Standard 3 : Describe the advantages and disadvantages of short-term and long-term purchases.



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General Information

Number: MA.912.FL.3
Title: Describe the advantages and disadvantages of short-term and long-term purchases.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Financial Literacy

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.FL.3.1: Compare simple, compound and continuously compounded interest over time.
Clarifications:
Clarification 1: Instruction includes taking into consideration the annual percentage rate (APR) when comparing simple and compound interest.
MA.912.FL.3.2: Solve real-world problems involving simple, compound and continuously compounded interest.
Clarifications:
Clarification 1: Within the Algebra 1 course, interest is limited to simple and compound.
MA.912.FL.3.3: Solve real-world problems involving present value and future value of money
MA.912.FL.3.4: Explain the relationship between simple interest and linear growth. Explain the relationship between compound interest and exponential growth and the relationship between continuously compounded interest and exponential growth.
Clarifications:
Clarification 1: Within the Algebra 1 course, exponential growth is limited to compound interest.
MA.912.FL.3.5: Compare the advantages and disadvantages of using cash versus personal financing options.
Clarifications:
Clarification 1: Instruction includes advantages and disadvantages for a business and for an individual.

Clarification 2: Personal financing options include debit cards, credit cards, installment plans and loans.

MA.912.FL.3.6: Calculate the finance charges and total amount due on a bill using various forms of credit using estimation, spreadsheets and other technology.
Clarifications:
Clarification 1: Instruction includes how annual percentage rate (APR) and periodic rate are calculated per month and the connection between the two percentages.
MA.912.FL.3.7: Compare the advantages and disadvantages of different types of student loans by manipulating a variety of variables and calculating the total cost using spreadsheets and other technology.
Clarifications:
Clarification 1: Instruction includes students researching the latest information on different student loan options.

Clarification 2: Instruction includes comparing subsidized (Stafford), unsubsidized, direct unsubsidized and PLUS loans. 

Clarification 3: Instruction includes considering different repayment plans, including deferred payments and forbearance.

Clarification 4: Instruction includes how interest on student loans may affect one’s income taxes.

MA.912.FL.3.8: Calculate using spreadsheets and other technology the total cost of purchasing consumer durables over time given different monthly payments, down payments, financing options and fees.
MA.912.FL.3.9: Compare the advantages and disadvantages of different types of mortgage loans by manipulating a variety of variables and calculating fees and total cost using spreadsheets and other technology.
Clarifications:
Clarification 1: Instruction includes understanding various considerations that qualify a buyer for a loan, such as Debt-to-Income ratio. 

Clarification 2: Fees include discount prices, origination fee, maximum brokerage fee on a net or gross loan, documentary stamps and prorated expenses. 

Clarification 3: Instruction includes a cost comparison between a higher interest rate and fewer mortgage points versus a lower interest rate and more mortgage points. 

Clarification 4: Instruction includes a cost comparison between the length of the mortgage loan, such as 30-year versus 15-year. Clarification 5: Instruction includes adjustable rate loans, tax implications and equity for mortgages.

MA.912.FL.3.10: Analyze credit scores qualitatively. Explain how short-term and long-term purchases, including deferred payments, may increase or decrease credit scores. Explain how credit scores influence buying power.
Clarifications:
Clarification 1: Instruction includes how each of the following categories affects a credit score: past payment history, amount of debt, public records information, length of credit history and the number of recent credit inquiries.

Clarification 2: Instruction includes how a credit score affects qualification and interest rate for a home mortgage.

MA.912.FL.3.11: Given a real-world scenario, establish a plan to pay off debt.
Clarifications:
Clarification 1: Instruction includes the comparison of different plans to pay off the debt. 

Clarification 2: Instruction includes pay off plans for a business and for an individual.

MA.912.FL.3.12: Given fixed costs, per item costs and selling price, determine the break-even point for sales volume.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.912.FL.3.AP.1: Compare simple and compound interest over time.
MA.912.FL.3.AP.2: Solve real-world problems involving simple and compound interest.
MA.912.FL.3.AP.4: Identify the relationship between simple interest and linear growth. Identify the relationship between compound interest and exponential growth.
MA.912.FL.3.AP.5: Select the advantages and disadvantages of using cash versus credit.
MA.912.FL.3.AP.6: Given a bill statement, identify the finance charge, interest rate and total amount due.
MA.912.FL.3.AP.7: Given two different student loan options, compare the advantages and disadvantages of each loan’s interest rate, monthly payment and total cost.
MA.912.FL.3.AP.8: Given the total cost of an item purchased using two different payment plans, calculate the total cost difference of the item between payment plans.
MA.912.FL.3.AP.9: Given two different mortgage loans, one 15-year and one 30-year, compare the advantages and disadvantages of each loan’s interest rate, monthly payment and total cost.
MA.912.FL.3.AP.10: Identify how short-term and long-term purchases, past payment history, and amount of debt may increase or decrease credit scores.
MA.912.FL.3.AP.11: Given several payment plans, with the monthly payment calculated, select the plan that will reduce the debt the quickest.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessment

Name Description
College Costs:

Students are asked to transform an exponential expression so that the rate of change corresponds to a different time interval.

Lesson Plans

Name Description
How much is your time worth?:

This lesson is designed to help students solve real-world problems involving compound and continuously compounded interest. Students will also be required to translate word problems into function models, evaluate functions for inputs in their domains, and interpret outputs in context.

The Cost of Credit: Financing an Automobile:

Students will play a Scratch program and make choices to simulate buying and financing an automobile to explore the cost of credit, in this lesson plan.