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Unit Plan
Department of Defense

Do Dea: Algebra 1: Semester Ii: Exponentials

For Students 9th - 10th Standards
A learning module through which students learn about exponentials including exponential functions, growth and decay, and geometric sequences.
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Activity
Texas Instruments

Texas Instruments: Exponential Functions: Growth and Decay

For Teachers 9th - 10th
Students can use exponential functions to study growth and decay. Students will solve word problems ranging from population to interest rates.
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Handout
Purple Math

Purplemath: Graphing Exponential Functions: Intro

For Students 9th - 10th Standards
An in-depth lesson which teaches you how to graph exponential equations. Examples are worked through step by step and explained in detail for different exponential equations.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le in the Billions and Exponential Modeling

For Teachers 9th - 10th Standards
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
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Activity
Interactive Mathematics

Interactive Mathematics: Dow Jones Industrial Average

For Students 9th - 10th
Students experience how exponential functions are related to the stock market through exponential growth and decay graphs.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Applications

For Students 9th - 10th
Provides examples of applications of exponential functions involving compound interest and exponential growth and decay, and an example of an application of a logarithm involving earthquake intensity.
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Activity
Texas Instruments

Texas Instruments: Transformations of Exponential Functions

For Teachers 9th - 10th
This activity assesses student's knowledge of transformations of exponential functions. Writing exponential functions that model growth and decay are also explored.
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Graphic
Texas Instruments

Texas Instruments: Algebra 1: Exponential Functions

For Students 9th - 10th
Students will use examples and an interactive graph to explore exponential functions such as growth and decay.
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Handout
Other

Algebra Lab: Applications of Exponential Functions

For Students 9th - 10th
Explains how exponential functions have applications in real-world scenarios, including a population of a city, the growth of bacteria, drug decay, and compounding interest. Includes four word problems to try, with hints and answers...
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Activity
Interactive Mathematics

Interactive Mathematics: Graphs of Exponentials & Logarithms

For Students 9th - 10th Standards
Interactive graphs of base 10 exponential and logarithmic functions are demonstrated and applied to real-world problems.
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Lesson Plan
University of South Florida

Fcat: Get a Half Life!: Teacher Notes

For Teachers 9th - 10th
Students use M&M's and a graphing calculator to collect and graph data. This activity helps them to understand exponential functions and the concept of half-life.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Exponential Decay and Growth

For Students 9th - 10th
Eleven problems present a variety of problems working with various aspects of exponential decay and growth. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
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Study Guide
Department of Defense

Do Dea: Growth and Decay

For Students 9th - 10th
Practice problems that each illustrate a different use of the Law of Exponential Change. Examples and explanations are provided. Great review for the AP Calculus test!
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Study Guide
Department of Defense

Do Dea: The Law of Exponential Change

For Students 9th - 10th
If you are a budding environmental scientist, archeologist. physical scientist, or bacteriologist, then this is the site is for you. You will be looking at the differential equation of proportional change and how it is related to the...
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.9 the Transcendental Number E and Natural Log

For Students 9th - 10th Standards
This section introduces the transcendental number e which is a special number that is considered a natural base. In addition to exploring how to simplify and solve equations with e, this section also investigates how it can be used to...
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Graphic
Richland Community College

Richland Community College: Exponential Models

For Students 9th - 10th Standards
This site from Richland Community College contains specific examples of where logarithmic and exponential formulas are used, including: exponential growth and decay, Gaussian, logistics growth, and logarithmic.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le.4 Graphene

For Teachers 9th - 10th
This task provides a real-world context for examining the power of exponential growth and decay. Young scholars experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find...
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Unit Plan
Math Is Fun

Math Is Fun: Compound Interest

For Students 9th - 10th Standards
Explains, with examples, what compound interest is and how to calculate it using a formula. Also shows how to work backwards to calculate the present value of an investment, how compound interest is calculated for different compounding...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Us Population 1790 1860

For Teachers 9th - 10th Standards
In this task, students are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is to help...
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Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Estudio Del Crecimiento De Una Funcion

For Students 9th - 10th Standards
Learn with these interactive exercises the concepts of growth and decay of a function and analyze the concepts with elementary functions.
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Handout
Purple Math

Purplemath: Logarithmic Word Problems

For Students 9th - 10th
Logarithmic word problems generally involve evaluating a given logarithmic equation at a given point, and solving for a given variable; they're pretty straightforward. This resource contains worked examples to demonstrate the reasoning...
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Whiteboard
ClassFlow

Class Flow: Polynomials Review for Test

For Teachers 9th - 10th
[Free Registration/Login Required] This flipchart can be used to review multiplication/division of monomials, scientific notation, and exponential growth and decay. It uses the Activote.
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Activity
Analyze Math

Analyze Math: Applications of Differential Equations

For Students 9th - 10th
Scholars examine applications of differential equations. Examples explore how differential equations are used to model population, Newton's law of cooling, and engineering systems.

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