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Interactive
CK-12 Foundation

Logistic Functions: Fab Fitness

For Students 11th - Higher Ed
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
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Activity
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Illustrative Mathematics

Identifying Graphs of Functions

For Teachers 8th - 12th Standards
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...
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Lesson Plan
Kenan Fellows

Attack of the Aphids!

For Teachers 10th - Higher Ed Standards
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...
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Lesson Plan
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Illustrative Mathematics

Logistic Growth Model, Abstract Version

For Teachers 9th - 12th Standards
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...
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Lesson Plan
Curated OER

Math TODAY - Breast Cancer Risks

For Teachers 9th - 12th Standards
Learners explore data that be modeled by a logistic function. They have the opportunity to study real-life data and create a mathematical function to model the data and make a prediction.
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Lesson Plan
Curated OER

The World Population: Logistic Model

For Teachers 10th - 12th
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.
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Activity
Curated OER

Logistic Growth Model, Explicit Version

For Teachers 9th - 12th Standards
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...
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Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
In this graphing functions worksheet, high schoolers 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...
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Lesson Plan
Curated OER

Logistic Growth

For Teachers 9th - 12th Standards
Through the exploration of population growth of a bacteria population, students learn about and observe bacteria population over a 20 hour period.  Students graph the population growth using a scatter plot and discuss its logistic...
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Lesson Plan
Howard Hughes Medical Institute

Population Dynamics

For Teachers 10th - 12th Standards
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
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Assessment
Illustrative Mathematics

Modeling London's Population

For Students 9th - 12th Standards
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...
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Worksheet
Curated OER

Population Models and Qualitative Analysis, Part 2

For Students Higher Ed
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...
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Lesson Plan
Curated OER

Population: Logistically Speaking

For Teachers Higher Ed
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...
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Lesson Plan
Curated OER

biology - 9th Grade

For Teachers 9th
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...
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Worksheet
Curated OER

Stability of Equilibrium Values

For Students Higher Ed
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
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Lesson Plan
Curated OER

Al Qaeda's New Front

For Teachers 9th - 12th
Young scholars view a documentary, read articles, discuss and write about Europe's struggle with strained U.S. relations, increased terrorist activity, a growing Muslim population and the logistics of uniting under the European Community.
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Lesson Plan
Curated OER

Math Today - World Population Milestones

For Teachers 9th - 12th Standards
Pupils use the data from USA TODAY Snapshot "World population milestones" to explore and explain the trends in the world population.
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Lesson Plan
Curated OER

India: Outsourcing of Jobs

For Teachers 10th - 12th
Students examine the significance and effects of outsourcing jobs to India and Malaysia. They conduct Internet research, create a map and a timeline, write an editorial of their view on the use of outsourcing, and participate in a class...
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Lesson Plan
Curated OER

Risky Business

For Teachers 9th - 12th
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.
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Lesson Plan
Curated OER

The Spread of Disease with Differential Equations

For Teachers 12th
Twelfth graders solve problems using differential equations.  In this Calculus lesson plan, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and analyze...
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Lesson Plan
Curated OER

Micronutrient Need Intervention

For Teachers 9th - 12th
Students investigate the real world applications of nutrition. They study the problem of starvation and how it affects different populations. Students work in small groups in order to devise and intervention plan. They also search out...
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Lesson Plan
Curated OER

Weathervanes in the Wind

For Teachers Pre-K - 3rd
Students investigate wind and weather by creating a weathervane.  In this environment lesson, students identify the purpose of a weathervane and observe weathervanes in action on their campus.  Students create a weathervane and decorate...
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Lesson Plan
Curated OER

Long-Term Goals

For Teachers 6th - 8th
Learners identify long and short term goals. In this perseverance lesson plan, students discuss the difference between short term and long term goals. Learners categorize their personal goals as short or long term. Students read a quote...