Number of high fives in the room

Today grade 10s looked at how many unique high fives there are in our classroom. We had 32 in the room today, and a unique high five is considered a high fove between 2 people.

With 32 it gets challenging to draw out…

Easier to draw smaller cases

We looked at the table of vales we created from these smaller cases, and found patterns which we extended to our number of 32 people. We also looked for a general case, and from the second differences, calculated “a”, from the table we found the constant, or “c” term, and then calculated the value of “b” in our standard form equation.