Curated OER
Domain and Range of Exponential Functions
Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.
Curated OER
Chapter 8 Review: Exponential Growth
In this exponential growth worksheet, students find the exponential growth and exponential decay of given situations. They simplify problems with exponents and evaluate logarithms. This four-page worksheet contains 23 multi-step problems.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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...
Curated OER
A Saturating Exponential
Your learners analyze the familiar model of a cold beverage warming when it is taken out of the refrigerator. The general form of the equation and its graph are presented. Learners learn about the specific pieces of the function by...
EngageNY
Modeling an Invasive Species Population
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications.
Concord Consortium
Losing Track
Don't lose the chance to use the task. Given three diagrams of curved pieces of wires, young mathematicians must explain whether it's possible to conclusively match the wires as representing cubic, exponential, or quadratic functions....
Curated OER
biology - 9th Grade
The clear cartoon style slides in this presentation contain details that affect population growth. Natural disasters and other external factors are listed as density independent factors, and density dependent factors, such as competition...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Curated OER
Forms of Exponential Expressions
Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus high schoolers find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
Curated OER
Differentiating Special Functions
For this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the...
Curated OER
Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
Curated OER
Exponential Decay Functions
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...
Curated OER
Four Limits of Trigonometric and Exponential Functions
In this limit worksheet, students evaluate the limit of four functions including trigonometric, arc trig., and exponential functions.
Curated OER
Exponential and Logarithmic Equations
In this Algebra II/Pre-calculus worksheet, students solve logarithmic and exponential equations in problem solving situations. The three page worksheet contains eleven problems. Answers are not provided.
Curated OER
Taylor Series: Natural Number
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
Curated OER
Graphing Functions
In this graphing functions worksheet, students write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet...
Curated OER
Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus instructional activity, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 3)
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 5)
This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions.