Standard 8th Mathematics Training Programme 2023 "Foundation of Mathematics and Introduction to Olympiad Maths"

Date of Commencement of the course:

• 15^th May, 2023 onwards on the days of your batch.

• More than 75% or equivalent grade in Mathematics in Std. 7

• Classroom batch only: 4 hours per week.
• Tuesday 6.00 pm to 8pm and Thursday 6.00 pm to 8.00 pm.

• 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.
• Understand the interrelation between Algebra and Geometry.
• Enhance problem solving abilities and critical thinking skills.
• Get introduced to foundational topics in Number Theory and Combinatorics

• ₹ 16,000/-

• Semester I: (Approx. 50 hours)

1. Arithmetic (14 Hours)
1. Divisibility (GCD, LCM and their properties)
2. Squares and Square roots, Cubes and Cube Roots
3. Percentage
4. Simple and Compound interest
5. Time and Work, Speed and Distance
6. Ratio, Proportion and Variation
7. Average
2. Algebra (10 Hours)
1. Indices
2. Identities and Factors
3. Linear Equations in one and two variables
4. Algebraic Expressions
3. Geometry (16 Hours)
1. Angles
2. Triangles
3. Pythagorean Theorem
4. Geometric Constructions
5. Perimeter and Area
6. Polygons
7. Circles (Basics)
4. Practice and Problem Solving (10 Hours)

• Semester II: (Approx. 50 Hours)

1. Algebra (10 Hours)
1. Principle of Mathematical Induction
2. Simultaneous Linear Equations
   (with no solution, unique solution, infinitely many solutions)
2. Geometry (10 Hours)
1. Triangles – Congruence and Similarity
2. Quadrilaterals
3. Number Theory (20 Hours)
1. Divisibility, Remainders, Primes, Prime Factorisation, GCD
2. Euclidean Algorithm, Linear Diophantine Equation in two variables
3. Introduction to Congruences
4. Combinatorics (10 Hours)
1. Basic Counting Principles
2. Permutations and Combinations – Basic Properties
3. Principle of Inclusion – Exclusion

• In addition to the aforementioned syllabus, some interesting hands-on activities viz. Mathematics through origami and paper folding, learning similarity and congruence through tangrams, understanding fractals through Pascal's triangle etc. as well as guest lectures on various topics from applied math are conducted for the students in the duration of the course.

1. Ganit Prabhutva (Std. 8) : Mumbai and Pune Jilha Adhyaapak Mandal
2. Mathematics (Class 8) : Pearson IIT Foundation Series
3. Challenge and Thrill of Pre-College Mathematics : New Age International Publishers

• Prof. Charudatta Nimkar, M. Sc., M. Phil. (Mathematics).

• A course of recorded lectures will be available online to the students outside Pune.
• Monthly one online session will be conducted for interaction and discussion.