1.2+Planning+Emergency+Routes

September 28, 2008 Abhishek S 1.2 Planning Emergency Routes Advanced math 8/D Day 17

Main Idea: Essential Question:

Notes:

• Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers to arrive at the scene of an accident as quickly as possible.

• We need to find the shortest distance only, although there may be many ways to get to your destination using many directions using the shortest amount of distance.

Problem 1.2

Pair 1: To go to the City Hall to Police Station, travel 4 blocks north. Pair 2: To go to City Hall from the hospital, travel 6 blocks east and 4 blocks north. Pair 3: To go to the art museum from the hospital, travel 5 blocks north and 12 blocks east. Pair 4: To go to Stadium from City Hall, travel 7 blocks north and 2 blocks west.

A.

1. **Give the coordinates of each location, and give precise directions for an emergency car route from the starting location to the ending location.**

Answer: Pair 1: The police station is located on (0, - 4) and City Hall is located on (0, 0), so to go to the City Hall from the Police Station, you need to go 4 blocks north as the shortest distance.

Pair 2: The Hospital is located at ( -6, -4) and City Hall is located at (0,0), so to go to the City Hall from the Hospital, one possible way you can go is 5 blocks north and 12 blocks east.

Pair 3: The Hospital is located at (-6, -4) and the Art museum is located at (6, 1): so to travel to the Art Museum from the Hospital, one possible way to go is 5 blocks north and 12 blocks west.

Pair 4: The police station is located at (0,4) and the Stadium is located at ( -2, 3), so to go the Stadium from the police station, one possible way to travel is 7 blocks north and two blocks west.

2. **Find the total distance, in blocks, a police car would have to travel to get from the starting location to the ending location along your route.**

Pair 1: The total distance would be 4 blocks. Pair 2: The total distance would be 10 blocks. Pair 3: The total distance would be 17 blocks. Pair 4: The total distance would be 9 blocks.

B. **A helicopter can travel directly from one point to another. Find the total distance, in blocks, a helicopter would have to travel to get from the starting location to the ending location along your route.**


 * Answer:** Pair 1: If you are going to go to the City Hall from the Police Station from a helicopter, the total distance would be 2 blocks.

Pair 2: If you are going to the City Hall from the Hospital, the total would be 4 blocks.

Pair 3: If you are going to the Art museum from the hospital, the total distance would be 5 blocks.

Pair 4: If you are going to the Stadium from the Police Station, the total distance would be 5 blocks.


 * Problem 1.2 Follow-up**

1. **How much farther is it from the greenhouse to the stadium by car than by helicopter?**


 * Answer:** It is 3 blocks farther from the greenhouse to the stadium by car than by helicopter.

2. **How much farther is it from the hospital to the art museum by car than by helicopter?**


 * Answer:** It is 12 blocks farther from the hospital to the art museum by car than by helicopter.

3. **Will the helicopter distance between two locations always be shorter than the car distance?** No, it will not always be shorter than the car distance because sometimes the helicopter and the car will end up having the same distance which means that it will not always be shorter than the car distance.

Homework: ACE1: 7 and 8