Mathematics · Secondary 1

15/15 weeks ready · 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

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

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

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

The sign of a function and quadratic inequalities The sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown

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

The ratio of areas of similar figures The ratio of the areas of two similar triangles or polygons, scale drawings and maps

Chords, secants and tangents of a circle Applications of similarity in the circle: intersecting chords, secants and a tangent, and their converses

Parallel lines and proportional parts Parallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem

The angle bisector theorem Angle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector

Directed angles and radians Directed angles, equivalent angles, and degree and radian measure

The unit circle and the six functions Trigonometric functions: the unit circle, signs by quadrant and the ratios of special angles

Related angles Related angles and the general solution of trigonometric equations

Graphs of sine and cosine and inverse functions Graphs of the sine and cosine functions, and finding an angle from one of its ratios

Term 1 review Term 1 review

The Egyptian Ministry of Education and Technical Education (MOETE) is not affiliated with, and does not endorse, Darslab. Lessons follow the order of the Ministry’s textbooks; all explanations, exercises and quizzes are Darslab’s own. Pictures of animals, plants and objects: Twemoji, CC BY 4.0.