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
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Curated OER
Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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...
Curated OER
Exponential and Logarithmic Equations
In this algebra worksheet, 11th graders solve exponential and logarithmic functions using properties of exponents and logs. There are 56 questions with an answer key.
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math instructional activity, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to...
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
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.
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Curated OER
Fertilizers, Pesticides and Health
Students apply real data to create and calculate algebraic equations. Students create a visual to represent the concentration for one part per million and apply unit analysis to verify measurement computations. Students define the use...
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based lesson helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson is the first in...
Curated OER
Dead Body Math
Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Curated OER
Differential Equations and Population Growth
Young scholars determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
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...
TeachEngineering
Teach Engineering: Common and Natural Logarithms and Solving Equations
Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...