I encourage students to explore mathematical problems and concepts independently, guiding them through thoughtful questions to foster critical thinking, problem-solving skills, and a deeper understanding of the material. 

My teaching approach is designed to accommodate a range of learning styles, abilities, and interests, ensuring that each student's needs are met while promoting an inclusive environment where everyone can succeed. 

I incorporate complex, real-world word problems into my lessons, allowing students to apply various mathematical concepts over time. 

Additionally, I place a strong emphasis on students articulating their reasoning and engaging in discussions, which enhances communication, deepens their understanding, and fosters peer learning. 

To support students, particularly visual and kinesthetic learners, I use visual aids that help make abstract concepts more accessible. Through a mastery-based approach, I ensure students solidify their knowledge before progressing to new topics.



My Ace Algebra 1 1:1 tutor covers foundational algebraic concepts that prepare students for more advanced mathematics. The key topics typically include:

Expressions, Equations, and Inequalities:

Simplifying expressions (combining like terms, using the distributive property)
Solving linear equations and inequalities (including multi-step equations)
Writing and interpreting expressions, equations, and inequalities

Functions:

Understanding the concept of a function (input-output relationships)
Representing functions using tables, graphs, and equations
Evaluating functions and using function notation

Linear Functions:

Graphing linear equations and inequalities
Understanding slope and y-intercept
Writing equations of lines (slope-intercept form, point-slope form, and standard form)
Solving systems of linear equations (graphically, substitution, and elimination methods)

Polynomials:

Adding, subtracting, and multiplying polynomials
Understanding the structure of polynomials (degree, leading coefficient)
Factoring polynomials (factoring out the greatest common factor, factoring trinomials, difference of squares)

Quadratic Functions and Equations:

Solving quadratic equations by factoring, completing the square, and using the quadratic formula
Graphing quadratic functions (identifying vertex, axis of symmetry, and direction of opening)
Exploring the properties of parabolas

Exponents and Exponential Functions:
Applying the laws of exponents
Solving exponential growth and decay problems
Graphing and interpreting exponential functions

Radicals:
Simplifying square roots and other radicals
Solving equations that involve radicals
Understanding the relationship between radicals and exponents (e.g., square roots and powers)

Rational Expressions and Equations:
Simplifying rational expressions
Solving rational equations
Understanding direct and inverse variation
These concepts provide students with the skills necessary to solve problems involving algebraic relationships and real-world situations.