1st lesson free
Aaron
- Price $52
- Answer 1h
$52/h
Contact
1st lesson free
- Algebra
- Trigonometry
- Geometry
- Logic
Algebra with 5 years of experience, covering quadratic equations, discriminants, roots, and their graphical representations for high school and early college.
- Algebra
- Trigonometry
- Geometry
- Logic
Lesson location
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At Aaron's house: Canberra
- online
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at home or in a public space : will travel up to 20km from Canberra
-
About Aaron
Algebra tutor with 5 years of experience teaching high school and early college students. Have taught around 200 students, helping many achieve top grades in algebra and related courses. I am known for my patient and structured teaching style, and I provide comprehensive notes, practice worksheets, and revision materials. I am committed to helping you build confidence and excel in your studies.
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About the lesson
- All Levels
- English
All languages in which the lesson is available :
English
My teaching approach for Algebra is built on conceptual understanding and problem-solving fluency. I begin by explaining the standard form of quadratic equations and their significance in mathematics. I teach various methods to solve quadratic equations, including factorization, completing the square, and the quadratic formula. I emphasize the role of the discriminant in determining the nature of roots, such as real and distinct, real and equal, or complex roots, and explain how to interpret these results graphically. I use graphing techniques to show how the roots correspond to the x-intercepts of the parabola, and how the vertex and axis of symmetry relate to the coefficients. I also cover word problems involving quadratic equations, such as projectile motion, area optimization, and profit-loss scenarios. I provide step-by-step derivations and encourage students to practice each method extensively. I assign homework that includes a mix of routine problems, application-based questions, and challenging problems that require deeper analysis. I conduct weekly quizzes to track progress and identify areas that need reinforcement. I also provide tips for avoiding common mistakes, such as sign errors in factorization or misapplication of the quadratic formula. I maintain a detailed progress log for each student and adapt my teaching pace based on individual learning curves. I also integrate visual tools like graphing calculators and online plotting software to help students visualize quadratic functions and their properties. My goal is to ensure you master quadratic equations and develop a strong foundation for advanced algebra and calculus.
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Rates
Price
- $52
Pack prices
- 5h: $260
- 10h: $520
online
- $52/h
free lessons
The first lesson with Aaron will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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