Counting Trees
This week and last week we looked at orchards with different radii. For example, we looked at orchard with a radius of 1 tree, 2 trees, 3 trees, and 10 trees.
1. We looked at making a tree orchard that had a radius of 30 trees. we drew one quarter of the orchard. the dot represents the middle of the orchard, there is no tree on the dot. The problem that we worked on last week suggested that there was an electrical wire running through a certain lattice point on our graph. We were told to find the smaller radius of trees that could be planted without planting a tree on the electrical chord.
2. We found the slope of the electrical chord by counting rise over run and that helped us to determine where exactly the tree would be planted and on which points the tree would land. We determined that the orchard could have a radius of three when it hits the electrical chord.
3. The habit of a mathematician that I used is Creating a rule because without creating a rule of the slope we would have never figured out which points could hit the trees and which points couldn't.
This week and last week we looked at orchards with different radii. For example, we looked at orchard with a radius of 1 tree, 2 trees, 3 trees, and 10 trees.
1. We looked at making a tree orchard that had a radius of 30 trees. we drew one quarter of the orchard. the dot represents the middle of the orchard, there is no tree on the dot. The problem that we worked on last week suggested that there was an electrical wire running through a certain lattice point on our graph. We were told to find the smaller radius of trees that could be planted without planting a tree on the electrical chord.
2. We found the slope of the electrical chord by counting rise over run and that helped us to determine where exactly the tree would be planted and on which points the tree would land. We determined that the orchard could have a radius of three when it hits the electrical chord.
3. The habit of a mathematician that I used is Creating a rule because without creating a rule of the slope we would have never figured out which points could hit the trees and which points couldn't.