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Oh, For the Love of Logarithms!
Erin Townley
Average rating:
5.0
Number of reviews:(1)
New on Outschool
In this 3-week class, students will be introduced to the history, concept, and properties of logarithms. We will look at how they are used as functions, as the inverse of exponential functions, and as a tool for simplifying and solving.
Class Experience
US Grade 9 - 11
Intermediate Level
This course is intended to give students an opportunity to learn about the concept of logarithms, as well as their properties, applications, and functions. It is intended to be an introduction to logarithms, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of the rules of exponents prior to taking the course. Although we will have a set amount of content to cover each class, the class dynamics and procedures will be tailored to...
6 lessons//3 Weeks
Week 1Lesson 1Introduction to LogarithmsIn this lesson, we will learn about the history, definition, and basic characteristics of logarithms. We will look at logarithms through two lenses: 1) the logarithmic function, and 2) logarithms as an operationLesson 2Properties of LogarithmsIn this lesson, we will extend our understanding of logarithms by connecting the properties of logarithms to the properties of exponents. We will see how the properties relate to logarithmic functions and expressions.Week 2Lesson 3More with Logarithmic FunctionsIn this lesson, we will focus on the graph, characteristics, transformations, domain and range of logarithmic functions. We will also look more closely at the inverse relationship between logarithmic functions and exponential functions.Lesson 4The Number e and the Natural LogIn this lesson, we will explore the usefulness of the number e and its inverse, the natural log. We will see why these are used in a variety of situations and show how they still adhere to all the same properties as other exponential bases and logarithms.Week 3Lesson 5Solving Exponential EquationsIn this lesson, we will explore how to solve a variety of exponential equations, using rules of exponents and logarithms. We will also discuss how to know when the use of logarithms is required.Lesson 6Solving Logarithmic Equations + Some Challenge QuestionsIn this lesson, we will look at how the properties of logarithms can be used to solve logarithmic equations and check for extraneous solutions. We will also look at some more advanced techniques that can be used to solve a variety of more challenging problems involving logarithms.
- Students will be introduced to the idea of logarithms and will understand how to evaluate them.
- Students will graph, evaluate and transform logarithmic functions to better understand the characteristics.
- Students will solidify their understanding of logarithms and their properties by solving a variety of equations and problems that relate to logarithms.
Since learning about them in high school, logarithms have been one of my favorite topics in math. As a student, I actively sought out opportunities to take courses that involved logarithms, and, as a teacher, the unit on logarithms is always one of my favorites. In addition to my love of the subject, I have the following qualifications: -B.A. in Mathematics from Rice University -M.A in Mathematics from University of Houston -Texas Teaching Certificate -almost 15 years teaching and tutoring courses that teach and/or use logarithms
1 - 2 hours per week outside of class
Homework
Frequency: includedFeedback: includedDetails: Homework will be given after each class, and it will be discussed and reviewed in the next class if needed. Answer keys will be provided for students to be able to check their work as they complete, but it will not be required to submit the homework for grade.Certificate of Completion
Frequency: 1 after class completionDetails:
Students should have completed a full Algebra 1 course and be familiar with the properties of exponents prior to taking this class.
Paper Pen or Pencil Graphing Calculator (Numworks is what I will be demonstrating with, but that calculator is not required for students)
In addition to the Outschool classroom, this class uses:
Joined June, 2024
5.0
1reviews
New on Outschool
Teacher expertise and credentials
Texas Teaching Certificate in Mathematics
Master's Degree in Mathematics from University of Houston
Hi, I’m Erin! I graduated magna cum laude from Rice University in 2008 with a B.A. in both Mathematics and Psychology, as well as obtaining a teaching certificate for grades 7-12. I then went on to get a M.A. in Mathematics from the University of...
Reviews
Group Class
$40
weekly or $120 for 6 classes2x per week, 3 weeks
55 min
Live video meetings
Ages: 13-17
4-12 learners per class
Financial Assistance
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