Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
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 instructional activity helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, learners solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
EngageNY
Exponential Notation
Exponentially increase your pupils' understanding of exponents with an activity that asks them to explore the meaning of exponential notation. Scholars learn how to use exponential notation and understand its necessity. They use negative...
Utah Education Network (UEN)
Simplifying Exponential Expressions
This exponential expression resource has each of the class members determine the value of given exponential expressions. They use their calculator to find the values and identify patterns. Besides writing the numbers exponentially, they...
Curated OER
Squares, Square Roots, and Exponential Expressions
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
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
In this e instructional activity, learners 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.
Curated OER
Exponential Models
Pupils fit a continuous change exponential model to U.S. population data and use the model to predict future population.
Curated OER
Exponents
In this exponents worksheet, 8th graders solve 16 various types of problems from writing patterns in exponential form to word problems that determine how much greater mass is and how much money was received. They simplify and rewrite...
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.
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
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
Homework 7: Hares and Foxes (Based on a problem in Cic)
In this system of equations learning exercise, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page learning exercise contains three...
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, learners apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
Curated OER
Representing Numbers Using Scientific Notation
Learners explore the concept of scientific notation. In this scientific notation lesson, mathematicians discuss how multiplying by a power of 10 affects the decimal. They play Powers of 10 Yahtzee. Students roll a die five times and each...
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...