LFP+Mathematical+Reflections,+p+16

Zareen K. Monday, October 6th, 2008 Block 8D: Advanced Math

**Essential Question:** How can I calculate distances on a coordinate grid?
//Mathematical Reflection//
 * Investigation One**

//**1. In the city of Euclid, how does the distance a car needs to travel to get from one place to another compare to the distance a helicopter needs to travel?**//

In the city of Euclid a car needs to go either horizontally or vertically in and as a result it takes longer to get there then it takes for a helicopter that can go diagonally, in a straight line from start to finish.

//**2. If you know the coordinates of two landmarks in Euclid, how can you find the distance in blocks between them?**//

To find out how to get from one place to another you would use the formula:

//Y2 – Y1 = a X2 – X1 = b

A + B = [Distance]//

In words: you would subtract Y2 from Y1 and X2 from X1 and then add the numbers (answers) from both of them together to find the distance between the two points.

__So for example:__

//(2, 1) (4, 3)

3 – 1 = 2 4 – 2 = 2

2 + 2 = 4//

So therefore the distance between the two points is four blocks.

//**3. Can the following points be connected to form a parallelogram? Explain your answer.**//

Yes, it is possible to make a parallelogram with the coordinates; you would just connect the points.




 * Summary:**

In this investigation I learned how to find the distance between two points.