Curated OER
Reading Graphs with a Logarithmic Scale
Guide high school meteorologists through a detailed examination of oxygen concentration data. The learners analyze a line graph containing logarithmic data and employ the use of a graphing calculator. A comprehensive worksheet and links...
EngageNY
Logarithms—How Many Digits Do You Need?
Forget your ID number? Your pupils learn to use logarithms to determine the number of digits or characters necessary to create individual ID numbers for all members of a group.
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Teach Engineering
Common and Natural Logarithms and Solving Equations
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
EngageNY
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
Curated OER
Properties of Logarithms
Students explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
University of Colorado
Spacecraft Speed
Space shuttles traveled around Earth at a speed of 17,500 miles per hour, way faster than trains, planes, or automobiles travel! In the 13th installment of 22, groups graph different speeds to show how quickly spacecraft move through...
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Curated OER
Magnitude of the Richter Scale
Students examine how a Richter scale operates. They create a booklet illustrating each rating on the scale. They discover how engineers use different measurement tools.
Curated OER
Sense of Scale
Students examine the pH scale. They research common products and determine their pH level. They create their own pH scale and place their products in the appropriate place.
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Teach Engineering
Statistical Analysis of Flexible Circuits
Scholars connect statistical analysis with flexible electric circuits. They first learn about flexible circuits and their applications through a PowerPoint presentation and then consider how the fabrication process for these circuits...
Chymist
Visualizing pH
Why are acids and bases important in our daily lives? Lead the class in answering this question, among others, as they experiment with pH paper and classify where various substances belong on the pH scale. They also taste common acids...
Curated OER
Sonic Booms and Logarithms
High schoolers practice working with the symbolic notation for logarithms. They understand various types of patterns and functional relationships. They use symbolic forms to represent and analyze mathematical situations.
Curated OER
What's a Tree Worth?
Students calculate the board footage of a tree. In this forestry lesson, students use a Biltmore tree scale stick to calculate the number of board feet that would be produced. They quantify the economic value of a tree from this...
Curated OER
Earthquake, Earthquake, Read All About It!
Students utilize the U.S. Geological Service web site. They research the various types of scales used to measure earthquakes and classify different situations on the scale. They write a story about a town that has just experienced a quake.
Curated OER
Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
Curated OER
Properties of Fractals
Young scholars build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Curated OER
Determination of An Acid Dissociation
In this chemistry worksheet, students examine the given concept in order to apply in the laboratory setting. The sheet includes in depth background information.
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
pH and Red Cabbage Juice
Students review properties of materials and define what pH tells them about matter. In this pH levels lesson, students determine whether materials are acids or bases using indicator substances.
Curated OER
Acid Rain
Students understand the dynamics of acid rain and its impact on the living and non-living environment. They hypothesize how acid rain affects water pH levels in two lake systems with differing watershed features.