# Quadrants

The coordinate plane is formed by two axes that are perpendicular to one another. As a result, four distinct regions form. Each of these regions has their ordered pairs follow a trend. This labelling system can be helpful to communicate where a data point lies. It is also has tremendous value when you are comparing several characteristics of your dual data points. These worksheets and lessons will help students learn all the ins and outs of understanding the use of quadrants within a coordinate grid.

### Aligned Standard: 6.NS.C.6.B

- Understanding Quadrants Step By Step Lesson- We work on basic descriptions for the location of points from ordered pairs.
- Guided Lesson - You're given four points and asked to plot them and name their location.
- Guided Lesson Explanation - We expect that you understand how to plot ordered pairs at this point in time.
- Quadrants & Axes Worksheet - We give you a bunch of points on a coordinate plane and ask you who is where.
- Point Location Charts - Tell us how you would describe the ordered pair's location.
- Four Quadrant Graphing Puzzle - We ask you to create a shape / object from the given points.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

The homework covers all four skills that we have previously seen.

- Homework 1 - Write the points belonging to each quadrant or axis.
- Homework 2 - Tick the relevant box for each ordered pair.
- Homework 3 - Connect the sequence of points with line segments.
- Homework 4 - Plot the following points in the grid and identify the quadrant in which they li.

### Practice Worksheets

We focus on describing where the points are found on the coordinate plane.

- Practice 1 - We should review the six positions found on the coordinate plane.
- Practice 2 - Identify the quadrant in which the point ( -1, 2) lies.
- Practice 3 - Use the diagram to the right. Note that points that do not fall on the x or y‐axis are found in one of the four quadrants listed to the right.
- Practice 4 - Where does it all fall? Name all the points that you can find.

### Math Skill Quizzes

The skills that you learn here are key military skills that are taught at boot camps everywhere.

- Quiz 1 - Interpret the location of the points.
- Quiz 2 - Tom moves from the point (3, 0) to a point 3 units up. To which quadrant did Tom move?
- Quiz 3 - Which point lies in the second quadrant?
- Quiz 4 - Which of the following quadrants is the ordered pair (1, - 4) located in?

### What Are Graph Quadrants Used For?

The Coordinate or Cartesian plane has four quadrants on the plane that contains both negative and positive values. The perpendicular angle that both axes form create these four areas in these systems. There are many different times that we want to quickly spot an ordered pair or communication a general location to another person, this is where this labelling system shines. The first one has all positive values and the axis is the x-axis. The second has negative x and positive y values. The thirds quadrant has both negative x and y values, and the last quadrant, which is the fourth quadrant, has positive x and negative y-values.

These quadrants are used when you have a collection of data that represents both positive and negative reviews of people about a certain thing. For example, a survey conducted on YouTube examined the level of importance that people give to descriptions of the videos. On a scale of -10(least) to 10 (greatest). 0 would mean users pay no attention to the descriptions and a 10 would mean that they only view videos that have a solid description. A negative value would indicate a level of disdain for YouTube in general. Some might give decide descriptions have a 4 level of importance, some 6, some 2 while others who do not use YouTube or considers it a waste of time might give it -5, -3. And others stay neutral giving a 0 to the application. You ask the same question to the same people but about texting. Now you have two answers from each person. This is where you can now use quadrants to plot the answer of each person. Make x-axis about Youtube and y-axis about texting.

This is where quadrants come in really handy because it allows us to break these data into four segments: Those that love both video descriptions and texting, those that dislike both, those that love video descriptions and do not like texting, those that do not like video descriptions and like texting. Depending on where your data falls on this into the various quadrants, you can better understand where the majority of the people stand on these two issues.