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なんと急な坂でしょう!!! 傾斜と連立方程式を解きます。

生徒は、x の係数が負である不等式を解き、グラフ化できるようになります。
BIlly Edward Bush B.A, M.Ed.
平均評価:
4.8
レビュー数:
(463)
Rising Star
クラス
再生

含まれるもの

4 ライブミーティング
4 授業時間
宿題:
週あたり 1-2 時間. Worksheets will be provided ( pending on students skill sets during the lessons)
テスト
Via an exciting online program that will introduce a topic, review and reinforce knowledge, and run a formative assessment.
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 7 - 10
Beginner - Advanced レベル向け
How will students learn? 

There will be several ways to interact with me in an online class: through synchronous interaction and asynchronous interactions.

Here are some examples of ways I will engage in synchronous interactions:
Live course orientation. 

Synchronous online meeting. 

How will they interact with myself and each other?

I will use the gradual release method of teaching: " I do, we do, you do" 
- First, I demonstrate how to do it (using several examples).  
- Next, the students do some problems along with me.
- Finally, they complete some problems on their own that I will check for accuracy and give more guidance if needed. 

How is class time structured?

The material taught in an online course follows a structure. Just like a traditional course, students start at the beginning of the education objectives and progress through the coursework. They move from the most introductory topics the class covers to the most advanced.

What topics will be covered?

1. Find the slope of a line given two points. 
2. Find the slope of vertical and horizontal lines. 
3. Graph a line using its slope and a point on the line. 
4. Work with applications of slope.
5. Be able to solve a system of equations from graphing the equations Determine.
6. Solve systems of linear equations by substitution.
7. Solve systems of linear equations by elimination.
8. Solve systems of linear equations by graphing.
9. Students are able to determine if a system of linear equations has no solution, one solution, or infinitely many solutions.
10. Students are able to determine which method is best to solve a system of linear equations.
11. Students are able to set up equations based off of real life situations to solve a system of linear equations.12. 
12. Students are able to solve equations base off of real life situations.

The keys for this lesson is going to be precision (mathematical practice 7), perseverance (mathematical practice 1) and reasonableness (mathematical practice 3).  Students will need to be precise when completing the steps - being careful to remember to flip the sign when dividing by a negative.  Students will also be encouraged to check answers from their solution sets - is your answer reasonable? If I choose a random number from your shaded region will it work?  Finally, students will need to persevere! Getting inequalities right takes time!  The negative rule is tricky, and frustrating - practice practice practice!
学習到達目標
Students are able to substitute values in for variables
Students are able to graph linear equations.
Students are able to solve equations for a specific variable.
Students are able to add and subtract equations by combining like terms.
学習目標

その他の情報

指導言語
英語
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。
参加しました March, 2020
4.8
463レビュー
Rising Star
プロフィール
教師の専門知識と資格
カリフォルニア 教員免許 初等教育で
カリフォルニア 教員免許 数学で
修士号 Claremont Graduate Universityから 教育 へ
Algebra is critically important because it is often viewed as a gatekeeper to higher-level mathematics and it's a required course for virtually every postsecondary school program.  I have 6 basic reasons why I think offering this class is so important.  

1)Algebra is Faster And Better Than “Basic” Math
Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.

2) Algebra is Necessary to Master Statistics and Calculus

While learning one kind of math to learn more kinds of math may not be an immediately satisfying concept, statistics and calculus are used by many people in their jobs. For example, on my other side job as a research person for a local non-profit organization, I use statistics every day. I help departments identify ways to measure their success. In general, statistics are used in certain jobs within businesses, the media, health and wellness, politics, social sciences, and many other fields. Understanding statistics makes us wiser consumers of information and better employees and citizens.

Calculus helps us describe many complex processes, such as how the speed of an object changes over time. Scientists and engineers use calculus in research and in designing new technology, medical treatments, and consumer products. Learning calculus is a must for anyone interested in pursuing a career in science, medicine, computer modeling, or engineering.

3) Algebra May Be a Job Skill Later

A student may be confident they are not going into any career needing statistics or calculus, but many people change jobs and entire careers multiple times in their working life. Possessing a firm knowledge and understanding of algebra will make career-related changes smoother.

4) Algebra Can Be Useful in Life Outside of the Workplace

I have found algebra helpful in making financial decisions. For example, I use algebra every year to pick a health care plan for my family using two-variable equations to find the break-even point for each option. I have used it in choosing cell phone plans. I even used it when custom-ordering bookshelves for our home. 

5) Algebra Reinforces Logical Thinking

I would not use algebra as the only means of teaching logic. There are more direct and effective means of doing so, but it is a nice side-benefit that the two subject areas reinforce one another.

6) Algebra is Beautiful

The beauty of algebra is an optional benefit because one has to truly choose to enjoy it, but algebra provides us with a basic language to describe so many types of real-world phenomena from gravity to the population growth of rabbits. That five letters can be used to describe how an entire category of matter, namely ideal gases, behaves is amazing and beautiful in its simplicity.

There is also a beauty when we start with a complex-looking problem and combine and simplify over and over until we have one value for each variable. The process can be enjoyable and the result immensely satisfying.

Algebra is an important life skill worth understanding well. It moves us beyond basic math and prepares us for statistics and calculus. It is useful for many jobs some of which a student may enter as a second career. Algebra is useful around the house and in analyzing information in the news. It also reinforces logical thinking and is beautiful.

So, keep an open mind about why we learn algebra and look for ways to share its applications with students. Dispel the stigma that it is a boring list of rules and procedures to memorize. Instead, consider algebra as a gateway to exploring the world around us. Those are our top reasons why we learn algebra, and there are plenty more. 

レビュー

ライブグループクラス
共有

$140

4 クラス分
週に4回、 1 週間
60 分

7 人がクラスを受けました
オンラインライブ授業
年齢: 12-17
クラス人数: 1 人-12 人

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