PBS
Population Simulation with M&M's
Math and M&Ms® go great together when introducing a modeling activity. Allow your learners to simulate population growth and decay of fish in a pond and share their reasoning for the change in fish. With such an impact we have on our...
Curated OER
Human Population- Changes in Survival Rates Data Interpretation
In this human population changes in survival worksheet, students interpret and plot data to understand the differences in human mortality and survivorship between historic and modern times. They investigate how these changes influence...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
Curated OER
Population and Food Supply
What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential...
Firelands Local Schools
Exponential Growth and Decay
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator...
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
In the Billions and Exponential Modeling
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model instructional activity, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions...
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
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...
Curated OER
Exponential Growth and Decay
For 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
Linear and Exponential Growth
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.
Curated OER
Exponential Growth and Decay
In this algebra worksheet, students solve word problems. They identify the graph as exponential growth or decay. There are 7 questions with an answer key.
Shodor Education Foundation
Life
How does life evolve? The interactive provides a simulation based on the Game of Life invented by mathematician John Conway. Users can run the applet with the preset rules and settings or adjust them to view whether overpopulation or...
Curated OER
Discovering Growth Patterns
In this statistics worksheet, students examine data on a variety of subjects related to growth patterns and apply the data to 4 different graphs.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
BW Walch
Creating and Graphing Exponential Equations
Frequently found in biology and economic application problems, exponential equations show up as stars in this introductory presentation. Taking no background or knowledge of exponentials for granted, the slides walk learners...
BW Walch
Solving Exponential Equations
Introducing exponential equations means learners need to take all the rules and tricks they learned for exponents and actually apply them. This presentation comes to the rescue by touching on changing bases in exponential...
Curated OER
Integrated Algebra/Math B Regents Questions: Exponential Equations
In this exponential equations learning exercise, students solve 11 word problems in short answer and multiple choice format. Students write and solve exponential growth and decay problems given a word problem.
Curated OER
Population Models and Qualitative Analysis
In this quantitative analysis worksheet, students explore the limits of a rate equation. They use quantitative analysis methods to determine the differential, plot graphs of their values, and describe the relationships between the...
Curated OER
Exponential Models
Learners fit a continuous change exponential model to U.S. population data and use the model to predict future population.
Curated OER
Lesson 25 - Applications of Logarithmic Functions
in this applications of logarithmic functions instructional activity, students solve 11 short answer problems. Students use logarithms to find half lives, compound interest, and population growth given a word problem.
Curated OER
Illegal Fish
Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.