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percent
- 1. Learning Objective Name __________________________
We will compute1 a percent of a whole number.
1 find the answer mathematically
CFU
What are we going to do?
What does compute mean? Compute means _______.
Activate (or provide) Prior Knowledge
A percent (%) is part of 100.
25
• A percent can also be written in decimal form. 25% = = 0 25
100 ones tenths hundredths
Convert the percent to a decimal number.
1. 48% = 48 = 2. 72% = 72 =
100 0 4 8 100 0 7 2
ones tenths hundredths ones tenths hundredths
Use a shortcut to convert the percent to a decimal number.
3. 50% = 0.5
. 4. 80% = 0.8
.
CFU
Students, you know that a percent can be written as a decimal number. Now, we will use this skill to compute a percent of a whole
number.
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 2. Concept Development
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
• To compute the percent of a whole number, multiply the whole number by the percent’s decimal form.
Percent of a Whole Number Keywords
of means ×
50% of 240 is 120
is means =
percent whole percent of the
number whole number
20%is 12
5% is 48
Percent Problem Compute As % of Whole Number 50% is 120
50% of 240 240 × 0.50 120 100%
240
20% of 240 240 × 0.20 48
5% of 240 240 × 0.05 12
CFU
Which is the correct way to compute 25% of 80? How do you know?
A 80 × 25 B 80 × 0.25
You are trying to compute 65% of 400. Without computing the problem, which of the following would be true of your solution?
How do you know?
A The solution will be greater than 400 B The solution will be less than 400
In your own words, what is a percent of a whole number? A percent of a whole number is ______________.
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 3. Skill Development/Guided Practice
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
Keywords
Compute a percent of a whole number. of means
Step #1: Read the problem and identify2 the percent. (circle)
Step #2: Compute the percent of the whole number as follows: is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret3 the percent of the whole number. “____ is ___% of ____”
2 find (synonym)
3 explain (synonym)
1. What is 20% of 30? 2. What is 30% of 40?
30 40
20% = .20 x .2 30% = .30 x .3
6.0 12.0
6 is 20% of 30 12 is 30% of 40
3. What is 90% of 180? 7 4. What is 70% of 160? 4
180 160
90% = .90 x .9 70% = .70 x .7
16 2.0 112.0
162 is 90% of 180 112 is 70% of 160
CFU
(#2) How did I/you compute the percent of the whole number?
(#3) How did I/you interpret the percent of the whole number?
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 4. Skill Development/Guided Practice (continued)
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
Keywords
Compute a percent of a whole number. of means
Step #1:
Step #2:
Read the problem and identify the percent. (circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
5. What is 2% of 150? 1 6. What is 5% of 180? 4
150 180
2% = .02 x .02 5% = .05
x .05
3.0 0
3 is 2% of 150 9 is 5% of 180 9.00
CFU
(#2) How did I/you compute the percent of the whole number?
(#3) How did I/you interpret the percent of the whole number?
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 5. Relevance
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
1. Computing the percent of a whole number will 2. Computing a percent of a whole
help you determine the tip when dining out. number will help you do well on tests.
Katrina took her friend to lunch and paid for
the meal plus tip. The meal cost $30 and
Katrina decided to leave a 15% tip. How
much money did Katrina leave as a tip?
Katrina left a
$4.50 tip.
CFU
Does anyone else have another reason why it is relevant to compute a percent of a whole number? (pair-share) Why is it relevant to
compute a percent of a whole number? You may use one of my reasons or one of your own. Which reason is more relevant to you? Why?
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 6. A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
Skill Closure Keywords
Compute a percent of a whole number
Step #1: Read the problem and identify the percent. (circle) of means
=
Step #2: Compute the percent of the whole number as follows:
a. Find the decimal form of the percent. is means
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
1.What is 60% of 75? 3 2. What is 8% of 100?
75 100
60% = .60 x .6 8% = .08 x .08
45.0 8.00
45 is 60% of 75 8 is 8% of 100
Constructed Response Closure
When computing 75% of 60, which of the following is true? Explain your answer.
A The solution will be greater than 60 ______________________________________________________
B The solution will be less than 60 ______________________________________________________
Summary Closure
What did you learn today about computing a percent of a whole number?
Day 1 ___________________________________________________________________________________________________
Day 2 ___________________________________________________________________________________________________
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 7. Independent Practice Name __________________________
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number. Keywords
of means
Compute a percent of a whole number.
Step #1:
Step #2:
Read the problem and identify the percent. (Circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
1. What is 60% of 25? 3 2. What is 30% of 65? 1
25 65
x .6 30% = .30 x .3
60% = .60
15 .0 19. 5
15 is 60% of 25 19.5 is 30% of 65
3. What is 80% of 210? 4. What is 4% of 120?
210 120
80% = .80 x .8 x .04
4% = .04
16 8.0 4.8 0
168 is 80% of 210 4.8 is 4% of 120
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 8. Independent Practice (continued)
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
Keywords
of means
Compute a percent of a whole number.
Step #1:
Step #2:
Read the problem and identify the percent. (Circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
5. What is 5% of 140? 2 6. What is 4% of 160?
140 2
x .05 4% = .04 160
5% = .05 x .04
7. 0 0
6.4 is 4% of 160 6.4 0
7 is 5% of 140
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 9. Periodic Review 1 Name __________________________
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number. Keywords
Compute a percent of a whole number. of means
Step #1:
Step #2:
Read the problem and identify the percent. (Circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
1. What is 50% of 18? 4 2. What is 20% of 85? 1
18 85
x .5 20% = .20 x .2
50% = .50
9.0 17.0
9 is 50% of 18 17 is 20% of 85
3. What is 70% of 210? 4. What is 8% of 120? 1
210 120
70% = .70 x .7 x .08
8% = .08
. 9.6 0
1470
147 is 70% of 210 9.6 is 8% of 120
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 10. Periodic Review 2 Name __________________________
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number.
Keywords
of means
Compute a percent of a whole number.
Step #1:
Step #2:
Read the problem and identify the percent. (Circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
1. What is 30% of 22? 4 2. What is 10% of 75?
22 75
x .3 10% = .10 x .1
30% = .30
6.6 7.5
6.6 is 30% of 22 7.5 is 10% of 75
3. What is 80% of 310? 4. What is 6% of 55? 3
310 55
80% = .80 x .8 x .06
6% = .06
3.3 0
24 8.0
248 is 80% of 310 3.3 is 6% of 55
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 11. Periodic Review 3 Name __________________________
A percent (%) is part of 100.
A percent of a whole number is a part of a whole number. Keywords
of means
Compute a percent of a whole number.
Step #1:
Step #2:
Read the problem and identify the percent. (Circle)
Compute the percent of the whole number as follows:
is means =
a. Find the decimal form of the percent.
b. Multiply the whole number by the decimal form.
Step #3: Interpret the percent of the whole number. “____ is ___% of ____”
1. What is 20% of 35? 1 2. What is 40% of 105? 2
35 105
x .2 40% = .40 x .4
20% = .20
7.0 4 2.0
7 is 20% of 35 42 is 40% of 105
3. What is 60% of 246? 4. What is 2% of 329? 1
23
246 329
60% = .60 x .6 x .02
2% = .02
6.5 8
.
1476
147.6 is 60% of 246 6.58 is 2% of 329
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
- 12. EDI – Cognitive, Teaching and English Learners Strategies
Learning Objective : We will compute a percent of a whole number.
Cognitive Strategies Teaching Strategies
Elaboration Demonstration
Targeted vocabulary: compute, percent, identify, interpret
Language Strategies
Academic compute, identify, interpret
Vocabulary Words Content percent
Support
Multiple-Meaning
Vocabulary Synonym identify, interpret
Strategy Definition compute, percent
Homophone
Internal Context Clue
Listen, Speak Similar Sounds
Tracked Reading
Read
Decoding Rules
Write Writing
Content Access Strategies
Comprehensible
Input Cognates
Graphic Organizer
Contextualized
Contextual Clues Definitions
Pictures
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the
©2012 All rights reserved. same value; compute a given percent of a whole number.
Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.