# Natural Logarithm Teacher Resources

Find Natural Logarithm lesson plans and worksheets
Showing 1 - 24 of 54 resources
Lesson Planet

#### Motion Problems Using Exponential and Natural Logarithmic Functions

For Teachers 10th - 12th Standards
Velocity and acceleration are concepts often found in physics or calculus, but this worksheet makes them approachable for the upper-level algebra participant. Learners gain practice manipulating natural logarithms and exponential...
Lesson Planet

#### Natural Logarithm

For Teachers 9th - 12th Standards
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
EngageNY

#### The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Lesson Planet

#### Common and Natural Logarithms and Solving Equations

For Teachers 9th - 12th Standards
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
4:51
Lesson Planet

#### How Do You Convert From Exponential Form to Natural Logarithmic Form?

For Teachers 10th - 12th
This video shows how to convert an equation in exponential form to logarithmic form. The example shown uses base e, and it is converted to an equation using a natural logarithm.
2:17
Lesson Planet

#### What is a Natural Logarithm?

For Teachers 10th - 12th
The instructor shows how logarithms of base e can be written as using the natural logarithm notation, abbreviated ln.
4:33
Lesson Planet

#### How Do You Convert From Natural Logarithmic Form to Exponential Form?

For Teachers 10th - 11th
This video shows how to convert an equation in natural logarithmic form to exponential form in base e. The instructor reviews the definition of logarithms before completing an example.
Lesson Planet

#### Exponential Reflections

For Teachers 9th - 12th Standards
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Young scholars repeat the process using different exponential functions using a slider.
Lesson Planet

#### What is the Number "e"?

For Teachers 11th - 12th
Pupils explore natural logarithms.  In this calculus lesson plan, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Pupils solve problems involving exponential growth.
Lesson Planet

#### Natural Logarithms

For Students 11th
In this Algebra II worksheet, 11th graders solve equations involving natural logarithms.  The two page worksheet contains explanation, worked examples, and four practice problems.  Answers are not included.
Lesson Planet

#### Exponential Functions and the Natural Logarithm

For Teachers 8th - 12th Standards
Students solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Lesson Planet

#### ln 2 Series Poster

For Teachers 10th - Higher Ed
A nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and...
EngageNY

#### Changing the Base

For Teachers 10th - 12th Standards
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
Lesson Planet

#### Linear Regression of BMD Scanners

For Students 9th - 12th Standards
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
Lesson Planet

#### Natural Logarithm Rules

For Students 9th - 11th
In this algebra worksheet, students solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.
Lesson Planet

#### Exercise Set 3.2: Logarithmic Functions

For Teachers 9th - 12th
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
6:53
Lesson Planet

#### How to Use Logarithmic Differentiation to Find the Derivative

For Students 11th - Higher Ed
Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....
Lesson Planet

#### Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
5:54
Lesson Planet

#### Derivatives of Logarithms

For Students 11th - Higher Ed
It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...
Lesson Planet

#### Carbon 14 Dating

For Teachers 9th - 12th Standards
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
3:56
Lesson Planet

#### Proofs of Derivatives of Ln(x) and e6x

For Students 11th - Higher Ed
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof.  It contains a clearer version of both proofs shown in the videos titled, _Proof...
9:52
Lesson Planet

#### Proof: d/dx(ln x)=1/x

For Students 11th - Higher Ed
Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this...
4:40
Lesson Planet

#### Proof: d/dx(e^x) = e6x

For Students 11th - Higher Ed
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows a proof that derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this proof.
Lesson Planet

#### An Introduction to the Natural Logarithm (ln)

For Teachers 10th - 12th
Students explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.