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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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Lesson Plan
Mathalicious

XBOX Xpotential

For Teachers 9th - 12th Standards
Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential. The...
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Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
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Lesson Plan
EngageNY

The Power of Exponential Growth

For Students 9th - 10th Standards
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...
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Lesson Plan
Ahisma Summer Institute

The Power of One - Math in a Different Angle

For Teachers 5th - 7th Standards
In this 2-day instructional activity focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess...
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Worksheet
2
2
Flipped Math

Unit 7 Review: Exponential Functions

For Students 9th - 12th Standards
Take a break from learning new information and take time to review. Scholars review the unit by completing some practice problems. They rewrite expressions using exponents, solve exponential equations, graph exponential functions,...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC - Unit 7 Review: Differential Equations

For Students 10th - 12th
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
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AP Test Prep16:31
1
1
Flipped Math

Calculus AB/BC - Exponential Models with Differential Equations

For Students 10th - 12th
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
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Instructional Video16:36
2
2
Flipped Math

Linear vs. Exponential

For Students 9th - 10th Standards
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
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Instructional Video20:30
2
2
Flipped Math

Exponential Decay

For Students 9th - 10th Standards
The values keep getting smaller—quickly! Pupils watch a video that contrasts exponential decay with exponential growth from the first lesson in the unit. Learners identify exponential functions that are decaying and create graphs of...
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Instructional Video22:34
2
2
Flipped Math

Exponential Growth

For Students 9th - 10th Standards
They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...
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Lesson Plan
Mathalicious

Pandemic

For Teachers 9th - 12th Standards
Young scientists use exponential growth and logarithms to model how a virus spreads through a population. Pupils watch a news clip about the 2012 outbreak of Ebola. Scholars then manipulate inactive graphs to see how various factors...
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Performance
Radford University

Population Project

For Teachers 9th - 12th Standards
How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...
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Unit Plan
Radford University

Are You Faster than Bacteria?

For Teachers 9th - 12th Standards
Just how fast does bacteria grow? Over the course of three lessons, pupils investigate exponential growth with the use of bacteria growth. During the lesson, bacteria from a cell phone is grown to make a connection to real life. Using...
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Unit Plan
Radford University

Feeding the World

For Teachers 9th - 12th Standards
Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...
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Unit Plan
Radford University

Transformational Graphing in the Real World: Bacteria – Growth or Decay?

For Teachers 9th - 12th Standards
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
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eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Worksheet
Concord Consortium

Rule of 72

For Students 9th - 12th Standards
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...
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Assessment
Concord Consortium

Rising Prices

For Students 9th - 12th Standards
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
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Lesson Plan
College Board

Strategies for Teaching AP Computer Science

For Students 10th - 12th
Implement strategies from the beginning to the end. A collection of strategies and lessons span from the first day of school to after the exam. Resources cover basic information such as computer ethics and top 10 tips to a lesson on how...
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Lesson Plan
Serendip

Understanding and Predicting Changes in Population Size – Exponential and Logistic Population Growth Models vs. Complex Reality

For Teachers 9th - 12th Standards
Salmonella poisoning impacts over 200,000 people in the United States each year. Scholars learn about the growth of these bacteria using multiple approaches. Then they apply the same growth calculations to endangered species and think...
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Assessment
Concord Consortium

Cultural Growth

For Students 11th - 12th Standards
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
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Activity
101 Questions

Lunch

For Students 9th - 12th Standards
Traditional lamian, a noodle originating from China, is hand shaped by twisting, stretching, and folding the dough into strands. Scholars observe the technique before determining the length of the final noodle. They use exponential...