Math Grade 3
Number and Operations Fractions (NF)
Teacher Key
Number Line and Partitioned Fractions Part 1
Benchmarks that are Measured in this Quizlet
Benchmark Code
Benchmark
Item #
3.SMC.NF.1.1-1.a
Show that a fraction 1/b is equal to the quantity formed by 1 part when a
whole is partitioned into b equal parts
1, 2, 3
3.SMC.NF.1.1-2.a
Show that a fraction a/b is equal to the quantity formed by a parts of size 1/b
4, 5, 6
3.SMC.NF.1.2-1.b
Represent a fraction 1/b on a number line diagram by defining the interval
from 0 to 1 as the whole and partitioning it into b equal parts
7, 8
3.SMC.NF.1.2-2.b
Demonstrate that each part on a number line diagram has size 1/b and that
the endpoint of the part based at 0 locates the number 1/b
9, 10
3.SMC.NF.1.2-3.b
Represent a fraction a/b on a number line diagram by marking off "a" lengths
1/b from 0
11, 12
3.SMC.NF.1.2-4.b
Explain that an interval on a number line diagram has size a/b and that its
endpoint locates the number a/b on the number line
13, 14
3.SMP.7.c
Look for and make use of structure
14
August 2015
MATH GR3 NF QUIZLET 1
Teacher Key
NOTES TO TEACHERS
This series of Quizlets is meant to be used for classroom formative assessment. Different from tools to evaluate student learning
summatively, they are meant to be used by teachers as a part of the instructional process.
Some features of these Quizlets are:
 The Quizlets are fully aligned with the Benchmarks.
 Each Quizlet is has a variety of item types: multiple choice (MC), multiple response (MR), short response (SR) and
performance-based (PB).
 The Quizlets were created using Microsoft® Word so that they can be modified.
 Item stems and graphic organizers can be used to create additional assessments that are aligned to the benchmarks.
Quizlets can be used to identify benchmarks where students are struggling or identify individual students who need additional learning
opportunities.
Item
Teacher Key: Number Line and Partitioned Fractions Part 1
Benchmark Code
Benchmark
Correct
Answer
Number
of Points
1.
3.SMC.NF.1.1-1.a
Show that a fraction 1/b is equal to the quantity formed by 1 part when
a whole is partitioned into b equal parts
B
1
2.
3.SMC.NF.1.1-1.a
Show that a fraction 1/b is equal to the quantity formed by 1 part when
a whole is partitioned into b equal parts
B
1
3.
3.SMC.NF.1.1-1.a
Show that a fraction 1/b is equal to the quantity formed by 1 part when
a whole is partitioned into b equal parts
C
1
4.
3.SMC.NF.1.1-2.a
Show that a fraction a/b is equal to the quantity formed by a parts of
size 1/b
A
1
5.
3.SMC.NF.1.1-2.a
Show that a fraction a/b is equal to the quantity formed by a parts of
size 1/b
D
1
6.
3.SMC.NF.1.1-2.a
Show that a fraction a/b is equal to the quantity formed by a parts of
size 1/b
D
1
7.
3.SMC.NF.1.2-1.b
Represent a fraction 1/b on a number line diagram by defining the
interval from 0 to 1 as the whole and partitioning it into b equal parts
SR
2
8.
3.SMC.NF.1.2-1.b
Represent a fraction 1/b on a number line diagram by defining the
interval from 0 to 1 as the whole and partitioning it into b equal parts
SR
2
9.
3.SMC.NF.1.2-2.b
Demonstrate that each part on a number line diagram has size 1/b and
that the endpoint of the part based at 0 locates the number 1/b
SR
3
Page 2
MATH GR3 NF QUIZLET 1
Teacher Key
Item
Teacher Key: Number Line and Partitioned Fractions Part 1 Continued
Benchmark Code
Benchmark
Correct
Answer
Number
of
Points
10.
3.SMC.NF.1.2-2.b
Demonstrate that each part on a number line diagram has size 1/b
and that the endpoint of the part based at 0 locates the number 1/b
SR
2
11.
3.SMC.NF.1.2-3.b
Represent a fraction a/b on a number line diagram by marking off "a"
lengths 1/b from 0
SR
2
12.
3.SMC.NF.1.2-3.b
Represent a fraction a/b on a number line diagram by marking off "a"
lengths 1/b from 0
SR
2
13.
3.SMC.NF.1.2-4.b
Explain that an interval on a number line diagram has size a/b and
that its endpoint locates the number a/b on the number line
SR
2
3.SMC.NF.1.2-4.b
Explain that an interval on a number line diagram has size a/b and
that its endpoint locates the number a/b on the number line
PB
8
14.
3.SMP.7.c
Look for and make use of structure
Page 3
MATH GR3 NF QUIZLET 1
Teacher Key
Explained Answers
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 7. Eighths (2 points)
Benchmark: 3.SMC.NF.1.2-1.b Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b
equal parts
Item Stem
Responses
Points
Part A Divide the number line below into eighths.
1 points for 8 equal
tick marks
1
Part B Draw an X on the number line at .
1 point for labeling
8
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 8. Denominators (2 points)
Benchmark: 3.SMC.NF.1.2-1.b Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b
equal parts
Item Stem
Responses
Points
Fill in the missing denominators on the number line below.
2 points for all 5
boxes correctly
completed
1 point for 3 or 4
boxes correctly
completely
Page 4
1
8
MATH GR3 NF QUIZLET 1
Teacher Key
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 9. Quarters (3 points)
Benchmark: 3.SMC.NF.1.2-2.b Demonstrate that each part on a number line diagram has size 1/b and that the endpoint of the part based at 0 locates the
number 1/b
Item Stem
Responses
Points
Part A Shade in
1
4
of the rectangle below. Make sure you start
at 0.
2 points for shading
in the first quarter
1 point for correctly
Part B Label the shaded area.
labeling
1
4
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 10. Granola Bar (2 points)
Benchmark: 3.SMC.NF.1.2-2.b Demonstrate that each part on a number line diagram has size 1/b and that the endpoint of the part based at 0 locates the
number 1/b
Item Stem
Responses
Points
Demi has 1 granola bar. She wants to share it with 3 other
friends. How could she divide the granola bar equally?
1 point for dividing
the granola bar
equally into 4
sections
Part A Show the divisions on the granola bar above.
1 point for crossing
Part B Demi ate her part. Cross out the piece she ate.
out
Page 5
1
4
of the bar
MATH GR3 NF QUIZLET 1
Teacher Key
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 11. Number Line Plot (2 points)
Benchmark: 3.SMC.NF.1.2-3.b Represent a fraction a/b on a number line diagram by marking off "a" lengths 1/b from 0
Item Stem
Part A Put an X on the point
3
8
Responses
on the number line below.
Points
1 point for putting an
X on point
Part B Circle the location
6
8
3
8
1 point for putting a O
of on the number line.
on point
6
8
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 12. Divide Number Line (2 points)
Benchmark: 3.SMC.NF.1.2-3.b Represent a fraction a/b on a number line diagram by marking off "a" lengths 1/b from 0
Item Stem
Part A Divide the number line into fourths.
Part B Label
4
4
Responses
Points
1 point for correctly
dividing up the
number line
1 point for correctly
on the number line.
labeling
Page 6
4
4
MATH GR3 NF QUIZLET 1
Teacher Key
SHORT RESPONSE EXPLAINED ANSWERS
ITEM 13. Sub Sandwich (2 points)
Benchmark: 3.SMC.NF.1.2-4.b Explain that an interval on a number line diagram has size a/b and that its endpoint locates the number a/b on the number line
Item Stem
Responses
Points
4 boys went to the store and bought a sub sandwich.
They divided the sandwich as shown.
1
4
What fraction did Deon eat? ________
Page 7
2 points for correct
answer
MATH GR3 NF QUIZLET 1
Teacher Key
PERFORMANCE-BASED RUBRIC
ITEM 14. Fifths or Sixths (8 points)
Benchmark: 3.SMC.NF.1.2-4.b Explain that an interval on a number line diagram has size a/b and that its endpoint locates the number a/b on the number line
Benchmark: 3.SMP.7.c Look for and make use of structure
Item Stem:
Level
Criteria
Is the point on the number line below at
3
5
or
3
6
?
4.0
Use the rectangle shown above the number line to help explain the fraction, using
the words numerator and denominator.
(7-8
Points)
In addition to the understanding in Level 3.0, the student
exhibits in-depth inferences and applications that go
beyond what was taught.
The student exhibits no major errors or omissions at third
grade level by:
3.0
The point is at _________ because:
The point is at
3
5
3.SMC.NF.1.2-4.b Identifying

3.SMP.7.c Looking for and making use of the structure of
the bar and the corresponding number line. Explaining
that both the number line and rectangle are divided into
five equal sections, and the point is located to the right of
three of them. Explaining that the number of total sections
is the denominator, and the number of intervals from zero
is the numerator.
(5-6
Points)
Possible Responses:
because: the number line and the rectangle are divided into 5 equal
sections and the point is located to the right of 3 of the sections. The number of total
equal sections is the denominator of the fraction, and the number of intervals from
zero is the numerator of the fraction. (answers will vary)
5
as correct.
The student exhibits major errors or omissions regarding
the more complex ideas and processes, but makes no
major errors or omissions regarding the simpler details
and processes at third grade level, including:
2.0
(3-4
Points)
1.0
(1-2
Points)
0.0
(0
Points)
Page 8
3

3

3.SMC.NF.1.2-4.b Identifying

3. SMP.7.c Looking for and making use of the structure of
the bar and the corresponding number line. Explaining
that both the number line, and rectangle are divided into
five equal sections, and the point is located to the right of
three of them.
5
as correct.
With help, the student demonstrates partial
understanding of some of the score 2.0 elements and
some of the score 3.0 elements at the third grade level.
Even with help, the student demonstrates little
understanding of skills.