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Algebraic Connections
Std 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay.

Example: problems involving compound interest, bacterial growth, carbon-14 dating, depreciation, cooling point in chemistry


Lesson Plans

Exploring Exponential Growth and Decay Functions
In this unit, students will use and apply exponential functions of growth and decay in real-world situations. Students will collect and analyze data with the use of the TI-83 graphing calculator, graphs, tables, and other sources.

Rhinos and M&M’s® (Exponential Models)
This lesson from PBS is really an exponential model.  It creates an exponential model using M&M's.  It is also appropriate for lower grades. There is an accompanying online video.

Modeling Exponential Growth
In this online lesson, students solve typical exponential problems such as those that model exponential growth and decay.

Solving Exponential Equations
This is an online explanation of exponents and exponential equations.

World Populations Study
This lesson plan relates exponential growth to population growth.

Can Cruddy Cool As Fast As Clean?
Students will investigate variations in cooling times for ordinary tap water and salt water. Data will be collected using the CBL unit and the TI-82 calculator to create and interpret data plots. Students will become familiar with Newton’s Law of Cooling and be able to verbalize and write conclusions made from the collected data.

Chicago Public Schools
Introduction to solving logarithmic equations is given at day 100. The skill occurs several times throughout the chapter.

Compound Your Way to a Million Bucks!
Many people save and/or invest for their financial security. Students are often not aware of the strategy behind investing. This exercise will examine the question: “Is there a good, better, and best way to invest in an IRA?” The investment patterns of four people will be evaluated to determine if there is a ‘best’ way.

 

 

Resources:

Addison-Wesley Worksheets
Extra practice on radical equations

Biography
Biography of John Napier, inventor of Logarithms.

Power of Quakes
Information about the Richter Scale, using logarithm equations. Power of Earthquakes are given.

Logarithms in the pH Scale
An interactive list of household products for students to arrange by order of pH magnitude

SOS Math
This site is an online tutorial that explains many of the concepts in Algebra 2. It includes exercises.

Function Models of Light Decay
This activity explores the development of a mathematical model for the decay of light passing through water. The goal of this investigation is a rich exploration of exponential models in context

 

 

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