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高階代數 2 完整課程 - 第 1 學期（第 1-6 單元） - 自訂進度
Ms. Li
平均評分：4.9評論數量：(17)
在這個為期 12 週的自定進度課程中，學生將學習如何使用方程式、不等式、因式分解、有理數、根式、複數和函數。
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課堂經歷
美國等級 9 - 12
Advanced 等級
In this 12-week self-paced course, we will be learning about the fundamentals of Algebra II, starting with solving equations, inequalities, and systems of equations. Then we will focus on strategies of factoring polynomials. After that we will be learning about how to work with everything surrounding rationals, radicals, complex numbers, and functions. This is an advanced level course and will go at a faster pace at times. We will also cover more rigorous problems at an in depth level....
6 units//48 lessons//12 Weeks
Unit 1Mathematical Systems, Equations, and InequalitiesMathematical Systems, Equations, and Inequalities5 lessons2 WeeksWeek 1Lesson 1Subsets of the Real Number SystemLesson 2Linear Equations, Linear Inequalities, Set-builder and Interval NotationLesson 3Compound InequalitiesLesson 4Absolute Value InequalitiesWeek 2Lesson 5Linear Systems of 3 VariablesUnit 2FactoringFactoring11 lessons3 WeeksWeek 2Lesson 6Multiplying PolynomialsLesson 7Binomial ExpansionLesson 8GCF and Trinomials with Leading Coefficient of 1Week 3Lesson 9Difference of Squares and Perfect Square TrinomialsLesson 10Trinomials with Leading Coefficient Not 1; Factoring by GroupingLesson 11Sum and Difference of CubesLesson 12All Factoring TechniquesWeek 4Lesson 13Literal EquationsLesson 14Zero Product PropertyLesson 15Completing the Square and Quadratic FormulaLesson 16Quadratic and Polynomial InequalitiesUnit 3Rational ExpressionsRational Expressions10 lessons3 WeeksWeek 5Lesson 17Simplifying Rational ExpressionsLesson 18Multiplying and Dividing Rational ExpressionsLesson 19Adding and Subtracting Rational Expressions with Monomial DenominatorsLesson 20Adding and Subtracting Rational Expressions with Polynomial DenominatorsWeek 6Lesson 21Complex FractionsLesson 22Rational EquationsLesson 23Work ProblemsLesson 24Motion ProblemsWeek 7Lesson 25Mixture ProblemsLesson 26Rational InequalitiesUnit 4Radical ExpressionsRadical Expressions7 lessons3 WeeksWeek 7Lesson 27Rules of ExponentsLesson 28Equations with Rational ExponentsWeek 8Lesson 29Simplifying Radicals Including Higher IndicesLesson 30Multiplying and Dividing Radicals; Rationalizing the DenominatorsLesson 31Adding and Subtracting Radical ExpressionsLesson 32Binomials Containing RadicalsWeek 9Lesson 33Radical EquationsUnit 5Complex NumbersComplex Numbers7 lessons2 WeeksWeek 9Lesson 34Imaginary Unit, Powers of i, Intro to Complex NumbersLesson 35Operations with Complex NumbersLesson 36Graphing Complex NumbersWeek 10Lesson 37Absolute Value of Complex NumbersLesson 38Solving Quadratics with Imaginary RootsLesson 39Nature of the Roots 1Lesson 40Nature of the Roots 2Unit 6Relations and FunctionsRelations and Functions8 lessons2 WeeksWeek 11Lesson 41Functions and RelationsLesson 42Domain and RangeLesson 43Compositions of FunctionsLesson 44Inverse Functions and One-to-one FunctionsWeek 12Lesson 45Transformations of Random FunctionsLesson 46Transformations of Absolute Value, Parabolic, and Square Root FunctionsLesson 47Projectile Motion Word ProblemsLesson 48Average Rate of Change
Students will be able to: - identify subsets of the real number system - solve linear equations and inequalities - write solutions in both set-builder and interval notation - solve 3x3 linear systems - multiply polynomials - factor polynomials using several strategies - solve literal equations - solve quadratic equations using several strategies - solve polynomial inequalities - simplify and perform operations on rational expressions - simplify complex fractions - solve rational equations - solve word problems using rational equations - solve rational inequalities - simplify exponential expressions - solve equations with rational exponents - perform operations on radical expressions - solve radical equations - simplify and perform operations with complex numbers - graph complex numbers - solve quadratics with complex roots - find the nature of the roots using the discriminant - identify functions - identify domain and range of functions - evaluate compositions of functions - work with inverse functions and 1-1 functions - transform functions - solve projectile motion word problems - find the average rate of change
I have a Bachelors in Mathematics and a Masters in Secondary Math Education. I have also taught high school mathematics as a public school teacher and private tutor for over 14 years.
提供的家庭作業
Homework will be assigned after each lesson to reinforce the material that was taught for that class.4+ 每週課外時間
提供的評估
提供的成績
Notebook, pen/pencil (multiple colors if possible), handouts (provided by Ms. Li on our classroom page), graphing calculator (i.e. TI-84 Plus), graph paper
Hello! My name is Ms. Li. I have a Bachelors degree in Mathematics from UMass Amherst and a Masters degree in Secondary Math Education from Columbia University’s Teachers College. I also am a licensed math teacher for grades 7-12. I have been a...
