Introduction to Education and Earning PotentialPERKINS MATH INTEGRATION – JR. HIGH

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 , rounded to the nearest hundredth?

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 Difference – The result of a subtraction problem. 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.

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.

Evaluating Percent of ChangeExample 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?

Substitute values into the following ratio:

𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍𝒑𝒓𝒊𝒄𝒆

=¿𝟑𝟎𝟖𝟗

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 :

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 ChangeExample 2

Average Price of a Gallon of Gas

June 2.70August 2.55October 2.25

What is the percent of change in the price of gasoline from June to October? Is this an increase or decrease?

Step OneAverage Price of a Gallon of Gas

June 2.70August 2.55October 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 TwoAverage Price of a Gallon of Gas

June 2.70August 2.55October 2.25

What is the percent of change in the price of gasoline from June to October? Is this an increase or decrease?

Substitute values into the following ratio: .𝟒𝟓𝟐 .𝟕𝟎

𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍𝒑𝒓𝒊𝒄𝒆

=¿

Step ThreeAverage Price of a Gallon of Gas

June 2.70August 2.55October 2.25

What is the percent of change in the price of gasoline from June to October? Is this an increase or decrease?

0.17(Rounded to the nearest hundredth)

Change the ratio to a decimal by dividing .45 by 2.70 =

Step FourAverage Price of a Gallon of Gas

June 2.70August 2.55October 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.

ExtensionAverage Price of a Gallon of Gas

June 2.70August 2.55October 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?

5% 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 levela. 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.