If all the students in this room shook hands with each other, how many handshakes would there be altogether?
Topics: Starter  Investigations  Number  Problem Solving
Solving the classical #handshakes problem in a #maths lesson with a difference. #GirlsInSTEM pic.twitter.com/cWQKcSf4AC
— MSY_STEAM (@MSY_STEAM) October 10, 2017
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Can you find a formula for the number of handshakes given the number of students?
Edward and Lucy invite four couples to dinner. Each person shakes hands only with the people that he or she has not met before. Edward then asks his wife and eight guests how many hands they shook, and he receives nine different answers. How many people did Lucy shake hands with?
Bellos, Alex. Can You Solve My Problems?: a Casebook of Ingenious, Perplexing and Totally Satisfying Puzzles. Guardian Books, 2017.
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=November8 However it would be better to assign one of the student interactive activities below. 

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