Transcript Lesson 3

Name:________________________________________________________________________________Date:_____/_____/__________
Brain blitz/ warm-up
1) Convert in order to fill-in the missing parts:
Fraction
Decimal
D to F:
READ it,
WRITE it,
REDUCE it!
0.02
Percent
D to P:
Move 2 to
the right!
P to D:
Move 2 to
the left!
F to D:
Take the TOP #,
Divide it by the
BOTTOM #!
0.5%
𝟓
𝟖
2) Circle ALL of the choices that represent the following number:
0.4 =
4%
4
100
40%
40
2
5
4
10
Today’s lesson . . .
What:
Comparing And ORDERING
RATIONAL NUMBERS
Why:
To compare and order groups of
fractions, decimals, percentages.
Comparing and Ordering
Fractions, Decimals, and %’s
STRATEGY #1:
Convert
everything into
____________
decimals first!
STRATEGY #2:
Start with the
__________
whole #’s,
move onto the
tenths, etc.
When comparing decimal #’s . . .
greatest
Start with the __________________________
place value digit and compare. If there
is a “tie,” move on to the next digit, etc.
In other words . . .
1) Compare the whole numbers.
2) If there is a “tie,” move on to the
tenths
______________________________
.
3) If there is another “tie,” move on to the
hundredths
_______________________________.
4) If needed, keep moving on to the next
place value digit(s).
Comparing
Fractions, Decimals, and %’s
Remember: CONVERT TO DECIMALS FIRST!!!!
Guided practice:
Place a greater-than (>), less-than (<), or equal (=) sign in the
blanks:
<
1) 0.023 _____ 0.6
<
2) 35% _____ 3.5
3)
2/
5
=
_____ 40%
Your turn:
Place a greater-than (>), less-than (<), or equal (=) sign in the
blanks:
4) 4.5 _____
> 45%
> 0.0092
5) 1.5% _____
6)
3/
8
_____
< 0.4
Comparing
Fractions, Decimals, and %’s
Remember: CONVERT TO DECIMALS FIRST!!!!
Guided practice:
1) Which of the following makes the statement true?
0.56 < __________ < 60%
a)
½
b)
¾
c)
57.5%
d)
75%
2) Which of the following makes the statement true?
¼ < __________ < 125%
a) 12.5%
b) 1.25
c) 5.5%
d) 0.55
Comparing
Fractions, Decimals, and %’s
Remember: CONVERT TO DECIMALS FIRST!!!!
YOUR TURN:
3)
3) Which
Whichofofthe
thefollowing
followingmakes
makesthe
thestatement
statementtrue?
true?
0.7
0.7 << __________
__________<< 75%
75%
a)
a) ¾¾
b)
b) 70%
70%
c)c) 0.73
0.73
d)
d) 7.3
7.3
4)
4) Which
Whichofofthe
thefollowing
followingmakes
makesthe
thestatement
statementtrue?
true?
11
<< __________
__________<< 55%
55%
55
a)
a) 20%
20%
b)
b)0.25
0.25
c)c) 0.025
0.025
d)
d) 0.2
0.2
ORDERING
Fractions, Decimals,
and %’s
Remember: Start with the whole #’s,
move on to the tenths, etc.
Put the following decimal numbers in
ascending order:
1.025
1.25
0.039
0.4
1)
Answer: 0.039; 0.4; 1.025; 1.25
0.0055
0.2
0.015
0.15
2)
Answer: 0.0055; 0.015; 0.15; 0.2
STRATEGY: Convert
everything into
decimals first!
Put the following numbers in ascending (least to
great) order:
#
Frac.
Decimal
%
1.
1/
8
0.0255
13%
Answer
(List in Original Form):
1) 0.0255
Decimal
Version
2) 1/8
2.
3) 13%
1¾
1.755
1.7%
1) 0.017
Decimal
Version
2) 1 ¾
3) 1.755
On Your own:
3.
¼
0.3
20%
1) 20%
2) ¼
3) 0.3
Place the decimals from #3 (above) on the
below number line:
Tenths of
course!!
Put the following numbers in descending (greatest
to least) order:
#
Frac.
Decimal
%
1.
2/
0.45
40.5%
5
Answer
(List in Original Form):
1) 0.45
2) 40.5%
3) 2/5
2.
2/
3
0.6
66%
1) 2/3
2) 66%
3) 0.6
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.
2.
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?
The 8th graders are absent the most!
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.
NAME:
Math-7 NOTES
DATE: ______/_______/_______
What: comparing and ORDERING RATIONAL NUMBERS
Why:
To compare and order groups of fractions, decimals, and %’s .
STRATEGY #1:
Convert everything into
___________________ first!
STRATEGY #2:
Start with the ___________ #’s,
move onto the tenths, etc.
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 . . .
1) Compare the whole numbers.
2) If there is a “tie,” move on to the ______________________________ .
3) If there is another “tie,” move on to the _________________________.
4) If needed, keep moving on to the next place value digit(s).
Comparing Fractions, Decimals, and %’s
Remember: CONVERT TO DECIMALS FIRST!!!
Guided practice:
Place a greater-than (>), less-than (<), or equal (=) sign in the blanks:
1) 0.023 _____ 0.6
2)
35% _____ 3.5
3)
2/
5
_____ 40%
Your turn:
Place a greater-than (>), less-than (<), or equal (=) sign in the blanks:
4) 4.5 _____ 45%
5)
1.5% _____ 0.0092
6)
3/
8
_____ 0.4
Guided practice:
1) Which of the following makes the statement true?
a) ½
b) ¾
c) 57.5%
d) 75%
2) Which of the following makes the statement true?
a) 12.5%
b) 1.25
c) 5.5%
0.56 < __________ < 60%
d) 0.55
¼ < __________ < 125%
Your turn:
3) Which of the following makes the statement true?
a) ¾
b) 70%
c) 0.73
d) 7.3
4) Which of the following makes the statement true?
a) 20%
b) 0.25
0.7 < __________ < 75%
c) 0.025
1
5
< __________ < 55%
d) 0.2
ORDERING
Fractions, Decimals,
and %’s
Remember: Start with the whole #’s,
move on to the tenths, etc.
Put the following decimal numbers in
1.025
ascending order:
1.25
0.039
0.4
0.2
0.015
0.15
1)
Answer:
0.0055
2)
Answer:
STRATEGY:
Convert everything into
decimals first!
Put the following numbers in ascending (least to greatest)
order:
#
Decimal
%
1/
8
0.0255
13%
1¾
1.755
1.7%
¼
0.3
20%
Answer
(List in Original Form):
Decimal
Version
1.
Frac.
Decimal
Version
2.
Decimal
Version
3.
Place the decimals from #3 (above) on the below number line:
Put the following numbers in descending (greatest to least) order:
#
Decimal
%
2/
5
0.45
40.5%
2/
3
0.6
66%
Answer
(List in Original Form):
Decimal
Version
1.
Frac.
Decimal
Version
2.
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?
2.
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?
NAME:________________________________________________________________________________DATE: _____/_____/__________
Homework/practice
“Ordering Rational Numbers”
Order the following from least to greatest (ascending):
#
Fraction
Decimal
%
1.
4/
5
0.08
80.5%
2.
1/
3
0.34
33%
3.
41/4
4.3
42.5%
Answer
(List in Original Form):
Order the following from to greatest to least (descending):
#
Fraction
Decimal
%
4.
¼
0.025
2%
5.
5/
0.84
8.3%
6.
14/
0.0975
875%
6
16
Answer
(List in Original Form):
continued . . .
“Comparing Rational Numbers”
Place a greater-than ( > ), less-than ( < ), or equal ( = ) sign in the blanks:
1) 0.8 _____ 0.092
4) 12% _____ 0.012
2)
5)
3/
4
2% _____ 0.3%
3)
_____ 7.5%
52% _____ 5/10
6) 1.25% _____ 1/8
SOL PREP . . .
1)
2)
3)
Which of the following is equal to 3/8 ?
Which of the following is equal to 50%?
Which group is in order from least to greatest?
A.
3.8
B.
3.75
C.
37.5%
D.
3.75%
A.
0.05
B.
7/14
C.
1/5
D.
50
A.
¼ , 0.2, 2.5%
B.
0.2, ¼ , 2.5%
C.
2.5%, 0.2, ¼
D.
2.5%, ¼ , 0.2