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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
Analyze Math

Analyze Math: Convert Logarithms and Exponentials

For Students 9th - 10th Standards
The tutorial examines logarithmic functions and exponential functions. The activity consists of examples with detailed solutions.
Unknown Type
Khan Academy

Khan Academy: Graphs of Logarithmic Functions

For Students 9th - 10th Standards
Graph logarithmic functions and find the appropriate graph given the function.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Using and Deriving Algebraic Properties of Logarithms

For Students 9th - 10th Standards
The resource investigates how to use and derive algebraic properties of logarithms. Students learn about the concepts through notes and examples. Practice problems are included.
Graphic
Math Medics

S.o.s. Math: Exponential Functions

For Students 9th - 10th Standards
S.O.S. Math provides overviews, that include graphs, of the exponential function and the logarithmic function.
Activity
Math Medics

S.o.s. Math: Logarithms and Exponential Functions

For Students 9th - 10th Standards
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
Activity
Other

Wpi/app. Of the Natural Logarithm and Exponential

For Students 9th - 10th Standards
A page showing real life applications of natural logarithms in exponential grown and decay functions and Newton's law of cooling. Also includes exercises.
Handout
Other

Brown Math: It's the Law Too the Laws of Logarithms

For Students 9th - 10th
The laws of logarithms (which flow directly out of the laws of exponents) are discussed here. Combining logs with the same base and the Change of Base Formula are also explained in straightforward language for the reader.
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...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Exponential Modeling

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to exponential equations, their graphs, and their application in the real world. The lesson is framed in the context of the number of cell phone users for a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Exponentials

For Teachers 9th - 10th Standards
For this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
Handout
Other

Wpi: Exponential Decay and Effective Medicine Dosage

For Students 9th - 10th Standards
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
Activity
University of California

University of California: Integrals and the Natural Log

For Students 9th - 10th Standards
This site explains the natural log and its integral. Includes examples.
Handout
Purple Math

Purplemath: Solving Logarithmic Equations: Solving From the Definition

For Students 9th - 10th Standards
This Purplemath lesson teaches students to solve logarithmic equations. There are many examples and links to solving with exponentials and calculator considerations at the top of the lesson.
Lesson Plan
TeachEngineering

Teach Engineering: Common and Natural Logarithms and Solving Equations

For Teachers 9th - 10th Standards
Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions

For Students 9th - 10th Standards
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
Unknown Type
Hofstra University

Hofstra University: Logarithmic and Exponential Functions

For Students 9th - 10th Standards
This is a 20 question quiz on logarithmic and exponential functions. This is a good way to be sure you know how to use logarithms and exponents. The site however only tells you if you've made a correct choice, there are no explanations.
Unit Plan
CK-12 Foundation

Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
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. Students experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.8 Solving Logarithmic Equations

For Students 9th - 10th Standards
This section addresses how to solve different types of logarithmic equations. It explores how to condense expanded equations and how to convert logarithmic equations into exponential ones.
Activity
Texas Instruments

Texas Instruments: Number Power!

For Teachers 9th - 10th Standards
In this activity, students explore patterns and rules in dealing with exponents and logarithms. They evaluate expressions with exponents and logarithms and display them in various notations. They will use their calculators to discover...
Unit Plan
TED Talks

Ted: Ted Ed: Logarithms Explained

For Students 9th - 10th
This animated video explores logarithms and explains how they are used in chemistry. Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Non Linear Functions and Models

For Students 9th - 10th Standards
The topic summary outlines non-linear functions and models. Some topics reviewed are quadratic functions, exponential functions, logistic functions, and logarithms. The resource consists of definitions, notes, and examples.

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