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)
Advanced Placement (AP) Program (USA)
Problem Solving
Homework help
Practice Drills
Mental Math
CoTutorAI 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
College students
ASD
High School students
Middle School students
Home schooled
Learning Disabilities
ADHD
Elementary School students
Anxiety or Stress Disorders
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 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.
Trigonometric Ratios (SOH CAH TOA)
Pythagorean Theorem in Word Problems
Properties of Tangent Lines
Inscribed Angles and Arcs
Arc Length and Sector Area
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 Secants
Angles Formed by Intersecting Chords
Power of a Point Theorem
Completing the Square for Circles
Standard Equation of a Circle
The student and tutor worked through various geometry and algebra problems, including similar triangles, properties of polygons, and parallelograms. They practiced setting up ratios, solving algebraic equations, and proving triangle similarity using geometric postulates, with plans to review circle properties in the next session.
Angle Congruence in Geometric Figures
Interior Angles of Polygons
Properties of Parallelograms and Rhombuses
Similar Triangles and Proportions
The Tutor and Student reviewed geometry formulas and problem-solving techniques for triangles and prisms in preparation for the Student's final exam. They practiced calculations involving volume, angle bisectors, similar triangles, and properties of rhombuses, with a focus on ratios and similarity criteria. The Tutor recommended daily sessions to reinforce these concepts before the exam.
Similar Triangles and Ratios
Volume of Prisms
Complementary Angles
Properties of Rhombuses
The tutor and student conducted a review session focusing on calculus topics relevant to a final exam, including volumes of solids of revolution using the shell method and centroid calculations. They practiced solving problems by setting up integrals and working through calculations, and the student gained clarity on formula application.
Volumes of Revolution: Shell Method
Finding Centroids (Center of Mass)
Volumes of Revolution: Disc/Washer Method
The tutor and student worked on problems involving parametric equations, including identifying shapes of curves, eliminating parameters to find rectangular equations, and performing parametric differentiation. They also discussed upcoming review for a final exam covering parametric and polar coordinates.
Parametric Equations for Circles and Ellipses
Eliminating the Parameter
Derivatives of Parametric Equations
Teaching tools used by tutor
Visualization & Exploration
Digital whiteboard
Lesson Planning Tools
Practice worksheets
Graphing Tools
Interactive lessons
Weekend lessons
Parent feedback
Open Q&A
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Every tutor is interviewed and selected for subject expertise and teaching skill.