Introduction

Build up the seven times table and solve associated multiplication and division problems; explore times table patterns including generalising about the product in terms of odd/even factors, reviewing divisibility rules, and exploring square numbers.

Teaching points

• Teaching point 1: Counting in multiples of seven can be represented by the seven times table. Adjacent multiples of seven have a difference of seven. Facts from the seven times table can be used to solve multiplication and division problems with different structures.
   
• Teaching point 2: When both factors are odd numbers, the product is an odd number; when one factor is an odd number and the other is an even number, the product is an even number; when both factors are even numbers, the product is an even number.
   
• Teaching point 3: When both factors have the same value, the product is called a square number; square numbers can be represented by objects arranged in square arrays.
   
• Teaching point 4: Divisibility rules can be used to find out whether a given number is divisible (to give a whole number) by particular divisors.