Unit 9.2 - Converting "Easy" Fractions To Decimals And Percents Examples And Worksheets Page 2
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8Mathematical Practices
SMP1, SMP2, SMP4, SMP6, SMP7
Content Standards
Getting Started
4.NF.1, 4.NF.5, 4.NF.6, 4.MD.3
Mental Math and Reflexes
Math Message
Complete Problem 1 on journal page 252.
Write fractions on the board. For each fraction, students
write the equivalent decimal and percent on their slates.
Have students explain their strategies for the
problems.
Study Link 9 1 Follow-Up
Suggestions:
_
_
_
36
3
7
Have partners compare answers. Ask volunteers
0.36, 36%
0.3, 30%
0.35, 35%
100
10
20
to share different solutions for Problems 10–12.
_
_
_
87
1
3
0.87, 87%
0.5, 50%
0.12, 12%
100
2
25
For Problems 13 and 14, you might have students draw
_
_
_
number lines and identify the positions of the fractions.
19
4
14
0.19, 19%
0.8, 80%
7.0, 700%
100
5
2
1
Teaching the Lesson
WHOLE-CLASS
Math Message Follow-Up
DISCUSSION
(Math Journal 2, p. 252)
Remind students that it is easy to rename a fraction as a percent
32
_
when the denominator is 100. For example, another name for
100
is 32%.
1 _
1 _
1 _
1 _
There are other fractions, such as
,
,
, and
, that can be
2
4
5
10
renamed as percents fairly easily. Knowing such equivalencies
often makes percent problems easier to solve. In Problem 1,
Alfred missed 50% of 20 problems. To find how many problems
1 _
he missed, students may think of 50% as
and ask themselves,
2
1 _
“What is
of 20?”
2
1 _
Some students may reason:
of the 10-by-10 grid is shaded.
Student Page
2
50
_
That is 50 small squares, or
, or 0.50, or 50% of the
Date
Time
100
1 _
10-by-10 grid. 50% of 20 is the same as
of 20, or 10.
LESSON
“Percent-of” Number Stories
9 2
2
Alfred, Nadine, Kyla, and Jackson each took the
Rule
100%
Use the shaded 10-by-10 grid in Problem 1 to help you illustrate
same math test. There were 20 problems on the test.
38
39
20-problem test
1 _
equivalent fraction, decimal, and percent names. Point out the
Alfred missed
of the problems. He missed
1.
2
0.50 of the problems. That is 50% of the problems.
10
following:
How many problems did he miss?
problems
10
1 _
of 20 =
2
The whole is the 20-problem test—100% of the test.
10
50% of 20 =
1 _
, or 50% is shaded.
2
The whole test is represented by the 10-by-10 grid.
1 _
Nadine missed
of the problems. She missed
2.
4
0.25 of the problems. That is 25% of the problems.
The 10-by-10 grid can be divided into 20 equal parts
5
How many problems did she miss?
problems
5
(rectangles), each representing 1 problem on the test.
1 _
of 20 =
4
5
1 _
25% of 20 =
, or 25% is shaded.
4
1 _
Kyla missed
of the problems. She missed
3.
10
0.10 of the problems. That is 10% of the problems.
2
How many problems did she miss?
problems
2
1 _
of 20 =
Each rectangle, consisting of 5 small squares, represents 1 problem on the test.
10
2
1 _
10% of 20 =
, or 10% is shaded.
10
The 10-by-10 grid is also divided into 100 small squares;
1 _
4.
Jackson missed
of the problems. He missed
5
0.20 of the problems. That is 20% of the problems.
1
_
each small square is
, or 1%, of the 10-by-10 grid.
4
How many problems did he miss?
problems
100
4
1 _
of 20 =
5
Have students solve Problems 2–4 with a partner.
4
1 _
20% of 20 =
, or 20% is shaded.
5
Math Journal 2, p. 252
248-273_EMCS_S_MJ2_G4_U09_576426.indd 252
3/7/11 10:25 AM
Lesson 9 2
729
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