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...
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 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
Other

Humboldt State University: Natural Logarithm

For Students 9th - 10th Standards
Wonderful natural logarithm site from the Humboldt State University with example problems.
Activity
Help Algebra

Help algebra.com: Solving Logarithms and Exponentials

For Students 9th - 10th Standards
Examples are provided to demonstrate techniques for solving equations that contain logarithms and exponentials. Explanations of the solutions are also include to help further understanding of the concept.
Handout
University of Guelph

University of Guelph: Physics Tutorials: Logarithm Bases

For Students 9th - 10th Standards
This site explains the types of logarithms.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Kiss

For Teachers 9th - 10th Standards
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
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...
Unknown Type
Paul Dawkins

Paul's Online Notes: Limits at Infinity, Part Ii: Practice Problems

For Students 9th - 10th
Provides practice problems that review limits at infinity concentrating on exponentials, logarithms and inverse tangents in this section.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Algae Blooms

For Teachers 9th - 10th Standards
This problem examines the growth of algal blooms in Chesapeake Bay. Learners build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating in Practice Ii

For Teachers 9th - 10th Standards
This problem introduces Carbon 14 dating which is used by scientists to date certain organic material. This version is based on the ratio of Carbon 14 to Carbon 12, which decreases at a constant exponential rate after an organism dies....
Handout
University of St. Andrews (UK)

University of St. Andrews: Henry Briggs

For Students 9th - 10th
This site, which is provided for by the University of St. Andrews, contains information on the life and accomplishments of Henry Briggs.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Exponentials

For Teachers 9th - 10th Standards
In 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...
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. Learners experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
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.
Interactive
Cool Math

Coolmath: Solving for Time and Rates

For Students 9th - 10th Standards
Explanation and examples of solving exponential equations for time and rate.

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