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数学者のための代数 2: 関数代数 2 数学コース (自分のペースで学習)
Kristen LeGeyt M.Ed. Secondary Mathematics
Star Educator
平均評価:5.0レビュー数:(213)
数学者のための関数代数 2 では、関数の観点から代数 2 を理解するための中核となる内容を扱います。トピックには、多項式、根号、有理数、指数関数、対数関数が含まれます。前提条件: 代数 1
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このクラスで学べること
米国の学年 8 - 11
Functional Algebra 2 for Mathematicians will provide a complete Algebra 2 curriculum covering 32 topics and can be completed in a 4 month (16 week) single semester by completing 2 topics each week. A pacing guide will be provided for planning purposes. The end date of this course will be extended 1 year from the start date so students will have plenty of time to complete the course and/or review material as needed. Sections will be offered at the beginning of every month, so families can...
4 units//32 lessons//16 Weeks
Unit 1Algebra 1 Linear Functions ReviewAlgebra 1 Linear Functions Review8 lessons4 WeeksWeek 1Lesson 1Simplifying ExpressionsThis lesson will review simplifying expressions.Lesson 2Solving EquationsThis lesson will review solving equations.Week 2Lesson 3Investigating Graphing LinesThis lesson will review graphing and transformations of lines.Lesson 4Graphing Linear FunctionsThis lesson will review graphing linear functions.Week 3Lesson 5Linear Functions ReviewThis lesson will review Algebra 1 linear functions.Lesson 6Applications of Linear SystemsThis lesson will review applications of linear systems from Algebra 1.Week 4Lesson 7Introduction to Functions (Notation, Operations, Composition)This lesson will introduce functions and review notation, operations, and compositions.Lesson 8Algebraic Modeling with Linear FunctionsThis lesson will review how to do Algebraic Modeling using linear functions.Unit 2Polynomials FunctionsPolynomials Functions10 lessons5 WeeksWeek 5Lesson 9Regression Analysis and Intro to QuadraticsThis lesson will go over regression analysis and introduce quadratic functions through data.Lesson 10Graphing Quadratics ReviewThis lesson will go over the anatomy of a quadratic from Algebra 1 and provides review work for working with quadratics in vertex, standard, and factored form.Week 6Lesson 11FactoringThis lesson is designed as a comprehensive review of factoring from Algebra 1 and includes the GCF Method, Trinomials with a lead coefficient of 1, Trinomials without a lead coefficient of 1, Factor by Grouping, Special Case: Difference of Squares, and Special Case: Perfect Square Trinomials.Lesson 12Solving QuadraticsThis lesson will review the 4 Algebra 1 methods for solving quadratics using factoring and the zero product property, using the square root method, using completing the square, and using the quadratic formula.Week 7Lesson 13Radicals and Complex NumbersThis lesson will review properties of radicals and complex numbers as they appear quite often in polynomial functions.Lesson 14Modeling QuadraticsThis lesson will review Algebraic Modeling with Quadratic Functions using data.Week 8Lesson 15Polynomial Skills RefreshThis lesson will review the basics of working with polynomials.Lesson 16Polynomial Division and TheoremsThis lesson will introduce polynomial division using long division and synthetic division and related theorems.Week 9Lesson 17Polynomial Theorems and EquationsThis lesson will introduce more polynomial theorems and how to write polynomial functions.Lesson 18Graphing Polynomial FunctionsThis lesson will put all of our polynomial work together by completely graphing polynomial functions and then trying related application problems.Unit 3Radical, Reciprocal, and Rational FunctionsRadical, Reciprocal, and Rational Functions6 lessons3 WeeksWeek 10Lesson 19Radical EquationsThis lesson will introduce radical equations.Lesson 20Radical Functions and TransformationsThis lesson will introduce radical functions and their transformations.Week 11Lesson 21Reciprocal FunctionsThis lesson will focus on graphing reciprocal functions.Lesson 22Rational Expressions and EquationsThis lesson will review fraction skills applied to rational fractions that contain polynomials in the numerator and/or denominator.Week 12Lesson 23Rational FunctionsThis lesson will introduce graphing simplified rational functions and the different types of asymptotes that exist.Lesson 24Rational Functions Discontinuities and ApplicationsThis lesson will introduce graphing non-simplified rational functions and the different types of discontinuities that exist.Unit 4Exponential and Logarithmic FunctionsExponential and Logarithmic Functions8 lessons4 WeeksWeek 13Lesson 25Exponential Properties Review & Exponential vs Linear ModelingThis lesson will review properties of exponents. This lesson will also review Algebraic modeling for exponential functions.Lesson 26Graphing Exponential FunctionsThis lesson will review graphing exponential functions.Week 14Lesson 27Simplifying LogarithmsThis lesson will introduce logarithms and their basic properties.Lesson 28Properties of LogarithmsThis lesson will introduce properties of logarithms and how to go between exponents logarithms using these properties.Week 15Lesson 29Solving Logarithmic EquationsThis lesson will use properties of logarithms to solve logarithmic equations.Lesson 30Solving Exponential EquationsThis lesson will use logarithms to solve exponential equations where the variable is in the exponent.Week 16Lesson 31Graphing Logarithmic FunctionsThis lesson will focus on graphing logarithmic functions.Lesson 32Applications for Exponential and LogarithmicThis lesson will introduce applications involving both exponential and logarithmic functions.
Students will be able to understand the properties of the Parent, Quadratic, Polynomial, Cubic, Radical, Rational, Reciprocal, Logarithmic and Exponential Functions. Students will be able to use modeling techniques graphically and algebraically.
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A pacing guide will be provided as well as a syllabus outlining how each student and family can determine the best homework load for their situation. Each session there will be an instructional content for note taking, a practice set of problems, and a solutions guide to check their own work, that should all be completed for each topic. Labs and online participation components are considered part of class time but will also need to be completed each week. Optional enrichment activities and additional practice will also be available.授業以外に週あたり 2 - 4 時間の学習が期待されます
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Assessments will be provided and can be formally graded or self-corrected. All students will receive a topical transcript at the end of the course. Students needing formal grades should submit assessments for grading throughout the class and a graded transcript can be provided.成績が提供されます
It is recommended that students have access to a graphing calculator like the Texas Instruments TI-84 plus beginning with Algebra classes. Students will receive handouts and assignments throughout the course. Labs and optional enrichment activities may require miscellaneous household items on occasion.
Desmos.com an online graphing calculator utility and is a third party tool that does not require an account to use, but students may create a free account if they choose. Students will use desmos.com throughout the course in addition to their personal graphing calculator. YouTube.com will provide supplemental videos for students to experience math through seeing and is a third party tool that does not require an account to use, but students may create a free account if they choose.
Star Educator
平均評価:5.0レビュー数:(213)
I teach a variety of secondary mathematics classes on OutSchool for students from 7th to 12th grade. Traditional core academic content courses I offer are Pre-Algebra, Algebra I, Geometry, Algebra II, and Pre-Calculus. I also offer...
自分のペースで進められるクラス
￥100
週ごとまたは￥400 すべてのコンテンツ32 録画済みレッスン
16 教師サポート週間
開始日を選択してください
コンテンツへの 1 年間のアクセス
3 人がクラスを受けました
年齢: 13-17
