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Interactive
CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...
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Lesson Plan
Curated OER

In the Billions and Exponential Modeling

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

Illegal Fish

For Teachers 9th - 12th Standards
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le in the Billions and Exponential Modeling

For Teachers 9th - 10th Standards
For this task, learners 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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2

For Teachers 9th - 10th Standards
In this task on exponential decay, students calculate what the amount of Carbon 14 left in a preserved plant will be as time passes and when one microgram will be all that is left. Aligns with F-LE.A.1.c.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Linear or Exponential?

For Teachers 9th - 10th Standards
In this task, learners are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Illegal Fish

For Teachers 9th - 10th Standards
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Us Population 1790 1860

For Teachers 9th - 10th Standards
For this task, students are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is to...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Exponentials

For Teachers 9th - 10th Standards
In this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
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Unknown Type
Khan Academy

Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time

For Students 9th - 10th Standards
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...
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Unknown Type
Khan Academy

Khan Academy: Algebra I: Exponential vs. Linear Models

For Students 9th - 10th Standards
Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data

For Students 9th - 10th Standards
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...
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Unknown Type
Khan Academy

Khan Academy: Average Rate of Change: Graphs and Tables

For Students 9th - 10th Standards
Find a function's average rate of change over a specific interval, given the function's graph or a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Average Rate of Change Word Problems

For Students 9th - 10th Standards
Find and represent the average rate of change of a real-world relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Average Rate of Change

For Students 9th - 10th Standards
Find the average rate of change of a function over a given interval. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.