1. Introduction to Education and Earning Potential PERKINS MATH INTEGRATION – JR. HIGH

2. 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.

3. Bell Work

4. 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

5. 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.

6. 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?

7. 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?

8. 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

9. 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:

10. 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

11. 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.

12. Evaluating Percent of Change Example 2 Average Price of a Gallon of Gas June2.70 August2.55 October2.25 What is the percent of change in the price of gasoline from June to October? Is this an increase or decrease?

13. Step One Average Price of a Gallon of Gas June2.70 August2.55 October2.25 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

14. Step Two Average Price of a Gallon of Gas June2.70 August2.55 October2.25 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:

15. Step Three Average Price of a Gallon of Gas June2.70 August2.55 October2.25 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 =

16. Step Four Average Price of a Gallon of Gas June2.70 August2.55 October2.25 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.

17. Extension Average Price of a Gallon of Gas June2.70 August2.55 October2.25 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.

18. 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.

19. 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.