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哦，出於對數的熱愛！
Erin Townley
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5.0
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Outschool 新內容
在這個為期三週的課程中，學生將了解對數的歷史、概念和性質。我們將了解它們如何用作函數、指數函數的反函數以及簡化和求解的工具。
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課堂經歷
英語程度 - 未知
美國等級 9 - 11
Intermediate 等級
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 每週課外時間
Homework
頻率: 包括回饋: 包括細節: 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
頻率: 1 after class completion細節:
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)
除了 Outschool 教室外，本課程也使用：
已加入 June, 2024
5.0
1評論
Outschool 新內容
教師專業知識和證書
德州 教學證書 在 數學
碩士 in 數學 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...
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團體課
US$40
每週或US$120 用於 6 課程每週上課 x 2 次， 3 週
55 分鐘
即時視訊會議
年齡: 13-17
4-12 每班學員人數
