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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Calculate square roots

Calculate the square root or nearest integer to the square root for the given numbers

Cube roots

Identify the cube root or nearest integer cube root of each of the given numbers

Multiply indices

Multiply indices with the same base by adding powers e.g. 5a³ x 6a² = 30a⁵

Divide Indices

Divide indices with the same base by subtracting powers e.g. 6b⁵ ÷ 2b² = 3b³

Identify multiples of numbers to 12

Identify multiples of numbers up to 12

LCM using product notation

Identify the lowest common multiple (LCM) of 2 numbers using product notation

HCF using product notation

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

Prime factors

Identify the prime factors of each given number using product notation

Standard form: largest number

Compare numbers in standard form and identify the largest

Standard form: smallest number

Compare numbers in standard form and identify the smallest

Standard form: add and subtract

Add or subtract numbers in standard form

Standard form: multiply and divide

Multiply or divide numbers in standard form

Add mixed fractions

Add mixed fractions by converting them to improper fractions. Give your answers as improper fractions

Subtract fractions: mixed

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

Multiply mixed fractions

Multiply mixed fractions by turning them to improper fractions and multiplying across; answers as improper fractions

Divide mixed fractions

Divide mixed fractions by turning them top-heavy then flipping signs and the second fraction; answers as improper fractions

Percentage change

Compare two quantities to work out the percentage increase or decrease

Find percentages: multiples of 5

Find percentages using multiples of 5

Find percentages: units and decimals

Find percentages using units and decimals

Find percentages: simple multiplier

Find the quantity using a simple decimal multiplier

Find percentages: medium multiplier

Find the quantity using a medium decimal multiplier

Find percentages: advanced multiplier

Find the quantity using an advanced decimal multiplier

Round decimals to 1 dp

Round each of the given decimal values to 1 decimal place (1 dp)

Round decimals to 2 dp

Round each of the given decimal values to 2 decimal places (2 dp)

Round decimals to 3 dp

Round each of the given decimal values to 3 decimal places (3 dp)

Round numbers to 1 sig fig

Round large and small numbers to 1 significant figure (1 sig fig / 1 s.f.)

Round numbers to 2 sig figs

Round large and small numbers to 2 significant figures (2 sig figs / 2 s.f.)

Round numbers to 3 sig figs

Round large and small numbers to 3 significant figures (3 sig figs)

Estimate by rounding to 1 s.f.

Use rounding to 1 significant figure (1 sig fig / 1 s.f.) to estimate answers to the given calculations

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