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微積分AB

新着クラス

年齢 13 歳-18 歳

ライブグループコース

この 1 年間のコースでは、5 月の AP 試験に向けて学生を準備することを目的として、微積分 AB の内容をカバーします。

Esther Goldberger

平均評価:

5.0

レビュー数:

(3 レビュー)

オンラインライブ授業

週に1回、 32 週間

6 人-12 人 1クラスあたりの学習者

75 分

About 学習の概要講師レビュー

含まれるもの

32 ライブミーティング

40 授業時間

宿題：

週あたり 2-4 時間. Students will be assigned weekly homework, with solutions released the following week. Homework will be self-graded, but I will be happy to discuss homework questions at any time.

テスト

This course will have 6 timed unit assessments, with a particular aim of familiarizing students with AP-style questions. At the end of the course, students will complete a full AP practice exam as the final exam.

文章の成績

含まれる

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 10 - 12

In this course, we will cover the material in Calculus AB, with an aim to prepare you for the AP exam.  The course will consist of 30 live lectures, divided into 6 units (Note that the AP curriculum is divided into 8 units - we will cover those units, but units 2 & 3 are consolidated, as are units 4 & 5):
1. Limits and continuity
2. The derivative
3. Applications of the derivative
4. The integral
5. Applications of the integral
6. Differential Equations
Each class will consist of 30-45 minutes, broken into 10-15 minute mini-lessons, in which I'll introduce the material.  Stylistically, I'll be using a combination of direct exposition and targeted questions aimed at guiding students to a deeper understanding.  Each topic will then be followed with immediate applications, with a focus on AP multiple choice and free response problems.  At all times, students will be highly encouraged to ask questions.
Finally, with an aim to increasing student engagement, I will require that students have their video on for the duration of the class.  I can make a limited number of exceptions in extenuating circumstances, if communicated in advance.

シラバス

カリキュラム

College Board Advanced Placement カリキュラムに準拠

標準

Advanced Placement (AP) Standards に準拠

6 ユニット

32 レッスン

32 週間以上

ユニット 1: Limits and Continuity

レッスン 1:

Instantaneous Change and Limits

 We'll begin by motivating the study of differential calculus in the context of instantaneous change.  We will then introduce limits as a method of finding instantaneous rates.  Finally, we will learn to analyze right, left, and overall limits graphically.

75 分のオンラインライブレッスン

レッスン 2:

Limit Properties

 In this class, we'll look at the linearity of the limit, and limits of products and quotients.  This class will meld into lesson 3, so we'll begin introducing some algebraic techniques for evaluating limits.

75 分のオンラインライブレッスン

レッスン 3:

Algebraic Limits

 Picking up from week 2, we'll look at finding limits via factorization, conjugate multiplication, and squeeze theorem.

75 分のオンラインライブレッスン

レッスン 4:

Continuity and the IVT

 We will look at the three conditions for continuity at a point, working through both graphical and algebraic applications.  We will then introduce the intermediate value theorem.

75 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 are expected to have taken precalculus prior to this course. However, I am happy to make exceptions on a case-by-case basis, if a student is able to demonstrate proficiency with a diagnostic exam.

受講に必要なもの

AP Calculus AB Prep Book: https://www.amazon.com/Princeton-Review-Calculus-Premium-Prep-dp-059351758X/dp/059351758X/ref=dp_ob_title_bk

外部リソース

学習者は、Outschoolが提供する基本ツール以外のアプリやウェブサイトを使用する必要はありません。

先生について

Esther Goldberger

参加しました October, 2021

5.0

3レビュー

プロフィール

教師の専門知識と資格

学士号 Massachusetts Institute of Technologyから科学へ

I graduated from MIT in 2019 with a major in Physics and minor in mathematics.  I started tutoring Calculus in high school, and have been tutoring math and physics full-time since 2021.