Theme: Basics of Algebra

1. Elementary counting techniques.
2. Set terminology and cardinality
3. Operation on set number of elements.
4. Classification of numbers.
5. Irrational numbers, and type.
6. Linear equations and interpretation.
7. Practice session on basic maths.
8. Cross multiplication process And condition of Solvability.
9. Indeterminate equation.
10. Practice on indeterminate equation.
11. Fundamental theorem of algebra
12. Division algorithm of algebra.
13. Algebraic identities -1.
14. Remainder theorem and pattern problem.
15. Factor theorem and integer root theorem.
16. Algebraic identities-2.
17. Special factorization technique.
18. Advance algebraic identities.
19. Ratio and proportion
20. Advanced theorem on polynomial.

Theme: Geometry.

1. Basic definition and angle chasing.
2. Congruence of triangle.
3. Discussion of NCERT lines and angles and congruence of triangle.
4. Triangle inequality
5. Properties of quadrilateral.
6. Area of triangle and quadrilateral.
7. Similar triangles.
8. Theorem
9. Thales theorem.
10. Properties of different center of circle.
11. Application of similarity.
12. Ceva’s Theorem and its application.
13. Menelau’s theorem
14. Application of advanced theorem
15. Introduction to Circle of geometry.
16. Chord of Circle and cyclic quadrilaterals.
17. Angle chasing In circles
18. Touching and intersecting of circle.
19. Condition of common tangent.
20. Polygon
21. Circle and polygon.