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Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Curated OER
Modeling: Having Kittens
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The lesson focuses on developing strategies for problem solving using both individual and group work....
Teach Engineering
Common and Natural Logarithms and Solving Equations
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Curated OER
World Population Study
Students explore an exponential relationship and how it relates to human population growth and the current global population crisis. They graph both exponential and linear information.
Curated OER
WORLD POPULATION STUDY
Students explore an exponential relationship and how it relates to human population growth and the current global population crisis.
Curated OER
An Introduction to Functions
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.
Curated OER
How Much Data is That?
Students differentiate between exponential and logarithmic functions. In this algebra lesson, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
Curated OER
How popular is your favorite site?
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
Curated OER
Picture Patterns
In this math instructional activity, students examine the picture patterns while taking note how they are growing. The concept of exponential growth is emphasized.
Curated OER
Exponential Functions: Half Life and Doubling Time
Students 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 produced when...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Mathematics Assessment Project
College and Career Readiness Mathematics Test A2
A six-page evaluation covers material included in algebra, geometry, and algebra II. Applied word problems are mixed in with short answer questions. It also provides questions on mathematical reasoning.
Curated OER
Means of Growth
Students collect and graph data. In this statistics lesson, students analyze their plotted data using a scatter plot. They identify lines as having positive, negative or no correlation.
Curated OER
Simplifying Expressions
In this simplifying expressions worksheet, students solve and complete 41 various types of problems. First, they simplify each expression and write using exponents. Then, students graph each function and state the domain and range. They...
Curated OER
Populations Lab - Exponential Graphing
Ninth graders investigate the application of populations that exists in one's everyday environment, in order to develop an understanding of how mathematics is a key component in the understanding of population dynamics.
Curated OER
Graphing Functions
In this graphing functions worksheet, students write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet contains 20...
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
Curated OER
Multiplication and Exponents
Students write values as both standard and exponential forms. In this exponential form lesson plan, students solve multiplication of exponents problems. Both application and drill and practice formats are presented.
Curated OER
Spreading Doom
Students explore the pattern created by a sequence or series. In this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
Curated OER
Filling Empty Pockets: Borrowing, Loans, and Credit
Students examine credit components and how each works within our economy today. For this financial literacy lesson, students explore credit terms and make decisions based on real credit card offers that they find in their on line research.
Curated OER
Save Your Change
Students solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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