This document outlines an innovative mathematics course taught by Mrs. Prajakti Gokhale. The 4-month course meets once a week for 2-hour sessions and covers a range of math topics through problem solving, practice problems, discussions and puzzles. Students will learn number theory, geometry, algebra, and their applications while building skills like logical thinking, problem construction, and pattern recognition to help overcome math anxiety and perform better on exams. Sessions include teaching concepts, small practice problems, and a puzzle or story to engage students in math in a fun way.

1. Innovative and magical
mathematics
Let’s explore and enrich ourselves!
By : Mrs. Prajakti Gokhale

2. Why we are here?

3. Objectives of this course
maths
problems
methods
logic
Thinking
out of
the box
Mind
power
tricks

4. Structure of the course
Duration : 4
months
Session : once
a week
2 hour session
mostly on
weekends

5. Structure of the session
Actual teaching of concepts with problem
solving
(45 min)
Small practice of learned
concept for 15 min
one puzzle or story
( 30 min )
Discussions, question and
answers
(30 min)

6. What we will learn?
Number
theory
Vedic: basic
operations
History
Prime numbers
and coding
Geometry
Basic concepts
Innovative
constructions
Method of
deductive
reasoning
Algebra
History and
relation with
numbers
Understanding
concept with
stories
Application
Relation with
other subjects
Joining maths
to physics
Maths in our
surrounding
Maths in daily
transactions

7. What you will achieve?
Construction of problems
Logical connection
New tricks
Relating and reading patterns
Analysis skills
Basic coding

8. How it will help in exam?
Reduce
phobia of
numbers
Easily verify
answers in
exam
Release the
pressure of
silly
mistakes
You can
think more
logically and
precisely
Able to
understand
and do word
problems in
a better way

9. Some examples and tricks
To find complement of the
number
Finding the square of a
number
Dividing the number with 9
Rule: all from 9 and last from 10 Rule : as many numbers less ,
reduce and apply square
Rule: all from 9 and last from 10
Complement w.r.t. 10
Complement of 6 is 4
( 97)² = (97-3)/ (3)²
= 9409
321 ÷ 9 = 35 remainder 6
= 35.6666
Complement w.r.t. 100 (91)² = (91-9)/ (9)²
= 8281
4521 ÷ 9 = 4, 9,11, rem 12
= 501 rem 12
= 502 rem 3
Complement of 47 : 53 (102)² = 102 +2/ (2)²
= 10404
12031 ÷ 9 = 1336 remainder 7
Complement w.r.t 1000
Complement of 421 : 579
Complement w.r.t. 10000
Complement of 2370: 7630
When numbers near to 1000
( 996)² = 996-4 / (4)²
= 992016
(1008)² = 1008+8 / (8)²
= 1016064