Curated OER
Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Curated OER
A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
Curated OER
Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
Graph Logarithms
Mathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
Curated OER
Logarithmic Transformations
Using the TI calculator to visualize and make predictions, high schoolers perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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
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
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.
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
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
Applications of Exponential Functions
In this algebra worksheet, students solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.
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
Review For Test: Logarithm And Exponential Functions
Pupils investigate different concepts during a review that relate to logarithms and exponential functions. They review the derivatives of logs and exponential functions with the help of the problems used in the instructional activity as...
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.
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
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...
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...
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.
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...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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.