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In mathematics, we use a grid to locate points.
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The coordinate plane is formed by the perpendicular intersection of two number lines called axes.
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Horizontal axis is called the x-axis
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Vertical axis is called the y-axis
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The intersection of the two axes is called the origin
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The intersection of the two number lines forms four quadrants.
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Divides into Four Quadrants I
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Divides into Four Quadrants I II
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Divides into Four Quadrants I II III
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Divides into Four Quadrants I II III IV
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Divides into Four Quadrants and… I II III IV
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Math Alert The quadrants do not include the axes I II III IV
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Math Alert A point on the x or y axis is not in a quadrant I II III IV
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Each point in the coordinate plane is associated with an ordered pair, (x,y) (x,y)
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The x and y of the ordered pair, (x,y), are called its coordinates (x,y)
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Math Alert There is an infinite amount of points in the Cartesian plane
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Always start at (0,0)---every point “originates” at the origin
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In plotting (x,y) ---remember the directions of both the x and y axis y x
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( x,---) x-axis goes left and right
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( ---, y ) y-axis goes up and down
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Start at (0,0) (, ---) Move right 2 +
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(---, ) (---, 1) Move up 1 +
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Start at (0,0) (, ---) Move right 4 +
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(---, ) (---, -2) Move down 2 -
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Start at (0,0) (, ---) Move left 3 -
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(---, ) (---, 5) Move up 5 +
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Start at (0,0) (none,---) No move right or left
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(0, ) (---, 4) Move up 4 +
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Start at (0,0) (,---) Move left 5
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( ---, 0) No move up or down
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Approximate the coordinates of the point--- Or what is the ‘(x,y)’ of the point? Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Approximate the coordinates of the point Directions:
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Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:
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Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:
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Find the coordinates of the point on the x-axis and three units to the left of the y-axis Directions:
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Find the coordinates of a point on the x-axis and three units to the left of the y-axis Directions:
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