| Course Objectives: |
The main objective of this course is to teach students the fundamental mathematical concepts (number systems, equations, inequalities, ratio-proportion, exponents-radicals) that support their problem-solving and algorithmic thinking skills, and to enable them to use these concepts in problem-solving applications. |
| Course Content: |
It covers fundamental concepts (natural numbers, integers, order of operations, division-divisibility, GCD-LCM), rational and decimal numbers, first-degree equations with one and two variables, simple inequalities and absolute value, exponents, radicals, factorization and identities, ratio and proportion, and problems based on these topics (number-fraction, age, percentage, profit-loss, mixture).
|
| Week |
Subject |
Related Preparation |
| 1) |
Fundamental Concepts (Natural Numbers, Integers, Digits), Order of Operations, Consecutive Numbers, Factorial
|
- |
| 2) |
Prime Numbers, Prime Factorization, Integer Divisors, Division |
- |
| 3) |
Divisibility Rules, GCD (EBOB) and LCM (EKOK)
|
- |
| 4) |
Rational Numbers, Decimal Numbers, Four Operations and Ordering
|
- |
| 5) |
First-Degree Equations with One Variable
|
- |
| 6) |
First-Degree Equations with Two Variables |
- |
| 7) |
Simple Inequalities and Absolute Value |
- |
| 8) |
Midterm Exam |
- |
| 9) |
Exponents (Properties, Four Operations, Equations) |
- |
| 10) |
Radicals (Properties, Four Operations, Conjugates) |
- |
| 11) |
Factorization and Identities (Difference of Two Squares, Perfect Square, Cube Expansions) |
- |
| 12) |
Ratio and Proportion (Direct, Inverse Proportion), Averages |
- |
| 13) |
Number and Fraction Problems, Age Problems |
- |
| 14) |
Percentage, Profit-Loss Problems, Mixture and Interest Problems, General Review |
- |
| 15) |
Final Exam |
- |