**Core Concept 1.2**** **

**Properties of number**

1.2.1.1 Understand what a multiple is and be able to list multiples of n

**1.2.1.2***** ****Identify and explain whether a number is or is not a multiple of a given integer**

**1.2.1.2 Identify and explain whether a number is or is not a multiple of a given integer**

●Identify numbers which are and are not multiples of 2, 5 or 10.

●Identify numbers which are and are not multiples of 2, 4 or 8.

●Identify numbers which are and are not multiples of 3, 6 or 9.

●Make connections between multiples of integers that are 10 or less.

●Solve problems where there is more than one answer and there are elements of experimentation, investigation, checking, reasoning, proof, etc.

●Solve familiar and unfamiliar problems, including real-life applications.

1.2.2.1 Understand the concept of square and cube

1.2.2.2 Understand the concept of square root and cube root

1.2.2.3 Understand and use correct notation for positive integer exponents

1.2.2.4 Understand how to use the keys for squares and other powers and square root on a calculator

1.2.3.1 Understand what a factor is and be able to identify factors of positive integers

1.2.3.2 Understand what a prime number is and be able to identify prime numbers

1.2.3.3 Understand that a positive integer can be written uniquely as a product of its prime factors

**1.2.3.4***** ****Use the prime factorisation of two or more positive integers to efficiently identify the highest common factor**

1.2.3.5 Use the prime factorisation of two or more positive integers to efficiently find their lowest common multiple

**1.2.3.4 Use the prime factorisation of two or more positive integers to efficiently identify the highest common factor**

●Find the highest common factor of two numbers when they have been written as the product of their prime factors.

●Find the highest common factor of two numbers when they have been written as the product of their prime factors and simplified using indices.

●Find the highest common factor of a set of numbers when they have been written as the product of their prime factors in simplified form.

●Find the highest common factor of a pair of numbers when their prime factors are shown in a Venn diagram.

●Explore the most efficient methods of finding the highest common factor.

●Use prime factorisation to solve problems involving the highest common factor.