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Discover the patterns and use Pythagoras' theorem to determine the size of mobile phone screens. Match the number cards, find Pythagorean triples, and explore the measurements of different screens.
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Objectives • To investigate patterns in numbers • To know how to find the size of a mobile phone screen • Find the sizes of different screens using Pythagoras’ Theorem.
Activation • Match the cards with the other that is exactly the same • In your pairs decide what these numbers are called and suggest what keywords could you think of • Look for a connection between them.
Pythagorean Triples • Are whole numbers • Eg 3, 4 and 5 are a PT since 9 + 16 = 25 • Can you find any others? • For homework see if you can find others.
How big is my screen? What measurement on the television is used? Right angled Triangle Hypotenuse
Pythagoras’ Theorem Hypotenuse c a b a2 + b2 = c2
How big is my Ipad? 7 inches 6 inches
How big are the screens 14 inches wide 48 inches long 2 inches long 2.5 inches wide