Geometry and trig, explained.

Learn to see what a diagram is telling you, then turn it into clear reasoning.

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Unit by unit

Lessons follow the student's course. This is the kind of material we work through.

Reasoning and proof

Conditional statements, two-column and paragraph proofs

Angles and lines

Parallel lines, transversals and coordinate geometry

Triangles

Congruence, similarity, centers, inequalities and special right triangles

Quadrilaterals and polygons

Properties, classification, area and proofs

Circles

Arcs, chords, tangents, inscribed angles and equations of circles

Area and volume

Composite figures, surface area, prisms, cylinders, cones and spheres

Right-triangle trigonometry

SOH-CAH-TOA, elevation and depression

Advanced trigonometry

Law of Sines, Law of Cosines, the unit circle, graphs and identities

Where students get stuck

Proofs feel impossible

We show how to find the next statement instead of staring at a blank page.

Diagrams hide the answer

Students learn what to mark first and what each relationship allows.

Trig feels like memorization

We build it from right triangles and the unit circle, so formulas have meaning.

Common questions

How can a student get better at proofs?

By learning how to plan: mark the diagram, list what's given, and work backward from what must be shown. Then we practice turning that plan into statements and reasons.

When do you use the Law of Sines or Law of Cosines?

Use the Law of Sines when you know an angle and its opposite side. Use the Law of Cosines for two sides with the included angle, or three sides.

Are geometry formulas worth memorizing?

A few are essential, but understanding how they relate reduces memorization. We focus on where formulas come from and when to use them.

Can you work with honors or accelerated classes?

Yes. Send the syllabus or recent assignments, and we'll match the level.

Other subjects

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Book 20 minutes and tell us what you want to work on.

Book a free consultation