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哦,出於對對數的熱愛!

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。
Erin Townley
平均評分:
5.0
評論數量:
(1)
班級

包含什麼

6 現場會議
5 小時 30 分鐘 上課時間
作業
每週 1-2 小時. 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.
完成證書
1堂 課程結束後
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課堂經歷

英語程度 - 未知
美國 9 - 11 年級
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 the unique make-up of each group. Larger groups will have more opportunity to work with partners and small group dynamics, while smaller groups will have more individual check-ins with me.

The class will meet twice a week, and each meeting is 55 min to allow for ample time to explore, discuss, and practice the concepts presented. I encourage my students to be active learners by asking and answering questions, offering explanations, etc., as this enriches the experience and the learning for all students.

There will be no required homework assigned in this class, but optional homework assignments/extra practice will be provided after each class meeting for students to complete when needed.
學習目標
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.
學習目標

教學大綱

6 課程
超過 3 週
課 1:
Introduction to Logarithms
 In 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 operation 
55 分鐘線上直播課
課 2:
Properties of Logarithms
 In 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. 
55 分鐘線上直播課
課 3:
More with Logarithmic Functions
 In 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. 
55 分鐘線上直播課
課 4:
The Number e and the Natural Log
 In 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. 
55 分鐘線上直播課

其他詳情

先決條件
Students should have completed a full Algebra 1 course and be familiar with the properties of exponents prior to taking this class.
供應清單
Paper
Pen or Pencil
Graphing Calculator (Numworks is what I will be demonstrating with, but that calculator is not required for students)
外部資源
除了 Outschool 教室外,本課程也使用:
  • Desmos
已加入 June, 2024
5.0
1評論
教師檔案
教師專業知識和證書
德州 教學證書 在 數學
碩士 在 數學 從 University of Houston
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

評論

現場團體課程
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US$40

每週或US$120 用於 6 課程
每週2次,共 3 週
55 分鐘

即時視訊會議
年齡: 13-17
4-12 每班學員人數

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