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
Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
Del Mar College
Exponential and Radical Rules
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems.
Curated OER
Two Points Determine an Exponential Function I
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
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
Doubling Your Money
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Differentiation Quiz
In this differentiation quiz worksheet, learners solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
SHS Algebra
Transformations of Linear and Exponential Graphs
Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.
Curated OER
Viral Marketing
What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...
Curated OER
Exponential Equations
In this algebra worksheet, students solve 30 exponential equations using logs and rules of exponents.
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 Growth and Decay
In this Algebra II worksheet, 11th graders solve verbal problems that involve exponential growth or decay. The two page worksheet contains a combination of seven multiple choice and free response questions. Answers are...
Curated OER
Himalayan Herds: Fractional Exponential Growth
Students solve problems by identifying exponential growth and decay and differentiating between patterns, relation and functions. In this algebra lesson, students apply concepts of exponential growth to solve problems.
Curated OER
Looking at Exponential and Linear Models
In this shopping center worksheet, students use exponential and linear models to complete word problems about a shopping center. Students complete 6 problems.
Curated OER
Properties of Exponential Functions
For this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Curated OER
Graphs involving Exponential Functions
In this algebra worksheet, learners graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.
Howard County Schools
To Babysit or Not to Babysit?
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
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...
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.
Howard County Schools
Generous Aunt
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
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,...
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