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Khan Academy

Khan Academy: Graphs of Logarithmic Functions

For Students 9th - 10th Standards
Graph logarithmic functions and find the appropriate graph given the function.
eBook
CK-12 Foundation

Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions

For Students 9th - 10th Standards
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
Activity
Cool Math

Coolmath: Graph of Exponentials

For Students 6th - 9th
This algebra lesson explains how to graph exponentials.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Exponentials and Logarithms Ii

For Teachers 9th - 10th Standards
The purpose of this task is to help learners see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...
Activity
Wolfram Research

Wolfram Math World: Common Logarithm

For Students 9th - 10th Standards
This MathWorld site gives two and three dimensional graph representations of the common logarithmic function, explains its notation, and shows how to represent a common logarithm as a natural logarithm. This site contains numerous...
Handout
Wolfram Research

Wolfram Math World: Natural Logarithm

For Students 9th - 10th Standards
This site gives graphs of logarithmic functions and pays particular attention to base 10 and base e (natural logarithm). The site explains how to change bases, the importance of the natural logarithm in calculus, incorporating the...
Activity
Richland Community College

Richland Community College: Logarithmic Functions

For Students 9th - 10th Standards
This site from Richland Community College includes basic definition, properties, and graph of the logarithmic function.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Activity
University of Vienna (Austria)

Maths Online: Recognize Functions 3

For Students 9th - 10th Standards
An excellent place to test your ability to recognize the graphs of sine and cosine and their various associated forms. A Java applet is also included to plot your own function.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Exponential Functions

For Students 9th - 10th Standards
Good site about exponential functions. The site has information on significance, notation, rules, graphs, etc.
Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Activity
TeachEngineering

Teach Engineering: Linear Regression of Bmd Scanners

For Teachers 9th - 10th
Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.
Activity
Math Medics

S.o.s. Math: Graphs of Exponential & Logarithmic Function

For Students 9th - 10th Standards
This lesson gives brief description of dependent and independent variables and how they relate to the exponential and logarithmic functions.
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas

For Students 9th - 10th Standards
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Review

For Students 9th - 10th Standards
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions

For Students 9th - 10th Standards
This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.
Activity
Purple Math

Purplemath: Algebra Resources

For Students 9th - 10th
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
eBook
Hofstra University

Hofstra University: Calculus Applied to the Real World

For Students 9th - 10th Standards
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Activity
Richland Community College

Richland Community College: Algebra Lecture Notes

For Students 9th - 10th Standards
This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.6 Transformations of Log Functions

For Students 9th - 10th Standards
This section explores the many ways that logarithmic functions can be transformed, and how those transformations cause their graphs to be translated in different ways.
Activity
San Diego State University

San Diego State University: Allometric Modeling

For Students 9th - 10th Standards
This site shows how to use exponential graphs to model AIDS cases. Very detailed site.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Inverse Functions

For Students 9th - 10th Standards
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
Activity
Texas Instruments

Texas Instruments: Solve Log Equation

For Teachers 9th - 10th Standards
This StudyCards set begins with "what is an equation?" and continues by developing the connection between points on the graph of the related function and a solution to an equation.

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