11.16: Coordinate Locations on a Map
Have you ever created a map?
Kevin and his pen pal Charlotte are both creating maps of their neighborhoods to show each other what it looks like where they live. Kevin has decided to name the most important things on his map. He has decided to include his house, his school, the skate park and the library. Since Kevin lives close to each of these things, he is sure that he can draw them on a map.
Kevin has decided to use a coordinate grid to show each location. He wants to send Charlotte a key that will match each location with its accurate coordinates.
Here is Kevin's grid.
Given this map, which coordinates should Kevin use to name each location?
Pay close attention to this Concept and you will learn how to write coordinates to name locations.
Guidance
When we graphed geometric figures, we used integer coordinates to find the location of each point. Then we graphed each point according to its location. Maps also use integer coordinates to identify different locations. If you look at a map, you will see some numbers and sometimes letters around the border of the map. This can assist you in figuring out the location of cities or even different locations.
Some maps use integers to identify different locations. Let’s look at a map that does this. Here we have used a coordinate grid to identify where different places are in a town. Let’s look at this map.
We can say that Kara’s house is blue, Mark’s house is pink and Chase’s house is green. Each house has coordinates. We can say that the center of each house marks its coordinates on the map.
Kara’s house is at (3, 1)
Mark’s house is at (3, 2)
Chase’s house is at (3, 4)
Local maps use letters and numbers to identify locations. World maps use degrees written in latitude and longitude. Let’s learn about this real life use of coordinates.
Longitude is the measure of lines vertically on a map.
Latitude is the measure of lines horizontally on a map.
We can measure longitude and latitude using degrees. These degrees are written as ordered pairs.
Here you can see degrees of latitude as horizontal measures. The degrees of longitude are the vertical measures.
We can identify different locations on a map if we have the coordinates of the location. Notice that the degrees of latitude are written first, those are the horizontal degrees, and the degrees of longitude are written second. Those are the vertical degrees.
Practice working in degrees. Identify the states according to their locations in latitude and longitude.
Example A
\begin{align*}30^\circ, 83^\circ\end{align*}
Solution:Texas
Example B
\begin{align*}42^\circ, 100^\circ\end{align*}
Solution: South Dakota
Example C
\begin{align*}30^\circ, 100^\circ\end{align*}
Solution: Texas
Now back to the map.
Here is the original problem once again. Reread the problem and then use what you have learned to write the coordinates to match Kevin’s map.
Kevin and his pen pal Charlotte are both creating maps of their neighborhoods to show each other what it looks like where they live. Kevin has decided to name the most important things on his map. He has decided to include his house, his school, the skate park and the library. Since Kevin lives close to each of these things, he is sure that he can draw them on a map.
Kevin has decided to use a coordinate grid to show each location. He wants to send Charlotte a key that will match each location with its accurate coordinates.
Here is the grid that Kevin starts off with.
Given this map, which coordinates should Kevin use to name each location?
Now that you have finished this Concept, let’s work on writing coordinates to match Kevin’s map.
First, let’s start with his home. His house is located at (4, 5).
His school is located close to his home at (4, 2)
The library is located at (1, 3).
Finally, the skate park is the farthest away from his home at (0, 3).
Kevin is ready to send his map and coordinates to Charlotte. He can’t wait to see her map.
Vocabulary
Here are the vocabulary words in this Concept.
 Quadrants
 the four sections of a coordinate grid
 Origin

the place where the \begin{align*}x\end{align*}
x and \begin{align*}y\end{align*}y axis’ meet at (0, 0)
 Ordered Pair

the \begin{align*}x\end{align*}
x and \begin{align*}y\end{align*}y values used to locate points on a coordinate grid \begin{align*}(x,y)\end{align*}(x,y)

\begin{align*}x\end{align*}
x axis  the horizontal axis on the coordinate grid

\begin{align*}y\end{align*}
y axis  the vertical axis on the coordinate grid
 Coordinates

the \begin{align*}x\end{align*}
x and \begin{align*}y\end{align*}y values of an ordered pair
 Longitude
 vertical measure of degrees on a map
 Latitude
 horizontal measure of degrees on a map
Guided Practice
Which state is at \begin{align*}45^\circ, 70^\circ\end{align*}
To answer this question, we start with the horizontal degrees, the latitude. That says \begin{align*}45^\circ\end{align*}
You can see that we are at the state of Maine.
Maine is our answer.
As long as you have values on a map, you can use coordinates to identify any location.
Video Review
Here is a video for review.
http://video.about.com/geography/LatitudeandLongitude.htm  This is a video from about.com on latitude and longitude.
Practice
Directions: Identify each place on the map according to latitude and longitude.
1. What is at \begin{align*}35^\circ, 70^\circ\end{align*}
2. What is at \begin{align*}30^\circ, 90^\circ\end{align*}
3. What is at \begin{align*}85^\circ, 70^\circ\end{align*}
4. What is at \begin{align*}55^\circ, 90^\circ\end{align*}
5. What is at \begin{align*}20^\circ, 40^\circ\end{align*}?
6. What is at \begin{align*}40^\circ, 80^\circ\end{align*}?
7. What is at \begin{align*}85^\circ, 100^\circ\end{align*}?
8. What is at \begin{align*}95^\circ, 80^\circ\end{align*}?
9. What is at \begin{align*}95^\circ, 100^\circ\end{align*}?
10. What is at \begin{align*}60^\circ, 30^\circ\end{align*}?
11. What is at \begin{align*}75^\circ, 30^\circ\end{align*}?
12. What is at \begin{align*}45^\circ, 40^\circ\end{align*}?
13. What is at \begin{align*}45^\circ, 45^\circ\end{align*}?
14. What is at \begin{align*}50^\circ, 70^\circ\end{align*}?
15. What is at \begin{align*}80^\circ, 50^\circ\end{align*}?
axis
The axis is the horizontal axis in the coordinate plane, commonly representing the value of the input or independent variable.axis
The axis is the vertical number line of the Cartesian plane.Latitude
Latitude is a coordinate that specifies the northsouth location of a point on the Earth's surface.Longitude
Longitude is a coordinate that specifies the eastwest location of a point on the Earth's surface.Ordered Pair
An ordered pair, , describes the location of a point on a coordinate grid.Origin
The origin is the point of intersection of the and axes on the Cartesian plane. The coordinates of the origin are (0, 0).Quadrants
A quadrant is onefourth of the coordinate plane. The four quadrants are numbered using Roman Numerals I, II, III, and IV, starting in the topright, and increasing counterclockwise.Image Attributions
Here you'll learn to locate places on maps using integer coordinates.
Concept Nodes:
axis
The axis is the horizontal axis in the coordinate plane, commonly representing the value of the input or independent variable.axis
The axis is the vertical number line of the Cartesian plane.Latitude
Latitude is a coordinate that specifies the northsouth location of a point on the Earth's surface.Longitude
Longitude is a coordinate that specifies the eastwest location of a point on the Earth's surface.Ordered Pair
An ordered pair, , describes the location of a point on a coordinate grid.Origin
The origin is the point of intersection of the and axes on the Cartesian plane. The coordinates of the origin are (0, 0).Quadrants
A quadrant is onefourth of the coordinate plane. The four quadrants are numbered using Roman Numerals I, II, III, and IV, starting in the topright, and increasing counterclockwise.