SYLLABUS Mathematics ​Grades 6-7-8

Mathematics Exam Syllabus

1. The Four Operations
- Addition, Subtraction, Multiplication, and Division
- Properties of Operations
- Order of Operations

2. Decimals
- Place Value and Decimal Notation
- Decimal Operations: Addition, Subtraction, Multiplication, and Division
- Comparing and Rounding Decimals

3. Fractions and Mixed Numbers
- Understanding Fractions
- Equivalent Fractions and Simplification
- Adding, Subtracting, Multiplying, and Dividing Fractions
- Mixed Numbers and Improper Fractions

4. Ratios, Rates, Proportions
- Ratios and Rates
- Solving Proportions
- Proportional Relationships

5. Patterns and Sequences
- Recognizing Patterns
- Arithmetic Sequences
- Geometric Sequences

6. Rational Numbers
- Rational and Irrational Numbers
- Converting between Decimals and Fractions
- Operations with Rational Numbers

7. Three-Dimensional Figures
- Identifying 3D Shapes
- Volume and Surface Area of 3D Figures

8. Two-Dimensional Figures
- Properties of 2D Shapes
- Perimeter and Area of 2D Figures

9. Problem Solving and Estimation
- Problem-Solving Strategies
- Estimation Techniques
- Word Problems and Applications

10. Pythagorean Theorem
- Understanding the Pythagorean Theorem
- Applying the Theorem to Solve Problems