Reading Coordinates - ISEE Lower Level: Mathematics Achievement
Card 1 of 25
Which direction does the $y$-coordinate increase on a standard coordinate grid?
Which direction does the $y$-coordinate increase on a standard coordinate grid?
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Upward. Positive $y$-values increase as you move upward from the origin along the $y$-axis.
Upward. Positive $y$-values increase as you move upward from the origin along the $y$-axis.
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What is the ordered pair format used to name a point on a coordinate grid?
What is the ordered pair format used to name a point on a coordinate grid?
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$(x, y)$. The ordered pair format specifies a point's position with the horizontal coordinate first and the vertical coordinate second on the grid.
$(x, y)$. The ordered pair format specifies a point's position with the horizontal coordinate first and the vertical coordinate second on the grid.
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What are the coordinates of the point that is $3$ units right of the origin and on the $x$-axis?
What are the coordinates of the point that is $3$ units right of the origin and on the $x$-axis?
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$(3, 0)$. Points on the $x$-axis have $y=0$, and right of the origin means a positive $x$-coordinate.
$(3, 0)$. Points on the $x$-axis have $y=0$, and right of the origin means a positive $x$-coordinate.
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Identify the point with $x = -3$ and $y = 6$ as an ordered pair.
Identify the point with $x = -3$ and $y = 6$ as an ordered pair.
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$(-3, 6)$. The ordered pair is formed by placing the given $x$-value first and $y$-value second.
$(-3, 6)$. The ordered pair is formed by placing the given $x$-value first and $y$-value second.
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What are the coordinates of the point that is $4$ units below the origin and on the $y$-axis?
What are the coordinates of the point that is $4$ units below the origin and on the $y$-axis?
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$(0, -4)$. Points on the $y$-axis have $x=0$, and below the origin means a negative $y$-coordinate.
$(0, -4)$. Points on the $y$-axis have $x=0$, and below the origin means a negative $y$-coordinate.
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Which ordered pair has the same location as “$2$ units left and $5$ units up”?
Which ordered pair has the same location as “$2$ units left and $5$ units up”?
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$(-2, 5)$. Left movement corresponds to a negative $x$-value, and up corresponds to a positive $y$-value from the origin.
$(-2, 5)$. Left movement corresponds to a negative $x$-value, and up corresponds to a positive $y$-value from the origin.
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Which ordered pair has the same location as “$7$ units right and $1$ unit down”?
Which ordered pair has the same location as “$7$ units right and $1$ unit down”?
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$(7, -1)$. Right movement corresponds to a positive $x$-value, and down corresponds to a negative $y$-value from the origin.
$(7, -1)$. Right movement corresponds to a positive $x$-value, and down corresponds to a negative $y$-value from the origin.
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Identify the point with $x = 10$ and $y = -2$ as an ordered pair.
Identify the point with $x = 10$ and $y = -2$ as an ordered pair.
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$(10, -2)$. The ordered pair is formed by placing the given $x$-value first and $y$-value second.
$(10, -2)$. The ordered pair is formed by placing the given $x$-value first and $y$-value second.
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What does the first number in an ordered pair $(x, y)$ represent on a grid?
What does the first number in an ordered pair $(x, y)$ represent on a grid?
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$x$-coordinate (horizontal position). The first number indicates the horizontal distance from the origin along the $x$-axis.
$x$-coordinate (horizontal position). The first number indicates the horizontal distance from the origin along the $x$-axis.
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Find the missing coordinate: If a point is $(8, y)$ on the $x$-axis, what is $y$?
Find the missing coordinate: If a point is $(8, y)$ on the $x$-axis, what is $y$?
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$0$. Points on the $x$-axis require the $y$-coordinate to be zero regardless of the $x$-value.
$0$. Points on the $x$-axis require the $y$-coordinate to be zero regardless of the $x$-value.
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Find the missing coordinate: If a point is $(x, -5)$ on the $y$-axis, what is $x$?
Find the missing coordinate: If a point is $(x, -5)$ on the $y$-axis, what is $x$?
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$0$. Points on the $y$-axis require the $x$-coordinate to be zero regardless of the $y$-value.
$0$. Points on the $y$-axis require the $x$-coordinate to be zero regardless of the $y$-value.
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Find and correct the ordered pair if a student wrote $(y, x)$ instead of $(x, y)$ for $x = 2$, $y = -9$.
Find and correct the ordered pair if a student wrote $(y, x)$ instead of $(x, y)$ for $x = 2$, $y = -9$.
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Correct ordered pair: $(2, -9)$. The standard ordered pair format requires $x$ first and $y$ second, so reversing the student's $(y, x)$ gives the correct pair.
Correct ordered pair: $(2, -9)$. The standard ordered pair format requires $x$ first and $y$ second, so reversing the student's $(y, x)$ gives the correct pair.
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What is the name of the vertical axis on a coordinate grid?
What is the name of the vertical axis on a coordinate grid?
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$y$-axis. The vertical axis runs up and down and is labeled as the $y$-axis in a coordinate plane.
$y$-axis. The vertical axis runs up and down and is labeled as the $y$-axis in a coordinate plane.
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Identify the coordinates of a point on the $x$-axis that is $12$ units left of the origin.
Identify the coordinates of a point on the $x$-axis that is $12$ units left of the origin.
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$(-12, 0)$. Points on the $x$-axis have $y=0$, and left of the origin means a negative $x$-coordinate.
$(-12, 0)$. Points on the $x$-axis have $y=0$, and left of the origin means a negative $x$-coordinate.
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What is the name of the horizontal axis on a coordinate grid?
What is the name of the horizontal axis on a coordinate grid?
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$x$-axis. The horizontal axis runs left to right and is labeled as the $x$-axis in a coordinate plane.
$x$-axis. The horizontal axis runs left to right and is labeled as the $x$-axis in a coordinate plane.
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What does the second number in an ordered pair $(x, y)$ represent on a grid?
What does the second number in an ordered pair $(x, y)$ represent on a grid?
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$y$-coordinate (vertical position). The second number indicates the vertical distance from the origin along the $y$-axis.
$y$-coordinate (vertical position). The second number indicates the vertical distance from the origin along the $y$-axis.
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What is the name of the point where the $x$-axis and $y$-axis intersect?
What is the name of the point where the $x$-axis and $y$-axis intersect?
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The origin, $(0, 0)$. The axes intersect at the reference point called the origin, where both coordinates are zero.
The origin, $(0, 0)$. The axes intersect at the reference point called the origin, where both coordinates are zero.
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What is the coordinate of any point located on the $x$-axis (in terms of $y$)?
What is the coordinate of any point located on the $x$-axis (in terms of $y$)?
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$y = 0$. Any point on the $x$-axis has no vertical displacement from the origin, so its $y$-coordinate is zero.
$y = 0$. Any point on the $x$-axis has no vertical displacement from the origin, so its $y$-coordinate is zero.
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What is the coordinate of any point located on the $y$-axis (in terms of $x$)?
What is the coordinate of any point located on the $y$-axis (in terms of $x$)?
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$x = 0$. Any point on the $y$-axis has no horizontal displacement from the origin, so its $x$-coordinate is zero.
$x = 0$. Any point on the $y$-axis has no horizontal displacement from the origin, so its $x$-coordinate is zero.
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Which direction does the $x$-coordinate increase on a standard coordinate grid?
Which direction does the $x$-coordinate increase on a standard coordinate grid?
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To the right. Positive $x$-values increase as you move rightward from the origin along the $x$-axis.
To the right. Positive $x$-values increase as you move rightward from the origin along the $x$-axis.
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What are the coordinates of a point that is $4$ units right and $3$ units up from the origin?
What are the coordinates of a point that is $4$ units right and $3$ units up from the origin?
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$(4, 3)$. Moving right from the origin gives a positive $x$-coordinate, and up gives a positive $y$-coordinate.
$(4, 3)$. Moving right from the origin gives a positive $x$-coordinate, and up gives a positive $y$-coordinate.
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What are the coordinates of a point that is $6$ units left and $2$ units up from the origin?
What are the coordinates of a point that is $6$ units left and $2$ units up from the origin?
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$(-6, 2)$. Moving left from the origin gives a negative $x$-coordinate, and up gives a positive $y$-coordinate.
$(-6, 2)$. Moving left from the origin gives a negative $x$-coordinate, and up gives a positive $y$-coordinate.
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What are the coordinates of a point that is $5$ units left and $7$ units down from the origin?
What are the coordinates of a point that is $5$ units left and $7$ units down from the origin?
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$(-5, -7)$. Moving left from the origin gives a negative $x$-coordinate, and down gives a negative $y$-coordinate.
$(-5, -7)$. Moving left from the origin gives a negative $x$-coordinate, and down gives a negative $y$-coordinate.
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What are the coordinates of a point that is $1$ unit right and $8$ units down from the origin?
What are the coordinates of a point that is $1$ unit right and $8$ units down from the origin?
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$(1, -8)$. Moving right from the origin gives a positive $x$-coordinate, and down gives a negative $y$-coordinate.
$(1, -8)$. Moving right from the origin gives a positive $x$-coordinate, and down gives a negative $y$-coordinate.
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Identify the coordinates of a point on the $y$-axis that is $9$ units above the origin.
Identify the coordinates of a point on the $y$-axis that is $9$ units above the origin.
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$(0, 9)$. Points on the $y$-axis have $x=0$, and above the origin means a positive $y$-coordinate.
$(0, 9)$. Points on the $y$-axis have $x=0$, and above the origin means a positive $y$-coordinate.
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