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所在平台: Udemy |
课程主页: https://www.udemy.com/course/number-and-algebra-3-singapore/
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课程名称：以新加坡方式学习数字与代数（第三部分） 课程概述： 本课程旨在以新加坡方式教授数字与代数的相关知识，内容由具有多年本地中学数学教学经验的课程专家和前新加坡教育部（MOE）数学教师设计。课程结构基于2021年新加坡GCE O Level 4048数学大纲，帮助学生全面掌握数学概念。 课程学习设计： 为了让您或您的孩子充分理解数学概念，我们的课程设计包含以下几个部分： 1. 概念桥接：解释重要概念的推导或衍生过程，鼓励学生认真学习以理解核心概念。 2. 例题解析：通过逐步讲解和应用所学内容的具体问题，帮助学生从零基础理解相关主题。 3. 练习题：提供额外的练习题，以进一步巩固和测试理解能力，其中包括一些高阶思维（HOT）问题。 4. 关键步骤：提供解题技巧和指导，帮助学生更好地应对问题。 5. 实践问题：提供额外的数学问题供学生练习所学内容，建议先下载练习题完成后，再观看视频解答以最大化练习的效果。 每个部分都包含需下载的课程笔记，供学生在学习之前参考。该课程包括两个单元（共19个部分）： 单元6 函数与图形 1. 二维坐标系 2. 有序对的图形作为两个变量之间关系的表示 3. 线性函数 4. 线性函数的图形 5. 线性图形的斜率 6. 在图纸上绘制直线 7. 二次函数及其性质的图形 8. 绘制二次函数的图形 9. 幂函数的图形 10. 指数函数的图形 11. 实践（幂函数和指数函数的图形） 12. 通过绘制切线估算曲线的斜率 单元7 方程与不等式 13. 通过图形法、消元法和代入法解两个变量的线性方程组 14. 实践（线性方程组） 15. 解含有代数分数的方程 16. 通过因式分解、完成平方、公式和图形法解一元二次方程 17. 解可简化为二次方程的简单分数方程 18. 公式化方程以解决问题 19. 解一元线性不等式，并在数轴上表示解 本课程将帮助学生在数字与代数领域扎实基础，提升数学思维能力。
Learn Number and Algebra (Part 3) the Singapore Way!Let us structure the learning for you! Our Math learning content is designed by curriculum specialists and former Singapore Ministry of Education (MOE) Mathematics teachers with years of experience teaching Maths in our local secondary schools. The structure of the lessons is based on the Singapore GCE O Level 4048 Mathematics Syllabus (2021).Our Course Learning DesignTo help you/your child fully grasp mathematical concepts, we designed our course in the following way:Conceptual Bridging section is where we would explain how some important concepts are being deduced or derived. We will strongly encourage you not to skip it in order to understand certain core concepts.Worked Examples are questions during which we will slowly unpack and apply what you have learnt. Usually, we will guide students through by assuming that students have zero understanding of the topic before approaching the questions.Exercises are extra practice questions to further sharpen and test your understanding. Some questions here are HOT (Higher-Order-Thinking) questions.Essential Steps consist of tips and tricks or guides to help you to tackle a question.Practice Questions are extra Mathematics problems for you to practice on the topics that you have learnt. We encourage you to download the Practice worksheets first and attempt and complete them before watching the video solutions so as to maximise the benefit of the practice questions.Each section comes with lesson notes that you have to download to refer to before starting your lessons. For this course, the following 2 units are included (with 19 sections):Unit 6 Functions and Graphs1. Cartesian Coordinates in Two Dimensions2. Graphs of a set of ordered pairs as a representation of a relationship between two variables3. Linear Functions4. Graphs of Linear Functions5. Gradient of a Linear Graph6. Plotting of Straight Line on Graph Paper7. Graphs of Quadratic Functions and Their Properties8. Sketching the Graphs of Quadratic Functions9. Graphs of Power Functions10. Graphs of Exponential Functions11. Practice (Graphs of Power Functions and Exponential Functions)12. Estimation of the Gradient of a Curve by Drawing a TangentUnit 7 Equations and Inequalities13. Solving Simultaneous Linear Equations in Two Variables by Graphical, Elimination and Substitution Method14. Practice (Simultaneous Equations)15. Solving Equations involving Algebraic Fractions16. Solving Quadratic Equations in One Unknown by Factorisation, Completing The Square, Formula and Graphical method17. Solving Simple Fractional Equations that can be reduced to Quadratic Equations18. Formulating Equations to Solve Problems19. Solving Linear Inequalities in One Variable, and Representing the Solution on the Number Line
