Place Unit Fractions on Number Lines - 3rd Grade Math
Card 1 of 15
What fraction is the endpoint of the first part based at $0$ when the whole is partitioned into $2$ equal parts?
What fraction is the endpoint of the first part based at $0$ when the whole is partitioned into $2$ equal parts?
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$\frac{1}{2}$. Dividing into 2 parts makes each part half the whole.
$\frac{1}{2}$. Dividing into 2 parts makes each part half the whole.
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What does it mean to partition the interval from $0$ to $1$ into $b$ equal parts?
What does it mean to partition the interval from $0$ to $1$ into $b$ equal parts?
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Divide the segment from $0$ to $1$ into $b$ equal lengths. Creates $b$ segments of equal length between $0$ and $1$.
Divide the segment from $0$ to $1$ into $b$ equal lengths. Creates $b$ segments of equal length between $0$ and $1$.
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What is the unit fraction at the first tick mark right of $0$ when $0$ to $1$ is split into $4$ equal parts?
What is the unit fraction at the first tick mark right of $0$ when $0$ to $1$ is split into $4$ equal parts?
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$
$$\frac{1}{4}$$. First of $4$ equal parts from $0$ to $1$ represents one-fourth.
$ $$\frac{1}{4}$$. First of $4$ equal parts from $0$ to $1$ represents one-fourth.
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What is the unit fraction at the first tick mark right of $0$ when $0$ to $1$ is split into $6$ equal parts?
What is the unit fraction at the first tick mark right of $0$ when $0$ to $1$ is split into $6$ equal parts?
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$
$$\frac{1}{6}$$. First of $6$ equal parts from $0$ to $1$ represents one-sixth.
$ $$\frac{1}{6}$$. First of $6$ equal parts from $0$ to $1$ represents one-sixth.
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Which fraction is located at the first partition point after $0$ if the whole is divided into $8$ equal parts?
Which fraction is located at the first partition point after $0$ if the whole is divided into $8$ equal parts?
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$
$$\frac{1}{8}$$. First of $8$ equal divisions represents one-eighth of the whole.
$ $$\frac{1}{8}$$. First of $8$ equal divisions represents one-eighth of the whole.
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Identify $b$: if the first point after $0$ is labeled $
$$\frac{1}{5}$$, how many equal parts is $0$ to $1$ divided into?
Identify $b$: if the first point after $0$ is labeled $ $$\frac{1}{5}$$, how many equal parts is $0$ to $1$ divided into?
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$5$ equal parts. The denominator $5$ in $\frac{1}{5}$ shows the number of partitions.
$5$ equal parts. The denominator $5$ in $\frac{1}{5}$ shows the number of partitions.
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Identify $b$: if the first point after $0$ is $
$$\frac{1}{10}$$, how many equal parts partition the whole from $0$ to $1$?
Identify $b$: if the first point after $0$ is $ $$\frac{1}{10}$$, how many equal parts partition the whole from $0$ to $1$?
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$10$ equal parts. The denominator $10$ in $\frac{1}{10}$ indicates $10$ partitions.
$10$ equal parts. The denominator $10$ in $\frac{1}{10}$ indicates $10$ partitions.
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Identify the location of $
$$\frac{1}{b}$$: is it between $0$ and $1$, or greater than $1$?
Identify the location of $ $$\frac{1}{b}$$: is it between $0$ and $1$, or greater than $1$?
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It is between $0$ and $1$. Unit fractions $\frac{1}{b}$ are always less than $1$.
It is between $0$ and $1$. Unit fractions $\frac{1}{b}$ are always less than $1$.
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Find and correct the error: “To plot $
$$\frac{1}{4}$$, divide $0$ to $1$ into $1$ equal part.” What should it say?
Find and correct the error: “To plot $ $$\frac{1}{4}$$, divide $0$ to $1$ into $1$ equal part.” What should it say?
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Divide $0$ to $1$ into $4$ equal parts. The denominator $4$ requires $4$ partitions, not $1$.
Divide $0$ to $1$ into $4$ equal parts. The denominator $4$ requires $4$ partitions, not $1$.
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What must be true about the parts when you partition $0$ to $1$ into $b$ parts to represent $\frac{1}{b}$ correctly?
What must be true about the parts when you partition $0$ to $1$ into $b$ parts to represent $\frac{1}{b}$ correctly?
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All $b$ parts must be equal in length. Equal partitioning ensures each segment represents $\frac{1}{b}$.
All $b$ parts must be equal in length. Equal partitioning ensures each segment represents $\frac{1}{b}$.
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Which fraction names one equal part when the whole from $0$ to $1$ is partitioned into $3$ equal parts?
Which fraction names one equal part when the whole from $0$ to $1$ is partitioned into $3$ equal parts?
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$\frac{1}{3}$. Each of 3 equal parts has size one-third of the whole.
$\frac{1}{3}$. Each of 3 equal parts has size one-third of the whole.
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Find and correct the error: “$
$$\frac{1}{6}$$ is at the sixth tick mark after $0$.” Where is $
$\frac{1}{6}$?
Find and correct the error: “$ $$\frac{1}{6}$$ is at the sixth tick mark after $0$.” Where is $ $\frac{1}{6}$?
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At the first tick mark after $0$ when there are $6$ equal parts. $\frac{1}{6}$ is one-sixth of the way, not six-sixths.
At the first tick mark after $0$ when there are $6$ equal parts. $\frac{1}{6}$ is one-sixth of the way, not six-sixths.
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Which option correctly describes how to locate $
$$\frac{1}{9}$$ on a number line from $0$ to $1$?
Which option correctly describes how to locate $ $$\frac{1}{9}$$ on a number line from $0$ to $1$?
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Partition $0$ to $1$ into $9$ equal parts; mark the first endpoint after $0$. Correctly identifies the two-step process for locating $\frac{1}{9}$.
Partition $0$ to $1$ into $9$ equal parts; mark the first endpoint after $0$. Correctly identifies the two-step process for locating $\frac{1}{9}$.
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What is the endpoint value of the first segment starting at $0$ if the whole from $0$ to $1$ is divided into $b$ equal parts?
What is the endpoint value of the first segment starting at $0$ if the whole from $0$ to $1$ is divided into $b$ equal parts?
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$\frac{1}{b}$. The first segment endpoint represents one part of $b$ equal parts.
$\frac{1}{b}$. The first segment endpoint represents one part of $b$ equal parts.
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What interval on a number line is defined as the whole when placing $\frac{1}{b}$?
What interval on a number line is defined as the whole when placing $\frac{1}{b}$?
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The interval from $0$ to $1$ is the whole. This establishes the unit interval as one whole for fraction representation.
The interval from $0$ to $1$ is the whole. This establishes the unit interval as one whole for fraction representation.
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