PLANE AND COORDINATE Geometry

The class will meet twice a week for one hour each time between February and May 2023 (exact meeting times TBD based on the participants). All sessions are recorded and available for playback and download immediately after class. Should there be enough student interest, the class may continue in the summer and the following school year. 

All sessions are $50 each; we will be meeting biweekly most of the time, with the exceptions of holidays, special event days, etc. You will be billed monthly, depending on the number of classes on each particular month (average monthly payment will be around $300-$400). Payment can be done by Zelle or Paypal. A $250 deposit must be paid by January 30, 2023. The deposit will be applied to the first month tuition for all students who end up participating in the class. The deposit is non-refundable.

Please complete the sign-up form below and pay the $250 deposit by January 30, 2023.

• Introduction to Geometry, by Richard Rusczyk (2007 edition) - Mandatory https://www.amazon.com/Introduction-Geometry-2nd-Problem-Solving/dp/1934124087/ref=asc_df_1934124087/?tag=hyprod-20&linkCode=df0&hvadid=312105386385&hvpos=&hvnetw=g&hvrand=13711963114847005965&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9032135&hvtargid=pla-561568606770&ps

You can purchase online versions of this book at the Art of Problem Solving bookstore.  

I also recommend the following books, but purchasing any of them is optional: 

• Geometry, by Ray C. Jurgensen, Richard G. Brown, and John W. Jurgensen (2009 edition) https://www.amazon.com/Geometry-Ray-C-Jurgensen/dp/0395977274/ref=sr_1_1?s=books&ie=UTF8&qid=1534229047&sr=1-1&keywords=jurgensen+geometry  

•  Lessons in Geometry, Vol 1: Plane Geometry, by Jacques Hadamard https://www.amazon.com/Lessons-Geometry-Vol-Monograph-English/dp/0821843672/ref=sr_1_1?s=books&ie=UTF8&qid=1534229406&sr=1-1&keywords=hadamard  

• Challenging Problems in Geometry, by Alfred Posamentier and Charles T. Salkind https://www.amazon.com/Challenging-Problems-Geometry-Dover-Mathematics/dp/0486691543/ref=sr_1_1?s=books&ie=UTF8&qid=1534229542&sr=1-1&keywords=challenging+problems+in+geometry  

• Problems in Plane and Solid Geometry, Vol 1, by Viktor Prasolov (translated from Russian)

We will cover fundamental results in Euclidean geometry: basic axioms and postulates, parallel lines, congruent and similar triangles and polygons (Thales' Theorem and the Fundamental Theorem of Similarity), quadrilaterals (including parallelograms, rhombi, rectangles, squares, trapezoids, and kites), right triangles (The Leg and Altitude Theorems) and the Pythagorean Theorem, circles (arcs, chords, tangents, central, inscribed, interior and exterior angles), cyclic and circumscribed quadrilaterals, the power of a point theorems, areas of plane figures, geometric inequalities, regular polygons, special parts of a triangle (medians, angle bisectors, altitudes) and the four concurrency points (incenter, circumcenter, orthocenter, and center of mass), special topics (Menelaus' Theorem, Ceva's Theorem, Van Aubel's Theorem, Stewart's Theorem, the Heron-Archimedes Formula, Brahmagupta's Formula, Ptolemy's Theorem, etc), constructions and loci, coordinate geometry, and combinatorial geometry.

All interested students must have completed a course in Algebra I, or have sufficient knowledge of linear equations and inequalities, ratios and proportions, and square roots. Knowledge of basic counting strategies and probability is desired, and so is knowledge of quadratic equations (factoring, the quadratic formula). The students should also be familiar with equations of lines and graphing in cartesian coordinate planes.

This is a high-end, intensive, and challenging class, so students signing up are expected to be in grades 7 and up. A student in grade lower than 7 who wishes to sign-up must provide a letter of recommendation from a school teacher or mentor that can comment on the student's academic abilities and mathematical interest.