Chapter 1: Numbers

- Integers
- - The notion of integer
- - Calculating with integers
- - Divisors of integers
- - Division with remainder
- - Prime numbers
- - Greatest common divisor and least common divisor
- Rational numbers
- - The notion of rational number
- - Addition and subtraction of fractions
- - Multiplication and division of fractions
- - Ordering of rational numbers
- - Integer powers of fractions
- - Decimal numbers
- Roots
- - Roots of integers
- - Roots of fractions
- - Higher roots
- - Fractional powers
- - Absolute value
- Real numbers
- - Ordering of real numbers
- - The notion of real number
- - Ordering and decimal development
- - Approximations of real numbers
- - Calculating with real numbers
- - Applications of real numbers

Chapter 2: Algebra

- Arithmetic with variables
- - Order of operations
- - Calculating with powers
- - Expanding brackets
- - Moving terms outside brackets
- Notable products
- - Expanding brackets
- - The square of a sum or a difference
- - The difference of two squares
- Rational expressions
- - Simplifying fractions
- - Finding a common denominator
- Binomial Coefficient
- - Third and fourth powers of binomials
- - Pascal's triangle
- - Binomial coefficients and factorials
- - Binomial theorem and sigma notation
- - Applications of combinatorics
- Applications
- - Applications of algebra

Chapter 3: Linear equations with a single unknown

- Notion
- - The notion of linear equation
- - Solving by reduction
- - The general solution
- Variations
- - Fractional linear equations
- - Equations with absolute values
- - Substitution
- - Solving by factorization
- Applications
- - Applications of linear equations with a single unknown

Chapter 4: Systems of linear equations

- Simple systems of linear equations
- - The notion of parameter
- - The notion of system of equations
- - The linear equation of a line
- Two linear equations
- - Solving systems of equations by substitution
- - Solving systems of equations by elimination
- - Equations and lines
- Applications
- - Applications of systems of linear equations

Chapter 5: Quadratic equations

- Quadratic equations with one unknown
- - The notion of quadratic equation
- - The general solution to a quadratic equation
- Variations
- - Substitution
- - Fractional equations
- - Root equations
- - Case distinction
- Applications
- - Applications of quadratic equations