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Term 1
Unit 1 Numbers and their operations: real numbers (irrational numbers, estimating roots), intervals and their operations, operations on real numbers, laws of square and cube roots, laws of exponents; Unit 2 Algebra: factorising (common factor, trinomials, special cases, grouping and completing the square); Unit 3 Geometry: congruence, Pythagoras’ theorem and its converse, parallel lines and the midsegment, medians, the isosceles triangle, interior and exterior angles of polygons; Unit 4 Statistics: ascending cumulative frequency tables and curves, mean, median and mode of a grouped frequency table
1
الأعداد الحقيقية
Real numbers: irrational numbers, estimating roots on the number line and the set R
2
الفترات
Intervals: bounded and unbounded intervals and the operations union, intersection, difference and complement
3
الجذور
Operations on radicals: like radicals, inverses, conjugates and the laws of square and cube roots
4
قوانين الأسس
Laws of exponents: powers of real numbers, zero and negative exponents
5
التحليل: العامل المشترك وثلاثيات الحدود
Factorising: common factor, then trinomials and quadratic equations
6
حالات التحليل الخاصة
Special cases: perfect squares, difference of two squares, sum and difference of two cubes
7
التحليل بالتقسيم وإكمال المربع
Factorising by grouping and completing the square
8
التطابق
Congruence: congruent polygons and the five cases of congruent triangles
9
نظرية فيثاغورس
Pythagoras' theorem and its converse: finding sides and classifying triangles
10
المتوازيات والمتوسطات
Parallel lines and medians: equal intercepts, the midsegment of a triangle and the medians of a triangle
11
المثلث المتساوي الساقين
The isosceles triangle: base angles, the equilateral triangle, axis of symmetry and the 30°–60°–90° triangle
12
زوايا المضلعات
Polygons: interior and exterior angles, regular polygons
13
التكرار المتجمع
Ascending cumulative frequency tables and their graphs
14
الوسط والوسيط والمنوال
Mean, median and mode of a grouped frequency table
15
مراجعة الفصل الأول
Term 1 review
☰ Year plan · Mathematics (Arabic)
Egypt
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Preparatory 2
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Mathematics (Arabic)
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Week 5
التحليل: العامل المشترك وثلاثيات الحدود
Week 5 · Factorising: common factor, then trinomials and quadratic equations · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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تحليل ax² + bx + c وحل المعادلات التربيعية
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