Introduction

Explore how some quantities can be split into equal groups with a remainder, and express this using mathematical notation; practise interpreting the meaning of the remainder in different contexts.

Teaching points

• Teaching point 1: Objects can be divided into equal groups, sometimes with a remainder; objects can be shared equally, sometimes with a remainder; a remainder can be represented as part of a division equation.
   
• Teaching point 2: If the dividend is a multiple of the divisor, there is no remainder; if the dividend is not a multiple of the divisor, there is a remainder. The remainder is always less than the divisor.
   
• Teaching point 3: When solving contextual problems involving remainders, the answer to a division calculation must be interpreted carefully to determine how to make sense of the remainder.