Yu-heng Xiao
Practical AP Calculus & Statistics lessons with collaborative focus
Private tutor - Yu-heng Xiao
Bachelors degree
/ 30 min
Teaching methodology
My previous and current students include high school advanced level students and students from University of Connecticut (which is a member of "public ivy league schools"). During teaching, I would like to see students' engagement. I tried to make a session like a conversation instead of a monlogue. I prefer to give clear instructions to my students, usually in the format of bullet points.
AP tutor test prep specialities
Homework help
Test prep
Proven strategies for exam success
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Focus on timed practice and strategy
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Yu-heng - About your AP tutor
I have graduated from UConn on December, 2023, with a major in Mathematics & Statistics. Now I am a member of the United States National STEM Honor Society, as the Director of Analytics. On weekends, I teach some students about advanced computer class at New York City. I worked at UConn Quantitative Learning Center for 1 year, teaching students college level Mathematics & Statistics courses. When I was at college, my major GPA was 3.89/4.00. I also got full point in GRE Quantitative part (170/170). I have good knowledge in statistics (probability theory; statistical data analysis; mathematical statistics; statistical programming; etc.). I am also very proficient in SQL & Python & R & Excel.
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Yu-heng - also teaches
AP Calculus AB
AP Statistics
AP concept taught by Yu-heng
Yu-heng assisted Pablo in reviewing trigonometry concepts, including unit circle problems, trigonometric functions, and problem-solving techniques for a unit test review. They worked through practice problems and real-world applications, focusing on identifying and correcting mistakes. They plan to review the next unit next weekend.
Angle of Depression
Trigonometric Periodicity
Undefined Trigonometric Values
Reciprocal Trigonometric Identities
Inverse Trigonometric Functions
Degree to Radian Conversion
Yu-heng assisted Pablo in preparing for his trigonometry test. They reviewed the unit circle, trigonometric identities (specifically sin²θ + cos²θ = 1), the sine rule, set theory, and transformations, including shear transformations. Yu-heng corrected Pablo's errors and reinforced key concepts.
Sine Rule
Shear Transformations
Set Theory - Operations
Transformations - Rotations
Transformations - Translations
Tangent Value
Sine and Cosine Relationships
Unit Circle
Special Right Triangles
Inverse Trigonometric Functions
Trigonometric Functions Transformation
Describing Transformations
Stretch Transformation
Shear Factor with Invariant Line
Shear Factor
Yu-heng tutored Pablo in circle geometry, reviewing theorems and proofs. Pablo's work was analyzed to identify errors and reinforce understanding of inscribed angles, tangent lines, and the alternate segment theorem. The session emphasized logical understanding over memorization.
Perpendicular Bisector of a Chord
Tangent Intersections
Isosceles Triangles from Radii
Tangent and Radius
Angles in the Same Segment Theorem
Angle at the Center Theorem
Opposite Angles in Cyclic Quadrilateral
Alternate Segment Theorem
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