1.1+Driving+Around+Euclid+0910

PM 9/22/09 Block F   Problem 1.1 and Follow Up

 Big Idea: The dimensions of a right triangle can be determined with limited information. Essential Question # 1 - How can I calculate distances on a coordinate grid?   City Hall: (0, 0)  Police Station: (0, -4) Cemetery: (3, -4) Animal Shelter: (6, -2) Art Museum: (6, 1) Gas Station: (4, 4)  <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Stadium: (-2, 3) <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Greenhouse: (-6, 0) <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Hospital: (-6, -4) <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">9 Blocks east to get to the cemetery. <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">4 Blocks south to get to the police station. <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">3 Blocks north and 2 blocks west to get to the gas station. <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">1 Block=1 coordinate grid, so the number of blocks is the same as the number of grids. <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">She needs to know which direction to go in from the police station, so the ice cream shop could be either 3 blocks N, S, E, or W. <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">The library is at (-2, 0) <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">A.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> ****<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Give the coordinates of each labeled landmark on the map. **
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">B.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> ****<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">1. How many blocks would a car have to travel to get from the hospital to the cemetery? **
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">2. How many blocks would a car have to travel to get from the city hall to the police station? **
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">3. How many blocks would a car have to travel to get from the art museum to the gas station? **
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">C.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> ****<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">How can you tell the distance in blocks between two points if you know the coordinates of the points? **
 * __<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">FOLLOW UP __**
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">1.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> ****<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Chloe is at the city hall and she asks a police officer where the ice cream shop is, and he says “its three blocks from here” Can Chloe find the ice cream shop based on these directions? **
 * <span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">2.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> ****<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">The library is located at an intersection that is the same number of blocks from the stadium as the animal shelter is from the art museum. Where is the library located? **