Activity
Texas Instruments

Texas Instruments: What Is the Number "E"?

For Teachers 9th - 10th Standards
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.9 the Transcendental Number E and Natural Log

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

Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College

For Teachers 9th - 10th
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
Graphic
Richland Community College

Richland Community College: Exponential Models

For Students 9th - 10th Standards
This site from Richland Community College contains specific examples of where logarithmic and exponential formulas are used, including: exponential growth and decay, Gaussian, logistics growth, and logarithmic.
Activity
University of Illinois

University of Illinois Urbana Champaign: Chickscope Egg Math: Embryo Calculus

For Students 9th - 10th Standards
This interesting and interactive site offers information and activities on exponential functions, tangents and slopes, and "The number e."
Activity
Texas Instruments

Texas Instruments: That's Interesting!

For Teachers 9th - 10th
In this activity, students compare simple and compound interest in graph form. By doing this students will gain insight into interest and interest formulas, exponential and linear growth, and real world investment strategies.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Choosing an Appropriate Growth Model

For Teachers 9th - 10th Standards
The goal of this task is to examine some population data for large cities from a modeling perspective. Learners are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...
Activity
Texas Instruments

Texas Instruments: The World Population: Linear and Exponential Models

For Teachers 9th - 10th
The population of the world has grown rapidly over the last century. In this activity, several models for the growth of the world's population will be developed. The validity of each in predicting past, current, and future populations...
Interactive
Palomar Community College District

Palomar College: Principles of Population Growth

For Students 9th - 10th
An excellent interactive review from Palomar College of population growth and how it can be described. Try out the interactive calculators of population size.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Population Growth, Ecological Footprints, and Overshoot

For Teachers 9th - 10th
In this three-part activity, students apply linear, exponential, and rational functions to explore past and projected U.S. population growth, carbon footprint trend, ecological overshoot, and effectiveness of hypothetical carbon dioxide...
eBook
CK-12 Foundation

Ck 12: Life Science: 12.6 Human Population

For Students 5th - 9th
Understand stages of human population growth.
Unit Plan
Concord Consortium

Concord Consortium: Population Curve: Significance of Breakpoints

For Students 9th - 10th
Learn about three models of population growth: linear, exponential, and logistic. Then conduct a population experiment to see how populations can work in the real world, and see how linear graphs can help simplify complicated ones.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le.4 Graphene

For Teachers 9th - 10th
This task provides a real-world context for examining the power of exponential growth and decay. Students experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
Activity
Interactive Mathematics

Interactive Mathematics: Exponential & Logarithmic Equations

For Students 9th - 10th Standards
Several examples on solving exponential and logarithmic equations are presented here. Practice problems and a real-world application involving bacteria growth are included.
Lesson Plan
Nature Conservancy

The Nature Conservancy: Population Management

For Teachers 6th - 8th
In this lesson plan, students learn about the necessity of managing the herd size and grazing rights of the cattle in East Africa. [6.01]
Graphic
Rice University

A Mathematics Fantasy the Million $ Mission

For Students 9th - 10th
An example of exponential growth dealing with the national debt.
Activity
Texas Instruments

Texas Instruments: The Calcumites Are Coming! Ti 83

For Teachers 9th - 10th
Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Bacteria Populations

For Teachers 9th - 10th Standards
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...
Lesson Plan
PBS

Wnet: Thirteen: Ed Online: Growing, Growing, Graphing!

For Teachers 9th - 10th Standards
Students explore the growth population of China and use graphs and equations to display data.
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Estudio Del Crecimiento De Una Funcion

For Students 9th - 10th Standards
Learn with these interactive exercises the concepts of growth and decay of a function and analyze the concepts with elementary functions.
Activity
Texas Instruments

Texas Instruments: Invasion of the Multipliers

For Teachers 9th - 10th
In this activity you will model the population growth of these new "multipliers" on our planet.
Whiteboard
ClassFlow

Class Flow: Polynomials Review for Test

For Teachers 9th - 10th
[Free Registration/Login Required] This flipchart can be used to review multiplication/division of monomials, scientific notation, and exponential growth and decay. It uses the Activote.
Activity
Math2

Compound Interest and Exponential Growth

For Students 9th - 10th
This site provides the compound interest equation, simplified compound interest equation,continuous compound interest equation, a demonstration of various compounding, and a review of loan balance.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if a Sse Modeling London's Population

For Teachers 9th - 10th Standards
In this task, students are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...

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