## SOLVE IT!

Find X. Know Y.

## Geometry

At *Solve It!*, we produce **the** **best, most long-lasting results** for geometry students.

• We focus on **deep intuitive understanding** of the material, rather than pure memorization. Because of our** teaching philosophy,** we have found that the longer students work with us, the stronger their foundation in math becomes, and so their results only get better with time.

• What it takes to succeed in geometry is significantly different than in algebra. Most algebra problems can be solved using straight-forward, algorithmic methods. The **biggest difficulty with geometry,** however, is that **many problems appear open-ended, and any number of theorems and techniques could apply.** The cleverest students are still often able to solve these problems, but even strong students who understand all of the material often struggle because they are unable to have the required "strokes of genius." Some examples include circumscribing a circle about a quadrilateral or drawing a line connecting two points that you would have never thought to connect. Teachers rarely teach students any techniques designed to help them have those "brilliant insights" on hard geometry problems. **Our solution **is to **teach heuristic problem-solving methods that train students to "think geometrically" and consistently have those insights when they need them.**

**For example, we teach quantity chasing.** If a student needs to find some crazy angle in a figure and has no idea how to do it, their usual strategy is to give up and move on to the next problem. Instead we teach them to "angle chase" by solving for all possible angles until they've gathered enough information to solve for the desired one. Using this technique alone, students are able to solve over 50% of angle problems that they previously were unable to solve.

• **We encourage students to be self-sufficient **and **teach good study habits **because we know that they have to also put in their own time and effort to master the material if they want consistent, lasting success.

•** Just as coal is transformed into diamonds** when put under tremendous pressure for long periods of time, **so have Igor's teaching methods evolved** to perfection over the last 15 years.

• We use a **simple but highly effective note-taking system.** Each student has a **notebook containing a "problems section" and a "concepts section."** We write detailed notes on every instructive problem that the student struggled on in the "problems section." For every concept which the student is weak in, we write detailed notes deriving that concept and providing the necessary examples for the student to master it in the "concepts section." **It is always the student's responsibility to re-solve from scratch all of the problems in the "problems section" and re-derive/re-solve all of the concepts and examples in the "concepts section" as many times as necessary until he or she has developed a deep intuitive understanding of the material.** In this way, our tutors only need to explain each problem type or concept once, which saves parents lots of money and teaches students a lot more material per tutoring hour. This organizational system is especially useful because it efficiently fills in gaps in students' knowledge. The points that they had been losing in their classes because of these gaps all of their lives will never be lost again!

•** Igor has tutored 1150+ students, often under high-pressure to produce dramatic increases in knowledge in short periods of time.** All the while, Igor has been meticulously developing and tirelessly perfecting his best practice teaching methods. As a result, the teaching methods our tutors uses today are like nothing you've ever seen before! See our amazing teaching methods for yourself in the demo video below!

**• We provide a comprehensive textbook-based curriculum **for students, so that they are ready to accelerate to the next year in school math with no gaps in their prerequisite knowledge.

• **We offer complete supplementary curricula for gifted math students.** Because of Igor's years of experience coaching students for math competitions, he has developed **his own intensive "math on steroids" curricula** (banned from the Math Olympics). A natural result is that our students easily get A+'s in their school math classes, receive perfect scores on all of their standardized math tests, and more often than not, skip grades.