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Activity
Illustrative Mathematics

Lake Algae

For Teachers 8th - 12th Standards
Introduce learners to exponential growth with this real-world problem about algae that is rapidly spreading across a lake in a city park. The task presents the rate of growth and an end value and asks learners to determine what happened...
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Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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Lesson Plan
Curated OER

Exponential Models

For Teachers 10th - 12th
Students fit a continuous change exponential model to U.S. population data and use the model to predict future population.
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Lesson Plan
Curated OER

A.P. Exam Review

For Teachers 9th - 12th
Learners engage in a lesson that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of the differential...
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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
Curated OER

Algae Blooms

For Teachers 9th - 12th Standards
Your microbiologists explore a changing algae population and build an exponential function modeling algae concentration from the description given of the relationship between concentrations in cells/ml and days of rapid growth.
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Lesson Plan
Curated OER

Double Your Money

For Teachers 2nd - 3rd
What a creative way to delve into adding large numbers! After listening to a story called The King's Chessboard, learners estimate how much money they would have each day following instructions based on doubling and exponentially...
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Lesson Plan
Curated OER

Population Biology Case Study

For Teachers 9th - 12th
Students are focused on the big question: What makes a population grow and how could that growth stop? They use these concepts to help answer the big question: carry capacity, density dependent v. density, independent factors, predation...
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Lesson Plan
Curated OER

Population Growth

For Teachers 9th - 12th
Students grow duckweed, observe what happens when an organism population is allowed to grow without predation or competition, view videos about invasive species, and develop a proposal for controlling the growth of an invasive species in...
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Lesson Plan
Texas Instruments

Buying Your First New Car!

For Teachers 11th - 12th Standards
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson. They investigate the cost of a new car by calculating depreciation and payments.
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Lesson Plan
Curated OER

Bacteria and Illness

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

Transforming Univariate Data

For Teachers 9th - 12th Standards
Learners analyze plotted data in this statistics lesson plan. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
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Lesson Plan
Curated OER

Measuring Exponential Growth

For Teachers 6th - 8th
Young scholars reinforce math skills while learning about best practices for protection of water quality in the management of animal feeding operations. They make a table to show results of their calculations and compare and justify...
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Lesson Plan
Howard County Schools

Getting Paid for School

For Teachers 9th - 11th Standards
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
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Lesson Plan
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Curated OER

Bacteria Populations

For Teachers 9th - 12th Standards
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. 
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Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
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Lesson Plan
Curated OER

Logarithmic Functions

For Teachers 9th - 12th
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
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Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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Worksheet
Mathematics Assessment Project

Multiplying Cells

For Students 8th - 10th Standards
Powers of two: it's a matter of doubling. A short summative assessment task asks pupils to determine a process to calculate the number of cells at given time intervals. They use powers of two in order to calculate the number of cells and...
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Lesson Plan
Curated OER

Fabulous Fractals

For Teachers 5th - 8th
Students view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
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Lesson Plan
Curated OER

Exponential and Exponents Functions

For Teachers 9th - 11th
Students solve problems using exponential properties. In this algebra lesson, students differentiate between exponents, exponential and log functions. They graph their functions using table and exponents.
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Lesson Plan
Curated OER

Population Growth and Urban Planning

For Teachers 9th - 12th
Students discuss the following terms and their definitions: zero population growth, population density, demographics, urban sprawl, census, immigration, migration, infrastructure, population booms, megacities, birthrate, death rate,...
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Lesson Plan
Curated OER

Scientific Notation III: Linear vs Exponential

For Teachers 9th - 12th
Young scholars examine the differences in exponential growth and linear growth of a system. They interpret data on graphs and develop their own charts. They answer discussion questions as well.
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Worksheet
Curated OER

Human Population Growth

For Students 7th - 9th
In this human population growth worksheet, students create a graph of human population growth and predict future growth using the data given in a chart. Students identify factors that affect population growth.

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