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代數導論:概念與技術

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玩
Paynton Foulger BSc (Hons) PGCE
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5.0
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(2)
Outschool 新內容
本課程介紹代數,涵蓋因式分解、解線性和二次方程式以及不等式等概念。非常適合尋求掌握基礎知識和應用代數技術的學習者。
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課堂經歷

英語程度 - 未知
美國等級 6 - 9
遵循 Teacher-Created 課程
10 lessons//5 Weeks
 Week 1
Lesson 1
The Rules of Algebra
This lesson provides a comprehensive guide to the fundamental rules and principles of algebra. Learners will explore various algebraic concepts, including properties of operations, solving equations, and working with expressions.
Lesson 2
Single Brackets
This lesson provides a comprehensive understanding of algebraic expressions involving single brackets. Learners will explore key concepts such as expanding, simplifying, and solving equations that include single brackets, developing a strong foundation in algebraic manipulation.
 Week 2
Lesson 3
Factorising
This lesson provides a comprehensive guide to factorising algebraic expressions. Suitable for beginners and those needing a refresher, the lesson covers essential methods and examples to help you master the art of factorising.
Lesson 4
Solving Linear Equations
This lesson covers the fundamentals of solving linear equations in algebra. Students will learn key concepts, techniques, and strategies to effectively isolate variables, utilize algebraic principles, and verify solutions.
 Week 3
Lesson 5
Double Brackets
This lesson is designed to build a strong foundation in understanding and solving problems involving double brackets in algebra. You will learn the concept, techniques, and practical application through engaging lessons and practice problems.
Lesson 6
Factorising Quadratics
This lesson provides an in-depth look at factorising quadratic equations, a fundamental skill in algebra. Learn key concepts, methods, and techniques to understand how to break down complex quadratics.
 Week 4
Lesson 7
Solving Quadratic Equations
Dive into the world of quadratic equations. This lesson will guide you through understanding, solving, and applying quadratic equations, enhancing your mathematical skills with thorough explanations and practical examples.
Lesson 8
Simultaneous Equations
This lesson provides an in-depth look at simultaneous equations in algebra. Learn the fundamental concepts, methods of solving, and practical applications of these equations. Designed for students and enthusiasts, this lesson will equip you with the knowledge and skills to tackle simultaneous equations with confidence.
 Week 5
Lesson 9
Inequalities
This lesson provides a comprehensive understanding of algebraic inequalities. The lesson covers a range of topics from basic inequalities to complex systems of inequalities.
Lesson 10
Overview of all Lessons
An in-depth look at fundamental algebra concepts including variables, equations, functions, and inequalities that are covered in the course, practical examples and questions included. A chance for learners to ask any questions they may need help with.
  • Learners will be able to recognise technical terms and appreciate some of the uses of algebra.
  • Learners will be able to collect like terms and simplify expressions term by term.
  • Learners will be able to multiply out brackets.
  • Learners will be able to simplify some formulas.
  • Learners will be able to solve simple linear equations.
I began tutoring mathematics on a one-to-one basis at the age of seventeen while pursuing my A-Levels. This experience ignited my passion for teaching. Subsequently, I joined a company where I taught small groups of fifteen and sixteen-year-olds in preparation for their exams. Even during my university studies in mathematics, I continued tutoring one-to-one. Upon completing my bachelor's degree, I pursued a postgraduate degree in primary education (ages 4-11) with a specialisation in mathematics.

I held a position in a school where I led the tutoring program. I conducted webinars and training sessions for this role, organising engaging activities in mathematics and writing for students.

Additionally, I worked as a class teacher for seven and eight-year-olds, teaching all subjects in the UK national curriculum for two years. I also served as a cover teacher and head of tutoring at another school for an additional two years, where I coordinated and planned small groups to provide maths assistance.
0 - 1 每週課外時間
Homework
頻率: 包括
回饋: 包括
細節:
Progress Report
頻率: 包括
細節: After each lesson, a summary of the student's learning will be provided to both the learner and the learner's adult.
Certificate of Completion
頻率: 包括
細節: Learners will receive a certificate of completion after the last lesson of the course.
Printable worksheets will be accessible the day before every lesson, and students will also need a pencil or pen and paper.
已加入 May, 2024
5.0
2評論
Outschool 新內容
教師檔案
教師專業知識和證書
非美國 教學證書
學士學位 in 數學 from University of Greenwich
Hello! I am Paynton, and I am truly passionate about mathematics. Throughout my journey, I have not only gained knowledge in mathematics through my own education but also had the privilege of teaching it to others. Having taught various subjects... 

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團體課

US$38

每週或US$190 用於 10 課程
每週上課 x 2 次, 5 週
50 分鐘

即時視訊會議
年齡: 11-14
2-10 每班學員人數

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