Geometry

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Geometry is the course where students learn to prove things. It opens with proof itself, with postulates, definitions, theorems, and the properties of congruence, and students keep writing proofs in every unit that follows. Along the way: transformations and rigid motions, the triangle congruence criteria, similarity by AA, SSS, and SAS, and a long unit on circles that takes in the inscribed angle theorem, Thales' theorem, tangent and secant relationships, and radian measure. The second half moves geometry onto the coordinate plane, works through triangles, quadrilaterals, and right-triangle trigonometry, then finishes with solid geometry and a unit on probability and combinatorics.Six units, about 179 topics. Because proof is a habit rather than a chapter, earlier theorems keep reappearing inside later proofs, and review of a topic is scheduled for the point at which a student would otherwise start forgetting it. Learning to build an argument that holds up under scrutiny is worth as much outside of mathematics as in it.In the traditional sequence, Geometry sits between Algebra 1 and Algebra 2. Schools on the integrated path spread most of this material through Integrated Math II, alongside quadratics and probability. Either way, the diagnostic at the start of the course establishes what a student already has. Tutoring with our teachers is open every school day, 10:00 to 4:00. How we teach math. Show more