5 Minute Check
Complete in your notes.
1. Write .02 as a percent.
2. Write 450% as a decimal.
3. Write 50% as a fraction in simplest form.
4. Find 350% of 50.
Hand in Test Corrections Now!
5 Minute Check
1. Write .02 as a percent.
.
5 Minute Check
1. Write .02 as a percent.
.02.
.02 = 2%
5 Minute Check
2. Write 450% as a decimal.
5 Minute Check
2. Write 450% as a decimal.
4.50.
450% = 4.5
5 Minute Check
3. Write 50% as a fraction in simplest form.
5 Minute Check
3. Write 50% as a fraction in simplest form.
𝟓𝟎
50% =
𝟏𝟎𝟎
𝟓𝟎
÷
𝟓𝟎
𝟏
=
𝟐
5 Minute Check
4. Find 350% of 50.
5 Minute Check
4. Find 350% of 50.
50
x 3.5
250
1500
175.0
350% of 50 is 175
Flashcards
Mid-Chapter 2 Quiz
Clear your desks of everything except your
pencil.
You will have 20 minutes to complete.
All answers should be written in the blanks on
the right side of the paper.
Bring to my desk when complete.
Go back to your desk and do something quiet.
Monday, Sept 21
Lesson 2.8a
Solve Percent Problems
Solve Percent Problems
Objective: To solve percent problems which
involve finding the whole or part.
Solve Percent Problems
There are two methods in the text to solve
percent problems.
Bar Line Method (Number Line in the text)
Proportion Method
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
The bar must be divided into equal sections to
include the percent in the question.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
The bar must be divided into equal sections to
include the percent in the question.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
Make a bar to represent the number. It must be
divided into the same number of sections as the
percent bar.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
Number Bar
Make a bar to represent the number. It must be
divided into the same number of sections as the
percent bar.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
Number Bar
Under the percent in the question on the percent
line, notate the number in the question.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
10
Number Bar
Under the percent in the question on the percent
line, notate the number in the question.
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
10
Number Bar
On the number bar, each section is worth how
much?
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
10
10
10
10
10
Number Bar
On the number bar, each section is worth how
much?
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
10
10
10
10
!00% is worth how much?
10
Number Bar
Solve Percent Problems
10 is 25% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
10
10
10
10
10
Number Bar
!00% is worth how much? 10+10+10+10=40
Solve Percent Problems
10 is 25% of what number?
Proportion Method
Step 1 - Write a blank proportion.
Solve Percent Problems
10 is 25% of what number?
percent
fraction
?
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
Proportion Method
Step 1 - Write a blank proportion.
number
fraction
Solve Percent Problems
10 is 25% of what number?
percent
fraction
?
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 2 - If the question has a percent in it,
write that number in the percent fraction.
Solve Percent Problems
10 is 25% of what number?
percent
fraction
𝟐𝟓
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 2 - If the question has a percent in it,
write that number in the percent fraction.
Solve Percent Problems
10 is 25% of what number?
percent
fraction
𝟐𝟓
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 3 – Place the unused number in the
“part” or “whole” of the number fraction.
Solve Percent Problems
10 is 25% of what number?
percent
fraction
𝟐𝟓
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 3 – Place the unused number in the “part” or
“whole” of the number fraction.
If 25% of some number is 10, will that “some
number” be smaller or larger than 10?
Solve Percent Problems
10 is 25% of what number?
percent
fraction
𝟐𝟓
𝒑𝒂𝒓𝒕
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 3 – Place the unused number in the “part” or
“whole” of the number fraction.
Larger. That means 10 is the “part” of the number
fraction.
Solve Percent Problems
10 is 25% of what number?
percent
fraction
𝟐𝟓
𝟏𝟎
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
number
fraction
Proportion Method
Step 3 – Place the unused number in the
“part” or “whole” of the number fraction.
Solve Percent Problems
10 is 25% of what number?
Proportion Method
percent
fraction
𝟐𝟓
𝟏𝟎
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
Can we simplify?
number
fraction
Solve Percent Problems
10 is 25% of what number?
Proportion Method
percent
fraction
𝟐𝟓
𝟏𝟎𝟎
𝟐𝟓
÷
𝟐𝟓
𝟐𝟓
𝟏𝟎
=
𝟏𝟎𝟎 𝒘𝒉𝒐𝒍𝒆
𝟏
=
𝟒
number
fraction
Solve Percent Problems
10 is 25% of what number?
Proportion Method
percent
fraction
𝟏
𝟏𝟎
=
𝟒 𝒘𝒉𝒐𝒍𝒆
Cross multiply and divide.
number
fraction
Solve Percent Problems
10 is 25% of what number?
Proportion Method
percent
fraction
𝟏
𝟏𝟎
=
𝟒 𝒘𝒉𝒐𝒍𝒆
4 x 10 = 40 ÷ 1 = 40
number
fraction
Solve Percent Problems
30 is 50% of what number?
Do this on your own.
Solve Percent Problems
30 is 50% of what number?
Bar Line Method
0%
50%
100%
Percent Bar
30
30
30
!00% is worth how much?
Number Bar
Solve Percent Problems
30 is 50% of what number?
Bar Line Method
0%
50%
100%
Percent Bar
30
30
30
Number Bar
!00% is worth how much? 30+30=60
Solve Percent Problems
30 is 50% of what number?
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
?
𝟏𝟎𝟎
(𝒑𝒂𝒓𝒕)
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
?
𝟏𝟎𝟎
This goes where?
(𝒑𝒂𝒓𝒕)
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
𝟓𝟎
𝟏𝟎𝟎
(𝒑𝒂𝒓𝒕)
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
𝟓𝟎
𝟏𝟎𝟎
This goes where?
(𝒑𝒂𝒓𝒕)
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
𝟓𝟎
𝟏𝟎𝟎
This goes where?
𝟑𝟎
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
Can we simplify?
𝟓𝟎
𝟏𝟎𝟎
𝟑𝟎
=
(𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
𝟏
𝟑𝟎
=
𝟐 (𝒘𝒉𝒐𝒍𝒆)
Can we simplify?
𝟓𝟎
𝟏𝟎𝟎
𝟓𝟎
÷
𝟓𝟎
𝟏
=
𝟐
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
What is next?
𝟏
𝟑𝟎
=
𝟐 (𝒘𝒉𝒐𝒍𝒆)
number
fraction
Solve Percent Problems
30 is 50% of what number?
Proportion Method
percent
fraction
𝟏
𝟑𝟎
=
𝟐 (𝒘𝒉𝒐𝒍𝒆)
What is next?
2 x 30 = 60 ÷ 1 = 60
number
fraction
Solve Percent Problems
90 is 75% of what number?
Do this on your own.
Solve Percent Problems
90 is 75% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
90
30
30
30
!00% is worth how much?
30
Number Bar
Solve Percent Problems
90 is 75% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
90
30
30
30
30
Number Bar
!00% is worth how much? 30+30+30+30=120
Solve Percent Problems
90 is 75% of what number?
percent
fraction
𝟕𝟓
𝟏𝟎𝟎
𝟗𝟎
=
𝒘𝒉𝒐𝒍𝒆
𝟑
𝟗𝟎
=
𝟒 𝒘𝒉𝒐𝒍𝒆
4 x 90 = 360 ÷ 3 = 120
number
fraction
Solve Percent Problems
60 is 20% of what number?
Do this on your own.
Solve Percent Problems
60 is 20% of what number?
Bar Line Method
0%
20%
40%
60%
80%
100%
Percent Bar
60
60
60
60
60
!00% is worth how much?
60
Number Bar
Solve Percent Problems
60 is 20% of what number?
Bar Line Method
0%
20%
40%
60%
80%
100%
Percent Bar
60
60
60
60
60
60
Number Bar
!00% is worth how much? 60+60+60+60 + 60 =300
Solve Percent Problems
60 is 20% of what number?
percent
fraction
100 x 3 = 300
x3
𝟐𝟎
𝟏𝟎𝟎
𝟔𝟎
=
𝒘𝒉𝒐𝒍𝒆
number
fraction
Solve Percent Problems
60 is 20% of what number?
percent
fraction
𝟐𝟎
𝟏𝟎𝟎
𝟔𝟎
=
𝒘𝒉𝒐𝒍𝒆
𝟏
𝟔𝟎
=
𝟓 𝒘𝒉𝒐𝒍𝒆
5 x 60 = 300 ÷ 1 = 300
number
fraction
Solve Percent Problems
10 is 40% of what number?
(Do this on your own)
Solve Percent Problems
10 is 40% of what number?
percent
fraction
100 ÷ 4 = 25
÷4
𝟒𝟎
𝟏𝟎𝟎
𝟏𝟎
=
𝒘𝒉𝒐𝒍𝒆
number
fraction
Solve Percent Problems
10 is 40% of what number?
percent
fraction
𝟒𝟎
𝟏𝟎𝟎
𝟏𝟎
=
𝒘𝒉𝒐𝒍𝒆
𝟐
𝟏𝟎
=
𝟓 𝒘𝒉𝒐𝒍𝒆
5 x 10 = 50 ÷ 2 = 25
number
fraction
Solve Percent Problems
What number is 40% of 60?
(Do this on your own)
Solve Percent Problems
What number is 40% of 60?
60
x .4
24.0
40% of 60 is 24
Solve Percent Problems
What number is 40% of 60?
percent
fraction
𝟒𝟎
𝟏𝟎𝟎
𝒑𝒂𝒓𝒕
=
𝟔𝟎
𝟐 𝒑𝒂𝒓𝒕
=
𝟓
𝟔𝟎
2 x 60 = 120 ÷ 5 = 24
number
fraction
Solve Percent Problems
225 is 75% of what number?
(Do this on your own)
Solve Percent Problems
225 is 75% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
225
75
75
75
!00% is worth how much?
75
Number Bar
Solve Percent Problems
225 is 75% of what number?
Bar Line Method
0%
25%
50%
75%
100%
Percent Bar
225
75
75
75
75
Number Bar
!00% is worth how much? 75+75+75+75=300
Solve Percent Problems
225 is 75% of what number?
percent
fraction
100 x 3 = 300
x3
𝟕𝟓
𝟏𝟎𝟎
𝟐𝟐𝟓
=
𝒘𝒉𝒐𝒍𝒆
number
fraction
Solve Percent Problems
225 is 75% of what number?
percent
fraction
𝟕𝟓
𝟏𝟎𝟎
𝟐𝟐𝟓
=
𝒘𝒉𝒐𝒍𝒆
𝟑
𝟐𝟐𝟓
=
𝟒 𝒘𝒉𝒐𝒍𝒆
4 x 225 = 900 ÷ 3 = 300
number
fraction
Solve Percent Problems
What percent of 25 is 5?
Do this on your own.
Solve Percent Problems
What percent of 25 is 5?
Bar Line Method
0%
20%
40%
60%
80%
100%
Percent Bar
25
5
5
5
5
5
Number Bar
!00% is worth how much? 60+60+60+60 + 60 =300
Solve Percent Problems
What percent of 25 is 5?
Bar Line Method
0%
20%
40%
60%
80%
100%
Percent Bar
25
5
20%
5
5
5
5
Number Bar
Solve Percent Problems
What percent of 25 is 5?
percent
fraction
?
𝟏𝟎𝟎
𝟓
=
𝟐𝟓
x4
5 x 4 = 20
number
fraction
Solve Percent Problems
Agenda Notes
Homework –
Homework Practice 2.8a
Due Tue, Sept 22
Circle your answers
Chapter 2 Test
Tuesday, Sept 29
Accum Review 2 due Tuesday, Sept 29