الرياضيات (بالعربية) · الصف الأول الثانوي

15/15 أسبوعًا جاهزًا · Follows the order of the Egyptian Ministry of Education and Technical Education textbook Mathematics, First Form Secondary (Grade 10), Term 1 (four units, seventeen lessons; the English and Arabic editions are the same book, 119 printed pages). All explanations, exercises and quizzes are Darslab’s own.

Term 1Unit 1 Algebra, relations and functions: complex numbers, the type of the roots of a quadratic equation, the sum and product of the roots, the sign of a function and quadratic inequalities; Unit 2 Similarity: polygons, triangles, the ratio of areas and applications in the circle; Unit 3 The triangle proportionality theorems: parallel lines and proportional parts, angle bisectors; Unit 4 Trigonometry: the directed angle, degree and radian measure, the trigonometric functions, related angles, the graphs of sine and cosine and finding an angle from a ratio

الأعداد المركبة Complex numbers: the imaginary unit i, powers of i, the form a + bi, equality, operations, conjugates and division

المعادلة التربيعية: المميز ومجموع الجذرين وحاصل ضربهما The discriminant and the type of the two roots of a quadratic equation, and the sum and product of the two roots

تكوين المعادلات التربيعية من جذورها The roots and the coefficients: unknown coefficients, forming a quadratic equation from its roots or from the roots of another equation

إشارة الدالة والمتباينات التربيعية The sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown

تشابه المضلعات ومسلمة التشابه (زاويتين) Similarity of polygons, the scale factor and the AA postulate for triangles

مثلثات متشابهة بالقطع الموازي واختبارا SSS و SAS Similar triangles: the parallel-line corollary, the altitude to the hypotenuse, and the SSS and SAS cases

نسبة مساحتي شكلين متشابهين The ratio of the areas of two similar triangles or polygons, scale drawings and maps

الأوتار والقواطع والمماسات في الدائرة Applications of similarity in the circle: intersecting chords, secants and a tangent, and their converses

المستقيمات المتوازية والأجزاء المتناسبة Parallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem

نظرية منصّف الزاوية Angle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector

الزوايا الموجهة والراديان Directed angles, equivalent angles, and degree and radian measure

دائرة الوحدة والدوال الست Trigonometric functions: the unit circle, signs by quadrant and the ratios of special angles

الزوايا المرتبطة Related angles and the general solution of trigonometric equations

منحنيا الجيب وجيب التمام والدوال العكسية Graphs of the sine and cosine functions, and finding an angle from one of its ratios

مراجعة الفصل الأول Term 1 review

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