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Term 1

Unit 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

1الأعداد المركبةComplex numbers: the imaginary unit i, powers of i, the form a + bi, equality, operations, conjugates and division 2المعادلة التربيعية: المميز ومجموع الجذرين وحاصل ضربهماThe discriminant and the type of the two roots of a quadratic equation, and the sum and product of the two roots 3تكوين المعادلات التربيعية من جذورهاThe roots and the coefficients: unknown coefficients, forming a quadratic equation from its roots or from the roots of another equation 4إشارة الدالة والمتباينات التربيعيةThe sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown 5تشابه المضلعات ومسلمة التشابه (زاويتين)Similarity of polygons, the scale factor and the AA postulate for triangles 6مثلثات متشابهة بالقطع الموازي واختبارا SSS و SASSimilar triangles: the parallel-line corollary, the altitude to the hypotenuse, and the SSS and SAS cases 7نسبة مساحتي شكلين متشابهينThe ratio of the areas of two similar triangles or polygons, scale drawings and maps 8الأوتار والقواطع والمماسات في الدائرةApplications of similarity in the circle: intersecting chords, secants and a tangent, and their converses 9المستقيمات المتوازية والأجزاء المتناسبةParallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem 10نظرية منصّف الزاويةAngle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector 11الزوايا الموجهة والراديانDirected angles, equivalent angles, and degree and radian measure 12دائرة الوحدة والدوال الستTrigonometric functions: the unit circle, signs by quadrant and the ratios of special angles 13الزوايا المرتبطةRelated angles and the general solution of trigonometric equations 14منحنيا الجيب وجيب التمام والدوال العكسيةGraphs of the sine and cosine functions, and finding an angle from one of its ratios 15مراجعة الفصل الأولTerm 1 review

☰ Year plan · Mathematics (Arabic)

Egypt›Secondary 1›Mathematics (Arabic)›Week 13

الزوايا المرتبطة

Week 13 · Related angles and the general solution of trigonometric equations · 3 lessons

Lesson 1 Lesson 2 Lesson 3 Quiz8 Homework5

← PreviousWeek 13 · الحل العام للمعادلات ⁦sin α = cos β⁩ و⁦sec α = csc β⁩ و⁦tan α = cot β⁩Next →Week 13 · Homework

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