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Why Math?

Why Math?. It’s a Powerful Tool for Problem Solving. 3 Essential Concepts in Math Math is “Precise and Concise”. Variables are placeholders. “Embrace the =‘s sign, but be a master and not a slave to it. 3 Critical Steps in Problem Solving

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Why Math?

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  1. Why Math? It’s a Powerful Tool for Problem Solving

  2. 3 Essential Concepts in Math Math is “Precise and Concise”. Variables are placeholders. “Embrace the =‘s sign, but be a master and not a slave to it. 3 Critical Steps in Problem Solving Be “Precise and Concise” about given (s) and goal (s). “Look to the end, before you begin.” “The end is in the beginning.” Why Math?

  3. Sample Problem A ladder leans against a house, with its foot 15 ft. from the house. When the foot of the ladder is pulled 9 ft. farther away from the house, the top slides down 13 ft. How long is the ladder?

  4. Be Precise and Concise About the Given(s) and Goal(s) L H L H-13ft 15ft 24ft =15ft+9ft A ladder leans against a house, with its foot 15 ft. from the house. When the foot of the ladder is pulled 9 ft. farther away from the house, the top slides down 13 ft. Focus on the goal. Let L = length of ladder H = reach of the ladder

  5. “The End Is In The Beginning” L H L H-13ft 15ft 24ft =15ft+9ft L2 = 242+(H-13)2 L2 = 576 + H2 -26H+169 L2 = 745 + H2 -26H L2 = 745 + L2 -225-26Sqrt(L2 -225) 0 = 520 -26Sqrt(L2 -225) Sqrt(L2 -225) = 20 L2 -225 = 400 L2 = 625 L = 25 ft L2 = 152 + H2 H2 = L2 – 225 H = Sqrt(L2 -225)

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