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...
Curated OER
Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Curated OER
Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Curated OER
Exponential Functions
In this algebra activity, high schoolers compute 4 functions for a given value. They graph 4 functions, and write equations for two graphs. Each function has an exponent as the variable.
Curated OER
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Curated OER
Exponential Population Growth
In this exponential population growth worksheet, students read word problems and determine the exponential growth of a specified populations. They find the percent of growth and compute exponential regressions. Students graph...
EngageNY
Modeling a Context from a Graph
Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Curated OER
Murder in the First Degree - The Death of Mr. Spud
Secondary learners investigate exponential functions in a real-world scenario. They collect data on the temperature of a cooling baked potato, enter the data into lists, and graph the data using a scatter plot before finding an...
Curated OER
Exponential and Logarithmic Graphs
In this algebra activity, students identify the different properties of logarithmic and exponential graphs. They label each graph as having exponential growth or decay. There are 4 matching questions.
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
CK-12 Foundation
Limiting Factors to Population Growth: Graphing Population Growth
If any of the limiting factors in an environment change, both animal and plant populations also change. The video explains two different models of growth and the impact of limiting factors. It highlights the carrying capacity of an...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations instructional activity, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this activity by applying graphing knowledge to create a unique piece of art. This activity varies acording to the graphing knowledge of the artist. First, learners identify and review various types of...
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Curated OER
Exponential Functions
In this algebra worksheet, learners evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.
Curated OER
Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
Curated OER
Scientific Notation III: Linear vs Exponential
Students after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
Curated OER
Exponential Decay
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...
Curated OER
Exponential Functions
In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
Curated OER
Sudoku Puzzle: Logs and Exponentials
In this logarithms and exponential instructional activity, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.
Curated OER
Linear and Exponential Models
High schoolers investigate the differences between linear and exponential models. In this linear and exponential models activity, students make a table of given data. High schoolers determine if the data is linear or...
Curated OER
Application of Graph Theory
Students investigate different online tutorials as they study graphing. In this graphing activity, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.