______________________
Author: Jonah Warshaw
One of the best ways to get students interested in math is to provide real-life scenarios that promote learning and critical thinking while also getting them interested in topics that matter. This article (which is a great activity to both practice math and evaluate future education) is just one activity that blends coaching and tutoring in a way that engages this generation.
______________________
Comparing University Costs and Salaries to High School Diploma Salaries
As the New Year begins, it’s the perfect time to reflect on our journeys and the paths ahead. With the new year beginning, many are considering their educational and career choices.
Understanding the financial implications of pursuing a college degree versus entering the workforce right after high school is crucial. If you are an educator, a parent, or a student - let's take a moment to evaluate how long it will take for a college degree to pay for itself compared to a starting high school salary.
By examining these options, you and your students can make informed decisions that align with long-term goals. Investing in the future can lead to greater opportunities and fulfillment. Let’s embrace this season of reflection and look forward to a year filled with potential!
Introducing a Real-World Scenario
In today's fast-changing world, critical thinking skills are more essential than ever. Understanding the financial impact of educational and career choices equips students with the tools to navigate real-life decisions confidently. This activity models a real-world scenario where students use systems of equations to analyze and compare the financial benefits of earning a college degree versus entering the workforce directly after high school. By exploring these equations, students not only practice essential math skills but also gain a deeper appreciation for how mathematical concepts apply to their futures. This exercise encourages them to consider factors like return on investment, opportunity costs, and long-term career goals—valuable insights for making informed decisions in an increasingly complex economic landscape.
Definition
A linear system of equations is the point where two lines meet.
Methods for Solving Linear Systems
1. Graphing
Plot each line on the same graph.
Identify where the two lines meet.
2. Substitution
Isolate the x or y variable for both lines.
Substitute that expression into the other equation.
Solve for the remaining variable.
3. Elimination
Multiply one or both equations to align coefficients.
Add or subtract the equations to eliminate one variable.
Solve for the remaining variable.
Comparing Salaries Based on Degree Level Using System of Equations
For a printable copy, click below:
Conclusion
In this scenario, with a higher salary after graduation, the university graduate recovers their investment 10 years after high school graduation or 6 years after college graduation. The high school graduate has a higher total income up until those 10 years. It’s important to consider factors like job satisfaction, career aspirations, and the potential for higher earnings in specialized fields when making educational decisions.
Further Considerations
What other costs (opportunity costs, student loans) might affect these calculations?
How does the return on investment vary by degree and field of study?
What is the average time to secure a job after graduation, and how does that impact earnings?
How might work study or part-time jobs while in college offset costs?
What noneconomic value does further education provide?
_____________
Commentaires