🔢 Numbers and operationsReady
Natural numbers, addition, subtraction, multiplication and division.
🔷 GeometryReady
Adjacent supplementary and vertically opposite angles, parallel lines and transversals.
🔢 Numbers and operationsLocked
Divisibility rules for 2, 3, 4, 5, 9, 10 and division with a remainder.
Prerequisites:Natural numbers and operations 🎲 Combinatorics, statistics and probabilityLocked
The product and sum rules, ordered selections, permutations and combinations.
Prerequisites:Natural numbers and operations 🔷 GeometryLocked
The angle sum of a triangle, isosceles triangles, congruence and similarity.
Prerequisites:Angles and parallel lines 🔢 Numbers and operationsLocked
Prime and composite numbers, prime factorization, GCD and LCM.
Prerequisites:Divisibility and remainders 🎲 Combinatorics, statistics and probabilityLocked
The expansion of (a+b)^n, Pascal’s triangle and binomial coefficients.
Prerequisites:Combinatorics fundamentals 🎲 Combinatorics, statistics and probabilityLocked
The probability of an event P(A) = m / n, unions and intersections of events.
Prerequisites:Combinatorics fundamentals 🔷 GeometryLocked
Properties of parallelograms, rhombuses, rectangles, squares and trapezoids.
Prerequisites:Triangles and their types 🔷 GeometryLocked
Radius, diameter, chord, tangent, central and inscribed angles.
Prerequisites:Triangles and their types 🔢 Numbers and operationsLocked
The four arithmetic operations with fractions, decimals and recurring decimals.
Prerequisites:GCD, LCM and prime numbers 🔷 GeometryLocked
Areas of triangles (Heron’s formula), quadrilaterals and circles.
Prerequisites:Triangles and their typesQuadrilaterals and polygonsCircles and disks 🔢 Numbers and operationsLocked
Negative numbers, the number line, absolute value and operations with rational numbers.
Prerequisites:Fractions and decimals 🔢 Numbers and operationsLocked
Percentages of numbers, percentage problems, direct and inverse proportion.
Prerequisites:Negative and rational numbers 📐 Algebraic expressionsLocked
Monomials, polynomials, collecting like terms and multiplying polynomials.
Prerequisites:Negative and rational numbers 🎲 Combinatorics, statistics and probabilityLocked
Arithmetic mean, mode, median, range and variance.
Prerequisites:Negative and rational numbers 📐 Algebraic expressionsLocked
Difference of squares, and the square and cube of a sum or difference.
Prerequisites:Monomials and polynomials ⚖️ Equations and inequalitiesLocked
Linear equations in one unknown and solving related problems.
Prerequisites:Monomials and polynomials 📐 Algebraic expressionsLocked
Taking out common factors, grouping and factorization.
Prerequisites:Special product identities ⚖️ Equations and inequalitiesLocked
Linear systems in two unknowns, substitution and elimination.
Prerequisites:Linear equations ⚖️ Equations and inequalitiesLocked
The discriminant, complete and incomplete quadratic equations, and root formulas.
Prerequisites:Linear equationsSpecial product identities ⚖️ Equations and inequalitiesLocked
Methods for handling absolute values in equations and inequalities.
Prerequisites:Linear equationsNegative and rational numbers ⚖️ Equations and inequalitiesLocked
Inequalities in one unknown and intervals on the number line.
Prerequisites:Linear equations 📈 Functions and graphsLocked
Functions, domains, ranges, and even and odd functions.
Prerequisites:Linear equations 🔄 Sequences and progressionsLocked
The nth term of an arithmetic sequence and the sum of its first n terms.
Prerequisites:Linear equations 📐 Algebraic expressionsLocked
Properties of roots, irrational expressions and rationalizing denominators.
Prerequisites:Factorization 📐 Algebraic expressionsLocked
Simplifying algebraic fractions and performing operations with them.
Prerequisites:Factorization ⚖️ Equations and inequalitiesLocked
The sum and product of roots, and factoring quadratic trinomials.
Prerequisites:Quadratic equations ⚖️ Equations and inequalitiesLocked
Quadratic inequalities and the general sign-chart method.
Prerequisites:Quadratic equationsLinear inequalities 📈 Functions and graphsLocked
The function y = kx + b, slope and straight-line graphs.
Prerequisites:Functions, domains and ranges 📈 Functions and graphsLocked
The vertex, axis of symmetry, zeros and graph of a parabola.
Prerequisites:Functions, domains and rangesQuadratic equations 📐 Algebraic expressionsLocked
Properties of powers with rational and real exponents.
Prerequisites:Principal square root 🔷 GeometryLocked
Right-angled triangles, legs, the hypotenuse and the Pythagorean theorem.
Prerequisites:Triangles and their typesPrincipal square root ⚖️ Equations and inequalitiesLocked
Equations with an unknown in the denominator, extraneous roots and domain restrictions.
Prerequisites:Quadratic equationsAlgebraic fractions ⚖️ Equations and inequalitiesLocked
Exponential equations and substitution of a new variable.
Prerequisites:Powers with real exponentsQuadratic equations 📈 Functions and graphsLocked
Differentiation rules for sums, products, quotients and composite functions.
Prerequisites:Functions, domains and rangesPowers with real exponents 🔄 Sequences and progressionsLocked
The common ratio, nth term and sum of the first n terms of a geometric sequence.
Prerequisites:Arithmetic sequencesPowers with real exponents 🔷 GeometryLocked
Sine, cosine, tangent, cotangent, basic identities and reduction formulas.
Prerequisites:Pythagorean theorem 🔷 GeometryLocked
Volumes and total surface areas of prisms, pyramids, cylinders, cones and spheres.
Prerequisites:Areas of shapesPythagorean theorem ⚖️ Equations and inequalitiesLocked
The definition of a logarithm, the basic logarithmic identity and the change-of-base formula.
Prerequisites:Exponential equations and inequalities 📈 Functions and graphsLocked
Tangent equations, increasing and decreasing intervals, and maximum and minimum points.
Prerequisites:Derivatives: definition and standard formulas 📈 Functions and graphsLocked
Standard antiderivatives, the Newton–Leibniz formula and the area under a curve.
Prerequisites:Derivatives: definition and standard formulas 🔄 Sequences and progressionsLocked
When |q| < 1, the sum of the infinite series is S = b1 / (1 - q).
Prerequisites:Geometric sequences 🔷 GeometryLocked
Cartesian coordinates, vector operations and the dot product.
Prerequisites:Pythagorean theoremTrigonometry fundamentals ⚖️ Equations and inequalitiesLocked
Logarithmic equations, domain restrictions and logarithmic inequalities.
Prerequisites:Logarithms and their properties