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代数 - 二次関数(因数分解、グラフ化、解法)

このコースでは、多項式の加算、減算、除算から始めて、二次関数のすべてをカバーします。次に、多項式の因数分解、解法、グラフ化に進みます。最後に、この知識を実際のシナリオに適用します。
クラス
再生

含まれるもの

10 ライブミーティング
9 時間 10 分 授業時間
習熟度評価
週1時間. Students can receive optional additional assignments at the request of the student/parent. Students are given "review" at the end of the course to see how well they mastered the 10 week concepts, with specific feedback in each lesson as to concept mastery.
評価
Students are given a "review" at the end of the course to see how well they mastered the 10 week concepts, with specific feedback in each lesson as to concept mastery, as well.
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このクラスで学べること

英語レベル - A1
米国の学年 7 - 9
Beginner - Intermediate レベル向け
We will learn the "ins and outs" of Quadratic Functions from top to bottom over the course. 

Adding and Subtracting Polynomials
Multiplying Polynomials (FOIL Method)
Special products
Solving in factored form
Factoring Quadratics
Factoring A > 1 Quadratics
Factoring Special Products
Factoring Completely
Graphing basics
Graphing advanced
Graphing intercept form
Identify Functions
Modeling Quadratics
Radical Properties
Solving Quadratics using Graphing, Square Roots, Complete the Square
Solving using Quadratic Formula
REVIEW ALL quadratics

Students will be able to do work on paper and submit it electornically during the class for encouragement and feedback, alternatively, many students will enjoy a digital whiteboard experience with live feedback, as well.

Students will be given the "digital boards" ahead of time if they'd like to get ahead and preview the content or complete it beforehand and then get feedback, as well, in the live session. I teach live, sharing my screen, and each learner has their own whiteboard to show their work. 

I'm a very clear communicator, modeling each skill as I teach, giving plenty of time for feedback before giving learners the opportunity to choose to move on to the next skill in the lesson. Learners have choices as to which problems to compolete while still meeting the standard of the skill. 

There will be "lecture" time for each new skill during the hour class each week, as well as guided practice and immediate feedback!

学習到達目標

Students will learn how to handle Quadratic (x squared) functions and equations - from solving them using square roots, to graphing and factoring and the Quadratic Formula - everything from Modeling to Word Problems and arithmetic with Polynomials!
学習目標

シラバス

標準
State-Specific Standards に準拠
10 レッスン
10 週間以上
レッスン 1:
Adding and Subtracting Polynomials Multiplying Polynomials (FOIL Method) Special
 Adding and Subtracting Polynomials - basic x and x squared combine like terms (with and without parenthesis).
Multiplying Polynomials (FOIL Method) - double distributive property.
Special products - sometimes it helps to know when a FOIL method is a special product to work backwards, or how to FOIL out specific special situations like (x+2)^2 
55 分のオンラインライブレッスン
レッスン 2:
Solving for x-intercepts from factored form Factoring Quadratics
 Solving for x-intercepts from factored form - this is when we have (x+2)(x-3)= 0 and students must solve for each individual x-intercept. 
Factoring Quadratics - the bedrock of the Quadratic unit, we learn a visual method for solving that is incredibly beneficial for students mastering this skill. 
55 分のオンラインライブレッスン
レッスン 3:
Factoring A > 1 Quadratics Factoring Special Products
 Factoring A > 1 Quadratics - Factoring gets a bit tougher, and we expand our visual method to account for this. 
Factoring Special Products - Sometimes, factoring doesn't work, and we adjust plans accordingly. 
55 分のオンラインライブレッスン
レッスン 4:
Factoring Completely
 Factoring Completely - Full final review of factoring, and how to get answers from factored form. 
55 分のオンラインライブレッスン

その他の情報

学習ニーズ
ADHD students will benefit from increased attention-grabbing brain breaks and verbal check-ins as they are completing their work on paper on in the online whiteboard (provided).
受講の前提条件
Pre-Algebra should have been taken to help students understand the distributive property, how to properly plug in x values into a function (equation) and get y-values to graph those (x, y) ordered pairs, and how to solve equations.
受講に必要なもの
Paper, Pencil, www.miro.com access and pre-registration (basic sign-up) before first session.
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。
使用する教材
F.L. Best Standards as well as National Algebra 1 Standards.
参加しました February, 2025
プロフィール
教師の専門知識と資格
フロリダ 教員免許 数学で
7 Years of teaching Algebra 1 in the classroom, and 3 years of private tutoring experience. National Merit Finalist in High School, Professional Certification for FL for Math Grades 6-12 and Math Grades 5-9, and Grades K-6 for all Subjects. 

レビュー

ライブグループクラス
共有

$45

毎週

週に1回、 10 週間
55 分
オンラインライブ授業
年齢: 11-16
クラス人数: 2 人-5 人

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