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高中預科微積分 |數學 |完整課程 |靈活（自訂進度）
Nicole Marie
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平均評分：4.8評論數量：(444)
在靈活的微積分預科課程中探索高中數學概念。深入研究三角學、函數、繪圖等。為大學程度的數學做好準備，例如具有個人化學習選項的微積分系列。
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課堂經歷
美國等級 9 - 12
In this self-paced flexible course, students will learn high school pre-calculus. They will take notes on pre-recorded lessons and ask questions if they have any about homework on the classroom page or via messages. Students can message anytime for help, and I will provide recorded explanations and guides. The class utilizes external videos, guides, and worksheets that I provide. Weekly check-ins and homework submissions with images, scans, or PDFs are expected. Quizzes and unit tests are...
10 units//20 lessons//20 Weeks
Unit 1Composite and inverse functionsComposite and inverse functions2 lessons2 WeeksWeek 1Lesson 1Composite and inverse functionsComposing functions Modeling with composite functions Invertible functions Inverse functions in graphs and tables Verifying inverse functions by compositionWeek 2Lesson 2Composite and inverse functionsComposing functions Modeling with composite functions Invertible functions Inverse functions in graphs and tables Verifying inverse functions by compositionUnit 2TrigonometryTrigonometry2 lessons2 WeeksWeek 3Lesson 3TrigonometrySpecial trigonometric values in the first quadrant Trigonometric identities on the unit circle Inverse trigonometric functions Law of sines Law of cosines Solving general triangles Sinusoidal equations Sinusoidal models Angle addition identities Using trigonometric identitiesWeek 4Lesson 4TrigonometrySpecial trigonometric values in the first quadrant Trigonometric identities on the unit circle Inverse trigonometric functions Law of sines Law of cosines Solving general triangles Sinusoidal equations Sinusoidal models Angle addition identities Using trigonometric identitiesUnit 3Complex numbersComplex numbers2 lessons2 WeeksWeek 5Lesson 5Complex numbersThe complex plane Distance and midpoint of complex numbers Complex conjugates and dividing complex numbers Identities with complex numbers Modulus (absolute value) and argument (angle) of complex numbers Polar form of complex numbers Graphically multiplying complex numbers Multiplying and dividing complex numbers in polar form The fundamental theorem of algebraWeek 6Lesson 6Complex numbersThe complex plane Distance and midpoint of complex numbers Complex conjugates and dividing complex numbers Identities with complex numbers Modulus (absolute value) and argument (angle) of complex numbers Polar form of complex numbers Graphically multiplying complex numbers Multiplying and dividing complex numbers in polar form The fundamental theorem of algebraUnit 4Rational functionsRational functions2 lessons2 WeeksWeek 7Lesson 7Rational functionsReducing rational expressions to lowest terms End behavior of rational functions Discontinuities of rational functions Graphs of rational functions Modeling with rational functions Multiplying and dividing rational expressions Adding and subtracting rational expressionsWeek 8Lesson 8Rational functionsReducing rational expressions to lowest terms End behavior of rational functions Discontinuities of rational functions Graphs of rational functions Modeling with rational functions Multiplying and dividing rational expressions Adding and subtracting rational expressionsUnit 5Conic sectionsConic sections2 lessons2 WeeksWeek 9Lesson 9Conic sectionsIntroduction to conic sections Center and radii of an ellipse Foci of an ellipse Introduction to hyperbolas Foci of a hyperbola Hyperbolas not centered at the originWeek 10Lesson 10Conic sectionsIntroduction to conic sections Center and radii of an ellipse Foci of an ellipse Introduction to hyperbolas Foci of a hyperbola Hyperbolas not centered at the originUnit 6VectorsVectors2 lessons2 WeeksWeek 11Lesson 11VectorsVectors introduction Vector components Magnitude of vectors Scalar multiplication Vector addition and subtraction Direction of vectors Vector components from magnitude and direction Adding vectors in magnitude and direction form Vectors word problemsWeek 12Lesson 12VectorsVectors introduction Vector components Magnitude of vectors Scalar multiplication Vector addition and subtraction Direction of vectors Vector components from magnitude and direction Adding vectors in magnitude and direction form Vectors word problemsUnit 7MatricesMatrices2 lessons2 WeeksWeek 13Lesson 13MatricesIntroduction to matrices Using matrices to represent data Multiplying matrices by scalars Adding and subtracting matrices Properties of matrix addition & scalar multiplication Using matrices to manipulate data Matrices as transformations of the plane Using matrices to transform the plane Transforming 3D and 4D vectors with matrices Multiplying matrices by matrices Properties of matrix multiplication Representing systems of equations with matrices Introduction to matrix inverses Finding inversesWeek 14Lesson 14MatricesIntroduction to matrices Using matrices to represent data Multiplying matrices by scalars Adding and subtracting matrices Properties of matrix addition & scalar multiplication Using matrices to manipulate data Matrices as transformations of the plane Using matrices to transform the plane Transforming 3D and 4D vectors with matrices Multiplying matrices by matrices Properties of matrix multiplication Representing systems of equations with matrices Introduction to matrix inverses Finding inversesUnit 8Probability and combinatoricsProbability and combinatorics2 lessons2 WeeksWeek 15Lesson 15Probability and combinatoricsVenn diagrams and the addition rule Multiplication rule for probabilities Permutations Combinations Probability using combinatorics Probability distributions introduction Theoretical & empirical probability distributions Decisions with probability Expected valueWeek 16Lesson 16Probability and combinatoricsVenn diagrams and the addition rule Multiplication rule for probabilities Permutations Combinations Probability using combinatorics Probability distributions introduction Theoretical & empirical probability distributions Decisions with probability Expected valueUnit 9SeriesSeries1 lesson1 WeekWeek 17Lesson 17SeriesGeometric series Geometric series (with summation notation) The binomial theoremUnit 10Limits and continuityLimits and continuity3 lessons3 WeeksWeek 18Lesson 18Limits and continuityDefining limits and using limit notation Estimating limit values from graphs Estimating limit values from tables Determining limits using algebraic properties of limits: limit properties Determining limits using algebraic properties of limits: direct substitution Determining limits using algebraic manipulation Selecting procedures for determining limits Determining limits using the squeeze theorem Exploring types of discontinuities Defining continuity at a point Confirming continuity over an intWeek 19Lesson 19Limits and continuityDefining limits and using limit notation Estimating limit values from graphs Estimating limit values from tables Determining limits using algebraic properties of limits: limit properties Determining limits using algebraic properties of limits: direct substitution Determining limits using algebraic manipulation Selecting procedures for determining limits Determining limits using the squeeze theorem Exploring types of discontinuities Defining continuity at a point Confirming continuity over an intWeek 20Lesson 20Review / Final ExamLearners will complete a cumulative review and take a final exam for the final week of this course.
1. Develop a deep understanding of pre-calculus concepts, including algebraic functions, properties of graphs, and trigonometric functions. 2. Gain the skills necessary to apply pre-calculus concepts to real-world situations, such as physics and engineering problems. 3. Improve problem-solving abilities, including the ability to use critical thinking and logical reasoning to approach pre-calculus problems. 4. Increase confidence in mathematical abilities and develop a positive attitude towards math. 5. Prepare for future math courses, such as calculus, by building a strong foundation in pre-calculus concepts and skills.
As an experienced educator, I bring a wealth of knowledge and expertise to the classroom. With a background in Mathematics/Computer Science and over three years of teaching and tutoring experience, I am well-equipped to guide learners through the Pre-Algebra and Geometry curriculum. I have worked with learners of all ages, from elementary to college level, and understand the diverse learning needs and styles of students. My solid foundation in mathematics, coupled with my ongoing education in the field, enables me to provide comprehensive instruction and support. I am passionate about fostering a positive and engaging learning environment, where students can feel confident and motivated to excel. I am dedicated to adapting my teaching strategies to meet individual learning styles and provide personalized guidance to ensure every student's success. With a focus on effective communication and continuous support, I am committed to helping students overcome challenges and achieve their academic goals. I am available for one-on-one tutoring sessions to provide additional assistance and address any specific areas of difficulty. By staying up-to-date with the latest educational resources and technologies, I strive to incorporate innovative teaching methods and interactive activities into the classroom. I aim to make learning both enjoyable and meaningful, equipping students with essential mathematical skills and a solid foundation for future studies. I am excited to embark on this educational journey with my students, inspiring their curiosity, nurturing their mathematical abilities, and empowering them to reach new heights of academic excellence.
提供的家庭作業
Weekly homework assignments are provided to learners to strengthen their understanding of concepts and enhance their confidence while retaining the information. Homework will be assigned either through Khan Academy or as a PDF worksheet provided by me. The aim is to ensure active engagement and reinforce learning outside the class.2 - 4 每週課外時間
提供的評估
The assignment of a grade is contingent upon the completion of ALL assignments by learners.提供的成績
除了 Outschool 教室外，本課程也使用：
By simply having an email account, learners can utilize Khan Academy as a supplementary learning resource for tracking progress and taking unit tests. This allows parents to oversee their child's advancement and actively partake in their educational expedition. Please note that all communication regarding our classes must take place exclusively on the Outschool platform.
受歡迎的
平均評分：4.8評論數量：(444)
Get $25 off select classes (8 weeks or longer) by using the promo code 'MARIEJBHXE25' during our summer promo. Having taught on Outschool for over three years and previously teaching English online to kids in China for two years, I have a...
自訂進度課程
US$13
weekly or US$250 for all content20 預錄課程
20 老師回饋週
選擇您的開始日期
1 年內容存取權
由 6 學習者完成
Ages: 13-18
