# Camp Theta: Geometry

At Camp Theta, students will explore mathematical ideas focused on Geometry.

## Overview

They will be exposed to a wide range of new mathematical knowledge and a deeper level of understanding in a collaborative environment. The curriculum is designed to include problems from various prestigious national and international math contests. The students will attend lectures, learn problem solving techniques, and work creatively and enthusiastically to tackle challenging problems.

**Dates: July 06 - July 24 [3 weeks].**

## Concepts

- Level 1 :
- Angles
- Polygons
- Area and Perimeter
- Types of Triangles
- Pythagorean Theorem
- Right Triangles
- Introduction to 3D Geometry
- Level 2 :
- Review of Level 1 Concepts
- Congruences
- Similar Triangles
- Problem Solving using area and height of triangles
- Arc length and Area of Sectors
- Area of Overlapping Complex Regular Shapes
- 3D Geometry – Volume and Surface area of regular shapes, Applications
- Level 3 :
- Review of Level 2 Concepts
- Problem Solving with Similar Triangles
- Special Properties of Triangles - Centroid, Orthocenter, Incenter and Medians
- Angle Bisector Theorem
- Circles – Inscribed Angles, Tangents, Power of Points
- Introduction to Analytical Geometry and Trigonometry – Equations of Circles, Lines, Identities and Proofs, Sum of Sines, Cosines, Height and Distance
- Introduction to Trigonometry
- Level 4 :
- Review of Level 3 concepts
- Intermediate Trigonometry - Law of Sines and Cosines, Half Angle Formula
- Analytical Geometry – Techniques
- Mass Point, Ceva’s and Menelaus - Collinearity and Concurrency
- Excircles, Cyclic Quadrilaterals
- 3D Geometry
- Level 5 :
- Review of Level 4 concepts
- Analytical Geometry – Advanced Techniques
- Complex Geometry
- Projection, Inversion, and Homothety
- Advanced Trigonometric methods
- Nine Point Circle, Cyclic Quadrilaterals, Directed Angles

### Notes

- Campers will be grouped based on assessments into five different levels before the start of the camp and may be moved from one to the other based on their progress during the camp.
- The concepts will be covered at different depth based on the student's comfort level.

## Fees

- $1800 for full day session (3 weeks)
- $1200 for half day session (1st half - Geometry - 3 weeks)
- $1200 for half day session (2nd half - Contest Preparation - 3 weeks)

### Discount Policy

- The discounts are only applicable in the tuition fee for regular classes and accelerator program (practice sessions) till December 2020
- 10% discount in monthly tuition fee & accelerator program
- Discount starts on 1st of the month after receipt of full payment (e.g. full payment received on February 15, discount starts on March 1st
- Discount ends in the month of December 2020

### Refund Policy

- 80% of camp fee paid (discounts provided would also be deducted)