|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/gcse-maths-revision-2023-algebra/
课程评论：没有评论
课程名称：GCSE数学复习高级水平（代数） 课程概述： GCSE数学复习（适用于7-9年级的代数主题）专为正在学习GCSE或IGCSE数学的学生而设。如果您的孩子正在为GCSE高级数学考试做准备，或是参加国际GCSE数学高级考试，想要在即将到来的考试中复习和掌握所有代数主题，那么这个课程非常适合您。该课程同样适合希望重考GCSE以获取更高教育机会的成人。课程内容覆盖GCSE数学中的所有数字内容，并适用于所有主流考试委员会，包括Edexcel、OCR和AQA。 课程主要内容包括： - 代数操作与公式：学习如何扩展三重括号及排列各种公式，以便改变主题。 - 二次式因式分解：学习如何将二次表达式因式分解为两个括号。 - 二次方程求解：通过因式分解和二次公式求解方程。 - 完全平方：掌握完全平方法并与求解二次方程相联系。 - 代数分数：学习如何进行代数分数的加减乘除及简化。 - 涉及分数的方程求解：处理线性方程和二次方程的分数形式。 - 联立方程：同时求解线性方程和二次方程。 - 直线方程：学习如何找出直线的斜率及两个坐标的方程。 - 算术数列与系列：回顾算术数列的第n项及有限算术系列的求和公式。 - 微积分（导数）：学习多项式的导数步骤及相关应用。 - 函数：学习函数的输入输出及如何找到反函数和复合函数。 - 代数证明：使用代数表达式来证明某些陈述或恒等式。 - 图形变换：掌握二次函数、三次函数等图形的变换和识别。 课程特色： - 视频课程：通过观看课程视频，解答各种类型的数学问题，从基础开始，逐步提升难度。 - 理解测试：在每个示例之后，提供机会通过相似问题检验理解程度。 - 嵌入式练习：每个视频包含练习题以增加解决问题的练习。 - 额外考试示例：分析近期考试问题，帮助学生适应考试风格及难度。 - 低风险小测验：每个部分结束后，进行短小的选择题测验，评估整体理解。 - 额外考试题册：完成部分后可以通过练习题册进行复习，题册中包含答案以供参考。 总之，此课程旨在帮助学生掌握GCSE或IGCSE数学复习中代数部分的所有重要概念，以期提高考试成绩。
GCSE Maths Revision for Grades 7-9 Algebra Topics is for anyone studying GCSE or IGCSE Maths:Is your child studying for their GCSE Higher Tier qualification in Mathematics?Are they entered for the International GCSE Maths Higher Tier examination?Want them revise and master all algebra topics in preparation for your GCSE / IGCSE examinations this summer?Are you an adult resitting your GCSE in order to access higher education?Want to cover the concepts that will push their grade up to a 7, 8 or 9?This course covers all the number content in GCSE Maths.The course is suitable for all major exam boards, including Edexcel, OCR and AQA.The main sections of the course are:- Algebraic Manipulation and Formulae- we learn how to expand triple brackets and arrange a variety of formulae in order to change the subject including when the subject appears twice.- Factorising Quadratics - we learn how to factorise quadratic expressions into two brackets including using the difference of two squares and by first taking an initial factor out.- Solving Quadratic Equations - we learn how to solve a quadratic equation by using the methods of factorising and the quadratic formula.- Completing the Square - we learn complete the square method and link this to solving quadratic equations.- Algebraic Fractions - we learn to work with algebraic fractions by multiplying, dividing, adding and subtracting algebraic fractions as well as learning to simplify using factorisation.- Solving Equations involving Fractions - we learn to solve both linear equations and quadratic equations that initially present fractions.- Simultaneous Equations - we focus on solving a quadratic equation and linear equation simultaneously.- Equations of Straight Lines - we learn to find the gradient of a line and the equation of a straight line using a diagram and separately 2 coordinates. We also discuss problems involving parallel gradients and perpendicular gradients.- Arithmetic Sequences and Series - we recap how to find the nth term of an arithmetic sequence and learn find the sum of a finite arithmetic series using the sum formula.- Calculus (Differentiation) - we learn the steps to differentiate and create the gradient equation for any polynomial. We also discuss problems involving tangents and normals to curves, stationary and turning points and the application of calculus to kinematics.- Functions - we learn how to use inputs and outputs with various functions. We also learn how to find the inverse of a function and how to create composite functions.- Algebraic Proof - we learn to work with algebraic expressions to prove certain statements and identities.- Transformations of Graphs - we learn to recognise graphs of quadratics, cubics, reciprocals, exponentials, circles and trigonometric functions. We learn how translation and stretching transformation standard functions and their graphs.What do you get in this course:Lesson Videos: Watch as I answer questions of every type of maths problem you can encounter in class. We start with the basics and maybe a recap of prior knowledge and gradually increase the difficulty of each problem so you build your confidence to attempt any question.'Test Your Understandings': After I have run through an example I give you the opportunity to assess your understanding by attempting one or two very similar questions. This way you learn by applying the knowledge immediately.Embedded Worksheets: In addition to the Test your Understanding questions, I have included exercises of questions within each video to give you even more practice at solving each type of problem.Extra Exam Examples: I've included a selection of recent exam questions to further discuss with you so that you become comfortable with the style of questioning and level of difficulty required.Additional Low Stakes Quiz: At the end of each section you can take a short multiple-choice quiz to test your overall understanding of the concepts discussed. These are a great indicators as to whether you completely understand a topic or if you need to revisit a lecture and to practice more questions in order to master a concept.Extra Exam Questions Booklet: Want even more practice? When you have finished a section you can review the entire topic by working through a selection of exam questions complete with answers.
