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课程主页: https://www.udemy.com/course/making-algebra-easy/
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课程名称:让代数变简单:代数 1 课程概述:本课程是一个完整的代数 1 教学,遵循共同核心州标准,适合任何遵循共同核心的州的学生。同时,本课程也特别与宾夕法尼亚州的基石考试标准相一致,并包含开放式问题的练习,以帮助学生为考试做好准备。无论是学习新的内容、复习还是提高代数技能,这门课的目标是让代数变得简单,或者至少容易一些。 课程内容包括视频教程和带有详细解答的练习测验。学生可以通过观看视频学习主题,之后尝试练习测验以检测理解能力,并利用注解的答案键查看不清楚的问题的详细解答。 主要主题涵盖包括但不限于: - 整数的意义及其乘法/除法 - 整数的加减及相关故事问题 - 有理数与无理数 - 实数的顺序及运算顺序 - 变量表达式的翻译与代入法 - 合并同类项与分配率 - 解一元一次方程与不等式 - 二元一次方程的解法及应用 - 坐标平面的基本知识及图形分析 - 线性方程的图形表示及其应用 - 指数法则及多项式相关内容 - 线性方程组的解法及相关的故事问题 - 概率与数据分析基础 此外,本课程还提供24个开放式问题练习和8个章节复习测验,以帮助学生综合复习和巩固所学知识。针对宾夕法尼亚的学生,本课程不仅遵循PA基石考试标准,还将推出对应的复习课程。
This is a complete Algebra 1 course. It's aligned to the Common Core State Standards, so it is appropriate for students in any Common Core state. It is also specifically aligned to the Pennsylvania Keystone Exam Standards (and has open-ended response items to help prepare for that as well). While these are helpful ways to practice with showing thought process for any student, it is particularly useful for PA students to get used to the open-ended formats and types of questions seen on the Keystone Exam.Use this course to learn, re-learn, or improve Algebra skills. It's meant to Make Algebra Easy! Or at least easier.Each topic includes a video lesson & practice "quiz" with answer explanations.The idea is for you to start by watching the lesson. Then try the practice quiz to test your understanding. Then visit the annotated answer key to see the detailed work for any questions that you were not sure about. Topics included: Meaning of Integers & Multiplication/Division with IntegersAdding & Subtracting Integers & Integer Word ProblemsRational & Irrational NumbersOrdering Real Numbers Order of Operations Part 1Order of Operations Part 2Translating Variable Expressions Using KeywordsTranslating Variable Expressions Using ContextSubstitution Substitution Word ProblemsCombining Like TermsDistributive Property Simplify Algebraic Expressions Properties of Algebra Basics of InequalitiesSolving One-Step Equations One-Step Equation Word Problems Solving One-Step Inequalities One-Step Inequality Word Problems Solving Two-Step Equations Two-Step Equation Word Problems Interpreting Components of Expressions and Equations Solving Two-Step Inequalities Two-Step Inequality Word Problems Solving Multi-step Equations Applications for Multi-step Equations Solving Multi-step Inequalities Determining the Number of Solutions to an Equation Compound Inequalities Part 1: Basics & Graphing Compound Inequalities Part 2: Writing the Inequality from the GraphCompound Inequalities Part 3: Solving Absolute Value EquationsAbsolute Value Inequalities Part 1Absolute Value Inequalities Part 2Solving Literal EquationsBasics of the Coordinate PlaneGraphs with ContextAnalyzing Trends in Graphs Types of Slope & Slope from a Graph (rise over run)Slope FormulaProblem Solving with SlopeExtra Challenge Problem Video: Problem solving with slopeUsing Substitution with Linear EquationsMeaning of InterceptsLinear Word Problems PracticeGraphing Lines in Slope-Intercept Form Part 1Graphing Lines Part 2: Include Horizontal & Vertical LinesWord Problems in Slope- Intercept FormLinear Word Problems in Standard FormComparing Slope-Intercept and Standard FormsGoing from Standard to Slope-Intercept FormEquation of a line in Point-Slope Form Part 1Part 2: Going from Point Slope to Slope-Intercept FormPart 3: Writing the equation in Slope-Intercept Form from 2 PointsWriting the Equation of a Line from a GraphWriting the Equation of a Line from a TableProblem Solving with the Equation of a LineRules for Multiplying with ExponentsRules for Dividing with ExponentsPower to Power RuleNegative ExponentsPractice with All Exponent RulesSimplify Radicals Part 1Simplify Radicals Part 2Simplifying and Naming PolynomialsMultiplying PolynomialsArea & Perimeter with PolynomialsFactoring Trinomials Part 1Factoring Trinomials Part 2Factoring Difference of Two Squares PatternFactoring with GCFReview of Factoring - All MethodsSimplifying Rational Expressions Part 1Simplifying Rational Expressions Part 2Systems of Equations: Meaning and Number of SolutionsSolve Systems by Graphing Solve by Linear Combination Part 1 Solve by Linear Combination Part 2Solve by Linear Combination Part 3 Using LCMSolve by Substitution Part 1Solve by Substitution Part 2Solving Systems: Review & Practice with All MethodsIntro to Systems of Equation Word Problems (MC)Solving Word Problems with Systems of Equations Part 1Solving Word Problems with Systems of Equations Part 2Graphing Linear Inequalities Graphing Systems of Linear Inequalities Writing Linear Inequalities and Systems of Linear Inequalities Meaning of Solutions to Systems of Linear Inequalities Functions and the Vertical Line Test Functions: Ordered Pairs & TablesDomain & Range Part 1Domain & Range Part 2Piecewise FunctionsBasics of Scatterplots and Types of CorrelationsScatterplots and Line of Best Fit Measures of Central Tendency Part 1Measures of Central Tendency Part 2Bar Charts & Pie GraphsBox and Whisker Plots Part 1Box and Whisker Plots Part 2Box and Whisker Plots Part 3Basics of ProbabilityProbability: Independent & Dependent EventsAdditional Review materials:24 Open-ended Response Practice Assignments. (Each one is a multi-part. Each one has an annotated answer key that you can review to check your work when you are finished.)8 Chapter Review Quizzes (One at the end of each chapter to provide mixed practice of all topics.)Pennsylvania students: Our Algebra 1 courses are aligned to the PA Keystone Exam as well as the Common Core State Standards. We'll also be adding an Algebra 1 Keystone Exam review course soon!