NUMBER

Special types of number

Special types of number:

  • Integers / Real numbers

  • Rational / Irrational numbers

  • Square (and square root) / Cube numbers

  • Prime numbers


Primes, factors and multiples

Primes, factors, multiples:

  • Rules to find prime numbers

  • Multiples and factors

  • Prime factors

  • Expressing a number in terms of its prime factors


Divisibility test

Finding Primes: Testing a number is divisible:

  • Working out is a number will divide by another using Divisibility Tests

  • How to determine if a number is a prime using divisibility tests including The Sieve of Eratosthenes

LCM and HCF: Finding common ground

LCM and HCF: Finding common ground:

  • How to find the Highest Common Factor (HCF) in a list of numbers

  • How to find the Lowest Common Multiple (LCM) in a list of numbers

  • What at Venn diagram is

  • Use Prime Decomposition to find the HCF and LCM of at least 2 numbers

Fractions, Decimals and Percentages

The Big 3: Fractions, decimals and percentages:

  • How to describe the value of something less than 1 using The Big 3

  • How to convert between The Big 3

  • How to add, subtract, multiply and divide fractions

  • What equivalent, improper and mixed number fractions are

Patterns and sequences

Patterns and sequences:

  • What is a number pattern and sequence

  • How to define a sequence

  • How to find the nth term of a sequence

  • Determining if a term is a sequence

Powers (aka indices)

Powers (aka indices):

  • What is a 'power'?

  • Why are they useful?

  • The Three Power Rule: multiplying, dividing and raising a power

BIDMAS

Order of operation (BIDMAS):

  • When given an expression to evaluate (work out the answer), where do you start?

  • There is a definite order of working things out. The order has the acronym BIDMAS to help you remember

    1. Brackets

    2. Indices (power)

    3. Division / Multiplication

    4. Addition / Subtraction

What you need to know