Fractions on a Number Line — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A number line from 0 to 1 cut into 4 equal parts shows thirds in Grade 3.
Corrected: A number line from 0 to 1 cut into 4 equal parts shows fourths in Grade 3.
In Grade 3, four equal parts from 0 to 1 are fourths, so the denominator is 4, not 3.
2. Fix the sentence:
The first tick after 0 on a line split into 6 equal parts is 1/3 in Grade 3.
Corrected: The first tick after 0 on a line split into 6 equal parts is 1/6 in Grade 3.
In Grade 3, six equal parts make sixths, so the first tick after 0 names the unit fraction 1/6.
3. Fix the sentence:
In Grade 3, cutting 0 to 1 into 2 equal parts gives fourths on the number line.
Corrected: In Grade 3, cutting 0 to 1 into 2 equal parts gives halves on the number line.
Grade 3 students learn that 2 equal partitions of 0 to 1 create halves with denominator 2.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, a number line from 0 to 1 split into 3 equal parts shows thirds.
Three equal partitions of the whole from 0 to 1 are called thirds in Grade 3.
2. In Grade 3, the first tick after 0 on a line partitioned into 4 equal parts is 1/4.
With 4 equal parts the unit fraction is 1/4, so the first tick after 0 is 1/4 in Grade 3.
3. In Grade 3, a number line split into 6 equal parts between 0 and 1 shows sixths.
Six equal partitions from 0 to 1 are sixths, a key Grade 3 fraction vocabulary word.
4. In Grade 3, the unit fraction on a number line split into 2 equal parts is 1/2.
Two equal parts means each part is 1/2, the unit fraction Grade 3 students plot first.
Part C: True or False?
Read each statement. Circle True or False.
1. In Grade 3, a number line from 0 to 1 cut into 4 equal parts shows fourths.
True False
Four equal partitions from 0 to 1 are fourths, so this is true in Grade 3.
2. In Grade 3, the second tick after 0 on a line split into 6 parts is labeled 2/3.
True False
The second tick is 2/6 because the line is partitioned into sixths, not thirds, in Grade 3.
3. In Grade 3, the unit fraction 1/3 sits one-third of the way from 0 to 1 on a line split into thirds.
True False
On a line partitioned into thirds, 1/3 is the first tick after 0, making this true in Grade 3.