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Adding and subtracting Integers Multiplying and dividing Integers Integers Coordinate PlaneHere you will learn about plotting points on a graph, including how to identify the quadrant or axis the points are on. You will also learn how to find the distance between points on the coordinate plane.
Students first learn how to plot points in the 6th grade with their work in the number system and expand that knowledge through middle school and high school when graphing linear equations.
To plot points on a graph means to graph points on the coordinate plane where the point, also called an ordered pair, is in the form of katex is not defined
When plotting a point on a graph, always start from the center, which is called the origin and has coordinates katex is not defined
Then move horizontally the amount of units represented by the katex is not defined-coordinate, and move vertically the amount of units represented by the katex is not defined-coordinate. The katex is not defined-coordinate and the katex is not defined-coordinate are represented by rational numbers.
For example, let’s plot the points katex is not defined and katex is not defined on the coordinate plane.
katex is not defined represents the katex is not defined-coordinate and katex is not defined represents the katex is not defined-coordinate.
This means you do not move left or right on the katex is not defined-axis, you just move up katex is not defined places on the katex is not defined-axis. This point is on the katex is not defined-axis.
katex is not defined represents the katex is not defined-coordinate and katex is not defined represents the katex is not defined-coordinate.
This means that you move four units right on the katex is not defined-axis and katex is not defined units up on the katex is not defined-axis. This point is on the katex is not defined-axis.
On this graph, each unit or tick mark represents katex is not defined unit.
For example, the table represents coordinates. Let’s plot them on the coordinate plane.
Notice how each of the points lands in one of the four quadrants on the coordinate plane. Each unit on this coordinate plane represents katex is not defined unit.
We can find the distance between two points on a graph by counting the number of units between the points.
For example,
Plot the point katex is not defined and the point katex is not defined Find the distance between the points.
To find the distance from point katex is not defined to point katex is not defined, count the number of units. The distance from point katex is not defined to point katex is not defined is katex is not defined units.
For example,
Let’s plot the polygon on the coordinate plane with vertices at katex is not defined katex is not defined, and katex is not defined.
Let’s find the side lengths of the plotted rectangle. To do this, count the number of units from one point to the next.
The distance from point katex is not defined to point katex is not defined is katex is not defined units.
The distance from point katex is not defined to point katex is not defined is katex is not defined units.
The distance from point katex is not defined to point katex is not defined is katex is not defined units.
The distance from point katex is not defined to point katex is not defined is katex is not defined units.
The distance between points is always positive because distance is a positive measurement.
Now that you know the side lengths, you can find the perimeter of the rectangle katex is not defined
To find the perimeter of a rectangle, add up each of the side lengths or use the formula, katex is not defined
The perimeter of rectangle katex is not defined is katex is not defined units OR katex is not defined units
How does this relate to 6th grade math?
Use this worksheet to check your grade 6, 7 and 8 students’ understanding of plotting points on a graph. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEUse this worksheet to check your grade 6, 7 and 8 students’ understanding of plotting points on a graph. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEIn order to plot points on a graph:
In order to find the distance between points on a graph:
Plot the point katex is not defined.
The katex is not defined-coordinate is katex is not defined which means to move right katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means there is no movement up or down.
2Follow the gridlines until the two values meet and draw a point.
3Identify which axis or quadrant the point(s) is in.
katex is not defined is on the katex is not defined-axis.
Plot the point katex is not defined
Identify the horizontal (katex is not defined-value) and vertical position (katex is not defined-value) of the ordered pair.
The katex is not defined-coordinate is katex is not defined which means to move katex is not defined spaces left.
The katex is not defined-coordinate is katex is not defined which means to move katex is not defined spaces up.
Follow the gridlines until the two values meet and draw a point.
Identify which axis or quadrant the point(s) is in.
katex is not defined is in Quadrant II.
Plot the point katex is not defined
Identify the horizontal (katex is not defined-value) and vertical position (katex is not defined-value) of the ordered pair.
The katex is not defined-coordinate is katex is not defined which means to move one space right.
The katex is not defined-coordinate is katex is not defined which means to move two spaces down.
Follow the gridlines until the two values meet and draw a point.
Identify which axis or quadrant the point(s) is in.
katex is not defined is in Quadrant IV.
Plot the points katex is not defined and katex is not defined and find the distance between them.
Identify the horizontal (katex is not defined-value) and vertical position (katex is not defined-value) of the ordered pair.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means there is no movement right or left.
The katex is not defined-coordinate is katex is not defined which means to move up katex is not defined spaces.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move right katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means to move up katex is not defined spaces.
Follow the gridlines until the two values meet and draw a point.
Connect the points.
Count the units between the points.
There are katex is not defined spaces (units) between katex is not defined and katex is not defined so the distance between them is katex is not defined units.
On a map of an amusement park, the roller coaster is at coordinate katex is not defined and the water slide is at coordinate katex is not defined
On the map, how many units is the roller coaster for the water slide?
Identify the horizontal (katex is not defined-value) and vertical position (katex is not defined-value) of the ordered pair.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move left katex is not defined space.
The katex is not defined-coordinate is katex is not defined which means to move up katex is not defined spaces.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move left katex is not defined space.
The katex is not defined-coordinate is katex is not defined which means to move down katex is not defined spaces.
Follow the gridlines until the two values meet and draw a point.
Connect the points.
Count the units between the points.
There are katex is not defined spaces (units) between katex is not defined and katex is not defined The distance between the points is katex is not defined units.
So the distance between the roller coaster and the water slide on the map is katex is not defined units.
Plot the points katex is not defined Find the perimeter of the rectangle.
Identify the horizontal (katex is not defined-value) and vertical position (katex is not defined-value) of the ordered pair.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move left katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means to move up katex is not defined spaces.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move right katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means to move up katex is not defined spaces.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move right katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means to move down katex is not defined spaces.
katex is not defined
The katex is not defined-coordinate is katex is not defined which means to move left katex is not defined spaces.
The katex is not defined-coordinate is katex is not defined which means to move down katex is not defined spaces.
Follow the gridlines until the two values meet and draw a point.
Connect the points.
Count the units between the points.
There are katex is not defined spaces between each of the points which means the distance from point to point is katex is not defined units.
To find the perimeter, add up the lengths.
katex is not defined
1. Which graph shows the plotted point katex is not defined
katex is not defined
The katex is not defined-coordinate is katex is not defined, which means there is no movement right or left.
The katex is not defined-coordinate is katex is not defined, which means move katex is not defined spaces up.
Place a point where the gridlines meet.
2. Which graph shows the plotted point katex is not defined
katex is not defined
The katex is not defined-coordinate is katex is not defined, which means to move katex is not defined spaces left.
The katex is not defined-coordinate is katex is not defined, which means to move katex is not defined space up.
Place a point where the gridlines meet.
3. Which quadrant is katex is not defined in?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
The katex is not defined-coordinate is katex is not defined, which means move katex is not defined spaces right.
The katex is not defined-coordinate is katex is not defined, which means move katex is not defined spaces down.
Where the gridlines meet, place the point.
The katex is not defined-coordinate is positive and the katex is not defined-coordinate is negative, which is in Quadrant IV.
4. On map of city, the train station is at the coordinate katex is not defined and the park is at the coordinate katex is not defined. If each unit on the map is a city block, how many city blocks are there between the train station and the park?
katex is not defined city blocks between the train station and the park
katex is not defined city blocks between the train station and the park
katex is not defined city block between the train station and the park
katex is not defined city blocks between the train station and the park
Plot the points, connect the points, and count the spaces between the points.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces left.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces up.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space right.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces up.
Counting the spaces, there is katex is not defined spaces between the two points, which means there is katex is not defined units or katex is not defined city blocks between the train station and the park.
5. What is the distance between the points katex is not defined and katex is not defined
katex is not defined units
katex is not defined units
katex is not defined units
katex is not defined units
Plot the points, connect the points, and count the spaces between the points.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces left.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces up.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces left.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces down.
Counting the spaces, there are katex is not defined spaces or katex is not defined units between the points.
6. What is the perimeter of the rectangle with the following points?
katex is not defined
katex is not defined units
katex is not defined units
katex is not defined units
katex is not defined units
Plot the points.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space right.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space up.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space right.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces up.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space left.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined spaces up.
katex is not defined
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space left.
The katex is not defined-coordinate is katex is not defined, which is katex is not defined space up.
Connect the points and count the spaces from point to point. Count the spaces or units between each of the points.
Add the units from point to point to find the perimeter.
katex is not defined units.
The perimeter is katex is not defined units.
This is the same as a coordinate plane. This name refers to the French mathematician Rene Descartes who is credited with incorporating the use of the coordinate plane into mathematics.
Coordinate planes have many uses in the real world and come up extensively in upper level math topics like coordinate geometry, algebra, trigonometry, and statistics.
Yes, an ordered pair can be any rational number.
Linear equations are equations that form straight lines on the coordinate plane, and quadratic equations form curves called parabolas on the coordinate plane. You will begin to graph linear equations in the 7th grade.
The coordinate grid is another name for the coordinate plane.
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40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!