English

### Introduction to Algebra: Concepts and Techniques

Paynton Foulger BSc (Hons) PGCE
Average rating:
5.0
Number of reviews:
(3)
New on Outschool
This course provides an introduction to algebra, covering concepts such as, factorizing, solving linear and quadratic equations, and inequalities. Ideal for learners seeking to master the basics and and apply algebraic techniques.

#### Class Experience

###### Follows Teacher-Created Curriculum
10 lessons//5 Weeks
`.css-8atqhb{width:100%;}.css-9tf9ac{margin-bottom:1em;}.css-g8s3lw{display:grid;grid-gap:0;grid-template-columns:96px 1fr;margin-top:0rem;} .css-1ak6lo7{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;border-bottom:1px solid;border-color:#E0E0E0;color:#5C5C5C;padding:0 0 5px 16px;}@media (max-width:767.95px){.css-1ak6lo7{padding:0 0 5px 8px;}}Week 1.css-199df33{display:grid;grid-template-columns:96px 1fr 40px;grid-gap:16px;padding-top:8px;}@media (max-width:767.95px){.css-199df33{grid-template-columns:96px 1fr 28px;grid-gap:8px;}}.css-12h69r9{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#004a77;line-height:24px;font-weight:700;}Lesson 1.css-t78n9j{color:#1A1a1a;}The Rules of Algebra.css-kf9gkg{color:#5C5C5C;margin-top:12px;height:0;display:none;}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..css-1ngtilx{cursor:pointer;padding:0 4px;}.css-v481rw{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;height:24px;}Lesson 2Single BracketsThis 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..css-1t0ni75{display:grid;grid-gap:0;grid-template-columns:96px 1fr;margin-top:28px;} Week 2Lesson 3FactorisingThis 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 4Solving Linear EquationsThis 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 3Lesson 5Double BracketsThis 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 6Factorising QuadraticsThis 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 4Lesson 7Solving Quadratic EquationsDive 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 8Simultaneous EquationsThis 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 5Lesson 9InequalitiesThis lesson provides a comprehensive understanding of algebraic inequalities. The lesson covers a range of topics from basic inequalities to complex systems of inequalities.Lesson 10Overview of all LessonsAn 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.```
`.css-itpm5d{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-bottom:0.5em;margin-left:2px;}.css-1jafuj7{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;margin-right:0.5em;margin-top:0.2em;color:#5C5C5C;}.css-1757vrz{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;color:#5C5C5C;}0 - 1 hours per week outside of class.css-1il00e6{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;gap:1em;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}.css-1do1xce{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-align:center;width:1.25em;color:#368139;margin-right:0.5em;margin-top:0.2em;}.css-4j7l6r{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;}Homework.css-l2z0vi{margin-top:0.5em;}.css-qg6uxs{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;font-weight:700;}Frequency: includedFeedback: includedDetails: Progress ReportFrequency: includedDetails: After each lesson, a summary of the student's learning will be provided to both the learner and the learner's adult.Certificate of CompletionFrequency: includedDetails: 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.`
Joined May, 2024
5.0
3reviews
New on Outschool
Profile
##### Teacher expertise and credentials
###### Bachelor's Degree.css-1x99zyk{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;} in Mathematics 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... .css-1adpekj{font-size:1.6rem;font-weight:500;line-height:100%;}.css-1nkf8x8{position:relative;display:inline-block;font-family:'Ginto Normal',sans-serif;font-style:normal;font-weight:500;font-size:1.6rem;text-align:center;text-transform:none;height:auto;max-width:100%;white-space:nowrap;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;outline:none;border:none;background:none;padding:0;-webkit-transition:all ease-in-out 0.05s,outline 0s,;transition:all ease-in-out 0.05s,outline 0s,;line-height:1;color:#380596;font-size:1.6rem;font-weight:500;line-height:100%;}.css-1nkf8x8:hover:not(:disabled),.css-1nkf8x8:focus:not(:disabled){color:#380596;-webkit-text-decoration:underline;text-decoration:underline;}.css-1nkf8x8:active:not(:disabled){color:#380596;}.css-1nkf8x8:disabled{color:#C2C2C2;cursor:default;}.css-1nkf8x8:focus-visible{outline-width:2px;outline-style:solid;outline-color:#4B01D4;outline-offset:2px;}`

#### \$38

weekly or \$190 for 10 classes
2x per week, 5 weeks
50 min

Live video meetings
Ages: 11-14
2-10 learners per class