Curated OER
Charging Up, Charging Down
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
Curated OER
Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
Curated OER
Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Carnegie Mellon University
Ocean Acidification
After brainstorming what they know about ocean acidification, youngsters place eggs in acid to determine the effects on calcium-containing organisms, and add carbon dioxide to solutions with sea shell material to discover the impact on pH.
Curated OER
Logariths
Students analyze, discuss and memorize the properties of logs. In this calculus activity, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from this activity...
Curated OER
Acid Rain
Students understand the dynamics of acid rain and its impact on the living and non-living environment. They hypothesize how acid rain affects water pH levels in two lake systems with differing watershed features.
Khan Academy
Khan Academy: Algebra Ii: Evaluate Logarithms: Change of Base Rule
Evaluate any logarithm in a calculator with the use of the change of base formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Anne Arundel Community College
Anne Arundel Community College: Math 131: Change of Base
The tutorial examines the change of base formula for logarithms. Students learn about the mathematics concept through examples with detailed solutions.
Other
Brown Math: It's the Law Too the Laws of Logarithms
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.
TeachEngineering
Teach Engineering: Common and Natural Logarithms and Solving Equations
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...
Paul Dawkins
Paul's Online Notes: Algebra: Logarithm Functions
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
Purple Math
Purplemath: Basic Log Rules / Explanding Logarithmic Expressions
Purplemath gives both a formal and informal discussion of log rules with exercises. Examples include expanding, simplifying, and evaluating logarithms. Changing the base of a logarithm is also discussed with examples.
Purple Math
Purplemath: Change of Base
This section of a Purplemath lesson gives the formula for a change of base with several examples. The lesson gives examples of typical problems involving changing the base of logarthims including: evaluating, converting to another base;...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
Learn about the following properties of logarithms: product rule, quotient rule, power rule, and change of base formula. This tutorial offers simple example of each as well as practice exercises for you to complete and check.
Windstream
Ojk's Precalculus Study Page: Change of Base Formula
An introduction to logarithms with bases other than 10 and e, and how to work with them when solving equations. This tutorial includes lots of examples and exercises with solutions.
Wolfram Research
Wolfram Math World: Common Logarithm
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...
Paul Dawkins
Paul's Online Notes: Logarithmic Functions Practice Problems
In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...
Math Medics
S.o.s. Math: Logarithms and Exponential Functions
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
Math Medics
S.o.s. Math: Algebra
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...
University of Utah
University of Utah: A Simple Example Logarithms
This site from the University of Utah provides a good simple base conversion page.
Wolfram Research
Wolfram Math World: Natural Logarithm
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...
![Pre Calculus Notes: (More) Properties of Logs [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pre Calculus Notes: (More) Properties of Logs [Pdf] Unknown Type")
Math Notes and Math Tests
Pre Calculus Notes: (More) Properties of Logs [Pdf]
The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...