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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
1
الأعداد المركبة
Complex numbers: the imaginary unit i, powers of i, the form a + bi, equality, operations, conjugates and division
2
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
3
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
4
إشارة الدالة والمتباينات التربيعية
The sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown
5
تشابه المضلعات ومسلمة التشابه (زاويتين)
Similarity of polygons, the scale factor and the AA postulate for triangles
6
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
7
نسبة مساحتي شكلين متشابهين
The ratio of the areas of two similar triangles or polygons, scale drawings and maps
8
الأوتار والقواطع والمماسات في الدائرة
Applications of similarity in the circle: intersecting chords, secants and a tangent, and their converses
9
المستقيمات المتوازية والأجزاء المتناسبة
Parallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem
10
نظرية منصّف الزاوية
Angle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector
11
الزوايا الموجهة والراديان
Directed angles, equivalent angles, and degree and radian measure
12
دائرة الوحدة والدوال الست
Trigonometric functions: the unit circle, signs by quadrant and the ratios of special angles
13
الزوايا المرتبطة
Related angles and the general solution of trigonometric equations
14
منحنيا الجيب وجيب التمام والدوال العكسية
Graphs of the sine and cosine functions, and finding an angle from one of its ratios
15
مراجعة الفصل الأول
Term 1 review
☰ Year plan · Mathematics (Arabic)
Egypt
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Secondary 1
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Mathematics (Arabic)
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Week 8
الأوتار والقواطع والمماسات في الدائرة
Week 8 · Applications of similarity in the circle: intersecting chords, secants and a tangent, and their converses · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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Week 8 ·
العكس: أربع نقاط على دائرة واحدة والشكل الرباعي الدائري ومستقيم يمس دائرة
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Week 8 · Homework
