Square Number Task Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7

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Presentation transcript:

Square Number Task Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 NC Level 4 to 8

Find the perimeter of each of these squares Square Task 1 Find the perimeter of each of these squares If you kept drawing squares of different sizes would you ever get a perimeter of 58? Home

Find the area of each of these squares Square Task 2 Find the area of each of these squares If you kept drawing squares of different sizes would you ever get an area of 196? Home

Try with the squares of the numbers between 4 and 20. Square Task 3 Try with the squares of the numbers between 4 and 20. Did you find any square numbers which cannot be made by adding two prime numbers together? http://nrich.maths.org/1150 Home 4

“The three numbers add to a square number. Square Task 4 Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children: Mona, Bob and Jamie. “The three numbers add to a square number. Mona can see two numbers which add to a square. Bob can see two numbers which add to a square. Jamie can see two numbers but they don't add to a square. It's either 5 too little or 6 too big! What numbers did the three children have on their backs? http://nrich.maths.org/1119 Home 5

52 + 122 = 132 Find other square numbers that work like this? Square Task 5 52 + 122 = 132 Because 25 + 144 = 169 Find other square numbers that work like this? Home

3, 4, 5 is called a Pythagorean Triple because Square Task 6 3, 4, 5 is called a Pythagorean Triple because 32 + 42 = 52. Show how the two smaller squares can cover the larger square. Home 7

Square Task 7 3, 4, 5 is called a Pythagorean Triple because 32 + 42 = 52. Can you find triples where you multiply the two square numbers instead of adding them? Home 8

Square Task 8 In this large square 3 squares have been coloured. How many possible squares are there? 1 by 1 squares = 25 2 by 2 squares = 16 3 by 3 squares = 9 4 by 4 squares = 4 5 by 5 squares = 1 Total = 55 Home 9

2 4 The red square is tilted and called a [4,2] square. Square Task 9 The red square is tilted and called a [4,2] square. Find the area of the square. Investigate the link between the name of the square and the area. 2 4 Home 10

Square Task 10 Can you add three square numbers to find an answer that is a square number? Is there a pattern? Home 11