Four-in-a-Row Multiplication Game

by

Peter Aronson

Introduction

This is a little board game I designed to drill my kids on single-digit multiplication. It was designed for children who already knew how to multiply, but hadn't memorized their multiplication tables yet. It was reasonably popular with both my kids, and seemed to do them some good. It also teaches some spatial reasoning.

Equipment

The game requires the following equipment:

Rules of Play

This is a game for two players.

The Goal

The goal of the game is to be the first player to create three or more lines (horizontal, vertical or diagonal) of four of their markers in a row. A player is given a scoring token when they complete a line, so a player wins when they have three scoring tokens.

To Start

At the beginning of the game, the board is empty and neither player has any score markers. The cards are shuffled, and three cards are dealt to each player.

The Turn

On a player's turn, they either:

They then draw two cards, and end their turn. If the draw deck is exhausted, shuffle the discard pile and make it the new draw deck.

Scoring

Whenever a player completes a line of four markers in a row (left-right, up-down or diagonal) they score a point and remove all of the markers making up the four-in-a-row from the board. So if the Gray player were to place a token on the square with a 40 on it on the left side of the board (shown in white below) by playing an 8 card and a 5 card, then they would earn a scoring token, and their markers would be removed from the squares marked 81, 32, 72 and 40.

More than one four-in-a-row can be formed by a single move. If the Red player were to place a marker on the 40 near the center of the board (marked in blue), they would complete two four-in-a-rows at the same time, earning two scoring tokens.

Two or more four-in-a-rows can be formed by forming a single, longer line. If the Gray player were place a marker on the 20 near the center of the second from the bottom line (marked in white), they would form two four-in-a-rows: one covering 56-28-42-20, and one covering 28-42-20-28.

Lines can not contain gaps or opposing pieces. The Red marked squares on the right side of the board below do not form a four-in-a-row as the Gray piece on the 9 marked square prevents it.

Board with marked squares

Notes

Since the multiplication products on this game's board are not arranged as to allow the products to be determined by simple lookup (as in some multiplication games), this game requires the players to be able to perform single-digit multiplication to play. This is by intent, since this game was designed, among other things, to drill the players on their multiplication, to help them get to the point where they would know the product of any two single-digit numbers without having to think about it.

One possible issue with this game may be that the multiplication required is much easier than the strategy required to play well, and that a child young enough to need the single-digit multiplication drill, may not be old enough to enjoy the strategy game aspects.


WWW page created: January 18th, 2004.