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 activity. Moving...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Curated OER
Logistic Growth
Through the exploration of population growth of a bacteria population, young scholars learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
CK-12 Foundation
Limiting Factors to Population Growth: Graphing Population Growth
If any of the limiting factors in an environment change, both animal and plant populations also change. The video explains two different models of growth and the impact of limiting factors. It highlights the carrying capacity of an...
Illustrative Mathematics
Identifying Graphs of Functions
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each function with...
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...
Curated OER
The World Population: Logistic Model
Students explore the various uses of the logistic function. Students use the internet to collect world population data and find a logistic model for their data and use their chosen model to predict future populations.
Texas Instruments
Logistic Growth, Differential Equations, Slope Fields
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
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
World Population Activity II: Excel
Learners import UNEP World population data/projections from either the World Population Prospects: The 2002 Revision Population Database - UN Population Division or a text file. They graph this data by itself, and then along with...
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
Population Patterns
Students study patterns of population growth in an ecosystem and why populations must remain in balance. They interpret basic population graphs and suggest scenarios about different population growth patterns in an ecosystem.
Curated OER
Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Curated OER
The Dynamics of Populations
Tenth graders analyze the growth rate of different population. For this biology experiment, 10th graders identify the biotic and abiotic factors that limit population size. They create a poster to show their findings in class.
Curated OER
Risky Business
Students view a video on AIDS, HIV and the ways in which HIV is spread. They discuss ways to avoid contracting HIV and participate in a simulation that shows the growth of a communicable disease.