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5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Learning Objective Name __________________________
Today, we will represent1 decimal numbers as fractions.1 show
CFUWhat are we going to do today?What does represent mean?
Activate (or provide) Prior Knowledge
One
sD
ecim
al P
oint
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hsH
undr
edth
sTh
ousa
ndth
s0
0
0
0
0
0
3
0
0
2
2
7
6
1
5
7
3
9
Teacher
Student
Teacher
Student
Teacher
Student
Use the place value chart to properly read the following decimal numbers.
CFUTeacher reads a decimal number. Students read a decimal number.Students, you already know how to use place value of numbers to read decimals. Today, reading a decimal aloud will help you represent it as a fraction.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
CFUUse your knowledge of money to explain why 0.50 is the same as ½.Use your knowledge of money to explain why 0.75 is the same as ¾.
In your own words, how are decimal numbers and fractions similar? Decimal numbers and fractions are similar because _________.In your own words, how are decimal numbers and fractions different? Decimal numbers and fractions are different because _________.
Concept Development
7 tenths
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
1100
11,000
0 0 6 3
0 7
0 2 5
710
25100
0631,000
25 hundredths
63 thousandths
Same Amount
is the same as
25100
14
0.25
$0.25 is the same as ¼ of a dollar.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Skill Development/Guided Practice
1) What is the decimal 0.7 written as a fraction?
Fraction form:
2) What is the decimal 0.3 written as a fraction?
Fraction form:
3) What is the decimal 0.59 written as a fraction?
Fraction form:
4) What is the decimal 0.41 written as a fraction?
Fraction form:
5) What is the decimal 0.331 written as a fraction?
Fraction form:
6) What is the decimal 0.113 written as a fraction?
Fraction form:
“7 tenths” “3 tenths”
“59 hundredths” “41 hundredths”
“331 thousandths” “113 thousandths”
7
10
3
10
59
100
41
100
331
1000
113
1000
CFU(#3) How did I/you know how to write the decimal number as a fraction?
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Skill Development/Guided Practice (continued)
7) What is the decimal 0.8 written as a fraction?
Fraction form:
8) What is the decimal 0.6 written as a fraction?
Fraction form:
9) What is the decimal 0.25 written as a fraction?
Fraction form:
10) What is the decimal 0.75 written as a fraction?
Fraction form:
“8 tenths” “6 tenths”
“25 hundredths” “75 hundredths”
8
10
6
10
25
100
75
100
4
5
3
5
1
4
3
4
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
CFU(#3) How did I/you know how to write the decimal number as a fraction?
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Importance
1. Representing decimal numbers as fractions will help you understand how to convert decimal numbers into a percent.
CFUDoes anyone else have another reason why it is important to represent decimal numbers as fractions? (pair-share) Why is it important to represent decimal numbers as fractions? You may give me one of my reasons or one of your own. Which reason is most important to you? Why?
William has 0.6 of a pound of carrots. What is the fraction of a pound that he has?
3
0.65
of a pound of carrots
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Convert the decimal number to a percent.
100
= %ones tenths hundredths
4 801. 48 48
2. Representing decimal numbers as fractions will help you understand the meaning of decimal quantities.
3. Representing decimal numbers as fractions will help you do well on tests.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
1) What is the decimal 0.9 written as a fraction?
Fraction form:
2) What is the decimal 0.13 written as a fraction?
Fraction form:
“9 tenths” “13 hundredths”
9
10
13
100
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Concept Closure
Cassandra got two problems correct out of three. Write a message to Cassandra about what she should have done to get the correct answer.
Skill Closure
Represent decimal numbers as fractions.
Summary Closure
What did you learn today about representing decimal numbers as fractions? Day 1 ____________________________________________________________________________________Day 2 ____________________________________________________________________________________
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Independent Practice Name __________________________
1) What is the decimal 0.1 written as a fraction?
Fraction form:
2) What is the decimal 0.5 written as a fraction?
Fraction form:
3) What is the decimal 0.07 written as a fraction?
Fraction form:
4) What is the decimal 0.11 written as a fraction?
Fraction form:
5) What is the decimal 0.457 written as a fraction?
Fraction form:
6) What is the decimal 0.239 written as a fraction?
Fraction form:
“1 tenth” “5 tenths”
“7 hundredths” “11 hundredths”
“457 thousandths” “239 thousandths”
1
10
5
10
7
100
11
100
457
1000
239
1000
1
2
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Independent Practice (continued)
7) What is the decimal 0.4 written as a fraction?
Fraction form:
8) What is the decimal 0.6 written as a fraction?
Fraction form:
9) What is the decimal 0.15 written as a fraction?
Fraction form:
10) What is the decimal 0.36 written as a fraction?
Fraction form:
“4 tenths” “6 tenths”
“15 hundredths” “36 hundredths”
4
10
6
10
15
10036
100
2
5
3
5
3
20 9
25
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Periodic Review 1
1) What is the decimal 0.16 written as a fraction?
Fraction form:
2) What is the decimal 0.05 written as a fraction?
Fraction form:
3) What is the decimal 0.147 written as a fraction?
Fraction form:
4) What is the decimal 0.2 written as a fraction?
Fraction form:
5) What is the decimal 0.08 written as a fraction?
Fraction form:
6) What is the decimal 0.6 written as a fraction?
Fraction form:
7) What is the decimal 0.319 written as a fraction?
Fraction form:
8) What is the decimal 0.35 written as a fraction?
Fraction form:
“16 hundredths” “5 hundredths”16
100
5
1004
25
“147 thousandths” “2 tenths”147
1000
2
10
1
5
“8 hundredths” “6 tenths”8
100
6
10
2
25
3
5
“319 thousandths” “35 hundredths”319
1000
35
100
7
20
1
20
Name __________________________ A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Periodic Review 2
1) What is the decimal 0.29 written as a fraction?
Fraction form:
2) What is the decimal 0.3 written as a fraction?
Fraction form:
3) What is the decimal 0.06 written as a fraction?
Fraction form:
4) What is the decimal 0.173 written as a fraction?
Fraction form:
5) What is the decimal 0.45 written as a fraction?
Fraction form:
6) What is the decimal 0.24 written as a fraction?
Fraction form:
7) What is the decimal 0.7 written as a fraction?
Fraction form:
8) What is the decimal 0.37 written as a fraction?
Fraction form:
“29 hundredths” “3 tenths”29
100
3
10
“6 hundredths” “173 thousandths”6
100173
1000
3
50
“45 hundredths” “24 hundredths”45
100
24
100
9
20
6
25
“7 tenths” “37 hundredths”7
10
37
100
Name __________________________ A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
Periodic Review 3
1) What is the decimal 0.15 written as a fraction?
Fraction form:
2) What is the decimal 0.04 written as a fraction?
Fraction form:
3) What is the decimal 0.13 written as a fraction?
Fraction form:
4) What is the decimal 0.155 written as a fraction?
Fraction form:
5) What is the decimal 0.009 written as a fraction?
Fraction form:
6) What is the decimal 0.28 written as a fraction?
Fraction form:
7) What is the decimal 0.3 written as a fraction?
Fraction form:
8) What is the decimal 0.8 written as a fraction?
Fraction form:
“15 hundredths” “4 hundredths”15
100
4
100
3
20
“13 hundredths” “155 thousandths”13
100
155
1000
“9 thousandths” “28 hundredths”9
1000
28
100
7
25
“3 tenths” “8 tenths”3
10
8
10
1
25
31
200
4
5
Name __________________________
Step #1: Identify the digit in the lowest place value. (underline)Step #2: Read the decimal number aloud.Step #3: Write the decimal number as a fraction.Step #4: Reduce the fraction to lowest terms, if needed.
A decimal number and a fraction both represent part of a whole.• Decimal numbers and fractions can represent the same amount. • Any decimal number can be changed into a fraction by properly reading the decimal number.
11,000
1100
110
One
sDec
imal
Poi
nt
Tent
hsHun
dred
ths
Thou
sand
ths
Represent decimal numbers as fractions.
5th Grade Number Sense 1.2 (5Q)Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research(800) 495-1550 • www.dataworks-ed.com©2012 All rights reserved. Comments? [email protected]
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