Grades
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.
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- Finding reduced quadratic equationsStart
- "Reducing a quadratic equation to a reduced quadratic equation"Start
- "Finding the sum and product of the roots of a reduced quadratic equation"Start
- "Finding the roots of a reduced quadratic equation using the selection method"Start
- Factoring a quadratic trinomial into linear factorsStart
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- Introduction of notation in biquadratic equationsStart
- Finding the roots of a biquadratic equationStart
- "Introduction of notation in equations reducible to quadratic equations"Start
- "Finding the roots of equations reducible to quadratic equations"Start
- Solving problems using quadratic equationsStart
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- PolygonsStart
- Properties of interior angles of polygonsStart
- Properties of external angles of polygonsStart
- Parallelogram and its propertiesStart
- Angles in a parallelogramStart
- Signs of a parallelogramStart
- Rectangle and its propertiesStart
- Angles in a rectangleStart
- Square and its propertiesStart
- Angles in a squareStart
- Rhombus and its propertiesStart
- Angles in a rhombusStart
- Trapezium and its typesStart
- Angles in a trapezoidStart
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- Fundamental trigonometric identityStart
- Trigonometric identitiesStart
- Additional anglesStart
- "Calculation of sine, cosine, tangent and cotangent of an angle of 30 degrees"Start
- "Calculation of sine, cosine, tangent and cotangent of an angle of 45 degrees"Start
- "Calculation of sine, cosine, tangent and cotangent of an angle of 60 degrees"Start
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- Finding trigonometric functions given an angleStart
- Finding an angle using a trigonometric functionStart
- Solving a triangle by hypotenuse and acute angleStart
- Solving a triangle using a leg and an acute angleStart
- Solving a triangle by hypotenuse and legStart
- Solving a triangle on two sidesStart
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- Vector conceptStart
- Vector coordinatesStart
- Multiplying a vector by a numberStart
- Vector additionStart
- Opposite vectorsStart
- Vector subtractionStart
- Finding the length of a vectorStart
- Dot product of vectorsStart
- Equality of vectorsStart
- Collinearity of vectorsStart
- Triangle ruleStart
- Parallelogram ruleStart
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- Circle. Radius, diameter and chordStart
- The relative position of a straight line and a circleStart
- Tangent to a circleStart
- The relative position of two circlesStart
- Central angleStart
- Degree measure of arcStart
- Inscribed angleStart
- Angle between tangent and chordStart
- Angles formed by the intersection of two chordsStart
- "The angle between two secants drawn from the same point outside the circle"Start
- Properties of two tangents drawn from one point to a circleStart
- Chord of a circleStart
- Diameter of circleStart
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