبعاد Where a line meets a plane, the angle between planes, parallel and perpendicular planes, the line of intersection of two planes, distances from a point to a plane and between parallel planes, the intercept form
The Egyptian Ministry of Education and Technical Education (MOETE) is not affiliated with, and does not endorse, Darslab. Lessons follow the order of the Ministry’s textbooks; all explanations, exercises and quizzes are Darslab’s own. Pictures of animals, plants and objects: Twemoji, CC BY 4.0.
