EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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...
Curated OER
In the Billions and Linear Modeling
Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task.
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the instructional activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in...
EngageNY
Exponential Growth—U.S. Population and World Population
Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...
Curated OER
NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Students use technology to compare a linear function with a constant rate of growth to a function that grows exponentially...
Curated OER
Comparing Linear and Exponential Functions
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Curated OER
Exponential Growth
Students study exponential functions. In this exponential growth lesson plan, students conduct a simulation in which a population grows at random but predictable rate. Students compare and contrast linear and exponential functions....
Curated OER
Is there Treasure in Trash?
More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...
Curated OER
Equal Factors Over Equal Intervals
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Curated OER
Scientific Notation III: Linear vs Exponential
Students examine the differences in exponential growth and linear growth of a system. They interpret data on graphs and develop their own charts. They answer discussion questions as well.
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
Population Biology Case Study
Students are focused on the big question: What makes a population grow and how could that growth stop? They use these concepts to help answer the big question: carry capacity, density dependent v. density, independent factors, predation...
Curated OER
Modeling Population Growth
Students collect data on population growth. In this statistics lesson, students graph their data and make predictions. They find the linear regression and the best fit line.
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
Curated OER
Scientific Notation III: Linear vs Exponential
Students after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
Curated OER
Exploding Numbers
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.
National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Curated OER
Filling Empty Pockets: Borrowing, Loans, and Credit
Students examine credit components and how each works within our economy today. In 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
US Population 1790-1860
Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.
Curated OER
Correlation and Regression
In this statistics workshop students find the value of linear correlation coefficients in three situations. Students find equations of the regression lines for 4 problems.
Curated OER
Putting Your Money to Work
Learners create a collect data on expenses. In this algebra lesson, students create a spreadsheet to solve scientific equations. They incorporate math, science and technology in this lesson.
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...