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Graph Points On The Coordinate Plane Facts & Worksheets

In this lesson, we will understand what the coordinate plane is, how to graph points in the coordinate plane, and how we can use the coordinate plane in solving mathematical problems.

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Worksheets /Math /Grade 5 (ages 10-11) /Graph Points On The Coordinate Plane Facts & Worksheets
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In this lesson, we will understand what the coordinate plane is, how to graph points in the coordinate plane, and how we can use the coordinate plane in solving mathematical problems.

See the fact file below for more information on the graph points on the coordinate plane or alternatively, you can download our 31-page Graph Points On The Coordinate Plane worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

COORDINATE PLANE

  • Before knowing how to plot and how to solve mathematical problems using coordinate planes, we have to define first what a coordinate plane is.
  • A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line and of a horizontal line.
  • The vertical line in the coordinate plane is called the y-axis, while the horizontal line is called the x-axis.
  • A coordinate plane can be divided into four (4) quadrants.
  • The values in each quadrant can be identified by the sign (positive or negative) of the x-coordinate and of the y-coordinate.
  • In Quadrant I, the coordinates in this quadrant can be identified as (positive, positive).
  • In Quadrant II, the coordinates can be identified as (negative, positive). In Quadrant III, the coordinates can be identified as (negative, negative). And in Quadrant IV, the coordinates can be identified as (positive, negative).

GRAPHING COORDINATES

  • How to graph coordinates in a coordinate plane?
  • We will use the given coordinate as our example. (3, 5)
  • The first number is 3. The first number is always the x-coordinate, which means that to plot this, we have to look at the x-axis or the horizontal line.
  • From 0, we will count 3 steps to the right since 3 is a positive.
  • To mark the number 3, we placed a red dot on it.
  • Now, let us move on to the second number, which is 5.
  • The second number is the y-coordinate, which means that we have to look at the y-axis or the vertical line.
  • Note that for x-axis, the positive numbers are on the right side, while the negative numbers are on the left
  • For the y-axis, the positive numbers are on the upper part and the negative numbers are on the lower part. The line is divided by the x-axis.
  • Since 5 is a positive number, we need to move the red dot to five place upward.
  • The red dot is now at coordinate (3,5) which is our desired coordinate.
  • Let us try another one.
  • The blue dot is at coordinate (-3,5).
  • Remember that Quadrant II coordinates are of (negative, positive) pattern, which means that our plot is correct.
  • For easier plotting, always remember the signs of the x-coordinate and of the y-coordinate per quadrant.

SOLVING PROBLEMS WITH COORDINATE PLANE

  • How can we solve word problems using the coordinate plane?
  • Let us start first with the most basic, the first quadrant.
  • 3 boys were playing basketball and their coach decided to record the number of days they have been doing training and their successful shots for that day. The coach was able to graph their the points as shown below. Which player had the most shots?
  • Looking at the graph, we have to first identify their coordinates.
    • A: (5,5)
    • B: (6,5)
    • C: (3,7)
  • After identifying their coordinates, we have to identify which is which based on the word problem given.
  • Note that we have two things to consider, the number of days they have been doing training and the number of shots they for the day.
  • Based on the word problem, since the first item mentioned is the number of days they have been doing training, we can say that this is the x-coordinate while the other one is the y-coordinate.
  • Looking at the graph and at the coordinates, we have to find the one with the highest value of y-coordinate, and that is point C.
  • Therefore boy C has the highest number of successful shots.
  • We can also use coordinate planes to determine locations. Use the word problem below as an example.
  • Angel graphed the locations of the usual places she visits after school. They are visualized through the graph presented below. After reviewing the graph, Angel realized that there is one more place she goes to, which is the coffee shop. She remembered that it is located halfway between the computer shop and the accessories store. Where should the coffee shop be located?
  • Given the graph, we need to find the location that is between the computer shop and the accessories store.
  • Note that the computer shop is located at (4,9) while the accessories store is located at (4,5).
  • Since both their x-coordinates are of the same number, we only need to find the number which is between 5 and 9.
  • This problem can be solved using the number line.
  • Based on the number line, the number between 5 and 9 is 7. Therefore, the location of coffee shop must be at the point wherein 7 is the y-coordinate. Going back, the x-coordinates of both the computer shop and accessories shop is 4, therefore we can also say that the coffee shop is located at the point wherein the x-coordinate is 4.
  • Thus, the location of the coffee shop is at (4,7).
  • For solving word problems using the coordinate plane, the first thing we have to remember is that a coordinate plane has coordinates, which can be identified as the x-coordinate and y-coordinate. With these things in mind, we always have to remember to look for items related to the x-coordinate and to the y-coordinate.
  • We also need to remember that per quadrant, there are corresponding signs per coordinate.
  • We have to remember about the signs in order to understand the context of the word problem at hand.
  • Quadrant I must not contain negative numbers, while Quadrant III cannot contain positive numbers.
  • On the other hand, we also have to understand that in a word problem, it is not enough that we know how to plot, but we also need to apply our learnings about counting, basic operations, the number line, and other basic mathematical knowledge.

Graph Points On The Coordinate Plane Worksheets

This is a fantastic bundle which includes everything you need to know about the graph points on the coordinate plane across 31 in-depth pages. These are ready-to-use Graph Points On The Coordinate Plane worksheets that are perfect for teaching students what the coordinate plane is, how to graph points in the coordinate plane, and how we can use the coordinate plane in solving mathematical problems.

Complete List Of Included Worksheets

  • Lesson Plan
  • Graph Points On The Coordinate Plane
  • Quadrant 1
  • What?
  • Two
  • Write
  • Q3
  • Identify
  • Fourth
  • Connect
  • Figure Out
  • Problems

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Link will appear as Graph Points On The Coordinate Plane Facts & Worksheets: https://kidskonnect.com - KidsKonnect, September 28, 2020

Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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