Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Illustrative Mathematics
Exponentials and Logarithms II
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals 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
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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 instructional activity, 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 worksheet, students evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.
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.
Mt. San Antonio Collage
Test 2: Rationals, Exponentials, and Logarithms
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range.
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
SHS Algebra
Linear vs. Exponential Functions Tasks
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
Curated OER
Exponential Functions
In this exponential functions activity, 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
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Curated OER
Exponential Graph Functions
In this exponential functions worksheet, high schoolers solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for...
University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Radford University
Transformational Graphing in the Real World: Bacteria – Growth or Decay?
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
CK-12 Foundation
Exponential Decay: Cool Sunglasses
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
University of North Texas
Library of Functions
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions.
Howard County Schools
Drawing Inverses
An Algebra II lesson draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a launch,...