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所在平台: Udemy |
课程主页: https://www.udemy.com/course/algebra-1-made-simple/
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“Algebra 1 Made Simple!” 课程是一门旨在帮助您轻松掌握代数基础知识并为更高级数学课程（如几何和代数 II）打下坚实基础的在线课程。本课程强调最简单、最直接的学习方式，内容精炼、实用且清晰易懂。 课程共包含 **12 个章节**，涵盖 **80 个视频课程**。每节课都包含关键概念讲解和分步解题指导。 **课程主要内容概览：** * **S01：预代数回顾**：复习变量、指数、运算顺序、方程与不等式，以及将文字叙述转化为数学符号。 * **S02：实数性质**：学习数轴、绝对值、实数的加减乘除运算、分配律，以及合并同类项。 * **S03：解线性方程**：教授如何使用加减乘除法解方程，包括多步方程、方程两边都有变量的方程，以及比例、率和百分比的应用。 * **S04：线性方程与函数图**：介绍坐标平面、绘制线性方程图，包括水平线、垂直线、截距法、斜率、直接变异以及斜率-截距式，并探讨函数与关系。 * **S05：写线性方程**：学习斜率-截距式、点斜式、标准形式，理解如何根据两点写出线性方程，以及平行线和垂直线的概念。 * **S06：线性不等式求解与图**：讲解一元一次不等式的求解（包括多步和复合不等式），绝对值方程和不等式的解法，以及两变量线性不等式的图示。 * **S07：线性方程组与不等式组**：学习线性方程组的图解法、代入法、消元法，以及线性方程组在解决实际问题中的应用，并介绍特殊类型的方程组和线性不等式组。 * **S08：指数与指数函数**：涵盖指数的乘法性质、零指数和负指数、指数函数的图、指数的除法性质、科学记数法，以及指数增长和衰减函数。 * **S09：二次方程与二次函数**：学习平方根、通过平方根求解二次方程、简化根式、二次函数图、通过图解和二次公式求解二次方程，以及判别式的应用，还包括二次不等式的图示。 * **S10：多项式与因式分解**：学习多项式的加减乘法、因式分解二次方程（包括特殊乘积和立方多项式）。 * **S11：有理表达式与方程**：涉及比例、直接变异与反变异、简化有理表达式、有理表达式的乘除、同分母和异分母有理数的加减，以及有理方程的解法。 * **S12：根式、距离与中点公式**：教授包含平方根的函数、根式运算、求解根式方程、有理指数、配方法，以及距离和中点公式。 通过本课程的学习，您将能够熟练掌握代数一的各项知识，为后续学习做好充分准备。
Algebra 1 Made Simple!To maximize your learnings is to know the easiest way. Go at your own pace. Straight to the point, practical, short, and crystal clear teaching style. There are a total of 12 sections and 80 video lessons. Each lesson has concepts and step by step solutions to several math problems. Here is the Algebra 1 Made Simple! curriculum:S01- Brief Review of Pre-AlgebraS01 L01- Variables in AlgebraS01 L02- Exponents and PowersS01 L03- Order of OperationsS01 L04- Equations and InequalitiesS01 L05- Translating Words into Mathematical SymbolsS02- Properties of Real NumbersS02 L01- The Real Number LineS02 L02- Absolute ValueS02 L03- Adding Real NumbersS02 L04- Subtracting Real NumbersS02 L05- Multiplying Real NumbersS02 L06- The Distributive PropertyS02 L07- Combining Like TermsS02 L08- Dividing Real NumbersS03- Solving Linear EquationsS03 L01- Solving Equations Using Addition and SubtractionS03 L02- Solving Equations Using Multiplication and DivisionS03 L03- Solving Multi-Step EquationsS03 L04- Solving Equations with Variables on Both SidesS03 L05- Ratios and RatesS03 L06- PercentsS04- Graphing Linear Equations and FunctionsS04 L01- The Coordinate PlaneS04 L02- Graphing Linear EquationsS04 L03- Graphing Horizontal and Vertical LinesS04 L04- Graphing Lines Using InterceptsS04 L05- The Slope of a LineS04 L06- Direct VariationS04 L07- Graphing Lines Using Slope-Intercept FormS04 L08- Functions and RelationsS05- Writing Linear EquationsS05 L01- Slope-Intercept FormS05 L02- Point-Slope FormS05 L03- Writing Linear Equations Given Two PointsS05 L04- Standard FormS05 L05- Perpendicular LinesS06- Solving and Graphing Linear InequalitiesS06 L01- Solving Inequalities Using Addition or SubtractionS06 L02- Solving Inequalities Using Multiplication or DivisionS06 L03- Solving Multi-Step InequalitiesS06 L04- Solving Compound Inequalities Involving "And"S06 L05- Solving Compound Inequalities Involving "Or"S06 L06- Solving Absolute-Value EquationsS06 L07- Solving Absolute-Value InequalitiesS06 L08- Graphing Linear Inequalities in Two VariablesS07- Systems of Linear Equations and InequalitiesS07 L01- Graphing Linear SystemsS07 L02- Solving Linear Systems By SubstitutionS07 L03- Solving Linear Systems By Linear CombinationsS07 L04- Linear Systems and Problem SolvingS07 L05- Special Types of Linear SystemsS07 L06- Systems of Linear InequalitiesS08- Exponents and Exponential FunctionsS08 L01- Multiplication Properties of ExponentsS08 L02- Zero and Negative ExponentsS08 L03- Graphs of Exponential FunctionsS08 L04- Division Properties of ExponentsS08 L05- Scientific NotationS08 L06- Exponential Growth FunctionsS08 L07- Exponential Decay FunctionsS09- Quadratic Equations and FunctionsS09 L01- Square RootsS09 L02- Solving Quadratic Equations by Finding Square RootsS09 L03- Simplifying RadicalsS09 L04- Graphing Quadratic FunctionsS09 L05- Solving Quadratic Equations by GraphingS09 L06- Solving Quadratic Equations by the Quadratic FormulaS09 L07- Using the DiscriminantS09 L08- Graphing Quadratic InequalitiesS10- Polynomials and FactoringS10 L01- Adding and Subtracting PolynomialsS10 L02- Multiplying PolynomialsS10 L03- Solving Quadratic Equations in Factored FormS10 L04- Factoring TrinomialsS10 L05- Factoring Special ProductsS10 L06- Factoring Cubic PolynomialsS11- Rational Expressions and EquationsS11 L01- ProportionsS11 L02- Direct and Inverse VariationS11 L03- Simplifying Rational ExpressionsS11 L04- Multiplying and Dividing Rational ExpressionsS11 L05- Adding and Subtracting with Like DenominatorsS11 L06- Adding and Subtracting with Unlike DenominatorsS11 L07- Rational EquationsS12- Radicals, Distance and Midpoint FormulasS12 L01- Functions Involving Square RootsS12 L02- Operations with Radical ExpressionsS12 L03- Solving Radical EquationsS12 L04- Rational ExponentsS12 L05- Completing the SquareS12 L06- The Distance and Midpoint FormulasThe course will help you become an expert in Algebra 1 and prepare you for more challenging math courses such as Geometry and Algebra 2. Please enroll today!
