Module 5 Foundation Number Grids Set 4 The aim is to achieve 554 - 666 (low grade C - grade B) . To achieve this pupils must:           Change the a feature of the box and use a variety of methods to achieve a fuller solution           Find the differences using correct algebra - showing their method - explaining what the letter represents           Predict and test and use algebra to justify their solutions           To achieve 666 pupils will need to prove the result for a 2xw box, 3xw box etc. Maths Home Page

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1	Calculate the difference for several 2x2 boxes and describe any patterns Change a feature of the box e.g. the width Find the differences for at least 3 other boxes of the same type e.g. 2x3 and explain any patterns you see Find the differences for another 3 boxes e.g. width of 3 e.g. 2x4 and describe any patterns
2	Show pupils how they could have used an algebraic approach to find the difference for a 2x2 box Pupils try the algebraic approach for the 2x3 and 2x4 boxes and use this method to find the differences for boxes of width 5 and 6
3	Put the results in a table and find the nth term Predict and test to see if it works
4	Continue to investigate rectangular boxes by starting with boxes of length 3 e.g. 3 x 2, 3 x 3, 3 x 4, 3 x 5 Find the differences algebraically and find the nth term Predict and test to see if it works Continue to investigate rectangular boxes by starting with boxes of length 4 e.g. 4 x 2, 4 x 3, 4 x 4, 4 x 5 Find the differences algebraically and find the nth term
5	Proving the results algebraically
6	Looking at your rules so far can you predict the difference for any length of box?