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Teacher notes • The following slides allow the students to explore square numbers. They show how the square numbers can be calculated by adding odd numbers. • Allow the students time to prove that this happens for 72, 82, 92 and 102.(1+3+5+7+9+11+13+15+17+19). • This can then be extended so that they students can predict how many odd numbers will be in 152, 202 and 372. The Outwood Grange Family of Schools What comes next in this number sequence? How does this sequence relate to the coloured squares? 12 = 1 How What your many do rule you oddnotice work? numbers about will 22 = 1+3 Did 2 = 2, 20 2 and 15 you the need number 225forof15odd numbers 32 = 1+3+5 20 37 and2?=the 400 square number? 2 = 1369 37 Prove What it. is your rule? 42 = 1+3+5+7 52 = 1+3+5+7+9 62 = 1+3+5+7+9+11 The Outwood Grange Family of Schools Teacher notes • The following slide can be used as an extension of square numbers. The Outwood Grange Family of Schools Square numbers Put the digits 1 to 9 in the spaces so that the numbers, reading across, are all square numbers. 1 2 3 4 5 6 7 8 9 The Outwood Grange Family of Schools