RWLO Title 
Student Materials 
Description 
Author(s) 
Polynomial Functions and Mathematical Modeling

Student Directions and Additional Materials

Using the Global Sun Temperature Telecollaborative database, students learn how quadratic equations and other highorder polynomials can be used to model nonlinear relationships (e.g. temperature vs. latitude).

Mercedes McKay, Instructional Technology Specialist, Stevens Institute of Technology 
How Much Does This House Really Cost? (.doc) 
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This project allows students to investigate how much they would actually pay for a house through a 30year fixedrate mortgage, with interest included, after 30 years. 
Dr. Daniel J. Rose, Assistant Professor of Mathematics, Mercer County Community College 
Linear Functions and Mathematical Modeling (.doc) 
 Assignment_Handout.doc
 Graph_Paper.doc
 Graphical_Analyses.doc 
Students use a collaborative database to graph boiling point and altitude data and derive the linear function that describes this relationship. This model can be used to predict boiling points at different altitudes which can be compared to known values. 
Lois HansenPolcar, Assistant Professor, Cuyahoga Community College 
Population Explosion Using an Exponential Function (.doc) 
Continuous_Change_Model_Worksheet.doc
Constant_Growth_Rate_Model_Worksheet.doc 
Students will derive and use two different population growth models to estimate populations after 1999. 
Julie Cronin, Assistant Professor of Mathematics, Cuyahoga Community College / Mercedes McKay, Instructional Technology Specialist, Stevens Institute of Technology 
Logarithms and Car Payments (.doc) 
 Car_Loan_worksheet.doc 
Students will use logarithms to calculate how long it will take them to pay off a car loan based on the amount of the loan, the monthly payment, and an interest rate. 
Julie Cronin, Assistant Professor of Mathematics, Cuyahoga Community College 
Using the Equation of a Line to Determine the Rotational Rate of the Sun (doc) 
 sun_longitude_and_latitude_grid.doc
 sunspot_data_worksheet_.doc
 assessment_of_sunspot_data_worksheet.doc 
Students will use sunspot solar coordinates to create a linear position vs. time graph and calculate the equation of this line to determine the rotational rate of the sun. 
Julie Cronin, Assistant Professor of Mathematics, Cuyahoga Community College 
Monthly Mortgage Payment (doc) 
 Mortgage worksheet 
Calculate the monthly mortgage payment for a home using 15 and 30 year terms. 
Susie Nagorney, Assistant Professor, Cuyahoga Community College 
Logarithms and the Richter Scale (.doc) 
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The focus is on the application of logarithms as used in the Richter Scale, which identifies the magnitude of earthquakes. In addition, the relationship between basic exponential and logarithmic functions is emphasized. 
Dr. Debbie Massari, Cuyahoga Community College 
Extra housepayments effect 
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Students will access the Internet to find a current interest mortgage rate for their city and state. They will apply this rate to an Internet based mortgage calculator and discover the effect that paying extra on their monthly house payment has on total interest paid and length of the loan. 
Frank Bambic, Instructor, Cuyahoga Community College 
Cell Phone Algebra 
Student materials 
Students acquire cell phone plan costs from provider websites and create an algebraic expressions that represents the cost of the plan. Data is used to compare different providers. 
Erika M. Weliczko, Instructor, Cuyahoga Community College 
Linear Function Applied to Flight Distance (.doc) 
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This RWLO will take a student through the journey of applying a realworld experience into the context of learning and understanding linear equations. The journey will be one of a realtime airline flight in progress. It will be a simple application of using the point slope form, slope intercept form, and the graphing of a linear function to verify the distance traveled by the flight. 
Karl Naito 
Which Airline Is the Best? (.doc) 
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Students will locate data concerning various airlines' flight delays, mishandled baggage and other consumer complaints. They will record specified information, make some observations, interpretations and simple calculations with the recorded data and answer various questions by which they may be assessed. 
Maura Corley, Professor, Henderson Community College 
Who wants to be a Millionaire? (.doc) 
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This primary source RWLO is an exploration of exponential growth and decay. 
Laurene Kirby, Assistant Professor, Mathematics, Moraine Valley Community College 
Earthquakes! Amplitude and Magnitude Connection RWLO  A (.doc) 
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This RWLO is the first of three separate and sequential RWLOs. Students will understand the differences and the connections between the Amplitude and Magnitude of Earthquakes. 
Patricia M. Falbo, Associate Professor of Mathematics, NHMCCD 
Bath Time with Archimedes (.doc) 
Student Worksheet (.doc) 
Students will use a bath tub simulation to explore the connections between certain events and their effects on the graph of a function. 
Marie Gardner, Instructor, Neosho County Community College 
Who Wants to be a Millionaire (.doc) 
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Students investigate various types of monthly savings investments, varying interest rates and the formula used to calculate monthly savings payments. 
Deborah Primm, Professor, Central Arizona College 