1. Get Homework out FIRST! Then, begin warm-up.
Name:________________________________________________________________________________Date:_____/_____/__________
Brain blitz/ warm-up
Get Homework out FIRST! Then, begin warm-up.
1) Convert in order to fill-in the missing parts (REDUCE fractions!):
Fraction
Decimal
Percent
𝟑 𝟏𝟏
0.02
0.5%
Compare by placing a > sign or a < sign in the blanks (remember
to convert them ALL to decimals first!):
0.5_____ 52%
¾ _____ 0.8
2.9% _____ 0.28
Convert the following REPEATING decimal to a percentage:
0.33 = _____%

2. ORDERING RATIONAL NUMBERS
Today’s lesson . . .
ascending
descending
What:
ORDERING RATIONAL NUMBERS
Why:
To order groups of fractions, decimals, percentages in both ascending and descending order.

3. Start with the whole #’s, move onto the tenths, etc.
STRATEGY:
Start with the whole #’s, move onto the tenths, etc.
REVIEW (ORDERING DECIMALS):
When comparing decimal #’s, start with
the __________________________ place value
digit and compare. If there is a “tie,” move
on to the next digit, etc. In other words . . .
Compare the whole numbers.
If there is a “tie,” move on to the
______________________________ .
If there is another “tie,” move on to the
_______________________________.
If needed, keep moving on to the next
place value digit(s).
greatest
tenths
hundredths

4. Examples:
Put the following decimal numbers in ascending order: 1)
1.025
1.25
0.039
0.4
Answer: 2)
0.0055
0.2
0.015
0.15 3)
0.75
0.425
0.9
0.45
0.039; 0.4; ; 1.25
0.0055; ; 0.15; 0.2
0.425 ; 0.45; 0.75; 0.9

5. STRATEGY: Convert everything into decimals first!
Put the following numbers in ascending (least to
great) order: #
Frac.
Decimal %
Answer
(List in Original Form): 1.
1/8
0.0255
13% 2. 1¾
1.755
1.7%
0.0255
1/8
13%
Decimal
Version
0.017
1 ¾
1.755

6. Place the decimals from #3 (above) on the below number line:
On Your own: 3.
0.3
20%
20%
0.3
Place the decimals from #3 (above) on the
below number line:
0.25
0.2
0.3
Hmmm. I wonder how
this number line
is divided??
Tenths of course!!

7. (List in Original Form):
Put the following numbers in descending (greatest
to least) order: #
Frac.
Decimal %
Answer
(List in Original Form): 1.
2/5
0.45
40.5% 2.
2/3
0.6
66%
0.45
40.5%
2/5
2/3
66%
0.6

8. Amanda, Bill, and Max went running. Amanda ran 3.2 miles,
Word Problems: 1.
Amanda, Bill, and Max went running. Amanda ran 3.2 miles,
Bill ran 3 2/5 miles, and Max
ran 3.15 miles . Who ran the least amount of distance?
Max ran the least amount of distance.

9. 2.
At Simpson Middle School, the 6th graders are absent 1/8 of the time,
the 7th graders are absent of
the time, and 8th graders are
absent 13.5% of the time. Which grade is absent the most?
The 8th graders are absent the most!

10. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

11. Start with the whole #’s, move onto the tenths, etc.
Math-7 NOTES
DATE: ______/_______/_______
What: ORDERING RATIONAL NUMBERS
Why: To order groups of fractions, decimals, and %’s in both ascending and descending order.
NAME:
STRATEGY:
Start with the whole #’s, move onto the tenths, etc.
ascending
descending
REVIEW (ORDERING DECIMALS):
When comparing decimal #’s, start with the __________________________
place value digit and compare. If there is a “tie,” move on to
the next digit, etc. In other words . . .
Compare the whole numbers.
If there is a “tie,” move on to the ______________________________ .
If there is another “tie,” move on to the ___________________________.
If needed, keep moving on to the next place value digit(s).
Examples:
Put the following decimal numbers in ascending order: 1)
1.025
1.25
0.039
0.4
Answer: 2)
0.0055
0.2
0.015
0.15 3)
0.75
0.425
0.9
0.45

12. STRATEGY: Convert everything into decimals first!
Put the following numbers in ascending (least to great) order: #
Frac.
Decimal %
Answer
(List in Original Form): 1.
1/8
0.0255
13% 2. 1¾
1.755
1.7%
Decimal
Version 3.
0.3
20%
Place the decimals from #3 (above) on the below number line:

13. (List in Original Form):
Put the following numbers in descending (greatest to least) order: #
Frac.
Decimal %
Answer
(List in Original Form): 1.
2/5
0.45
40.5% 2.
2/3
0.6
66%
Decimal
Version
Word Problems:
At Simpson Middle School, the 6th graders are absent 1/8 of the time,
the 7th graders are absent 0.1 of the time, and 8th graders are absent
13.5% of the time. Which grade is absent the most? 1.
Amanda, Bill, and Max went running. Amanda ran 3.2 miles,
Bill ran 3 2/5 miles, and Max ran 3.15 miles . Who ran the least
amount of distance?

14. (List in Original Form): (List in Original Form):
Homework/practice
NAME:________________________________________________________________________________DATE: _____/_____/__________
“Ordering Rational Numbers”
Order the following from least to greatest (ascending): #
Fraction
Decimal %
Answer
(List in Original Form): 1.
4/5
0.08
80.5% 2.
1/3
0.34
33% 3.
41/4
4.3
42.5%
Order the following from to greatest to least (descending): #
Fraction
Decimal %
Answer
(List in Original Form): 4.
0.025 2% 5.
5/6
0.83
8.3% 6.
14/16
0.0975
8.75%

15. Which group shows equivalent fractions, decimals, and percents?
. . . continued
SOL PREP . . . 1)
Lucy spends of her allowance on clothes. What percent of her allowance does she spend on clothes?
19%
19.25%
38%
76% 2)
Which group shows equivalent fractions, decimals, and percents?
A , 0.7, 7%
1 8 , 0.18, 18%
2 5 , 0.4, 40%
D , 0.375, 375% 3)
A county sales tax is 5.5%. What is the decimal for this sales tax?
0.0055
0.055
0.55
5.5 4)
Which group is in order from least to greatest?
¼ , 0.2, 2.5%
0.2, ¼ , 2.5%
2.5%, 0.2, ¼
2.5%, ¼ , 0.2
Circle EACH of the choices that represent 50% :
6) Circle each of the choices that represent 0.2 :
5.0
10 20
0.5
5 100
1 2
1 5
1 2
20%
2 10 2%