Illustrative Mathematics
Exponentials and Logarithms I
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Teach Engineering
Linear Regression of BMD Scanners
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
Curated OER
A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Teach Engineering
Applying Statistics to Nano-Circuit Dimensions in Fabrication
Do flexible circuits change dimensions during fabrication? Groups use GeoGebra software to measure the length of pictures of flexible nano-circuits. To determine if the circuits change dimensions, future engineers use Microsoft...
Illustrative Mathematics
Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Curated OER
Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Carnegie Mellon University
Ocean Acidification
After brainstorming what they know about ocean acidification, youngsters place eggs in acid to determine the effects on calcium-containing organisms, and add carbon dioxide to solutions with sea shell material to discover the impact on...
Curated OER
A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
Teach Engineering
Light Intensity Lab
Let there be light. The last installment of a seven-part series has pupils conduct an experiment on light attenuation through different numbers of transparency sheets. They then relate the results back to how X-rays measure bone density.
Curated OER
Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
Curated OER
Snail Invasion
Exponential growth is modeled by learners as they analyze and interpret the data presented in this real-life scenario centered on the destructive invasion of the Giant African Land Snail. Learners get a touch of history and practice...
National Nanotechnology Infrastructure Network
Size and Scale – Learning about Measurement
Can you visualize one billionth of a meter? It's not easy to understand the scale of a nanometer. Learners use a hands-on lesson to develop an understanding of the size of a nanometer in comparison to common objects. They walk away with...
NASA
Benford's Law
In this Benford's Law learning exercise, high schoolers read about the first digit frequency of numbers. Students solve 3 problems about sunspot numbers, solar wind magnetism and the depth of the latest earthquakes by using on line sites...
Interactive Mathematics
Interactive Mathematics: Exponential and Logarithmic Functions
This is a comprehensive tutorial on Exponential and Logarithmic Functions
Interactive Mathematics
Interactive Mathematics: Exponential and Logarithmic Functions
This lesson explains what exponential and logarithmic functions are. Includes graphs and links to more information.
University of North Carolina
University of North Carolina Wilmington: Logarithmic Functions
Defines logarithmic functions, offers interactive graphs of exponential equations, and explains natural logarithms.
Other
Numbers, Constants, and Computation: The Logarithm Constant : Log(2)
This site explains The logarithm constant : log(2). It is a very comprehensive site.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Exponential and Logarithmic Equations
Thirty-two problems present a variety of solving exponential and logarithmic equations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Logarithms
Here is a site that clearly and thoroughly explains logarithms from the definition through the properties. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Logarithms
Find a quick, concise explanation of logarithms. Examples are given and clearly explained.
Cool Math
Coolmath: Exponentials & Logarithms Alien Amoebas
Use the example of alien amoebas to understand exponentials and logarithms.
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