Chapter 1: Numbers

- Integers
- - The notion of integer
- - Ordering integers
- - Sum, difference, product and factors
- - Divisors
- - Order of operations
- - Factorization
- - Prime numbers
- - Factorization in prime numbers
- - Division with remainder
- Negative numbers
- - Negative numbers
- - Absolute value
- Fractions
- - Fractions
- - Equivalent fractions
- - Simplifying fractions
- - Addition and subtraction of fractions
- - Multiplication and division of fractions
- - Integer powers of fractions
- - Decimal numbers
- Powers and roots
- - Powers
- - Integer powers of fractions
- - Calculating with powers
- - Negative exponents
- - Roots
- - Rules of calculation for roots
- - Roots of fractions
- - Standard form of powers
- - Higher degree roots
- - Rules of calculation for higher degree roots
- - Standard form of higher degree roots
- - Order of operations with powers and roots
- - Irrational numbers
- Decimal numbers
- - Calculating with decimal numbers
- - Rounding/approximating of decimal numbers
- - Decimal numbers on the number line

Chapter 2: Algebra

- Variables
- - Variables
- - Sum and product of variables
- - Substitution
- - Simplification
- - Simplification with algebraic rules
- Calculating with exponents and roots
- - Integer powers
- - Calculating with integer exponents
- - Square roots
- - Calculating with square roots
- - Higher degree roots
- - Calculating with fractional exponents
- - Order of operations
- Expanding brackets
- - Expanding brackets
- - Expanding double brackets
- Factorization
- - Factoring out
- - Factorization
- Notable products
- - The square of a sum or a difference
- - The difference of two squares
- Adding and subtracting fractions
- - Fractions
- - Simplifying fractions
- - Addition and subtraction of like fractions
- - Making fractions similar
- - Addition and subtraction of fractions
- - Multiplication of fractions
- - Division of fractions
- - Fraction decomposition

Chapter 3: Linear functions and equations

- Formulas
- - Formula
- - Dependent and independent variables
- - Graphs
- Linear functions
- - Linear formula
- - Slope and intercept
- - Composing a linear formula
- - Parallel and intersecting linear formulas
- Linear equations and inequalities
- - Linear equations
- - The general solution of a linear equation
- - Intersection points of linear formulas with the axes
- - Intersection points of two linear formulas
- - Linear inequalities
- - General solution of a linear inequality

Chapter 4: Systems of linear equations

- An equation of a line
- - A linear equation with two unknowns
- - Solution linear equation with two unknowns
- - The equation of a line
- - Composing the equation of a line
- Two equations with two unknowns
- - Systems of linear equations
- - Solving systems of linear equations by substitution
- - Solving systems of equations by elimination
- - General solution system of linear equations

Chapter 5: Quadratic equations

- Parabola
- - Quadratics
- - Parabola
- Solving quadratic equations
- - Quadratic equations
- - Solving quadratic equations by factorization
- - Solving quadratic equations by completing the square
- - The quadratic formula
- Drawing parabolas
- - Intersection of parabolas with the axes
- - Vertex of a parabola
- - Drawing of parabolas
- - Transformations of parabolas
- Intersection points of parabolas
- - Intersection points of a parabola with a line
- - Intersection points of parabolas
- Quadratic inequalities
- - Quadratic inequalities

Chapter 6: Functions

- Domain and range
- - Function and formula
- - Function rule
- - Intervals
- - Domain
- - Range
- Power functions
- - Power functions
- - Transformations of power functions
- - Equations with power functions
- Higher degree polynomials
- - Polynomials
- - Equations with polynomials
- - Solving higher degree polynomials with factorization
- - Solving higher degree polynomials with the quadratic equation
- - Higher degree inequalities
- Power functions and root functions
- - Root function
- - Transformations of root functions
- - Root equations
- - Solving root equations with substitution
- - Inverse functions
- Fractional functions
- - Asymptotes and hyperbolas
- - Power functions with negative exponents
- - Transformations of power functions with negative exponents
- - Linear fractional functions
- - Linear fractional equations
- - Inverse of linear fractional functions
- - Quotient functions

Chapter 7: Exponential functions and logarithms

- Exponential functions
- - The exponential function
- - Exponential equations
- - Transformations of the exponential function
- Logarithmic functions
- - The logarithmic function
- - Logarithmic equations
- - Exponential equations
- - Isolating variables
- - Rules for logarithms
- - More logarithmic equations
- - Change of base
- - Solving equations using substitution
- - Graph of logarithmic functions
- - Transformations of the logarithmic function

Chapter 8: Trigonometry

- Sinus, cosinus en tangens
- - Angles
- - Triangles
- - Rules for right-angled triangles
- - Angles in radians
- - Symmetry in the unit circle
- - Special values of trigonometric functions
- - Addition formulas for trigonometric functions
- - Sine and cosine rule
- Trigonometric functions
- - Trigonometric functions
- - Transformations of trigonometric functions
- - Inverse trigonometric functions
- - Trigonometric equations 1
- - Trigonometric equations 2

Chapter 9: Differentiation

- The derivative
- - The difference quotient
- - The difference quotient at a point
- - The tangent line
- - The notion of derivative
- The derivative of power functions
- - The derivative of power functions
- Sum and product rule
- - The sum rule
- - The product rule
- Chain rule
- - Composite functions
- - The chain rule
- The derivative of standard functions
- - The derivative of trigonometric functions
- - The base e and the natural logarithm
- - The derivative of exponential functions and logarithms
- Quotient rule
- - The quotient rule
- Applications of derivatives
- - Increasing and decreasing
- - Extreme values
- - The second derivative
- - Types of increasing and decreasing
- - Inflection points
- - Higher order derivatives

Chapter 10: Integration

- Antiderivative function
- - The antiderivative of a function
- - The antiderivative of a power function
- - Rules of calculation for antiderivatives
- - Antiderivatives of some known functions
- - Antiderivatives and the chain rule
- Introduction integration
- - Definite integral
- - Area
- - Area of a surface between curves
- - Solid of revolution
- Integration techniques
- - Substitution method
- - Trigonometric integrals
- - Integration by parts
- - Repeated integration by parts
- - Known antiderivatives of some quotient functions
- - Long division with polynomials
- - Finding the antiderivatives of quotient functions 1
- - Finding the antiderivatives of quotient functions 2