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Enriching Mathematics at Center School In the classroom And in Math Olympiads With the implementation of the Common Core Standards critical thinking and collaboration with others are stressed. Finding multiple strategies to solve problems is important at all levels, and is an invaluable life skill as students move forward toward college and career. Now here’s an example of what we do at What’s another way we collaborate and develop critical thinking skills? We play math games. Are you ready to be amazed? . It’s time for some Math Magic How about another game? Ready, Set, Let’s go. Pick a number (1 – 10) x Multiply by 2 2x Add 8 2x 8 Divide by 2 2x 8 2 Subtract the original number 2x 8 x 2 Find your answer on the charts Pick a country which starts with the corresponding letter Pick an animal which starts with the next letter Skip a letter and pick a color that start with the next letter 1 A 6 F 2 B 7 G 3 C 8 H 4 D 9 I 5 E 10 J Who has “Grey Elephants in Denmark”? How it Works We think you probably have a gray elephant from Denmark. What’s the trick: The first half of this magical problem is an arithmetic trick. You will (it is certain) map a letter to the number 4 to get “D”). From there we are not certain where you will go, but having a gray elephant from Denmark is quite probable! You could have selected another country that starts with “D” such as the Dominican Republic or Dominica or Djibouti…but it is not probable. You also could have selected another animal that starts with “E” such as an elk or an ermine…but that’s not probable either. Function Machine Input x Result 2x 8 f ( x) x 2 ? Input x 1 2 3 4 x Function 2( x ) 8 ( x) 2 4 2(1) 8 (1) 2 2( 2) 8 ( 2) 2 2(3) 8 (3) 2 2( 4) 8 ( 4) 2 2( x ) 8 ( x) 2 Result y 4 4 4 4 4 2( x ) 8 ( x) 4 2 What will we investigate next? 2x 8 x4 2 Future investigations ? 1. Why does this work? 2. Is the domain really limited to 1 - 10? 3. Find another equation which has infinite solutions? 4. Play .