Lesson Plan
Curated OER

Lesson #45 Graphs of Logarithmic and Exponential Functions

For Teachers 11th - 12th
Pupils investigate exponential and logarithmic functions.  In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x.  Pupils graph the functions and show they are inverses of...
Worksheet
Curated OER

Continuous Probability Distributions

For Students 10th - 12th
In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential...
Worksheet
Curated OER

Exponents and Multiplication

For Students 10th - 11th
In this algebra worksheet, students solve exponential problems suing multiplication. There are 26 questions with an answer key.
Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
In this graphing rational functions activity, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.
Worksheet
Curated OER

Evaluating Functions

For Students 10th - 12th
In this solving functions worksheet, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
Lesson Plan
Curated OER

Algebra II: Exponential Functions

For Teachers 9th - 12th
High schoolers 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.
Worksheet
Curated OER

Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential activity, students identify an entire function and explore how to show a function is analytic. This two-page activity contains four problems, as well as explanations and examples.
Lesson Plan
Curated OER

Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
Lesson Plan
Curated OER

Properties of Logarithmic Functions

For Teachers 8th - 10th
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Lesson Plan
Curated OER

Meaning of Power

For Teachers 9th - 11th
Students graph exponential and power functions. In this statistics lesson, students test a specific hypotheses and draw conclusion. They use the graph of polynomials to test and draw their conclusions.
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
Young scholars analyze data on debt and write an equation. In this statistics lesson, 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...
Lesson Plan
Curated OER

An Introduction to Functions

For Teachers 9th - 11th
Students investigate the growth and decay of an exponential function. In this algebra lesson, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
Worksheet
Curated OER

New Functions From Old, Part 1

For Students Higher Ed
In this function activity, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page activity contains...
PPT
Curated OER

Intersecting Graphs

For Teachers 9th - 10th
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
Lesson Plan
Curated OER

Exponential Functions: Half Life and Doubling Time

For Teachers 9th - 12th
High schoolers investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
Students investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...
Assessment
Mathematics Assessment Project

“Ponzi” Pyramid Schemes

For Students 8th - 9th Standards
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal. 
Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
Lesson Plan
Curated OER

Interesting Interest Rates

For Teachers 9th - 12th Standards
Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...
Worksheet
Curated OER

Exponential Growth and Decay

For Students 9th - 11th
For this algebra worksheet, learners solve word problems. They identify the graph as exponential growth or decay. There are 7 questions with an answer key.
Worksheet
Curated OER

Penny Toss - Exponential Growth and Decay

For Students 9th - 10th
In this penny toss worksheet, students collect statistical data by tossing pennies and then create a scatter plot of the data. They use formulas for exponential growth and decay and then plot the function. This two-page document...
Lesson Plan
Curated OER

Linear and Exponential Growth

For Teachers 8th - 11th
Students explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Students model the data to determine if it is linear or exponential.
Worksheet
Curated OER

Chapter 8 Review: Exponential Growth

For Students 10th - 12th
In this exponential growth activity, students find the exponential growth and exponential decay of given situations. They simplify problems with exponents and evaluate logarithms. This four-page activity contains 23 multi-step problems.

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