8th grade
Students learn the basic concepts of algebra and geometry. They become familiar with square roots, exponents with rational indices, and quadratic equations. Additionally, they are introduced to quadrilaterals, basic concepts of trigonometry, and the Pythagorean theorem.
lesson 1
Algebraic fractionslesson 2
Hyperbolalesson 3
Square root and cube rootlesson 4
n-th rootslesson 5
Powers with rational exponentslesson 6
Concept of inequalitieslesson 7
Linear inequalities
lesson 8
System of linear inequalitieslesson 9
Absolute value of a number. Equations and inequalities with absolute valuelesson 10
Approximate calculationslesson 11
Quadratic equationslesson 12
Reduced quadratic equations. Vieta's theorem.- 1. Finding reduced quadratic equations
- 2. "Reducing a quadratic equation to a reduced quadratic equation"
- 3. "Finding the sum and product of the roots of a reduced quadratic equation"
- 4. "Finding the roots of a reduced quadratic equation using the selection method"
- 5. Factoring a quadratic trinomial into linear factors
lesson 13
Equations reducible to quadratic equationslesson 14
Data analysis
lesson 15
Quadrilaterals- 1. Polygons
- 2. Properties of interior angles of polygons
- 3. Properties of external angles of polygons
- 4. Parallelogram and its properties
- 5. Angles in a parallelogram
- 6. Signs of a parallelogram
- 7. Rectangle and its properties
- 8. Angles in a rectangle
- 9. Square and its properties
- 10. Angles in a square
- 11. Rhombus and its properties
- 12. Angles in a rhombus
- 13. Trapezium and its types
- 14. Angles in a trapezoid
lesson 16
Thales' theorem and its applicationslesson 17
Trigonometric functions of an acute anglelesson 18
Pythagoras' theoremlesson 19
Solving right triangleslesson 20
Coordinate system in a plane