CK-12 Foundation
Ck 12: Population Growth Patterns
[Free Registration/Login may be required to access all resource tools.] Students will identify the definition of carrying capacity and analyze other types of growth patterns of a population and relate these to the population dynamics of...
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Exponential Modeling
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Rumors
In this task, students investigate the exponential growth of a rumor about a celebrity. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Illegal Fish
In this task, students learn about exponential functions when they investigate the exponential growth of an invasive fish population. Aligns with F-LE.B.5 and F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
Illustrative Mathematics
Illustrative Mathematics: F Bf Lake Algae
In this task, students analyze the amount of algae growing on the surface of a lake. The purpose of the task is to introduce students to exponential growth. Instead of giving a starting value and asking for subsequent values, it gives an...
Concord Consortium
Concord Consortium: Exponential Growth
Students learn about exponential growth in real-world situations.
Khan Academy
Khan Academy: Graphing Exponential Growth & Decay
Graph exponential functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities grow linearly or exponentially. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Khan Academy
Khan Academy: Interpret Change in Exponential Models
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Algebra Ii: Construct Exponential Models
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to analyze and graph exponential growth functions.
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to use exponential functions in real-life situations. Students watch a video tutorial, explore guided notes and attempt practice problems.
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students devise a problem-solving strategy to solve real-world problems involving exponential functions. Students watch a video tutorial, explore...
CK-12 Foundation
Ck 12: Biology: Population Growth Patterns
[Free Registration/Login may be required to access all resource tools.] Covers different patterns of population growth.
CK-12 Foundation
Ck 12: Algebra Ii: 3.9 the Transcendental Number E and Natural Log
This section introduces the transcendental number e which is a special number that is considered a natural base. In addition to exploring how to simplify and solve equations with e, this section also investigates how it can be used to...
CK-12 Foundation
Ck 12: Algebra Ii: 3.10 Modeling With Exponential Growth Functions
This lesson explores the process for modeling real world scenarios involving growth by writing and solving exponential growth functions.
CK-12 Foundation
Ck 12: Life Science: 12.6 Human Population
Understand stages of human population growth.
CK-12 Foundation
Ck 12: Life Science: 12.5 Population Growth Limits
Discover how ecosystems respond to population growth limits.