Mathematics Alignment Lesson
Grade 5 Quarter 1 Day 24
Common Core State Standard(s)
5.NBT.4 Use place value understanding to
round decimals to any place.
Standards for Mathematical Practice
Standard 3 Construct viable arguments
and critique the reasoning of
others.
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Materials Needed:
Cardstock“Decimal Cards” (10 copies per
class)
Transparency/Blackline Master“Decimal Benchmarks”
Construction paper (large sheet)
Glue
Markers
Assessment
Ask students: “I notice that 0.23 and
0.27are very close. What would each one
be rounded to? Why is there this
difference?”
Homework
Blackline Master, “Use Benchmarks to
Round Decimals Journal Prompt”
Alignment Lesson
Use Benchmarks to Round Decimals
1. Display Transparency “Decimal Benchmarks”,
showing only one column at a time from left to right.
Display the first column (decimals near or equal to 0),
tell students that all of these decimals are near or equal
to 0, and ask students to study the decimals shown and
see what they have in common. Use math talk to
generate rules for determining if decimals are close or
equal to 0 and record them in the first column on the
transparency. Have students record the rules on their
copy of the chart as well.
2. Repeat these steps for each of the other benchmarks.
3. Break students into groups of 3 – 4 and give each group
a set of decimal cards and a large sheet of construction
paper. Have each group divide their sheet into 5
columns and copy the headings from the chart you’ve
just used. Students will then work together to place the
cards in the correct column, gluing them down once the
group has reached consensus.
4. Have a student leader guide the class to discuss where
these decimals should be placed. Make sure that
students give a clear rationale for their placement of the
decimal.
Note: To maximize instructional time, have sets of decimal
cards pre-cut and in baggies prior to the lesson.
Note: Assign homework “Use Benchmarks to Round Decimals
Journal Prompt” to give students an opportunity to reflect on to
determine if a decimal is close or equal to 0, 0.5, 1.0, 1.5 or
much greater than 1.5.
Source: Teacher Created
Vocabulary
Wake County Public School System, 2012
Transparency/Blackline Master
Grade 5
Day 24
Standard 5.NBT.4
Decimal Benchmarks
Decimals Near
or Equal to
0
Decimals Near
or Equal to
0.5
Decimals Near
or Equal to
1.0
Decimals Near
or Equal to
1.5
Decimals Much
Greater Than
1.5
0.012, 0.17,
0.23, 0.009,
0.1, 0.20,
0.0
0.62, 0.490,
0.500, 0.4,
0.53, 0.617
1.12, 0.9,
0.893, 0.901,
1.008, 0.8,
1.24, 1
1.470, 1.50,
1.61, 1.599,
1.600, 1.43,
1.710, 1.39
3.01, 14.2,
22.4, 15.0,
99.8, 37.006
Wake County Public School System, 2012
Answer Key Grade 5
Day 24
Standard 5.NBT.4
Decimal Benchmarks – Answer Key
Decimals Near
or Equal to
0
Decimals Near
or Equal to
0.5
Decimals Near
or Equal to
1.0
Decimals Near
or Equal to
1.5
Decimals Much
Greater Than
1.5
0.012, 0.17,
0.23, 0.009,
0.1, 0.20,
0.0
0.62, 0.490,
0.500, 0.74,
0.53, 0.617
1.12, 0.9,
0.893, 0.901,
1.008, 0.8,
1.24, 1
1.470, 1.50,
1.61, 1.599,
1.600, 1.43,
1.710, 1.39
3.01, 14.2,
22.4, 15.0,
99.8, 37.006
Decimals near
or equal to zero
have a 0 in the
ones place.
Decimals near
or equal to zero
have a 0, 1 or 2
in the tenths
place.
Decimals equal
to 0 have a 0 in
the ones place
and a 0 in the
tenths place
(and sometimes
zeros in the
hundredths and
thousandths
places).
Decimals near
or equal to zero
that have a 2 in
the tenths place
have a digit
under 5 in the
hundredths
place.
Decimals near
or equal to 0.5
have a 0 in the
ones place.
Decimals near or
equal to 1.0 have
a 1 in the ones
place and a 0, 1
or 2 in the tenths
place.
Decimals near
or equal to 0.5
have a 4, 5, 6 or Decimals near or
7 in the tenths
equal to 1.0 with
place.
a 2 in the tenths
Decimals equal
to 0.5 have a 0
in the ones
place, a 5 in the
tenths place
(and sometimes
zeros in the
hundredths and
thousandths
places).
Decimals near
or equal to 1.5
place, have a
digit smaller than with a 7 in the
5 in the
tenths place,
hundredths place. have a digit
smaller than 5
Decimals near or in the
equal to 1.0 have hundredths
a 0 in the ones
place.
place and an 8 or
9 in the tenths
place.
Decimals equal
to 1.0 have a 1 in
Decimals near
the ones place
or equal to 0.5
and a zero in the
that have a 7 in tenths place (and
the tenths place, sometimes zeros
in the hundredths
have a digit
and thousandths
under 5 in the
places).
hundredths
place.
Wake County Public School System, 2012
Decimals near
or equal to 1.5
have a 1 in the
ones place and
a 3, 4, 5, 6 or 7
in the tenths
place.
Decimals much
greater than 1.5,
have whole
numbers that are
much greater
than 1.
Cardstock Grade 5
Day 24
Standard 5.NBT.4
Decimal Cards
1.62
0.057
4.7
0.97
0.378
1.007
.27
0.23
47.007
1.46
1.390
0.8
0.500
0.1
167.1
0.001
1.7
0.47
3.3
0.780
Wake County Public School System, 2012
Answer Key Grade 5
Day 24
Standard 5.NBT.4
Decimal Cards – Answer Key
1.62
0.057
4.7
0.97
Close to 1.5
Close to 0
Greater than 1.5
Close to 1
0.378
1.007
.27
0.23
Close to 0.5
Close to 1
Close to 0.5
Close to 0
47.007
1.46
1.390
0.8
Greater than 1.5
Close to 1.5
Close to 1.5
Close to 1
0.500
0.1
167.1
0.001
Equal to 0.5
Close to 0
Greater than 1.5
Close to 0
1.7
0.47
3.3
0.780
Close to 1.5
Close to 0.5
Greater than 1.5
Close to 1
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 24
Standard 5.NBT.4
Name: ________________________
Date: ________________________
Use Benchmarks to Round Numbers
Journal Prompt
Explain how to determine if a decimal is close to 0, 0.5, 1.0, and 1.5.
Use specific examples to support your answer.
Wake County Public School System, 2012