[Hourly Lessons] Algebra 1 and 2 | Flexible 1-on-1 Online Tutoring with Daisy Sun

About Course

Mathematics • Algebra • Personalized Learning

Build Stronger Math Skills, One Concept at a Time.

Hi! I’m Daisy, a professional mathematics tutor with more than
16 years of teaching experience. I help students develop strong
mathematical foundations through clear explanations, structured practice, and
personalized instruction.

Whether you’re struggling with a difficult topic, preparing for an exam, or getting
ready for more advanced mathematics, we’ll work at your pace and focus on building
both understanding and confidence.

Experience

16+ Years
of mathematics teaching

Subjects

Algebra 1 & 2
from foundations to advanced topics

Lesson Format

1-on-1
online or in person in Taipei

What I Teach

My lessons focus on the two core algebra courses that form the foundation for
higher-level mathematics, standardized tests, and future STEM coursework.

①

Algebra 1

Build a strong foundation in equations, functions, graphing, inequalities,
systems, polynomials, and quadratic relationships.

Linear Equations
Functions
Systems
Polynomials
Quadratics

②

Algebra 2

Extend algebraic thinking through advanced functions, complex numbers,
logarithms, sequences, probability, trigonometry, and statistics.

Functions
Complex Numbers
Logarithms
Trigonometry
Statistics

Course Contents

Explore the curriculum below. Each course can be taught from the beginning,
used for targeted review, or customized around the student’s current school syllabus.

Algebra 1

Algebra 1 establishes the foundation for higher-level mathematics by developing
algebraic reasoning, function analysis, graphing, and mathematical modeling.

1. Linear Equations

One- and multi-step equations
Variables on both sides
Literal equations
Word problems

2. Linear Inequalities

One-variable inequalities
Compound inequalities
Absolute value inequalities
Applications

3. Linear Functions

Slope
Slope-intercept form
Point-slope form
Rate of change

4. Writing Linear Functions

Equations of lines
Parallel and perpendicular lines
Linear modeling
Applications

5. Systems of Equations

Graphing systems
Substitution
Elimination
Word problems

6. Exponential Functions & Sequences

Exponential growth and decay
Arithmetic sequences
Geometric sequences
Financial applications

7. Polynomials & Factoring

Polynomial operations
Greatest common factor
Factoring trinomials
Difference of squares

8. Quadratic Functions

Parabolas
Vertex form
Graph transformations
Applications

9. Quadratic Equations

Factoring
Completing the square
Quadratic formula
Discriminant

10. Radicals & Data Analysis

Square roots
Radical equations
Scatter plots
Lines of best fit

Algebra 2

Algebra 2 expands mathematical thinking through more sophisticated functions,
algebraic models, logarithms, probability, and trigonometry while preparing
students for Precalculus and advanced mathematics.

1. Functions

Function notation
Domain and range
Inverse functions
Transformations

2. Complex Numbers

Imaginary unit
Operations with complex numbers
Complex solutions
Applications

3. Polynomial Functions

Zeros and multiplicity
Synthetic division
Remainder theorem
Graph behavior

4. Radical & Rational Functions

Simplifying radicals
Radical equations
Rational expressions
Asymptotes

5. Exponential & Logarithmic Functions

Compound interest
Growth and decay models
Logarithm laws
Logarithmic equations

6. Sequences, Series & Probability

Arithmetic and geometric sequences
Series
Permutations and combinations
Probability

7. Trigonometry

Unit circle
Sine and cosine graphs
Trigonometric identities
Applications

8. Data Analysis & Statistics

Normal distributions
Regression models
Correlation
Statistical interpretation

My Teaching Approach

01 · Understand

Break difficult concepts into clear, manageable steps instead of relying on memorization.

02 · Practice

Work through carefully selected problems with guidance until the method becomes natural.

03 · Apply

Connect mathematical ideas to unfamiliar problems, exams, and real-world situations.

About Me

For more than 16 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. My goal is not simply to help students
finish a worksheet, but to help them become more confident and independent
mathematical thinkers.

What to Expect

✓ Live one-on-one lessons

✓ Online or in-person lessons in Taipei

✓ Flexible scheduling

✓ Personalized lesson plans

✓ Homework support

✓ Exam preparation

✓ Clear explanations and guided practice

✓ Lessons adapted to your pace

Ready to Feel More Confident in Math?

Whether you’re catching up, preparing for an exam, or building a strong foundation
for future mathematics courses, we’ll work through it together—one concept at a time.

Book a trial lesson and let’s get started.

How to confidently solve equations and inequalities step by step
How to graph lines and interpret slopes and intercepts
Different methods to write linear equations
Strategies for solving systems of equations
The rules of exponents and operations with polynomials
Basic factoring techniques and how to solve simple quadratics
How to understand and work with functions and data displays

Course Content

Equations and Inequalities
Covers solving, simplifying, and modeling with equations and inequalities.

Properties of real numbers and algebraic expressions
Linear equations and inequalities
Absolute value equations
Formula manipulation and problem solving

Linear Equations and Functions
Explores linear relationships, slopes, and their graphical representations.

Linear Systems and Matrices
Focuses on solving systems of equations and matrix operations.

Quadratic Functions and Factoring
Examines quadratic equations, graphs, and solutions.

Polynomials and Polynomial Functions
Analyzes higher-degree functions and their zeros.

Rational Exponents and Radical Functions
Covers radicals, roots, and their functions.

Exponential and Logarithmic Functions
Explores exponential growth and decay, and logarithmic relationships.

Rational Functions
Investigates rational expressions and their graphs.

Quadratic Relations and Conic Sections
Studies advanced quadratic forms and geometric representations.

Counting Methods and Probability
Introduces discrete mathematics and probability theory.

Data Analysis and Statistics
Covers statistical measures and data interpretation.

Sequences and Series
Explores arithmetic, geometric, and recursive patterns.

Trigonometric Ratios and Functions
Introduces trigonometry through right triangles and radian measure.

Trigonometric Graphs, Identities, and Equations
Expands on trigonometric modeling and relationships.

Student Ratings & Reviews

No Review Yet

About Course

Build Stronger Math Skills, One Concept at a Time.

What I Teach

Algebra 1

Algebra 2

Course Contents

1. Linear Equations

2. Linear Inequalities

3. Linear Functions

4. Writing Linear Functions

5. Systems of Equations

6. Exponential Functions & Sequences

7. Polynomials & Factoring

8. Quadratic Functions

9. Quadratic Equations

10. Radicals & Data Analysis

1. Functions

2. Complex Numbers

3. Polynomial Functions

4. Radical & Rational Functions

5. Exponential & Logarithmic Functions

6. Sequences, Series & Probability

7. Trigonometry

8. Data Analysis & Statistics

My Teaching Approach

01 · Understand

02 · Practice

03 · Apply

About Me

What to Expect

Ready to Feel More Confident in Math?

What Will You Learn?

Course Content

Equations and Inequalities Covers solving, simplifying, and modeling with equations and inequalities.

Properties of real numbers and algebraic expressions

Linear equations and inequalities

Absolute value equations

Formula manipulation and problem solving

Linear Equations and Functions Explores linear relationships, slopes, and their graphical representations.

Relations, functions, and rate of change

Graphing and writing linear equations

Direct variation and scatter plots

Absolute value and linear inequalities in two variables

Linear Systems and Matrices Focuses on solving systems of equations and matrix operations.

Linear systems by graphing or algebraic methods

Systems in three variables

Matrix operations, determinants, and inverses

Solving systems using matrices

Quadratic Functions and Factoring Examines quadratic equations, graphs, and solutions.

Graphing in standard, vertex, and intercept forms

Solving by factoring, square roots, and quadratic formula

Operations with complex numbers

Writing quadratic models

Polynomials and Polynomial Functions Analyzes higher-degree functions and their zeros.

Polynomial operations and graphs

Factoring and solving polynomial equations

Remainder, factor, and fundamental theorems

Rational zeros and polynomial modeling

Rational Exponents and Radical Functions Covers radicals, roots, and their functions.

Rational exponents and properties

Inverse and radical functions

Graphs of root functions

Solving radical equations

Exponential and Logarithmic Functions Explores exponential growth and decay, and logarithmic relationships.

Graphs of exponential and logarithmic functions

Properties and applications of logarithms

Solving exponential and logarithmic equations

Modeling with exponential and power functions

Rational Functions Investigates rational expressions and their graphs.

Inverse and joint variation

Graphing simple and complex rational functions

Operations and equations with rational expressions

Quadratic Relations and Conic Sections Studies advanced quadratic forms and geometric representations.

Distance, midpoint, and circle equations

Parabolas, ellipses, and hyperbolas

Translations and classifications of conics

Quadratic systems of equations

Counting Methods and Probability Introduces discrete mathematics and probability theory.

Permutations, combinations, and binomial theorem

Basic probability concepts

Equations and Inequalities
Covers solving, simplifying, and modeling with equations and inequalities.

Linear Equations and Functions
Explores linear relationships, slopes, and their graphical representations.

Linear Systems and Matrices
Focuses on solving systems of equations and matrix operations.

Quadratic Functions and Factoring
Examines quadratic equations, graphs, and solutions.

Polynomials and Polynomial Functions
Analyzes higher-degree functions and their zeros.

Rational Exponents and Radical Functions
Covers radicals, roots, and their functions.

Exponential and Logarithmic Functions
Explores exponential growth and decay, and logarithmic relationships.

Rational Functions
Investigates rational expressions and their graphs.

Quadratic Relations and Conic Sections
Studies advanced quadratic forms and geometric representations.

Counting Methods and Probability
Introduces discrete mathematics and probability theory.

Data Analysis and Statistics
Covers statistical measures and data interpretation.

Sequences and Series
Explores arithmetic, geometric, and recursive patterns.

Trigonometric Ratios and Functions
Introduces trigonometry through right triangles and radian measure.

Trigonometric Graphs, Identities, and Equations
Expands on trigonometric modeling and relationships.