Curated OER
Properties of Logarithms
Learners investigate properties of logarithmic function as they add, subtract and multiply logarithms. They graph and analyze the graph for exponential equivalency.
Curated OER
Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
Curated OER
Precalculus: Unit 3 Test 2
In this Pre-calculus worksheet, students solve advanced logarithmic and exponential equations. The seven page worksheet contains thirty-two problems. Answers are not provided.
Curated OER
Why does Twenty Questions Suffice for Guessing a Number Between One and One Million?
In this probability worksheet, students use logarithms and exponentials to determine why twenty questions suffice for guessing a number between one and million. The solution is provided.
Curated OER
Convert: Logarithm Form to Exponent Form
In this exponential worksheet, students convert whole number logarithmic forms to exponential form and then evaluate the numbers. There are 7 questions.
Curated OER
Snail Invasion
Exponential growth is modeled by learners as they analyze and interpret the data presented in this real-life scenario centered on the destructive invasion of the Giant African Land Snail. Learners get a touch of history and practice...
Curated OER
Differentiation Quiz Form B
In this differentiation worksheet, students differentiate 10 functions in short answer format. Students differentiate trig, logarithmic, cubic, exponential, rational, and higher order functions.
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
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
Natural Logarithms
In this Algebra II worksheet, 11th graders solve equations involving natural logarithms. The two page worksheet contains explanation, worked examples, and four practice problems. Answers are not included.
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
Curated OER
Leap Into Exponential Functions
Young scholars 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.
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...
Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Curated OER
Transforming Univariate Data
Learners analyze plotted data in this statistics lesson. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. For this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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...
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth activity of seven integrating chemistry and algebra. Combining...
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,...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Curated OER
Logarithmic Functions and Their Graphs
In this algebra worksheet, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
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.