Mutliplication – Equal Groups

Mutliplication – Equal Groups

🎯 Aim of the Game

To help children understand multiplication by recognising and making equal groups, and to develop confidence in writing multiplication sentences.


National Curriculum Objectives

Year 3 Multiplication and Division – Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.


🎲 What You’ll Need


📖 How to Play

Version 1: Using Dice to Create Groups

  1. Roll each dice once to see how many groups you need and how many counters go into each group.
  2. Build the groups using counters (e.g. 6 groups of 2).
  3. Write a multiplication sentence in words to match (e.g. There are 6 equal groups with 2 in each group).
  4. Flip the dice around to show commutativity (e.g. 2 groups of 6).
  5. Write the new multiplication sentence (e.g. There are 2 equal groups with 6 in each group).
  6. Add up the total number of counters to check your answer.

Version 2: Starting with the Total

  1. Give children a set number of counters (e.g., 10 counters).
  2. Ask them to find as many ways as possible to make equal groups.
    • Example: 5 groups of 2 and 2 groups of 5.
  3. Write down all the matching multiplication sentences.
  4. Discuss why sentences are different but give the same product.

🌟 Educational Benefits

  • Builds a concrete understanding of multiplication as repeated addition.
  • Reinforces the idea of equal groups as the foundation of multiplication.
  • Develops use of correct mathematical vocabulary (“groups of…”, “in each group”).
  • Strengthens understanding of commutativity in multiplication (e.g., 6 × 2 = 2 × 6).
  • Encourages children to represent multiplication in different ways (using objects, arrays, and sentences).
  • Supports reasoning skills by exploring different groupings of the same total.
  • Links directly to the Year 2–3 multiplication objectives in the National Curriculum.