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Formulas

Percent, ratio and scale, grade 6
Percent, ratio, scale
Measures and solids, grade 6
Circle, disc, volumes
Data and chance, grade 6
Relative frequency, the mean, chance
Algebra, grade 7
Signed numbers, powers, the distributive law
Geometry, grade 7
Angles, areas, the box
Data and probability, grade 7
Relative frequency, probability
Algebra, grade 8
The linear function, slope, inequalities
Geometry, grade 8
Parallel lines, Pythagoras, similar triangles
Circle and solids, grade 8
Circle, cylinder, cone
Ratio, proportion and percent, grade 8
Proportion, scale, percent change
Data and probability, grade 8
The mean, the median, probability
Algebra, grade 9
Powers, roots, short multiplication, the parabola, the quadratic formula
Geometry, grade 9
Triangles, parallel lines, quadrilaterals, areas
Probability, grade 9
Probability, the complement, relative frequency, two-stage experiments
Science and society, grade 10 (3 units)
The weighted mean, grouped data, probability
The plane and space, grade 10 (3 units)
Perimeters, routes, areas, tilings
Finance and economics, grade 10 (3 units)
Discounts and VAT, a linear model, profit and loss, wages
Geometry, grade 10 (4 units)
Analytic geometry, similarity, trigonometry, special lines in a triangle
Algebra and calculus, grade 10 (4 units)
Transformations, the rules of differentiation, the tangent line, extremum points
Statistics and probability, grade 10 (4 units)
Tables and charts, measures of centre and spread, conditional probability
Geometry, grade 10 (5 units)
Lines and circles, Thales’ theorem, similarity, the circle
Calculus, grade 10 (5 units)
Polynomials, the definition of the derivative, the rules of differentiation, square root and rational functions
Trigonometry, grade 10 (5 units)
The unit circle, graphs, trigonometric equations, the laws of sines and cosines
Science and society, grade 11 (3 units)
Growth and decay, the standard deviation, conditional probability, expected value
The plane and space, grade 11 (3 units)
Scale, similar shapes, trigonometry
Finance and economics, grade 11 (3 units)
Growth and decay, the standard deviation, quartiles and deciles
Geometry, grade 11 (4 units)
The circle and its equation, angles in a circle, the law of sines, tangents
Calculus, grade 11 (4 units)
The rational function, the quotient rule, investigating a function, integrals and areas
Statistics, grade 11 (4 units)
The standard score, the normal distribution and the Φ table, the correlation coefficient, the regression line
Sequences and induction, grade 11 (5 units)
Arithmetic and geometric sequences, the infinite geometric sequence, sum formulas, the laws of powers
Integral calculus, grade 11 (5 units)
Basic integrals, the accumulation function, trigonometric integrals, areas
Calculus, grade 11 (5 units)
The second derivative, concavity and inflection points, roots, radians and the derivatives of the trigonometric functions
Probability, grade 11 (5 units)
The rules of probability, conditional probability and independence, Bernoulli’s formula
Trigonometry, grade 11 (5 units)
Identities of sums and of the double angle, the general solutions, the laws of sines and of cosines, solids
Science and society, grade 12 (3 units)
A quadratic model, the normal distribution, the standard score
The plane and space, grade 12 (3 units)
The volume and surface area of solids, diagonals and distances, angles in solids
Finance and economics, grade 12 (3 units)
Revenue as a parabola, linear programming, analytic geometry, the normal distribution
Exponential and logarithmic functions, grade 12 (4 units)
Powers and logarithms, growth and decay, derivatives, integrals and the area
Space geometry and vectors, grade 12 (4 units)
Lines and planes, the prism and the pyramid, vectors, the scalar product
Sequences, grade 12 (4 units)
Arithmetic sequence, geometric sequence, infinite geometric sequence
Vectors, grade 12 (5 units)
Solids in space, vectors, the scalar product, the line and the plane, distances and angles
Analytic geometry, grade 12 (5 units)
Dividing a segment, a point’s distance from a line, circle, parabola, ellipse, hyperbola
Exponential and logarithmic functions, grade 12 (5 units)
Powers and logarithms, change of base, growth and decay, derivatives, integrals and accumulation
Complex numbers, grade 12 (5 units)
The algebraic and the polar form, the modulus and the conjugate, De Moivre’s theorem, roots of order n and loci
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