BW Walch
Creating and Graphing Exponential Equations
Frequently found in biology and economic application problems, exponential equations show up as stars in this introductory presentation. Taking no background or knowledge of exponentials for granted, the slides walk learners through the...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based lesson helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson is the first in...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Exponential Functions and the Natural Logarithm
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.
Curated OER
Twelve Facts About e
For this e worksheet, students are presented with several facts about e and Euler. Students are also given a technique to help them remember the numerical approximation for e.
Curated OER
NUMB3RS Activity: Chains and Pyramids
Watch an episode of the TV show, NUMB3RS and then explore the mathematics of chain letters and pyramid schemes, both of which involve geometric progressions and exponential growth. They discuss why both are dangerous and illegal.
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Curated OER
Derivatives of Exponential Functions
Young scholars take derivatives of exponential functions. In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function. Young scholars find derivatives...
Curated OER
Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
EngageNY
The Graph of the Natural Logarithm Function
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...
Macquarie University
Logarithms and Exponentials
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while practicing...
Curated OER
Taylor Series: Natural Number
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
Teach Engineering
Common and Natural Logarithms and Solving Equations
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...
EngageNY
Solving Logarithmic Equations
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
Curated OER
Arithmetic and Exponents - Week 1
In this exponent worksheet, pupils add numbers written in exponential notation. They identify the base and the exponent. This two-page worksheet contains examples, definitions, and nine problems to solve.
Curated OER
US Population 1790-1860
Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.
Shoreline Community College
Properties of Logarithmic Functions
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its connection to...
Geography 360°
Exponents
Don't let the rules overrule the lesson. Mental math steps in and helps learners understand exponent patterns. The material focuses on the introductory problems of exponents, such as simplifying expressions. Teacher guides are...
Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Curated OER
Scientific Notation
In this algebra worksheet, 9th graders rewrite exponential numbers using scientific notation and condense the equations and expand using the standard form. There are 6 word problems applying the use of scientific notations.
Curated OER
What "Ohm's" You?
Students use the CBL and voltage probe to observe electricity. In this algebra lesson plan, students use the TI calculator with the CBL to explore Ohm's Law. They discuss exponential equations and how it relates to Ohm's Law.