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Amazing Prime Numbers.

With most mathematical topics it is easy to inject an element of fun alongside the academic challenge. Prime Numbers has long been one of those topics that has few enjoyable aspects outside the academic satisfaction pupils derive from a set of successfully completed exercises. For those who find mathematics and number work difficult it remains a daunting topic. With this in mind these two worksheets were written with the intention of spicing up Prime Numbers!

The Prime Pirate Maze works on a variety of ability levels. It sustains interest in the work so an appropriate amount of consolidation on Primes is achieved and deflects away from the number crunching required. After a certain amount of time pupils start to recognise the "look" of a possible Prime without resorting to calculation. The more able would not be allowed the use of a calculator, and with some very low ability pupils the Prime Numbers could be written across the top of the sheet. This may seem to defeat the purpose of the work, but the very fact that they are using Primes over a period of time then enables them to start recognising the "look" of Primes. This can then be used as a basis for more traditional work as consolidation.

The maze also throws up the variety of tactics used to solve the problem. I have found most pupils fall into one of three types:

The Maze proficient: Starts at any Pirate and colours the maze as they work along the routes, possibly missing some of the turns.
The Maze efficient: Starts at the treasure and works backwards, realising that there will be fewer wrong trails!
The Maze logician: Starts at the top line and colours all the Prime numbers, and slowly works down the sheet, only at the end looking for the route. I think this is the mathematical equivalent of train spotting, thankfully there are very few in this category!

A Prime Maze also works on similar principles. This time calculating an answer before a route can be discovered. This style of maze also annoys Maze proficient as it is equally difficult from either end! It is more sophisticated than the first maze and is appropriate for able pupils who can apply the two different tasks (the calculation and spotting Primes) whilst remembering the end goal of finding a route through the maze.

Ian Fisher

This article is about 10ticks worksheets Level 5 Pack 1 Page 30 and Level 5 Pack 1 Page 31.

Maths in Schools. September 2001. Vol 30 No 4.

 
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