Chapter 1: Numbers (17 topics)
- Integers (3 topics)
- Calculating with integers
- Integers
- Division of integers
- Negative numbers (1 topic)
- Absolute value
- Fractions (7 topics)
- Fractions
- Equivalent fractions
- Simplifying fractions
- Addition and subtraction of fractions
- Multiplication and division of fractions
- Integer powers of fractions
- Decimal numbers
- Powers and roots (6 topics)
- Exponents
- Calculating with powers
- Roots of integers
- Roots of fractions
- Standard notation of higher roots
- Order of operations for powers and roots
Chapter 2: Algebra (28 topics)
- Variables (6 topics)
- Variables
- Sum and product of variables
- Substitution
- Simplification of multiplications
- Simplification of additions and subtractions
- Simplification with algebraic rules
- Calculating with exponents and roots (7 topics)
- Integer powers
- Rules for calculating with integer exponents
- Square roots
- Rules for calculating with square roots
- Higher degree roots
- Calculating with fractional exponents
- Order of operations
- Expanding brackets (2 topics)
- Expanding single brackets
- Expanding double brackets
- Factorization (2 topics)
- Factorization
- Product sum method
- Notable products (2 topics)
- The square sum of a sum or a difference
- The difference of two squares
- Adding and subtracting fractions (9 topics)
- Fractions with variables
- Similar 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 formulas and equations (17 topics)
- Formulas (3 topics)
- Formulas
- Dependent and independent variables
- Graph of a formula
- Linear functions (6 topics)
- Linear formulas
- Slope
- Determining the slope from two points
- Intercept
- Composing a linear formula
- Parallel and intersecting linear formulas
- Linear equations and inequalities (8 topics)
- Linear equations
- Equivalent linear equations
- The general solution of a linear equation (rules of reduction)
- Intersection points of linear formulas with the axes
- Intersection point of two linear formulas
- Linear inequalities
- Equivalent inequalities
- General solution of a linear inequality
Chapter 4: Geometry (4 topics)
- Some notions on lines
- Angles
- Triangles
- Pythagorean theorem