The location of 3,2 is shown on the coordinate plane below. The x -coordinate is 3. The y -coordinate is 2. To locate 3,2 , move 3 units to the right on the x -axis and 2 units up on the y -axis. The coordinate axes divide the plane into four regions called quadrants or sometimes grid quadrants or Cartesian coordinate quadrants.
Students often ask, how are quadrants numbered? A common heuristic is to think of the numbering happening in the same order that we write the letter C.
In Grade 5, students do not usually need to know the numbering system, but should recognize that the appropriate quadrants for ordered pairs can be identified according to the signs of the numbers.
There are many opportunities for discourse that focus on all quadrants of the coordinate plane. Have students brainstorm how someone making an animation or video game might use it, for example.
Or show students a variety of graphs taken from different activities and books and have them share what they notice and wonder.
A coordinate plane lets you both visualize and calculate the length of a line segment. Although students do not learn to calculate the length of slanted line segments until learning the Pythagorean Theorem typically in Grade 8 , a four-quadrant plane is enough to find the length of horizontal or vertical line segments.
For horizontal line segments, the length is the difference between the x -coordinates of the endpoints. For vertical line segments, the length is the difference between the y -coordinates of the endpoints.
Around Grade 5, functions are graphed from tables of given values. All values are positive, thus the graphs of functions studied in this chapter are in Quadrant I only. Formal definitions and extended work with functions are usually not taught until at least Grade 8. A function is a rule that associates one and only one value of one variable with each value of another variable. For each value of x , there is one and only one value of y:. If an equation includes x and y and has the property that for each x , the equation can be solved to give exactly one value of y , then the equation is a function.
The graph of a linear equation is a straight line. One way to see this is to create a table of values for x and y , and then interpret each row of the table as the x - and y -coordinates of points in the coordinate plane. When you connect the points, you get a line. Graphing the points in the table shown means placing a dot at the points — 2,1 , — 1,2 , 0,3 , 1,4 , and 2,5.
Then connect the points with a straight line. Video transcript In which quadrant is the point negative 7 comma 7 located? So let's just review what a quadrant is. A quadrant are each of the four sections of the coordinate plane. And when we talk about the sections, we're talking about the sections as divided by the coordinate axes. So this right here is the x-axis and this up-down axis is the y-axis. And you can see it divides a coordinate plane into four sections. We call each of these sections quadrants.
This one over here, where both the x-values and the y-values are positive, we call the first quadrant. And we use the Roman numeral I. Then if we kind of move counterclockwise around the coordinate plane, this quadrant where the x-values are negative and the y-values are positive, we call this the second quadrant. I could write it. We call this the second quadrant. Then we go down here where both the x-values are negative and the y-values are negative. We call this the third quadrant, once again using Roman numerals.
Then finally the quadrant where the x-values are positive but the y-values are negative, we call this the fourth quadrant.
So let's see which quadrant the point negative 7 comma 7 is located. So there's two ways to think about it. Sign up or log in Sign up using Google. Sign up using Facebook.
Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile. The unofficial elections nomination post.
Linked 2. Related Hot Network Questions. Question feed. Mathematics Stack Exchange works best with JavaScript enabled.
0コメント