Standard 8th Mathematics Training Programme 2024 "Foundation of Mathematics and Introduction to Olympiad Maths"

Note:  the admissions will start from 8th April 2024.

Date of Commencement of the course:

10th June 2024, on the day of your batch.
Eligibility for the course:
  • More than 75% marks or equivalent grade in Mathematics in 7th Standard.
Timings for the course:
  • Classroom batch: 4 hours per week.
    • Tuesday 6.00 pm to 8 pm
    • Thursday 6.00 pm to 8.00 pm.
  • Online batch: 4 hours per week.
    • Monday 6.00 pm to 8 pm
    • Wednesday 6.00 pm to 8.00 pm
Expected Learning outcomes from the course:
  • During/At the end of the programme, students will be able to:
    • Read and understand Mathematical material based on the concepts known to them.
    • Get introduced to abstraction in Mathematics.
    • Gain realization of relation between Algebra and Geometry
    • Enhance problem solving abilities and critical thinking skills.
    • Get introduced to foundational topics in Number Theory and Combinatorics
Fees for the programme:
  • Classroom batch ₹16000/-
  • Online batch ₹24,000/-
Syllabus of the course:
  • Semester I: (Approx. 50 hours)
  1. Arithmetic
    1.  Divisibility (GCD, LCM and their properties), Euclid’s Algorithm.
    2. Simple and Compound interest
    3. Time and Work, Speed and Distance Average
    4. Basic  Optimisation in Profit ,Loss situations  and Time, work and speed problems.
  2. Algebra
    1. Indices
    2. Identities and Factors
    3. Linear Equations in one and two variables
    4. Algebraic Expressions
  3. Geometry
    1. Triangles – Congruence and Similarity.
    2. Pythagorean Theorem. 
    3. Circles (Basics).
    4. Problems involving calculations. 
      Proofs of the theorems will be evolved in  an interactive manner.
  4. Puzzles
  • Semester II: 
  1. Algebra
    1. Principle of Mathematical Induction
    2. Simultaneous Linear Equations
      (with no solution, unique solution, infinitely many solutions)
    3. Arithmetic and Geometric Progression
  2. Geometry
    1. Geometric Constructions., concurrency.
    2. Quadrilaterals
    3. Interesting problems requiring proofs.(Rider)
  3. Number Theory (20 Hours)
    1. Divisibility, Remainders, Primes, Prime Factorisation, GCD
    2. Introduction to Congruences
  4. Combinatorics (10 Hours)
    1. Basic Counting Principles
    2. Permutations and Combinations – Basic Properties
    3. Set Theory. Principle of Inclusion – Exclusion. Examples of 2 and 3 sets.
  • In addition to the aforementioned syllabus, some interesting hands-on activities like learning similarity and congruence through tangrams, understanding fractals through Pascal's triangle etc. will be conducted.
  • The guest lectures on various topics from applied Mathematics are conducted for the students in the duration of the course.
Books for Reference:
  1. Mathematics (Class 8) : Pearson IIT Foundation Series
  2. A School Geometry by Halls and Stevens.
  3. Ganit Prabhutva (Std. 8)
  4. Mathematical circles a Russian experience Fomin et al.
  5. Challenge and Thrill of Pre-College Mathematics : New Age International Publishers for Reference.
Teaching Faculty for the programme:
  • Prof. Charudatta Nimkar, M.Sc., M.Phil. in Mathematics.
  • Mrs. Medha Ambikar, B.E. E & TC
Coordinator of the programme: Prof. Charudatta Nimkar

For admission procedure refer to the website of Bhaskaracharya Pratishthana