PLANE AND COORDINATE Geometry

• 10:00 - 11:00 am Pacific Standard Time (PST)
• Every Saturday and Sunday, except major holidays and event days
• All sessions are recorded and available for playback and download immediately after class. 

• 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.

Please complete the sign-up form below and pay the tuition by August 30, 2023. Note that your spot in the class will only be confirmed upon receipt of your payment.

I accept Paypal or Zelle payments.