Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
West Contra Costa Unified School District
Solving Exponential Equations
The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive instructional activity has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear, exponential...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions based...
Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
Curated OER
Twenty-One Domain and Range Problems
In this domain and range worksheet, learners identify the domain and/or range for twenty-one free-response and multiple choice problems. The functions include trigonometric functions. The solutions are provided.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Curated OER
A Penny Saved is a Penny Earned
Learners explore the concept of exponential growth. In this exponential growth instructional activity, students manipulate power models with base 2. Learners discuss what would happen if you doubled a penny over the course of 20 days. ...
Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra instructional activity, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Curated OER
Rising Gas Prices – Compounding and Inflation
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...
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...
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...
Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Curated OER
Illegal Fish
Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and others...
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Curated OER
Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics lesson plan, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Curated OER
Basketball Bounces, Assessment Variation 2
This un-scaffold summative assessment tasks learners to use the height of a bouncing basketball, given the data in graph and table form, to choose the model that is represented. Learners then use the model to answer questions about the...
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...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.