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Comprehensive Maths Curriculum for Bulgarian Schools: Grades 1 to 8

This detailed overview of the mathematics curriculum in Bulgarian schools covers essential topics from 1st to 8th grade. Students learn foundational concepts including numbers from 0 to 1000, basic operations (addition, subtraction, multiplication, division), and more advanced topics like fractions, decimals, and geometry. Each grade introduces key mathematical skills, such as understanding geometric figures, rational numbers, and linear equations, ensuring a progressive and comprehensive education in mathematics.

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Comprehensive Maths Curriculum for Bulgarian Schools: Grades 1 to 8

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  1. MATHS CURRICULA IN BULGARIAN SCHOOLS

  2. 1ST GRADE • Numbers from 0 to 10 • addition and subtraction • Numbers from 11 to 20 • writing and counting • Rectangle • identification • Line segment • Drawing a line segment

  3. 2ND GRADE • Numbers from 21 to 100 -addition and subtraction • Multiplication and division tables -concepts (multiplier/multiplicand; divisible/divisor; even/odd numbers) sequence of the 4 rules of arithmetic • Triangles -identification of types

  4. 3RD GRADE • Real numbers up to 1000 • 3 digit numbers -addition and subtraction -multiplication and division • Geometric figures – identification -straight line and curve; angles – vertex and sides; types of triangles • Measures of length (mm - km); mass (gram, ton ); time (century, second)

  5. 4th Grade • Real numbers above 1000 addition and subtraction multiplication and division • 4, 5, 6 digit numbers, a long figure • Decimal positional cardinal system • Roman numerals • Geometric figures – concepts of circumference, center, radius, degrees

  6. 5th GRADE • Fractions, decimals, decimal comma • Sum and difference of segments • Geometric figures and solids • Drawing of triangles and quadrangles • Distance from a point to a straight line • Right-angled parallelepiped and cube • Perimeter and area of a triangle, a rectangle and a square

  7. 5th GRADE • Divisible • Prime number and complex number, LMC and the greatest common divisor • Fractions • Operations • Number line • Transformation of a fraction into a decimal • Percent – presenting the correlation of two numbers by percentage

  8. 6th GRADE • Powers • Rational numbers • Operations • Number line • Descartes’s coordinate system • Symbols: <; =; >; <=; >=; =/= • Geometric figures and solids • Polygon, circumference and circle;prism and regular pyramid; cone and cylinder; sphere and globe • Proportions. Nominal

  9. 7th GRADE • Integer expressions • Identical expressions, Identities, common multiplier • Basic geometric figures • Median, line of symmetry; types of angles:upright, acute, obtuse, adjacent, exterior • Equation • Linear equation, unknown quantity, root of equation, modular equation

  10. 7th GRADE • Identical triangles • inequalities • Digital inequality, solving linear inequality with oneex • Rectangle, trapezium • Adjacent and opposite angles • Isosceles trapezium

  11. 8th GRADE • Square root, irrational • Quadratic equation • Vectors. Median of a triangle. Median of trapezium • Functions • Linear function, admissible values, graph • Identities

  12. 8th GRADE • Systems of linear equations with two unknown quantities • Systems of linear inequalities with one unknown quantity • Circumference and polygon • A point and a circumference • A straight line and a circumference • Two circumferences

  13. Thank you for your attention!

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