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Graphing means making a visual representation of an equation or data set so you can understand it better. It’s a way of helping you literally SEE how math works. When math is just a bunch of numbers and symbols on a page, it can be pretty abstract and hard to relate to. But ______ is like a window into the abstract world of math that helps us see it more clearly. In fact, the focus of our lesson today actually looks a bit like a window. …and it’s called “The Coordinate Plane”. The coordinate plane is the platform or stage that our ______ will take place on.
graphing
Hey Friends, welcome back to The Joy of Graphing. We’re gonna pick up right where we left off. We already have this nice, beautiful function right here. But it needs a friend. And we’re gonna do that by adding some ______. So let’s put the next point right here. Now all we need to do is connect those ______…cuz they’re all friends. And what to friends do. They stay connected. Oh and look at that… That’s beautiful. Well, not the kind of picture that you’d hang on your wall.
points
Welcome to Math Antics. In this lesson, we’re gonna learn something that’s an important foundation for tons of math problems, including those you’ll encounter while learning basic ______. We’re gonna learn about graphing, which basically means taking mathematical relationships and turning them into pictures.
Algebra
The coordinate ______ is the platform or stage that our graphing will take place on.
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The focus of our lesson today actually looks a bit like a window. …and it’s called “The ______ Plane”.
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Quadrant 2 contains all of the points that have a ______ X value and a positive Y value
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Quadrant 3 contains all of the points that have both a ______ X and a ______ Y value
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Algebra involves many different types of equations and functions that are a lot easier to understand if we graph their solutions on the ______ plane
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The way to really get good at math is to practice what you’ve learned by doing some exercise ______
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Doing this sweeps out a shape called a unit circle which is divided into ______ quadrants just like the coordinate plane
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Coordinates are represented in a special format with two numbers inside parentheses, separated by a comma
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The two perpendicular number lines in the coordinate plane are referred to as the 'X-axis' and 'Y-axis'
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The first coordinate number is the X value, and the second is the Y value, always listed in the order ______
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To plot a point using coordinates, the first number indicates the location along the X-axis, and the second number indicates the location along the Y-axis
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An alternative intuitive method for plotting points involves starting at the ______ (0, 0) and moving the point according to the X and Y values in the ordered pair
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Study Notes
Understanding the Coordinate Plane
- The coordinate plane is a 2-dimensional version of a number line, formed by combining two perpendicular number lines.
- It is also referred to as the "coordinate plane" and serves as the stage for plotting coordinates.
- Coordinates are represented in a special format with two numbers inside parentheses, separated by a comma.
- The two perpendicular number lines in the coordinate plane are referred to as the "X-axis" and "Y-axis."
- The X-axis is horizontal, and the Y-axis is vertical, often referred to by variable-based names, X and Y.
- The first coordinate number is the X value, and the second is the Y value, always listed in the order X, Y.
- Coordinates are often called "ordered pairs" and are used to plot points on the coordinate plane.
- To plot a point using coordinates, the first number indicates the location along the X-axis, and the second number indicates the location along the Y-axis.
- The point is located at the intersection of the lines representing the X and Y values on the coordinate plane.
- An alternative intuitive method for plotting points involves starting at the origin (0, 0) and moving the point according to the X and Y values in the ordered pair.
- Understanding the coordinate plane and plotting points using coordinates provides a visual representation of 2-dimensional space.
- This method is a fundamental concept in mathematics and has various applications in geometry, algebra, and other fields.
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Description
Test your knowledge of the coordinate plane with this quiz. Explore the fundamentals of plotting points, understanding ordered pairs, and navigating the X and Y axes to visualize 2-dimensional space.
