   ## Number syllabus for 8th grade

Here are some key aspects of the math curriculum for Number for students aged 13 to 14:

1. Rational Numbers: Students further explore rational numbers, including fractions, decimals, and integers. They extend their skills in performing operations with rational numbers and apply them to solve real-world and mathematical problems. They deepen their understanding of the relationships between different types of rational numbers.

2. Irrational Numbers: Students are introduced to irrational numbers, such as the square root of non-perfect square numbers and pi. They explore the concept of irrational numbers and their decimal representations. They learn about the properties of irrational numbers and their relationship with rational numbers.

3. Exponents and Scientific Notation: Students extend their knowledge of exponents and scientific notation. They explore larger and smaller numbers and learn to express them using powers of 10 and scientific notation. They perform operations with numbers in scientific notation and apply them to solve problems involving very large or very small quantities.

4. Order of Operations: Students reinforce their understanding of the order of operations in more complex expressions. They apply the rules of parentheses, exponents, multiplication, division, addition, and subtraction to solve numerical and algebraic expressions. They explore the concept of nested parentheses and apply the order of operations to simplify expressions.

5. Factors and Multiples: Students further explore the concepts of factors and multiples. They learn to find prime factors, use factor trees, and calculate the greatest common factor (GCF) and least common multiple (LCM) of numbers. They apply these concepts to solve problems involving divisibility, prime factorization, and number patterns.

6. Proportional Relationships: Students delve deeper into proportional relationships. They explore direct and inverse proportionality and apply them to solve problems involving rates, scale factors, and proportional reasoning. They analyze graphs, tables, and equations to understand and interpret proportional relationships.

7. Prime Numbers and Composite Numbers: Students continue to explore prime numbers and composite numbers. They learn to identify prime numbers and understand the concept of prime factorization. They analyze the properties of prime numbers and composite numbers and apply them in various mathematical contexts.

8. Number Systems: Students are introduced to different number systems beyond the integers. They explore rational and irrational numbers, as well as different bases, such as binary and hexadecimal. They learn to convert numbers between different bases and apply these concepts to solve problems.

9. Mathematical Notation and Symbols: Students develop their skills in understanding and using mathematical notation and symbols. They learn to interpret and write mathematical expressions, equations, and inequalities. They use appropriate mathematical symbols and language to communicate their reasoning and solutions effectively.

10. Problem-Solving and Mathematical Reasoning: Students engage in complex problem-solving tasks that require critical thinking, mathematical reasoning, and creative approaches. They apply their number skills in real-world scenarios and mathematical contexts, making connections between different areas of mathematics. They communicate their solutions clearly, using mathematical language, notation, and justifications.

Throughout the curriculum, students engage in hands-on activities, mathematical investigations, and problem-solving tasks to reinforce their understanding of numbers. They develop their skills in computation, estimation, logical reasoning, mathematical modeling, and mathematical communication.

## Number topics by sub-category

#### Number   →   Multiples Factors Primes   →   Factors

HCF using product notation

Identify the Highest Common Factor (HCF) using product notation for the given pairs of numbers

#### Number   →   Multiples Factors Primes   →   Primes

Prime factors

Identify the prime factors of each given number using product notation

#### Number   →   Fractions   →   Subtract fractions

Subtract fractions: mixed

Subtract mixed fractions by subtracting the whole numbers and the fraction parts separately

#### Number   →   Percentages   →   Using percentages

Percentage change

Compare two quantities to work out the percentage increase or decrease      END