To help children understand squared and cubed numbers by physically building them, so they can clearly see what these calculations mean and how square and cube numbers differ.
What You Need
Duplo, Lego or Multilink cubes (or any small connecting cubes)
A spinner or cards labelled “Squared” and “Cubed”
Number cards (e.g. 1–5 or 1–10, depending on ability)
Paper and pencil for recording calculations
How to Play
Introduce the concept Explain that:
Square numbers are made by multiplying a number by itself and form a flat square.
Cube numbers are made by multiplying a number by itself three times and form a 3D cube.
Model an example
Take the number 3.
For 3², children build a 3 by 3 square using cubes (3 cubes long and 3 cubes wide). When they count the cubes, they see that 3² = 9.
To show 3³, they build the same square but make it 3 cubes tall, creating a cube. Counting all the cubes shows that 3³ = 27.
Play the game
Players pick a number card.
Player 1 spins the spinner to see whether they must square or cube the number.
They build the number using cubes and record their calculation and answer.
Player 2 automatically does the other operation (if Player 1 squared, Player 2 cubes).
Both players compare their answers.
Winning the game
The player with the larger answer wins the round.
Play several rounds using different numbers.
Educational Benefits
Builds a strong visual and physical understanding of squared and cubed numbers
Helps children see that square numbers form flat shapes and cube numbers are 3D
Reinforces multiplication through hands-on learning
Encourages mathematical discussion and reasoning
Helps children notice patterns, such as cube numbers always being larger than square numbers.
Supports different learning styles, especially kinaesthetic and visual learners
