Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
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...
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 through the...
Curated OER
biology - 9th Grade
The clear cartoon style slides in this presentation contain details that affect population growth. Natural disasters and other external factors are listed as density independent factors, and density dependent factors, such as competition...
Curated OER
Bacteria Populations
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change.
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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.
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, exponential...
Curated OER
Understanding Human Population Growth
You can help students learn about the causes and consequences of our rapidly growing global population
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...
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
Concord Consortium
Cultural Growth
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
Curated OER
Population Biology
In this population worksheet, students will compare two population growth graphs and complete four short answer questions. Then students will investigate the factors that influence population growth in 8 fill in the blank statements and...
Curated OER
Integrated Algebra Practice: Exponential Growth
In this exponential growth worksheet, students solve 4 short answer and multiple choice problems. Students determine the population of a city after a given amount of time.
Curated OER
Bacteria and Illness
Students research information on bacterium and their relationship to food borne diseases. In this science lesson plan, students complete internet research to construct and analyze the growth cure of common bacterium and food-borne...
Radford University
Transformational Graphing in the Real World: Bacteria – Growth or Decay?
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
Curated OER
Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Curated OER
Scientific Notation III: Linear vs Exponential
Learners after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this activity. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model worksheet, 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 over time....
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.
Curated OER
Integrated Algebra/Math B Regents Questions: Exponential Equations
In this exponential equations worksheet, 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
Exponential Models
Pupils fit a continuous change exponential model to U.S. population data and use the model to predict future population.