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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
Complex numbers
Complex numbers: the imaginary unit i, powers of i, the form a + bi, equality, operations, conjugates and division
2
Quadratic equations: the discriminant and the sum and product of the roots
The discriminant and the type of the two roots of a quadratic equation, and the sum and product of the two roots
3
Forming quadratic equations from their roots
The roots and the coefficients: unknown coefficients, forming a quadratic equation from its roots or from the roots of another equation
4
The sign of a function and quadratic inequalities
The sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown
5
Similar polygons and the AA postulate
Similarity of polygons, the scale factor and the AA postulate for triangles
6
Triangles that cut off similar triangles, and the SSS and SAS tests
Similar triangles: the parallel-line corollary, the altitude to the hypotenuse, and the SSS and SAS cases
7
The ratio of areas of similar figures
The ratio of the areas of two similar triangles or polygons, scale drawings and maps
8
Chords, secants and tangents of a circle
Applications of similarity in the circle: intersecting chords, secants and a tangent, and their converses
9
Parallel lines and proportional parts
Parallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem
10
The angle bisector theorem
Angle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector
11
Directed angles and radians
Directed angles, equivalent angles, and degree and radian measure
12
The unit circle and the six functions
Trigonometric functions: the unit circle, signs by quadrant and the ratios of special angles
13
Related angles
Related angles and the general solution of trigonometric equations
14
Graphs of sine and cosine and inverse functions
Graphs of the sine and cosine functions, and finding an angle from one of its ratios
15
Term 1 review
Term 1 review
☰ Year plan · Mathematics
Egypt
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Secondary 1
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Mathematics
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Week 6
Triangles that cut off similar triangles, and the SSS and SAS tests
Week 6 · Similar triangles: the parallel-line corollary, the altitude to the hypotenuse, and the SSS and SAS cases · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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Week 6 ·
Proportional sides (SSS) and one equal angle between proportional sides (SAS): proving that two triangles are similar
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Week 6 · Homework
