10ticks Press Area  
 
Back to Press Area

Magic Squares.

Over this publication's history it has dealt with Magic Squares from virtually every angle possible so I don't expect to reveal any deep, dark secrets here.

The worksheet Make a Magic Square derives from a mention in the Year 7 Framework and deserves a two page spread from the diversification of the mathematics it derives. It is one of those worksheets that after writing I couldn't wait to get into a classroom to teach. It was then used with Years 7, 8 and 9! The mathematics involved brings in substitution; addition/subtraction involving whole numbers, negative numbers and decimals; innate forming and solving equations; problem solving and inequalities. By the end of the worksheet pupils have a good knowledge of the workings of a Magic Square. Using a phrase from previous editions of MiS the sheet differentiates by fallout. The more able complete the sheet, whilst some may only partially complete the sheet.

The first page is purely a substitution exercise, building on previous knowledge of negative and decimal numbers. For Questions 16 - 21 I get the class to solve them mentally first, but then to return and write down the equation they formed in solving the problem. Encouraging them to find more than just one equation for solving the same letter makes them think about all the terms used, rather than returning to the same term for each question. This is an important algebraic step and fairly easy in this context. Finding a is obvious, and thus the other equations stem from this.

The rest of the questions concern the make up of a magic square. How can we set up an inequality to create only positive numbers? (Does this work for negative numbers?). Why is the Magic Number 3a? There's plenty of scope to extend the sheet into more complex areas!

Ian Fisher

This article is about 10ticks worksheets Level 5 Pack 5 Page 20 and Level 5 Pack 5 Page 21.

Maths in Schools. March 2002. Vol 31 No 2.

 
  Corporate Information  
 
 
  Press Releases  
 
 
  Maths In Schools Articles  
 
 
  Newsletters  
 
Parent Newsletters:


Student Newsletters:

 

http://www.10ticks.co.in



Current Help: 5210 
more helps 

10ticks India   10ticks South Africa    10ticks United Kingdom    10ticks Malaysia

AddThis Social Bookmark Button