Graph and Interpret Coordinate Points - 5th Grade Math
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Which point lies on the $y$-axis: $(8, 0)$ or $(0, 8)$?
Which point lies on the $y$-axis: $(8, 0)$ or $(0, 8)$?
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$(0, 8)$. Points on $y$-axis have $x = 0$.
$(0, 8)$. Points on $y$-axis have $x = 0$.
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Which point is farther right: $A(2, 9)$ or $B(5, 1)$?
Which point is farther right: $A(2, 9)$ or $B(5, 1)$?
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$B(5, 1)$. Compare $x$-coordinates: $5 > 2$.
$B(5, 1)$. Compare $x$-coordinates: $5 > 2$.
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Which point is higher: $C(8, 3)$ or $D(4, 7)$?
Which point is higher: $C(8, 3)$ or $D(4, 7)$?
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$D(4, 7)$. Compare $y$-coordinates: $7 > 3$.
$D(4, 7)$. Compare $y$-coordinates: $7 > 3$.
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What is the ordered pair format for a point on the coordinate plane?
What is the ordered pair format for a point on the coordinate plane?
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$(x, y)$. The first value is $x$, the second is $y$.
$(x, y)$. The first value is $x$, the second is $y$.
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What does the $x$-coordinate tell you about a point in the first quadrant?
What does the $x$-coordinate tell you about a point in the first quadrant?
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Horizontal distance right from the origin. The $x$-coordinate measures position along the horizontal axis.
Horizontal distance right from the origin. The $x$-coordinate measures position along the horizontal axis.
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What does the $y$-coordinate tell you about a point in the first quadrant?
What does the $y$-coordinate tell you about a point in the first quadrant?
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Vertical distance up from the origin. The $y$-coordinate measures position along the vertical axis.
Vertical distance up from the origin. The $y$-coordinate measures position along the vertical axis.
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What are the coordinates of the origin on a coordinate plane?
What are the coordinates of the origin on a coordinate plane?
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$(0, 0)$. The origin is where both axes meet.
$(0, 0)$. The origin is where both axes meet.
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Which axis is the horizontal axis on a coordinate plane?
Which axis is the horizontal axis on a coordinate plane?
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The $x$-axis. The $x$-axis runs left-right through the origin.
The $x$-axis. The $x$-axis runs left-right through the origin.
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Which axis is the vertical axis on a coordinate plane?
Which axis is the vertical axis on a coordinate plane?
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The $y$-axis. The $y$-axis runs up-down through the origin.
The $y$-axis. The $y$-axis runs up-down through the origin.
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Identify the point: move $4$ units right and $2$ units up from $(0, 0)$.
Identify the point: move $4$ units right and $2$ units up from $(0, 0)$.
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$(4, 2)$. Right movement gives $x$, up movement gives $y$.
$(4, 2)$. Right movement gives $x$, up movement gives $y$.
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Identify the point: move $1$ unit right and $6$ units up from $(0, 0)$.
Identify the point: move $1$ unit right and $6$ units up from $(0, 0)$.
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$(1, 6)$. Right movement gives $x$, up movement gives $y$.
$(1, 6)$. Right movement gives $x$, up movement gives $y$.
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What point has $x = 7$ and $y = 3$?
What point has $x = 7$ and $y = 3$?
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$(7, 3)$. Write as $(x, y)$ with given values.
$(7, 3)$. Write as $(x, y)$ with given values.
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Which point lies on the $x$-axis: $(5, 0)$ or $(0, 5)$?
Which point lies on the $x$-axis: $(5, 0)$ or $(0, 5)$?
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$(5, 0)$. Points on $x$-axis have $y = 0$.
$(5, 0)$. Points on $x$-axis have $y = 0$.
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Interpret the point $(3, 5)$ if $x$ is days and $y$ is pages read.
Interpret the point $(3, 5)$ if $x$ is days and $y$ is pages read.
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In $3$ days, $5$ pages were read. The $x$-value represents time, $y$-value represents amount.
In $3$ days, $5$ pages were read. The $x$-value represents time, $y$-value represents amount.
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Interpret the point $(4, 12)$ if $x$ is hours and $y$ is dollars earned.
Interpret the point $(4, 12)$ if $x$ is hours and $y$ is dollars earned.
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In $4$ hours, $12$ dollars were earned. The $x$-value represents time, $y$-value represents amount.
In $4$ hours, $12$ dollars were earned. The $x$-value represents time, $y$-value represents amount.
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A map uses $x$ for blocks east and $y$ for blocks north; interpret $(2, 7)$.
A map uses $x$ for blocks east and $y$ for blocks north; interpret $(2, 7)$.
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$2$ blocks east and $7$ blocks north. The $x$-value gives east distance, $y$-value gives north distance.
$2$ blocks east and $7$ blocks north. The $x$-value gives east distance, $y$-value gives north distance.
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Identify the error: A student plotted $(2, 6)$ by moving up $2$ and right $6$.
Identify the error: A student plotted $(2, 6)$ by moving up $2$ and right $6$.
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They swapped coordinates; go right $2$, up $6$. First coordinate is horizontal, second is vertical.
They swapped coordinates; go right $2$, up $6$. First coordinate is horizontal, second is vertical.
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Find and correct the error: “The point $(2,9)$ means go up $2$ and right $9$.”
Find and correct the error: “The point $(2,9)$ means go up $2$ and right $9$.”
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Correct: go right $2$ and up $9$. $(2,9)$ means $x=2$ (right) and $y=9$ (up), not the reverse.
Correct: go right $2$ and up $9$. $(2,9)$ means $x=2$ (right) and $y=9$ (up), not the reverse.
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What does the first number $x$ in an ordered pair $(x,y)$ represent?
What does the first number $x$ in an ordered pair $(x,y)$ represent?
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$x$ is the horizontal position (along the $x$-axis). It tells how far to move right from the origin.
$x$ is the horizontal position (along the $x$-axis). It tells how far to move right from the origin.
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What does the second number $y$ in an ordered pair $(x,y)$ represent?
What does the second number $y$ in an ordered pair $(x,y)$ represent?
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$y$ is the vertical position (along the $y$-axis). It tells how far to move up from the origin.
$y$ is the vertical position (along the $y$-axis). It tells how far to move up from the origin.
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