The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
Different combinations of the weights available allow you to make different totals. Which totals can you make?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Do you notice anything about the solutions when you add and/or
subtract consecutive negative numbers?
Substitute -1, -2 or -3, into an algebraic expression and you'll
get three results. Is it possible to tell in advance which of those
three will be the largest ?
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
What does this number mean ? Which order of 1, 2, 3 and 4 makes the
highest value ? Which makes the lowest ?
Take a few whole numbers away from a triangle number. If you know
the mean of the remaining numbers can you find the triangle number
and which numbers were removed?
Several students managed to get themselves out of the tangle!
Go to last month's problems to see more solutions.
How can we help students make sense of addition and subtraction of negative numbers?
A brief history of negative numbers throughout the ages
Can you be the first to complete a row of three?