Introduction to Education and
Earning Potential
PERKINS MATH INTEGRATION – JR. HIGH
Arizona’s College and Career Ready Mathematical Standard:
7.RP.A.3 – Use proportional relationships to solve multi-step
ratio and percent problems. Examples: simple interest, tax,
markups and markdowns, gratuities and commissions, fees,
percent increase and decrease, percent error.
Bell Work
1. What is 50% of 130?
2. What is the difference between 33,000 and 59,000?
3. What is the decimal for
hundredth?
4,000
,
26,000
rounded to the nearest
4. What is 0.15 written as a percent?
OBJECTIVE
Topic: Percent of Change – Increase and Decrease – as it
applies to career choice based upon education level.
Do: Students will discover the percent of change between
salaries for career choices based upon level of education.
Level of Thinking: Applying
Vocabulary
Certification/Credential – Documentation of a qualification or skill, issued by a third
party, usually taking less than two years to earn.
Associate’s Degree – A degree earned after a two-year course of study, usually
awarded by a community college, technical college or junior college.
Bachelor’s Degree – A degree earned for an undergraduate course of study that
normally requires three to five years of study, usually awarded by a university.
Master’s Degree – A degree earned for a graduate course of study in a specialized
area that normally requires two additional years of study beyond a Bachelor’s
Degree.
Difference – The result of a subtraction problem.
Percent of Change – A ratio that compares the change in quantity to the original
amount. Can be an increase or decrease, depending on whether the amount
increases or decreases from the original amount.
Annual Salaries – Partner Share
Discuss the following questions with the person next to you
 What is an annual salary?
 What is the difference between annual
salary and hourly wage?
 Which do you think would help you earn a
larger annual salary – an Associate’s Degree or
a Bachelor’s Degree? Why?
Evaluating Percent of Change
Example 1
The price of a circular saw in 2014 was $89.
This week, Home Depot advertised circular
saws for $119.
 What is the percent of change in the price of
a circular saw?
 Is this an increase or decrease?
Step One
The price of a circular saw in 2014 was $89. This week, Home Depot
advertised circular saws for $119.
 What is the percent of change in the price of a circular saw?
 Is this an increase or decrease?
Find the difference between the original (beginning)
price and the ending price.
119 – 89 = 30
Step Two
The price of a circular saw in 2014 was $89. This week, Home Depot
advertised circular saws for $119.
 What is the percent of change in the price of a circular saw?
 Is this an increase or decrease?
𝟑𝟎
Substitute values into 𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆
=
𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆
the following ratio:
𝟖𝟗
Step Three
The price of a circular saw in 2014 was $89. This week, Home Depot
advertised circular saws for $119.
 What is the percent of change in the price of a circular saw?
 Is this an increase or decrease?
Change the ratio to a decimal by dividing :
𝟑𝟎
𝟖𝟗
=
0.34
Step Four
The price of a circular saw in 2014 was $89. This week, Home Depot advertised
circular saws for $119.
 What is the percent of change in the price of a circular saw?
 Is this an increase or decrease?
Change 0.34 to a percentage and decide if this
represents an increase or a decrease.
34 % increase, because the ending
price is more than the original price.
Evaluating Percent of Change
Example 2
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
Step One
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
Find the difference between the original (beginning) price and the
ending price.
2.70 – 2.25 = .45
Step Two
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
. 𝟒𝟓
𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆
=
Substitute values into the following ratio:
𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆
𝟐. 𝟕𝟎
Step Three
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
Change the ratio to a decimal by dividing .45 by 2.70 = 0.17
(Rounded to the
nearest hundredth)
Step Four
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
Change 0.17 to a percentage and decide if this represents an increase or a
decrease.
17 % decrease, because the ending
price is less than the original price.
Extension
Average Price of a Gallon of Gas
June
August
October
2.70
2.55
2.25
What is the percent of change in the price of gasoline from June to October?
Is this an increase or decrease?
Can you find the percent of change between June and August and decide if
it is a percent increase or a percent decrease?
6% decrease, because the August price
is less than the original price.
Application
Turn to page 3 of the note sheet and complete the activity
there:
 Choose one job from each education level
a. Write the job and salary in the spaces provided
 Find the percent increase or decrease between each
level.
What Did YOU Learn??
On the second page of your note sheet,
do your best to explain in words how to
find a percent increase or decrease.