Curated OER
An Introduction to the Natural Logarithm (ln)
Students explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.
Curated OER
Graphs of Logarithmic and Exponential Functions
Young scholars watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Young...
Curated OER
Exponential Equations and Functions
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions. Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...
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...
Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
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...
EngageNY
End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Curated OER
Algebra II Review: Exponential Functions and Logarithms
In this Algebra II review: exponential functions and logarithms learning exercise, students solve 19 problems, including making graphs, simplifying and evaluating.
Curated OER
Functions and Logarithms - Week 4
In this function and logarithm activity, students solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page activity contains eight...
Curated OER
Functions and Logarithms
In this function and logarithm worksheet, students use functions and logarithms to find the sum of digits in a given series. They determine the value of an expression and find the distance between the points of intersection. This...
Curated OER
Logarithms
In this logarithm worksheet, students read given statements about logarithms and determine if the statement is true or false. This one-page worksheet contains approximately 35 problems.
Curated OER
Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
In this logarithms learning exercise, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page learning...
Curated OER
Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
The UP's and Down's of Exponents
Pupils explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Curated OER
How Much Data is That?
Middle schoolers differentiate between exponential and logarithmic functions. In this algebra lesson, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
Curated OER
Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
NASA
Newton’s Cool in the Pool
Pupils work together to investigate the cooling of NASA’s Neutral Buoyancy Laboratory. Using data collected as the pool cooled, groups determine the values needed in Newton's Law of Cooling equation to model the situation. They...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Curated OER
Logarithmic Transformations of Data
Students investigate and study logarithmic equations. In this precalculus lesson, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
Curated OER
Parent Functions Reference
In this functions worksheet, students explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.