Position Rational Numbers on Diagrams - 6th Grade Math
Card 1 of 25
Identify the point halfway between $-2$ and $4$ on a number line.
Identify the point halfway between $-2$ and $4$ on a number line.
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$1$. Average the endpoints: $\frac{-2+4}{2}=\frac{2}{2}=1$.
$1$. Average the endpoints: $\frac{-2+4}{2}=\frac{2}{2}=1$.
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Which axis contains all points of the form $(0,y)$?
Which axis contains all points of the form $(0,y)$?
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The $y$-axis. Points with $x=0$ lie on the vertical axis.
The $y$-axis. Points with $x=0$ lie on the vertical axis.
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In an ordered pair $(x,y)$, which coordinate tells left or right position on the plane?
In an ordered pair $(x,y)$, which coordinate tells left or right position on the plane?
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The $x$-coordinate. First coordinate controls horizontal position.
The $x$-coordinate. First coordinate controls horizontal position.
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What are the coordinates of the origin on the coordinate plane?
What are the coordinates of the origin on the coordinate plane?
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$(0,0)$. The origin is where both axes intersect.
$(0,0)$. The origin is where both axes intersect.
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Identify the location of the point $(0,-3)$.
Identify the location of the point $(0,-3)$.
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On the $y$-axis, $3$ units below the origin. $x=0$ means on $y$-axis; $y=-3$ means 3 units down.
On the $y$-axis, $3$ units below the origin. $x=0$ means on $y$-axis; $y=-3$ means 3 units down.
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What does it mean for a number to be to the right of another number on a number line?
What does it mean for a number to be to the right of another number on a number line?
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It is greater: if $a$ is right of $b$, then $a>b$. Numbers increase from left to right on horizontal number lines.
It is greater: if $a$ is right of $b$, then $a>b$. Numbers increase from left to right on horizontal number lines.
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Identify the location of the point $(5,0)$.
Identify the location of the point $(5,0)$.
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On the $x$-axis, $5$ units right of the origin. $y=0$ means on $x$-axis; $x=5$ means 5 units right.
On the $x$-axis, $5$ units right of the origin. $y=0$ means on $x$-axis; $x=5$ means 5 units right.
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Which point is farther right: $(-1,2)$ or $(3,2)$?
Which point is farther right: $(-1,2)$ or $(3,2)$?
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$(3,2)$. Compare $x$-coordinates: $3>-1$, so $(3,2)$ is farther right.
$(3,2)$. Compare $x$-coordinates: $3>-1$, so $(3,2)$ is farther right.
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Which axis contains all points of the form $(x,0)$?
Which axis contains all points of the form $(x,0)$?
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The $x$-axis. Points with $y=0$ lie on the horizontal axis.
The $x$-axis. Points with $y=0$ lie on the horizontal axis.
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Identify the quadrant for the point $(2,-7)$.
Identify the quadrant for the point $(2,-7)$.
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Quadrant $IV$. Quadrant IV has positive $x$ and negative $y$.
Quadrant $IV$. Quadrant IV has positive $x$ and negative $y$.
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What is the ordered pair for a point with $x=3$ and $y=-2$ on the coordinate plane?
What is the ordered pair for a point with $x=3$ and $y=-2$ on the coordinate plane?
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$(3,-2)$. Write coordinates as $(x,y)$ in that order.
$(3,-2)$. Write coordinates as $(x,y)$ in that order.
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In an ordered pair $(x,y)$, which coordinate tells up or down position on the plane?
In an ordered pair $(x,y)$, which coordinate tells up or down position on the plane?
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The $y$-coordinate. Second coordinate controls vertical position.
The $y$-coordinate. Second coordinate controls vertical position.
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Which number is farther to the left on a number line: $-1$ or $2$?
Which number is farther to the left on a number line: $-1$ or $2$?
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$-1$. Negative numbers are left of zero; positive numbers are right.
$-1$. Negative numbers are left of zero; positive numbers are right.
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Which number is greater on a number line: $-3$ or $-5$?
Which number is greater on a number line: $-3$ or $-5$?
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$-3$. $-3$ is to the right of $-5$ on the number line.
$-3$. $-3$ is to the right of $-5$ on the number line.
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What does it mean for a number to be above another number on a vertical number line?
What does it mean for a number to be above another number on a vertical number line?
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It is greater: if $a$ is above $b$, then $a>b$. Numbers increase from bottom to top on vertical number lines.
It is greater: if $a$ is above $b$, then $a>b$. Numbers increase from bottom to top on vertical number lines.
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Identify the quadrant for the point $(-4,5)$.
Identify the quadrant for the point $(-4,5)$.
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Quadrant $II$. Quadrant II has negative $x$ and positive $y$.
Quadrant $II$. Quadrant II has negative $x$ and positive $y$.
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Identify the point: move $4$ units left and $5$ units up from the origin.
Identify the point: move $4$ units left and $5$ units up from the origin.
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$(-4,5)$. Left is negative $x$, up is positive $y$.
$(-4,5)$. Left is negative $x$, up is positive $y$.
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Identify the point: move $3$ units right and $2$ units down from the origin.
Identify the point: move $3$ units right and $2$ units down from the origin.
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$(3,-2)$. Right is positive $x$, down is negative $y$.
$(3,-2)$. Right is positive $x$, down is negative $y$.
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Which quadrant contains the point $(4,-1)$?
Which quadrant contains the point $(4,-1)$?
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Quadrant IV. Quadrant IV has positive $x$ and negative $y$.
Quadrant IV. Quadrant IV has positive $x$ and negative $y$.
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Which axis contains points with $x=0$?
Which axis contains points with $x=0$?
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The $y$-axis. Points on vertical axis have zero horizontal displacement.
The $y$-axis. Points on vertical axis have zero horizontal displacement.
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Which number is farther right on a number line: $-3$ or $2$?
Which number is farther right on a number line: $-3$ or $2$?
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$2$. Positive numbers are always right of negative numbers.
$2$. Positive numbers are always right of negative numbers.
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Which quadrant contains the point $(-2,3)$?
Which quadrant contains the point $(-2,3)$?
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Quadrant II. Quadrant II has negative $x$ and positive $y$.
Quadrant II. Quadrant II has negative $x$ and positive $y$.
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Which number is farther left on a number line: $-7$ or $-2$?
Which number is farther left on a number line: $-7$ or $-2$?
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$-7$. Smaller negative numbers are farther left.
$-7$. Smaller negative numbers are farther left.
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Identify the correct order from least to greatest: $-1$, $0$, $-2$, $3$.
Identify the correct order from least to greatest: $-1$, $0$, $-2$, $3$.
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$-2, -1, 0, 3$. Arrange from smallest (most negative) to largest.
$-2, -1, 0, 3$. Arrange from smallest (most negative) to largest.
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What is the value of the point halfway between $-4$ and $2$ on a number line?
What is the value of the point halfway between $-4$ and $2$ on a number line?
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$-1$. Average the endpoints: $\frac{-4+2}{2} = -1$.
$-1$. Average the endpoints: $\frac{-4+2}{2} = -1$.
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