Harrison Kmiec
Private Mathematics Tutor for all grades and skill levels. The goal is to promote consistent improvement and fun in the mathematical journey!




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Harrison Kmiec
Bachelors degree
/ 55 min
Harrison - Know your tutor
My name is Harrison Kmiec, and I am a private mathematics tutor situated in Chapel Hill, North Carolina. Regarding my educational background, I have a Bachelor's degree from UNC-Chapel Hill and majored in Mathematics, as well as Statistics and Analytics. I have been doing private mathematics tutoring for 3 years, and have tutored from elementary school all the way up to the undergraduate college level. Subjects within math that I tutor for include Algebra, Geometry, Calculus, and Probability. My style of tutoring/teaching focuses on using simple examples to build up the muscle memory for concepts and formulas, then using more complex examples to strengthen the students' flexibility on those very topics. My goal is to create a collaborative environment for math that communicates how fun math can be as a subject dedicated to problem-solving.
Harrison graduated from University of North Carolina at Chapel Hill


Specialities of your tutor
Common Core State Standards - CCSS (USA)
Mental Math
Learning Plans
Problem Solving
Practice Drills
Homework help
AI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
No cancel fee
1-yr validity
24/7 support
Student types for classes
Elementary School students
College students
Home schooled
ADHD
Anxiety or Stress Disorders
Learning Disabilities
ASD
Middle School students
High School students
Class overview
My tutoring/teaching style focuses on addressing weak spots in students' fundamental understanding of the math they are learning in their courses, and keeping the students engaged once they have demonstrated a solid understanding of the current math concepts they are working on. I use simple examples to identify where a student does not fully grasp certain mathematical ideas, as well as to help them hone the missing skills to a comfortable level. Then, once the student shows consistency with the topics they are working on, I use complex examples to keep them engaged with the problem-solving aspect of math. My belief is that there is no need to "gamify" math because math is inherently very similar to a game. Math is akin to a puzzle or any activity where there is a defined end goal and you are given a base set of information to work with. After working with a lot of students over the years, I find that students naturally discover the fun in math as long as someone is there to ease the frustrating parts.
Harrison also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3

Mathematics concepts taught by Harrison
The Tutor and Student worked on simplifying mathematical expressions involving exponents and roots. They practiced applying properties such as exponent distribution, multiplication of powers, handling negative exponents, and converting roots to fractional exponents. The session provided a head start for the Student on upcoming class topics.
Multiplying Terms with Exponents
Roots as Fractional Exponents
Negative Exponents and Reciprocals
Power of a Power Rule
Distributing Exponents to Products
Multiplicative Inverse
The session primarily focused on developing a strategic plan for the Student to prepare for pre-algebra and algebra over the summer. The Tutor recommended using online platforms like Khan Academy for practice and suggested identifying a course syllabus for structured learning. They also briefly attempted an algebra problem, which highlighted the need for better technical setup.
Foundations of Pre-Algebra & Summer Preparation
Strategic Learning with Syllabi & Tutor Support
Optimizing Your Virtual Learning Environment
Interpreting Word Problems & Order of Operations
Khan Academy: A Free & Effective Learning Resource
The tutor and student worked through various problems involving simplifying radical expressions and solving radical equations. They practiced combining like terms, simplifying radicands, and understanding variable restrictions. The session concluded with an introduction to solving radical equations and the importance of checking for extraneous solutions.
Scaling and 3D Shapes
Simplifying Radical Expressions
Solving Radical Equations
Operations with Rational Expressions
Understanding Slope
The Tutor and Student worked through practice problems for the ASVAB math and word knowledge sections, focusing on arithmetic, order of operations, fractions, decimals, percentages, and solving basic algebraic equations. They planned to continue practicing more problems in future sessions to build familiarity with ASVAB math topics.
Fractions
Decimals
and Percentages Conversion
Square Roots (√)
Exponents (Powers)
Absolute Value (|x|)
Factorials (!)
Order of Operations (PEMDAS)
The Student and Tutor reviewed various geometry and trigonometry concepts from a test, including circle properties, arc length, similar triangles, and trigonometric ratios (sine, cosine, tangent). They practiced solving problems by applying formulas and identifying relevant geometric relationships, with the Tutor providing guidance and explanations. The session also covered how to use inverse trigonometric functions to find angles.
Arc Length and Sector Area
Inscribed Angles and Arcs
Properties of Tangent Lines
Trigonometric Ratios (SOH CAH TOA)
Pythagorean Theorem in Word Problems
The student and tutor worked through various geometry problems involving circles, focusing on calculating arc measures, angles formed by intersecting chords, and using the standard equation of a circle. They also practiced applying the power of a point theorem and completing the square to find circle properties. The tutor planned to schedule another session for the following day.
Angles Formed by Intersecting Chords
Power of a Point Theorem
Completing the Square for Circles
Standard Equation of a Circle
Angles Formed by Intersecting Secants
Teaching tools used by tutor
Visualization & Exploration
Lesson Planning Tools
Digital whiteboard
Graphing Tools
Practice worksheets
Interactive lessons
Open Q&A
Parent feedback
Weekend lessons

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Every tutor is interviewed and selected for subject expertise and teaching skill.
