University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
Curated OER
Logarithmic Differentiation
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive worksheet contains eleven problems. Answers are included.
EngageNY
Changing the Base
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,...
Teach Engineering
Linear Regression of BMD Scanners
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...
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Exponential and Logarithmic Equations
For this algebra worksheet, 11th graders solve exponential and logarithmic functions using properties of exponents and logs. There are 56 questions with an answer key.
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson plan, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Del Mar College
The Laws of Logs
Two students were sitting on a log and decided they wanted to be awesome at math. Bring in the logarithm handout! The first page introduces the idea of a logarithm and the different operations and rules it entails. The second page...
Curated OER
Carbon 14 Dating
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.
Flipped Math
Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
Curated OER
Logarithmic Functions and Their Graphs
In this algebra activity, learners evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
Curated OER
Algebra Skills Sections 23
In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
NASA
Discovering the Milky Way
What do you call a tiny collection of galaxies? A puny-verse! Young scholars graph data gathered by scientists studying Cepheids. They attempt to identify a relationship between the variables through standard and logarithmical graphing....
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Curated OER
Fertilizers, Pesticides and Health
Pupils apply real data to create and calculate algebraic equations. Students create a visual to represent the concentration for one part per million and apply unit analysis to verify measurement computations. Pupils define the use of a...
Curated OER
Graphing Functions
In this graphing functions worksheet, students write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet contains 20...
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Curated OER
Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Students examine the results to determine that the inverse is the natural log...
Curated OER
Exponents, Logs and Equations
For this algebra worksheet, students solve logarithmic equations using the 3 properties of logs. They calculate the exponential functions. There are 27 questions.
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Curated OER
New Functions From Old, Part 1
In this function learning exercise, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page learning...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...