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関数の変換: グラフの変更をマスターする

この 3 週間のコースでは、関数変換の概念と、それが関数の合成やグラフ作成にどのように関係するかを学びます。この概念を理解しやすくするのに役立つアイデアや戦略を探ります。
Erin Townley
平均評価:
5.0
レビュー数:
(1)
クラス

含まれるもの

6 ライブミーティング
4 時間 30 分 授業時間
宿題:
週あたり 1-2 時間. 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.
修了証書
クラス修了後 1
この文章は自動翻訳されています

このクラスで学べること

英語レベル - 不明
米国の学年 8 - 11
Intermediate レベル向け
This course is intended to give students an opportunity to learn about the concept of function transformations and how they are used, interpreted, applied and graphed. It is intended to be an introduction to transformations, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of functions and graphing 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 45 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.

学習到達目標

Students will learn how to use function composition to apply transformations to parent functions.
Students will learn how to interpret a function equation from the graph when transformations have been applied.
学習目標

シラバス

6 レッスン
3 週間以上
レッスン 1:
Function Composition and Introduction to Transformations
 In this lesson we will go over the operation of function composition, define what function transformations are and how they relate to composition. We will do some simple practice of applying a single transformation to an equation. 
45 分のオンラインライブレッスン
レッスン 2:
Applying Multiple Transformations
 In this lesson, we will focus on how to correctly apply more than one transformation to an equation, paying attention to the order in which the transformations occur. 
45 分のオンラインライブレッスン
レッスン 3:
Interpreting Transformed Functions
 In this lesson, we will practice identifying what transformations are present in different types of functions, paying attention to different formats. 
45 分のオンラインライブレッスン
レッスン 4:
Graphing Transformed Functions
 In this lesson, we will take our understanding of function transformation from the previous lessons and learn how to graph the transformations to turn a parent function graph into a transformed function graph. We will also discuss things like domain and range and which transformations affect them. 
45 分のオンラインライブレッスン

その他の情報

受講の前提条件
Students should have completed an Algebra 1 course and be familiar with the concept of functions and graphing.
受講に必要なもの
Paper
Pen or Pencil
Graphing Calculator (I will be using Desmos and the Numworks calculator, but any graphing calculator will work)
外部リソース
このクラスでは、Outschool内のクラスルームに加えて、以下を使用します。
  • Desmos
参加しました June, 2024
5.0
1レビュー
プロフィール
教師の専門知識と資格
テキサス州 教員免許 数学で
修士号 University of Houstonから 数学 へ
Ever since I started teaching high school math, I noticed how regularly function transformations appear in a variety of levels and topics, from Algebra 1 to Calculus. Therefore, I made it a goal to create a course that will offer students an opportunity to form a strong foundation in a topic that will serve them well throughout their high school math courses and beyond. My qualifications for teaching this topic are:
-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 function transformations.

レビュー

ライブグループコース
共有

$40

毎週または$120 6 クラス分
週に2回、 3 週間
45 分

オンラインライブ授業
年齢: 12-17
クラス人数: 4 人-12 人

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