|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/understanding-igcse-and-gcse-math/
课程评论：没有评论
课程名称：理解GCSE/IGCSE（9-1）数学 课程概述： 本课程旨在帮助GCSE和IGCSE数学（0580及O级）学生，同时也欢迎其他考试委员会的学生参与。课程采用非正式的教学风格，尽量使每一步的计算易于理解。希望学习者能享受学习的过程。课程中将讲解多种解题方法，以便于理解，确保学习者能够掌握该学科的知识。 特别之处： 学习者将在不同的学习阶段掌握知识，例如：在数字部分和代数部分学习直接和间接变换。代数及图形部分将教授如何解线性方程和二次方程。课程提供手写示范、注释等，帮助学习者在数字、代数、图形和方程方面打下坚实的基础。 课程内容包括： 1) 数字部分 I：基础整数、整数问题、最大公因数和最小公倍数、分数、百分比基础等。 2) 数字部分 II：比较、指数、无理数、四舍五入、标准形式等。 3) 比例、比例与百分比及反比例、距离速度与时间等问题。 4) 代数部分：代数基础介绍、翻译表达式、代数操作、解方程、因式分解等。 5) 图形部分：坐标系、方程图像、速度时间图、二次图形等。 6) 几何部分 I：无量角器构造角、三角形构造及其性质等。 课程致力于通过逐步解析的教学方法，让学习者在解决问题时能更自信、更灵活。欢迎学习者在学习过程中进行反馈和建议，感谢大家的支持与爱。
Though this course is designed for GCSE & IGCSE Math (0580 & O level) students, other board students can also be benefited by this course. Style adopted is informal way of teaching. Every effort is made to make calculation understandable at every step. Hope learners will enjoy. Many methods to solving questions are explained for convenience of understanding. Learners will get grip on the subject.Special about this course: Learner learns at different step.For example:Learner learn direct, indirect variation in number section and in algebra section too.Solving equation whether linear or quadratic equation, you get to learn in algebra & graph section both.Very strong grip on numbers, algebra, graphs and equation. Instructor have tried to demonstrate every step by providinghand written demonstration, annotation, etc. This course Up-to now includes Numbers, Algebra, Graphs & Geometry- I. Contents are as follows:1) Numbers I: Basics Integer Integer Questions Multiple Factors, HCF & LCM-Fraction I * Decimal Fraction II Fraction & Decimal Order of Operation (BIDMAS) Brackets in Integers Percentage Basics -Basic Algebra * Recurring Decimal'*' marked are important topics for word problems. Understanding fraction & basic algebra will help to get better grip on subject topics included in Number-3 section.2) Numbers II: Comparing, Indices, Surds, Rationalizing Surds, Rounding, Standard form, Upper & Lower BoundsComparing symbols & line representationComparing decimal, fraction & percentageSquare and square root, Cube and cube rootIndices/Exponents - I (with full Explanation which will help later on in algebra) Indices/Exponents/Surds - II Brackets in Surds-Problems: Surds & Rationalizing surds (2 methods: fast way explained)Standard form representationRoundingUpper bound and lower bound-Problems: Bound, rounding to nearest decimal place/significant place Accuracy and Bounds - with Problems 3) Ratio, Proportion, Percentage & Reverse, Direct Indirect Proportion, Distance Speed & Time, Comparing word problems Ratio Introduction and brief ideaRatio: easy way -Problems: Ratio -Problems & Proportion explanationProfit & reverse percentage: with or without learning formula ( Percentage series: total 2-3 methods explained)Rate of increase percentage -Problems: Loss, decrease & increase percentage (just use multiplying factor for series increase & decrease)Compound interest (with or without using formula & full explanation how formula is built)Exponential growth of population/bacteria Simple interestReverse simple interest Percentage (of-as explanation and problems)Increase and decrease PercentageConversion of currency, distance, time & speedDistance, speed & time (with or without formula )Direct & indirect variation/proportion ( Total 2 methods explained: one in this part & other in Problem video)-Problems: Direct & indirect variation/proportion (easy shortcut method with full explanation)-Problems: Comparing word problems (ratio, percentage & comparing better value for money): fast method saves your time"-" marked (Bold) include problems (in series, one after another). 4) Algebra: Algebra - Rough IntroAlgebra - Translating Statement to expressionAlgebra AdditionAlgebra SimplificationAlgebra - MultiplicationAlgebra - Division Algebra - Indices IAlgebra - Indices IISingle Bracket- I Single Bracket- II Simplifying equation I Simplifying equation II Simultaneous equation III Property of equation IV Solving equation V Formula Making subject I Making subject II Word problem- Linear equation in One variable Word problem- Linear equation in two variable I Word problem- Linear equation in two variable II Word problem- Linear equation in two variable III Double brackets Simple factorization Factorization - Quadratic Expression I Factorization- Quadratic Expression II Factorization - Quadratic Expression III Factorization by using Identities IV Factorization V Solving Quadratic equation Quadratic equation Formula Word Problems- Quadratic Equation Direct indirect Question direct indirectRational expression I Rational expression II Rational expression III Inequality - I Inequality - II Function, Domain and Range Problems on functions Composite functions Question on Composite functions Inverse function Question on Inverse function Question on Composite functions Composite inverse function nth Term of the Sequence Linear Sequence Geometric Sequence Quadratic sequence I (First Method) Quadratic sequence II (Second Method) Quadratic sequence III Cubic sequence I (First Method) Cubic sequence II (Second Method)5) GraphsCoordinate system- IntroductionRepresenting Coordinates on graph paperPlotting graphs of equationsEquation on graph paperFinding solution graphicallyFinding solution algebraically & graphicallyDifferent types of solutionsRate of change or SlopeDistance-Time graphProblem on distance-time graph - IProblem on distance-time graph - IISpeed-Time graphAcceleration and deceleration graphProblems on rate of change or slopeA equation = slope.x+ cProblem on speed time graph - 3Average speed-IntroProblems on average speedDirect variation graphIndirect variation graphIntercept of any graphOverview quadratic graphPlotting quadratic graph -IPlotting quadratic graph -IIPlotting quadratic graph -IIIQuadratic graph Intercept (cut on axis) Finding quadratic equation by graphLinear & non linear graph (Solving algebraically & graphically)Simple - use graph to solve different equationsProblem on quadratic graphCubic graph and problemsWrite cubic equation for a cubic graphReciprocal graphExponential graphTranslation of graph in y directionTranslation of graph in x directionTurning pointProblem on turning pointReflection of graph in x axisReflection of graph in y axisStretch of graph parallel to y axisStretch of graph parallel to x axisInequalities - IInequalities - IIInequalities - IIIQuadratic inequalities Solving quadratic inequalities algebraically6) Geometry - IConstruction of 60 degree angle without protectorConstruction of 90 & 45 degree angle without protectorConstruction of 120 degree angle with ruler & compassConstruction of 60 & 30 degree angle without protectorAngles bisector with compass & rulerConstruction trianglesPerpendicular bisectorEquidistant from pointsEquidistant points inside a rectangleEquidistant points inside a HexagonFinding required regionConstructing SquareConstructing rhombusDivide a line in 5:3Constructing a HexagonConstructing TangentsConstructing right angle isosceles triangleConstructing triangle (application of perp. bisector)Constructing triangle (application of angle bisector)Revision - geometryBisectors and trianglesParallel lines and anglesQuestion on parallel lines and angles - IQuestion on parallel lines and angles - IIProperties of a triangleQuestions on angles of a triangle - ISum of exterior angles of triangleQuestions on angles of a triangle - IISum of angles of a quadrilateralSum of exterior angles of a quadrilateralSum of angles of a polygonAngles of a regular polygonSum of exterior angles of any polygonScale & scale drawingsBearingsLearners can write in messages for any suggestion or any feedback for this course. Messages are most welcome!- Thank you to all for their love and support.
