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Understanding the Basic Coordinate Plane
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 We’ll learn the basics of the coordinate plane.
 We'll also learn how to plot points on a coordinate plane using ordered pairs.
 And we'll see that that this knowledge can help us visit an amusement park, find buried treasure, and travel the world.

Discussion Questions

Before VideoHow is graph paper helpful in working with maps? ANSWER

The grid helps to determine location.

A line that runs right to left or back and forth.

A line that runs up and down.

Values in two dimensions give more precise location information than just one value.

The number 0.


After VideoWhy does the order in an ordered pair matter?ANSWER

It tells me that first I need to 'go right x units and then up y units.' If I 'go right y units and then up x units,' this is a completely different location.

The xcoordinate.

The ycoordinate.

The origin.

It helps us to see patterns and trends.



Vocabulary

Coordinate Plane
DEFINE
A twodimensional number line where the vertical line is called the yaxis and the horizontal is called the xaxis.

Coordinate Grid
DEFINE
A grid that is used to locate points using an ordered pair of numbers.

xaxis
DEFINE
The number line that is horizontal on a coordinate grid.

yaxis
DEFINE
The number line that is vertical on a coordinate grid.

Origin
DEFINE
The point where the two axes of a coordinate grid intersect; the point represented by the ordered pair (0, 0).

Ordered Pairs
DEFINE
A pair of numbers used to locate a point on a coordinate grid.

xcoordinate
DEFINE
The first number in an ordered pair, which names the distance to the right or left from the origin along the xaxis.

ycoordinate
DEFINE
The second number in an ordered pair, which names the distance up or down from the origin along the yaxis.

Coordinate Plane
DEFINE

Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS A COORDINATE PLANE?A coordinate plane is a twodimensional number line where the vertical line is called the yaxis and the horizontal is called the xaxis. You can use these two number lines to place points, or ordered pairs of numbers.
To better understand the basic coordinate plane…
WHAT IS A COORDINATE PLANE?. A coordinate plane is a twodimensional number line where the vertical line is called the yaxis and the horizontal is called the xaxis. You can use these two number lines to place points, or ordered pairs of numbers. To better understand the basic coordinate plane…LET’S BREAK IT DOWN!
Amusement Parks
Let's say you want to navigate an amusement park by using a coordinate grid to locate different rides. A coordinate grid is a pair of two number lines that intersect. One is horizontal and one is vertical. The horizontal number line is called the xaxis. This number line gives the xcoordinate of the location of a ride. The vertical number line is called the yaxis. This number line gives the ycoordinate of the ride's location. The coordinate grid can give the exact location by assigning that location a point called an ordered pair. To locate any place on the map, begin at the origin. The origin is at (0, 0). Count units right of the origin and up from the origin for each ride. The path to the Ferris wheel from point (0, 0) is 2 units to the right along the xaxis and 3 units up along the yaxis, so it is at the point (2, 3). The location on the xaxis always goes first in the pair. The roller coaster is located 8 units to the right along the xaxis and 4 units up along the yaxis from the origin. The roller coaster is at point (8, 4). Try this one yourself: The haunted house is located 10 units to the right of the origin along the xaxis and 7 units up along the yaxis. What ordered pair do we assign to the haunted house?
Amusement Parks Let's say you want to navigate an amusement park by using a coordinate grid to locate different rides. A coordinate grid is a pair of two number lines that intersect. One is horizontal and one is vertical. The horizontal number line is called the xaxis. This number line gives the xcoordinate of the location of a ride. The vertical number line is called the yaxis. This number line gives the ycoordinate of the ride's location. The coordinate grid can give the exact location by assigning that location a point called an ordered pair. To locate any place on the map, begin at the origin. The origin is at (0, 0). Count units right of the origin and up from the origin for each ride. The path to the Ferris wheel from point (0, 0) is 2 units to the right along the xaxis and 3 units up along the yaxis, so it is at the point (2, 3). The location on the xaxis always goes first in the pair. The roller coaster is located 8 units to the right along the xaxis and 4 units up along the yaxis from the origin. The roller coaster is at point (8, 4). Try this one yourself: The haunted house is located 10 units to the right of the origin along the xaxis and 7 units up along the yaxis. What ordered pair do we assign to the haunted house?Class Trip
Let's say you have a map to help you find different destinations on your class trip to Centerville. Each of the destinations has been assigned an ordered pair to help you find it on the coordinate grid for Centerville. Your hotel is at the intersection of Main Avenue and Main Street. Make this the origin, or the point (0, 0). Next, let the xaxis represent the streets and the yaxis represent the avenues in Centerville. The museum is located at point (7, 2), or 7 streets to the right along the xaxis and 2 avenues up the yaxis. The fountain is located at point (3, 5). Go 3 streets to the right along the xaxis and 5 avenues up along the yaxis to find the fountain on the map. The skate park is located at point (0, 6). Move zero streets to the right on the xaxis and 6 avenues up on the yaxis. Try this one yourself: On the Centerville Map, the Historical Society Building is located at point (9, 0). How do you get to the Historical Society Building from the hotel?
Class Trip Let's say you have a map to help you find different destinations on your class trip to Centerville. Each of the destinations has been assigned an ordered pair to help you find it on the coordinate grid for Centerville. Your hotel is at the intersection of Main Avenue and Main Street. Make this the origin, or the point (0, 0). Next, let the xaxis represent the streets and the yaxis represent the avenues in Centerville. The museum is located at point (7, 2), or 7 streets to the right along the xaxis and 2 avenues up the yaxis. The fountain is located at point (3, 5). Go 3 streets to the right along the xaxis and 5 avenues up along the yaxis to find the fountain on the map. The skate park is located at point (0, 6). Move zero streets to the right on the xaxis and 6 avenues up on the yaxis. Try this one yourself: On the Centerville Map, the Historical Society Building is located at point (9, 0). How do you get to the Historical Society Building from the hotel?Treasure Maps
Let's say that you have a treasure map. A set of coordinate points on the map form a geometric shape. There is a buried treasure located within that shape. Plot the coordinates to form the shape and locate the buried treasure. The first coordinate on the treasure map is (2, 1). Start at the origin and go 2 places right on the xaxis and up 1 on the yaxis and mark that point. The next point is (5, 5). Go 5 right and up 5 from the origin. The last point to mark is (7, 1). Go 7 to the right and 1 up from the origin. Connect the three points to make a triangle. The treasure is inside the triangle. Now let's say another treasure is buried inside the shape made by the coordinates (3, 3), (6, 3), (3, 9), and (6, 9). Plot each point by going right the number in the xcoordinate position and up the number in the ycoordinate position. Connect the points to form a rectangle with treasure inside of it. Try this one yourself: On a map of Main St. School, a time capsule is buried inside the shape formed by the coordinates: (4, 2), (4, 7), (10, 2), and (10, 7). What shape is formed?
Treasure Maps Let's say that you have a treasure map. A set of coordinate points on the map form a geometric shape. There is a buried treasure located within that shape. Plot the coordinates to form the shape and locate the buried treasure. The first coordinate on the treasure map is (2, 1). Start at the origin and go 2 places right on the xaxis and up 1 on the yaxis and mark that point. The next point is (5, 5). Go 5 right and up 5 from the origin. The last point to mark is (7, 1). Go 7 to the right and 1 up from the origin. Connect the three points to make a triangle. The treasure is inside the triangle. Now let's say another treasure is buried inside the shape made by the coordinates (3, 3), (6, 3), (3, 9), and (6, 9). Plot each point by going right the number in the xcoordinate position and up the number in the ycoordinate position. Connect the points to form a rectangle with treasure inside of it. Try this one yourself: On a map of Main St. School, a time capsule is buried inside the shape formed by the coordinates: (4, 2), (4, 7), (10, 2), and (10, 7). What shape is formed?Vacation Weather
Let's say that you are planning a vacation and would like to know how the weather will change throughout the week. One way to do this is to graph data from a table of daily temperatures on a coordinate grid. The points on the graph tell a story. Make ordered pairs from the table of data. Let's say the table consists of days of the week and each day's temperature. We can assign the days of the week as xcoordinate values and label them 1 through 7. Next we have the daily temperatures from Monday to Sunday as follows: 17°C, 18°C, 20°C, 21°C, 23°C, 24°C, and 26°C. These are the ycoordinate values. Write each day and its temperature as an ordered pair as follows: (1, 17), (2, 18), (3, 20), (4, 21), (5, 23), (6, 24), and (7, 26). Next, plot these points on the coordinate grid and connect all of the points. The graph of the data shows us a trend: the line goes up to the right, so the temperature gets warmer each day. Try this one yourself: Let's say you graph how much money you have left to spend on vacation by graphing each day and the amount of money in your pocket. The ordered pairs are (1, 200), (2, 150), (3, 100), (4, 75), (5, 50), (6, 25), (7, 0). What trend do you see?
Vacation Weather Let's say that you are planning a vacation and would like to know how the weather will change throughout the week. One way to do this is to graph data from a table of daily temperatures on a coordinate grid. The points on the graph tell a story. Make ordered pairs from the table of data. Let's say the table consists of days of the week and each day's temperature. We can assign the days of the week as xcoordinate values and label them 1 through 7. Next we have the daily temperatures from Monday to Sunday as follows: 17°C, 18°C, 20°C, 21°C, 23°C, 24°C, and 26°C. These are the ycoordinate values. Write each day and its temperature as an ordered pair as follows: (1, 17), (2, 18), (3, 20), (4, 21), (5, 23), (6, 24), and (7, 26). Next, plot these points on the coordinate grid and connect all of the points. The graph of the data shows us a trend: the line goes up to the right, so the temperature gets warmer each day. Try this one yourself: Let's say you graph how much money you have left to spend on vacation by graphing each day and the amount of money in your pocket. The ordered pairs are (1, 200), (2, 150), (3, 100), (4, 75), (5, 50), (6, 25), (7, 0). What trend do you see? 
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Science & Math$_{/yr}

Science Only$_{/yr}
Where can you find the point (3, 2) on a coordinate grid?
Plot the point (4, 3) on a coordinate grid.
Graph the points (2, 4), (7, 4), (2, 8), and (7, 8) on a coordinate grid and connect the points with lines. What shape is formed?
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