1. Algebra Resources for the TN-NspireMedia4Math includes a variety of free andpremium resources, including short videotutorials on the Nspire, Math in the News, andother tutorials.

2. Algebra Resources for the TN-NspireIn this presentation we will focus on our DVDLibrary, Algebra Applications. 3. Algebra Resources for the TN-NspireVolume 1 Volume 21. Linear Functions6. Functions and2. Quadratic FunctionsRelations3. Variables and 7. Exponential Functions Equations 8. Logarithmic Functions4. Inequalities9. Rational Functions5. Data Analysis 10. Systems of Equations 4. Algebra Resources for the TN-NspireAlgebra Applications: Data Analysis focuses onthe housing crisis of 2008. 5. Algebra Resources for the TN-NspireThe impact of the housing crisis was a steep dropin the stock market. 6. Algebra Resources for the TN-NspireThe value of houses on the market began to godown and some had trouble keeping up withsuddenly higher mortgage payments. 7. Algebra Resources for the TN-NspireAs a result, the number of foreclosures began toincrease dramatically. 8. Algebra Resources for the TN-NspireTo get a better understanding of the housingcrisis, we start with what a mortgage is. 9. Algebra Resources for the TN-NspireWe use the TI-Nspire to explore differentmortgage scenarios and also construct anamortization table. 10. Algebra Resources for the TN-NspireWe start by opening a Spreadsheet window andlabeling three cells for the loan amount, theinterest rate, and the total number of payments. 11. Algebra Resources for the TN-NspireWe input the values shown, and we use theNspires Time Value of Money function tocalculate the mortgage amount. 12. Algebra Resources for the TN-NspireThe TVMPMT function takes six values: thenumber of payments, interest, loan amount,future value, and payments and compoundingsper year. 13. Algebra Resources for the TN-NspireThe future value is set to zero sincewere calculating full repayment ofthe loan. 14. Algebra Resources for the TN-NspireThe result is the monthly mortgagepayment, set as a negative value. 15. Algebra Resources for the TN-NspireWe can now calculate the full valueof the loan, principal plus all interestpayments. 16. Algebra Resources for the TN-NspireSo, for this mortgage the loanrepayment is nearly twice the valueof the original loan amount. 17. Algebra Resources for the TN-NspireWhy is the repayment so much morethan the original loan amount? Eachpayment is used to pay interest andpincipal. 18. Algebra Resources for the TN-NspireSo, lets add a new column to thespreadsheet to track how the balanceon the loan changes with eachpayment. 19. Algebra Resources for the TN-NspireThe Current Loan Balance is made upof these three values. 20. Algebra Resources for the TN-NspireUse this formula to calculate theCurrent Loan Balance. 21. Algebra Resources for the TN-NspireThe varying balances can becalculated using the GenerateSequence feature. 22. Algebra Resources for the TN-NspireU(n-1)*(1+B2/100/12)+B4Use this Generate Sequence Formulafor Column C. 23. Algebra Resources for the TN-NspireFill out the Generate Sequencedialogue box. 24. Algebra Resources for the TN-NspireColumn C now has all the CurrentBalance amounts for payments 1through 360. 25. Algebra Resources for the TN-NspireKnowing what the Current Balance is,we can calculate how much of eachmonthly payment is interest only. 26. Algebra Resources for the TN-NspireUse a column-level formula to find thepercentage of the Current Balance isinterest only. 27. Algebra Resources for the TN-NspireColumn D shows the amount of themortgage payment made up ofinterest only. At the start of the loan,its mostly interest. 28. Algebra Resources for the TN-NspireWe can now also calculate theamount of each mortgage paymentthat goes to the principal. 29. Algebra Resources for the TN-NspireCreating a Principal-vs.-Interestscatterplot reveals an interestingpattern. 30. Algebra Resources for the TN-NspireLet lables principal and interestare based on the Spreadsheet columnheadings. 31. Algebra Resources for the TN-NspireTo see al lof the graph, dont forget tochange the Window settings to ZoomData. 32. Algebra Resources for the TN-NspireThis is the graph of Principal vs.Interest throughout the life of theloan. 33. Algebra Resources for the TN-NspireFinally, we can calculate the Equity,as the loan is gradually repaid. 34. Algebra Resources for the TN-NspireTotal Equity is found using thisformula. But in 2008, the increase invalue of the house was a decrease.