OMPT-C Syllabus

Chapter 1: Numbers (17 topics)

1. Integers (3 topics)

1. Calculating with integers
2. Integers
3. Division of integers

2. Negative numbers (1 topic)

1. Absolute value

3. Fractions (7 topics)

1. Fractions
2. Equivalent fractions
3. Simplifying fractions
4. Addition and subtraction of fractions
5. Multiplication and division of fractions
6. Integer powers of fractions
7. Decimal numbers

4. Powers and roots (6 topics)

1. Exponents
2. Calculating with powers
3. Roots of integers
4. Roots of fractions
5. Standard notation of higher roots
6. Order of operations for powers and roots

Chapter 2: Algebra (28 topics)

5. Variables (6 topics)

1. Variables
2. Sum and product of variables
3. Substitution
4. Simplification of multiplications
5. Simplification of additions and subtractions
6. Simplification with algebraic rules

6. Calculating with exponents and roots (7 topics)

1. Integer powers
2. Rules for calculating with integer exponents
3. Square roots
4. Rules for calculating with square roots
5. Higher degree roots
6. Calculating with fractional exponents
7. Order of operations

7. Expanding brackets (2 topics)

1. Expanding single brackets
2. Expanding double brackets

8. Factorization (2 topics)

1. Factorization
2. Product sum method

9. Notable products (2 topics)

1. The square sum of a sum or a difference
2. The difference of two squares

10. Adding and subtracting fractions (9 topics)

1. Fractions with variables
2. Similar fractions
3. Simplifying fractions
4. Addition and subtraction of like fractions
5. Making fractions similar
6. Addition and subtraction of fractions
7. Multiplication of fractions
8. Division of fractions
9. Fraction decomposition

Chapter 3: Linear formulas and equations (17 topics)

11. Formulas (3 topics)

1. Formulas
2. Dependent and independent variables
3. Graph of a formula

12. Linear functions (6 topics)

1. Linear formulas
2. Slope
3. Determining the slope from two points
4. Intercept
5. Composing a linear formula
6. Parallel and intersecting linear formulas

13. Linear equations and inequalities (8 topics)

1. Linear equations
2. Equivalent linear equations
3. The general solution of a linear equation (rules of reduction)
4. Intersection points of linear formulas with the axes
5. Intersection point of two linear formulas
6. Linear inequalities
7. Equivalent inequalities
8. General solution of a linear inequality

Chapter 4: Geometry (4 topics)

1. Some notions on lines
2. Angles
3. Triangles
4. Pythagorean theorem