Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
Curated OER
Exponential Functions
Students graph exponential equations of the form y=Ma. They understand the effects of M, a, and k on the graph. They solve application problems using exponential functions.
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
EngageNY
Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of graph...
Curated OER
Exponential Functions
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
Wordpress
Introduction to Exponential Functions
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
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...
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
EngageNY
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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 these...
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
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.
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...
EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
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.
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