coordinate grid

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Y 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 7 8 9 10 11 12 X -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16
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Hi Im Rob Welcome to Math Antics In this lesson were gonna learn something thats an important foundation for tons of math problems including those youll encounter while learning basic Algebra Were gonna learn about graphing which basically means taking mathematical relationships and turning them into pictures Hey Friends welcome back to The Joy of Graphing Were gonna pick up right where we left off We already have this nice beautiful function right here But it needs a friend And were gonna do that by adding some points So lets put the next point right here Now all we need to do is connect those pointscuz theyre all friends And what to friends do They stay connected Oh and look at that Thats beautiful Well not the kind of picture that youd hang on your wall Graphing just means making a visual representation of an equation or data set so you can understand it better Its 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 graphing 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 its called The Coordinate Plane The coordinate plane is the platform or stage that our graphing will take place on But to understand how it works we first need to start with its closest relative; The Number Line You remember how a number line works right A number line starts at zero and represents positive numbers as you move to the right and negative numbers as you more to the left And theres usually marks showing where each integer is along the way Now imagine cloning that number line and rotating the copy counter-clockwise by 90 degrees so that the second number line is perpendicular to the first and they intersect at their zero points What we have now is a number plane Its basically like a 2-Dimensional version of a number line but that second dimension makes it much more useful With a simple 1-Dimensional number line we could show where various numbers were located along that line by drawing or plotting points But no matter how many points we plot theyre always on the same line But with a 2-Dimensional number plane we can plot points anywhere in that 2D area and that opens up a whole new world of possibilities With a 1-Dimensional number line plotting points was easy You just needed one number to tell you where to plot a point But with a 2-Dimensional number plane you actually need TWO numbers to plot each point These two numbers are called coordinates because theyre the same rank or order and they work together to specify the locations of a point on the number plane In fact thats why the number plane is often referred to as the coordinate plane Its the stage for plotting coordinates Coordinates use a special format to help you recognize them The two numbers are put inside parentheses with a comma between them as a separator So when you see 2 comma 5...
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