Grade 6 · Mathematics
Quarter 4 · Week 9 · TEKS
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This Grade 6 mathematics lesson focuses on personal financial literacy by explaining various methods to pay for college, including savings, grants, scholarships, student loans, and work-study programs. Students will also compare annual salaries of different occupations requiring various levels of education or vocational training and calculate how these salaries affect lifetime income. The lesson uses concrete examples, guided practice, and real-world problems to develop economic thinking and problem-solving skills.
Students should understand basic arithmetic operations (addition, subtraction, multiplication, division) and be familiar with the concept of income and budgeting.
There are several ways students and families can pay for college. Savings involve setting aside money over time to cover college costs. Grants are funds provided by governments or organizations that do not need to be repaid and are often based on financial need. Scholarships are awards based on merit, talents, or other criteria and also do not require repayment. Student loans are borrowed money that must be repaid with interest after graduation. Work-study programs allow students to work part-time jobs to earn money for college expenses while gaining work experience.
Different occupations require various levels of postsecondary education or vocational training, which often affect the annual salary. For example, jobs requiring a bachelor's degree typically pay more annually than those requiring only a high school diploma or vocational training. Understanding these differences helps students make informed decisions about their education and career paths.
Lifetime income is the total amount of money earned over a person's working life. To calculate it, multiply the annual salary by the number of working years. Comparing lifetime incomes for different careers shows how education level and salary differences impact overall earnings. This calculation helps students appreciate the long-term value of education and training.
Model concepts with charts showing payment methods and career salaries. Use drawings or number lines to represent savings growth or loan repayment. Present real-world problems such as calculating how much money a student needs to save monthly to pay for college or comparing total earnings of two careers over 40 years.
Students may think that all student loans are bad without understanding repayment terms and benefits. They might assume scholarships cover all college costs or that higher education always guarantees a high salary. Clarify that payment methods often combine and that salary varies by occupation and location.
Calculate the lifetime income for a career with an annual salary of $40,000 over 40 years.
Multiply the annual salary by the number of working years: $40,000 × 40 = $1,600,000. This shows the total income earned over the career.
The lifetime income is $1,600,000.
If a student has saved $10,000, received a $5,000 scholarship, and needs $15,000 to pay for college, how much student loan will they need?
Add savings and scholarship: $10,000 + $5,000 = $15,000. Since the total needed is $15,000, the student does not need a loan.
The student will not need a student loan because savings and scholarship cover the cost.
Introduce the topic by asking students what they know about paying for college and what options they think exist.
Students share their ideas and experiences about college costs and payment methods.
This phase activates prior knowledge and sets the stage for learning about various college payment methods and career salaries.
Present concrete examples of savings, grants, scholarships, student loans, and work-study programs using charts and stories.
Students work in pairs to match definitions to each payment method and discuss how each helps pay for college.
Students explore and identify different methods to pay for college through hands-on matching and discussion.
Explain how to compare annual salaries for different careers and calculate lifetime income using sample data.
Students calculate lifetime income for given annual salaries and discuss how education level affects earnings.
This phase clarifies how education influences salary and how to compute total earnings over a career.
Provide real-world problems where students decide how to pay for college using combinations of methods and compare career salaries to lifetime income.
Students solve problems involving saving plans, scholarships, and loans; then compare career options based on salary data.
Students apply knowledge to realistic scenarios, integrating payment methods and salary comparisons to make informed decisions.
Ask students to explain the various methods to pay for college and calculate lifetime income based on given salaries.
Students complete an exit ticket describing payment methods and solving a lifetime income problem.
This phase assesses students' understanding of college payment options and salary comparisons through explanation and calculation.
Students work in pairs to match definitions to each payment method and discuss how each helps pay for college.
Name three methods to pay for college that do not require repayment.
Savings, grants, and scholarships.
Explain the difference between a grant and a student loan.
A grant is money that does not need to be repaid, while a student loan must be repaid with interest.
Calculate the lifetime income for a job paying $30,000 annually over 35 years.
$1,050,000.
Compare two careers with different salaries and calculate the difference in lifetime income over 40 years.
Career 1: $1,000,000; Career 2: $2,000,000; Difference: $1,000,000.
Calculate the student loan needed if savings, grants, and scholarships do not cover total college costs.
Subtract total funds from total cost to find loan amount.
Provide vocabulary cards with definitions for payment methods. Use visual aids and charts to explain concepts. Offer step-by-step guidance during calculations.
Use simple language and visuals to explain payment methods. Pair ELL students with peers for discussion. Provide sentence frames for explaining concepts.
Challenge students to research additional scholarships and grants. Have students create a budget plan combining multiple payment methods. Encourage analysis of how economic factors affect salaries over time.
Encourage students to discuss with family members how their family might save or plan to pay for college and what careers interest them based on salary and education requirements.
Students learned about various methods to pay for college, including savings, grants, scholarships, student loans, and work-study programs. They compared annual salaries of different careers requiring various education levels and calculated lifetime income to understand the financial impact of education and career choices. This knowledge helps students make informed decisions about their education and financial planning.
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