[Hourly Lessons] Algebra 1 and 2 | Flexible 1-on-1 Online Tutoring with Daisy Sun
About Course
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| NT$60,000+ | 20% | save60000 |
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Welcome!
Hi! I’m Daisy, a professional mathematics tutor with more than 16 years of teaching experience. I specialize in helping students develop strong mathematical foundations through clear explanations, personalized instruction, and carefully structured practice.
Whether you’re preparing for school exams, catching up on classroom material, or building confidence before taking higher-level mathematics courses, every lesson is tailored to your learning style, pace, and academic goals.
Lessons are available both online and in person (Taipei), providing flexible options that fit your schedule.
Subjects I Teach
Algebra 1
Algebra 2
Course Contents
Algebra 1
Algebra 1 establishes the foundation for all higher-level mathematics. Students develop confidence in algebraic reasoning, functions, graphing, and mathematical modeling while building the skills needed for Geometry, Algebra 2, SAT, ACT, and advanced high school mathematics.
1. Solving Linear Equations
Develop fluency solving equations while understanding the properties of equality and algebraic manipulation.
- One- and multi-step equations
- Variables on both sides
- Literal equations
- Word problems
2. Linear Inequalities
Solve and graph inequalities while interpreting solution sets in mathematical and real-world contexts.
- One-variable inequalities
- Compound inequalities
- Absolute value inequalities
- Applications
3. Graphing Linear Functions
Learn multiple representations of linear relationships using equations, tables, and graphs.
- Slope
- Slope-intercept form
- Point-slope form
- Rate of change
4. Writing Linear Functions
Construct linear models from graphs, tables, and real-world situations.
- Finding equations of lines
- Parallel and perpendicular lines
- Linear modeling
- Applications
5. Systems of Linear Equations
Solve systems using graphical and algebraic methods while interpreting intersections in context.
- Graphing systems
- Substitution
- Elimination
- Word problems
6. Exponential Functions and Sequences
Introduce exponential growth and recursive patterns that prepare students for Algebra 2.
- Exponential growth and decay
- Arithmetic sequences
- Geometric sequences
- Financial applications
7. Polynomials and Factoring
Build algebraic fluency through polynomial operations and common factoring techniques.
- Polynomial operations
- Greatest common factor
- Factoring trinomials
- Difference of squares
8. Quadratic Functions
Investigate quadratic relationships through graphs, equations, and mathematical modeling.
- Parabolas
- Vertex form
- Graph transformations
- Applications
9. Solving Quadratic Equations
Learn multiple techniques for solving quadratic equations while selecting the most efficient strategy.
- Factoring
- Completing the square
- Quadratic formula
- Discriminant
10. Radicals and Data Analysis
Conclude the course by introducing radical expressions and basic statistical reasoning.
- Square roots
- Radical equations
- Scatter plots
- Lines of best fit
Algebra 2
Algebra 2 expands students’ understanding of advanced algebraic concepts while preparing them for Precalculus, AP Calculus, SAT, ACT, and university-level mathematics. Students explore increasingly sophisticated mathematical models using functions, logarithms, probability, and trigonometry.
1. Functions
Study different families of functions and how they describe mathematical relationships.
- Function notation
- Domain and range
- Inverse functions
- Transformations
2. Complex Numbers
Extend the real number system by introducing imaginary and complex numbers.
- Imaginary unit
- Operations with complex numbers
- Complex solutions
- Applications
3. Polynomial Functions
Analyze higher-degree polynomial functions through algebraic techniques and graphing.
- Zeros and multiplicity
- Synthetic division
- Remainder theorem
- Graph behavior
4. Radical and Rational Functions
Investigate nonlinear functions involving radicals and rational expressions.
- Simplifying radicals
- Radical equations
- Rational expressions
- Asymptotes
5. Exponential and Logarithmic Functions
Model exponential growth and decay while exploring logarithms as inverse functions.
- Compound interest
- Growth and decay models
- Logarithm laws
- Logarithmic equations
6. Sequences, Series, and Probability
Develop mathematical reasoning using sequences, counting principles, and probability models.
- Arithmetic and geometric sequences
- Series
- Permutations and combinations
- Probability
7. Trigonometry
Introduce trigonometric functions and their applications in modeling periodic phenomena.
- Unit circle
- Graphs of sine and cosine
- Trigonometric identities
- Applications
8. Data Analysis and Statistics
Apply statistical methods to analyze real-world data and draw meaningful conclusions.
- Normal distributions
- Regression models
- Correlation
- Statistical interpretation
About Me
For more than sixteen years, I’ve helped students strengthen their mathematical skills through patient instruction, structured practice, and individualized lesson plans. I believe every student can succeed when concepts are explained clearly and learning progresses at the right pace.
What to Expect
- β Live one-on-one lessons
- β Online or in-person lessons in Taipei
- β Flexible scheduling
- β Personalized lesson plans
- β Homework support and exam preparation
- β Clear explanations with plenty of guided practice
Ready to Get Started?
Whether you’re looking to strengthen your algebra skills, prepare for upcoming exams, or build a solid mathematical foundation for future courses, I’d love to help. Book a trial lesson today and let’s make math easierβone concept at a time.
Course Content
Equations and Inequalities
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Properties of real numbers and algebraic expressions
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Linear equations and inequalities
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Absolute value equations
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Formula manipulation and problem solving
Linear Equations and Functions
Linear Systems and Matrices
Quadratic Functions and Factoring
Polynomials and Polynomial Functions
Rational Exponents and Radical Functions
Exponential and Logarithmic Functions
Rational Functions
Quadratic Relations and Conic Sections
Counting Methods and Probability
Data Analysis and Statistics
Sequences and Series
Trigonometric Ratios and Functions
Trigonometric Graphs, Identities, and Equations
Student Ratings & Reviews
