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🏫Uzbek school curriculum

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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

1Complex numbersComplex numbers: the imaginary unit i, powers of i, the form a + bi, equality, operations, conjugates and division 2Quadratic equations: the discriminant and the sum and product of the rootsThe discriminant and the type of the two roots of a quadratic equation, and the sum and product of the two roots 3Forming quadratic equations from their rootsThe roots and the coefficients: unknown coefficients, forming a quadratic equation from its roots or from the roots of another equation 4The sign of a function and quadratic inequalitiesThe sign of a constant, linear and quadratic function, and quadratic inequalities in one unknown 5Similar polygons and the AA postulateSimilarity of polygons, the scale factor and the AA postulate for triangles 6Triangles that cut off similar triangles, and the SSS and SAS testsSimilar triangles: the parallel-line corollary, the altitude to the hypotenuse, and the SSS and SAS cases 7The ratio of areas of similar figuresThe ratio of the areas of two similar triangles or polygons, scale drawings and maps 8Chords, secants and tangents of a circleApplications of similarity in the circle: intersecting chords, secants and a tangent, and their converses 9Parallel lines and proportional partsParallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem 10The angle bisector theoremAngle bisectors and proportional parts: interior and exterior bisectors and the length of a bisector 11Directed angles and radiansDirected angles, equivalent angles, and degree and radian measure 12The unit circle and the six functionsTrigonometric functions: the unit circle, signs by quadrant and the ratios of special angles 13Related anglesRelated angles and the general solution of trigonometric equations 14Graphs of sine and cosine and inverse functionsGraphs of the sine and cosine functions, and finding an angle from one of its ratios 15Term 1 reviewTerm 1 review

☰ Year plan · Mathematics

Egypt›Secondary 1›Mathematics›Week 9

Parallel lines and proportional parts

Week 9 · Parallel lines and proportional parts: the triangle proportionality theorem, its converse and Thales' theorem · 3 lessons

Lesson 1 Lesson 2 Lesson 3 Quiz8 Homework5

← PreviousWeek 9 · Thales' general theorem: several parallel lines cut two transversals in proportional parts, the equal-parts case and applications Next →Week 9 · Homework

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