Web+lesson+-+Compound+Interest

**Compounding Interest ** A Problem-Based Lesson for //Secondary Algebra// Designed by //Michael Vogler and Rick Treadway mvogler@fusd1.org and [|rtreadway@fusd1.org]//     

Students will be able to apply the concept of compounding interest to decisions regarding investment and vehicle loans. To do this, they will complete three tasks:  Arizona K-12 Content Standards **Strand** **3: Patterns, Algebra, and Functions/****Concept 3: Algebraic Representations** // Represent and analyze mathematical situations and structures using algebraic representations. // <span style="FONT-FAMILY: Arial,Helvetica,sans-serif">[|http://www.ade.state.az.us/standards/contentstandards.asp</span]> <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"> <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">Arizona Technology Standards <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">3T-P2. Use a variety of technology tools for data collection and analysis to support a decision <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">3T-P4. Use technology tools to support modeling and system analysis <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">4T-E2. Use technology tools for individual and collaborative writing, communication  <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">and publishing activities toutside the classroom <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">http://www.iste.org/
 * Task**
 * 1) Determine the amount that you would have to save each month to reach a goal of $5000 by the time that you are 21.
 * 2) Determine the amount of money remaining in an investment account with a principal of $5,000 and an interest rate of 4%.
 * 3) Using information obtained from the cars.com website, determine the monthly payments and total cost for a new car of your choice.
 * 4) Reflect on whether you would choose to invest the money or purchase a new car.
 * Standards**
 * PO 1. Evaluate algebraic expressions, including absolute value and square roots.
 * PO 2. Simplify algebraic expressions.
 * PO 3. Multiply and divide monomial expressions with integral exponents.
 * PO 2. Create and use a spreadsheet to analyze variables (e.g., 12-month budget, loan rates, science and math experiments, and investment portfolios)
 * PO 3. Analyze data and create a database report from information manipulated in a variety of ways to support decisions (e.g., census data, polls and surveys, annual report)

21st Century Skills <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">http://www.21stcenturyskills.org/route21/ <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"> Calculators Internet site: cars.com || <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"> <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif">    <span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"><span style="FONT-FAMILY: Arial,Helvetica,sans-serif"> [|Rubric]
 * Making complex choices and decisions
 * Understanding the interconnections among systems
 * //Procedure//**
 * Student steps || Teacher directions || Scaffolding/Technology ||
 * 1. Access the webquest located at wikispaces.com/michaelvogler || Ensure that students are accessing the proper webpage || Web browser ||
 * 2. Students will follow the instructions for the webquest || Clarify any misunderstandings and answer general questions || Microsoft Word and Excel
 * 3. Post the worksheet to the wikispace || Help students enter discussions || Web browser ||
 * Assessment**

//computer (word & excel) scientific calculator// www.cars.com
 * Materials**