 
Beelines
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
 
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
 
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
 
 
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
 
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
 
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
 
 
 
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
 
This problem looks at how one example of your choice can show something about the general structure of multiplication.