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Mathematics course 8th grade (advanced level) - course 9990 rub. from Foxford, training 31 lessons, Date: December 5, 2023.
Miscellaneous / / December 05, 2023
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The lesson lasts 2 academic hours.
Researcher at the international laboratory at the National Research University Higher School of Economics. Mathematics teacher at MIPT Olympiad schools.
Algebra
The section is devoted to the main sections of the 8th grade algebra course: quadratic equations, Vieta's theorem, operations with powers, solving systems of equations and other topics.
- Abbreviated multiplication formulas. Factoring a Polynomial
- Arithmetic square root and its properties
- Quadratic equation. Root formula. Vieta's theorem
- Solving word problems using quadratic equations
- Solving inequalities and systems. Inequalities with modulus
- Degree with an integer indicator
Geometry
The section is devoted to the main sections of the 8th grade geometry course: quadrilaterals, parallelograms, trapezoids, inscribed angles, area, Pythagorean theorem and other topics.
- Quadrilaterals and their properties
- The inscribed angle theorem. Inscribed quadrilateral. Circumscribed quadrilateral
- Inscribed and excircles of a triangle
- Parallelogram: its properties and features. Rectangle. Rhombus. Square.
- Thales' theorem. Proportional segments. Properties of the median and bisector of a triangle
- Trapezoid and its properties
- Sine, cosine tangent of an acute angle. Proportional segments in a right triangle.
Number theory
The section examines some sections of number theory: divisibility, prime numbers, the fundamental theorem of arithmetic, GCD and LCM.
- Divisibility. Prime and composite numbers. Division with remainder
- GCD and NOC. Euclid's algorithm.
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