Use numberlines and spreadsheet rules to explore the amazing patterns we find in our whole numbers. Did you know that you can get the odd numbers by subtracting the square numbers? I won’t give away any other secrets, but I know you will find in these patterns some wonders. And you may even construct your …
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Powerball
You just won the Lottery worth $600,000,000. You have a choice between taking it as a lump sum of $376.9 million or in yearly payments of $20,000,000/year for 30 years. Which should you choose? You will build a simulator of your payouts and you can decide yourself which plan is best for you. And yes …
What if…
“Rather than ask why our students fail to measure up, this film asks us to reconsider the greater purpose of education. What if our education system valued personal growth over test scores? Put inquiry over mimicry? Encouraged passion over rankings? What if we decided that the higher aim of school was not the transmission of …
A Maker of Patterns
G.H. Hardy, one of the greatest mathematicians of the 20th century wrote this: A mathematician, like a painter or a poet, is a maker of patterns. The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the …
Sudoku Challenge
Have you ever played Sudoku? It is fun and challenging. You have to find the numbers from 1 to 9 in each cell so that that all of the numbers appear only once in every row, column, and grid square. Ryan added a sweet wrinkle to the traditional Sudoku game, he gives you the sums …
Enigma Machine
Spreadsheets are great for creating secret codes and for breaking them. During World War II the German military used a machine they called Enigma to send coded messages. In a box about the size of a typewriter, wheels with letters on them were spun around to encode or to decode a message. The story of …
Probability: Flipping a Coin
That probability is multiplicative is not an easy concept for many of us. Using the spreadsheet with our ability to make tables and to cut and paste can make this important concept much more transparent. We look forward to your thoughts about what we have done.
Inverse of Linear Functions
What does a linear function look like when we interchange the inputs and outputs, that is make the x-axis the y-axis and vice versa.
Napoleon’s Pyramid
When Napoleon conquered Egypt in 1798 he went to the Great Pyramid of Giza. While his men climbed to its peak, he figured out that “There is stone enough to build a wall 3 meters high and 1/3 meter thick around the whole of France.” Was Napoleon right? How and why did he figure this …
Coin Problems
Suppose Briley has 10 coins in quarters and dimes and has a total of $1.45. How many of each coin does she have?