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TLM Sr. Secondary 2024

S.No. Class Title of TLM Brief Description Video of TLM Explanation by self or using it with Students Prepared By
1. Sr. Secondary 3-D Geometry Students can learn about octants, co-ordinate of points in space, distance between two points
, position vector of a point, direction ratios of position vector,
magnitude of vector with the help of this 3-D model.		 Link SANJAY KUMAR RSBV Laxmi Nagar (1003001)
2. Sr. Secondary Function Various types of functions like working model on graph of sinx using
unit circle and graph of inverse trigonometric function,
greatest integer and fractional part function, logarithmic and exponential function,
modulus function, trigonometric function, reciprocal function 		Link Sunil dabas Sarvodaya Coed Vidyalaya Bakkarwala (1617029)
3. Sr. Secondary Calculating Probability with or without formula The TLM explains about very important topic of probability of class 12th which is conditional probability. Link RENU GGSSS Kirti Nagar (1516025)
4. Sr. Secondary Exploring value of Sin X using unit circle The unit circle, a circle with radius 1 centered at the origin (0, 0),
provides a visual way to understand sin x. For any angle x measured
counterclockwise from the positive x-axis, the coordinates of the point
where the terminal side of the angle intersects the unit circle are (cos x, sin x)
The value of sin x corresponds to the y-coordinate of this point.
Key properties include:
• sin x = 0 at 0 deg , 180 deg , and 360 deg
• sin x = 1 at 90 deg , and -1 at 270 deg
• sin x > 0 in the first and second quadrants, and sin x < 0 in the third and fourth quadrants.
This method helps visualize the periodic and oscillatory behavior .		 Link SHASHI GUPTA SKV Adarsh Nagar (1309031)
5. Sr. Secondary PASCAL'S TRIANGLE CLASS XI
TOPIC – BINOMIAL THEOREM FOR POSITIVE INDICES
SUB TOPIC-PASCAL’S TRIANGLE
BRIEF DESCRIPTION
MODLE OF ACTIVITY – INDIVIDUAL
OBJECTIVES:
1) TO CONSTRUCT PASCAL’S TRIANGLE
2) USING IT WRITE BINOMIAL EXPANSION FOR ANY GIVEN POSTIVE INTEGRAL INDICES
3) USING CONCEPT OF COMBINATIONS, REWRITE NUMBERS IN PASCAL TRIANGLE.
4) APPLY P. TRIANGLE TO FIND PROBABLITY OF HEAD AND TAIL IN DIFFERENT TOSSES OF A COIN.
MATERIAL REQUIRED: - CARDBOARD, COLOURED CHARTS, ADHESIVE, COLOURED PENS, BOARD PINS.
PROCEDURE/DEMONSTRATION: -
1) CARDBOARD WAS TAKEN & COVERED WITH CHART PAAPER
2) NOS. WRITTEN ON IT WITH ‘1’ ON THE TOP VERTEX & WITH ‘1’ S RUNING DOWN THE TWO SIDES OF A TRIANGLE.
3) EACH NEW NO. LIES BETWEEN THE TWO NOS. & ITS VALUE IS THE SUM OF THE TWO NOS. ABOVE IT
4) THE FIGURE SO FORMED IS LIKE A TRIANGLE
5) THROUGH P. TRANGLE BINOMIAL THM FOR ANY POSTIVE INDEX CAN BE WRITTEN.
6) USING CONCEPT OF COMBINATIONS, NOS. IN P. TRIANGLE REWRITTEN.
LEARNING: -
1) USING THIS TLM STUDENTS WRITE COEFFICIENTS IN THE EXPANSION OF ANY BINOMIAL EXPRESSION WITH POSITIVE INDEX.
2) OBSERVING THIS PATTERN STUDENTS WRITE ANY ROW OF P. TRIANGLE WITHOUT WRITING EARLIER ROWS.
3) STUDENTS ABLE TO APPLY THE P. TRIANGLE TO FIND THE PROBABILITY OF HEAD, TAIL IN A COIN TOSS.		 Link ANITA SALUJA GGSSS No. 1 Subhash Nagar (1515029)
6. Sr. Secondary 3-D GEOMETRY AND VECTOR ALGEBRA As it is very difficult to teach three dimensional concepts of 3-D and Vector Algebra
on 2-D(a black board ) so I use my TLM to explain various concepts
of 3-D like position if a point ,distance of a point from an axis or a
plane etc and in Vector Algebra like free vectors, position vector,
direction cosines, magnitude of a vector ,equal vectors,
parallel vectors and skew lines.		 Link REKHA JOLLY G Co-Ed SSS Laxmi Bai Nagar (1719101)
7. Sr. Secondary Sequence and series Introduction to Fibonacci sequence with an activity. It helps students develop pattern
recognition and problem solving skills. The Fibonacci sequence
can be used to model real world phenomena, such as arrangement
of leaves on stems , branching of trees, helping students understand special
relationships and natural patterns.		 Link Madan Saini SBV Sadiq Nagar (1924009)
8. Sr. Secondary Functions "The 'FUNCTIONS' Teaching Learning Material (TLM) offers a dynamic, game-based
approach to teaching different types of functions (relations, one-to-one, many-to-one, onto, and into)
to Class XII students. Students create visual representations of
functions using simple materials like cardboard, pre made cardboard
sets, pushpins, and rubber bands. For example, pushpins might represent
inputs and rubber bands illustrate the connection to the outputs.
This hands-on activity helps students understand fundamental concepts, develop problem-solving
skills, and enhance mathematical reasoning.
The document TLM “FUNCTIONS” for Optimal Learning:
A Step-by-Step Guide provides a comprehensive guide to using the "FUNCTIONS"
Teaching Learning Material effectively to teach functions to Class XII students.
The guide provides step-by-step instructions for individual and team activities,
assessment methods, and suggestions for teacher adaptation to suit their
individual classroom needs.
This interactive tool makes learning about functions fun and engaging,
leading to a deeper understanding of this crucial mathematical concept		 Link Rajan Verma RPVV Nand Nagri (1106252)
9. Sr. Secondary Conic section 1. It is a working TLM.
2.It represents that a double napped right circular hollow cone is obtained from the rotation of a intersecting line around the other vertical line.
3. It also describes ,how are conic sections the curves obtained by intersecting a right circular cone by a plane.
4. It explained in which ways , which Conic sections can be obtained.
5. It also explains different properties of different conic sections.		 Link Lalita GGSSS Sector-1 Avantika Rohini (1413069)
10. Sr. Secondary Trigonometry TLM is made up of cycle rim to show unit circle. Unit circle is used to show the concept of trigonometric functions. Link Rakesh Kumar GBSSS Paprawat (1822263)
11. Sr. Secondary Conic Section Conic Section , circle ellipse hyperbola and parabola Link Kapil Shankar Gaur GBSSS Moti Bagh-I (1719010)
12. Sr. Secondary Octant (3D geometry and vectors) Mode of activity -individual
Objective -
1)To understand the concept of division of space into eight octants
2)To find the signs of co-ordinates in eight octants
3) Find the co-ordinates of a point in space
4) Distance of a point from axis and plane
5) Position vector of a point
6) Direction cosines and direction ratios (introduction)		 Link Arjoo Sehgal GGSSS Block-A Saraswati Vihar (1411042)
13. Sr. Secondary SEQUENCE AND SERIES TLM illustrates the Derivation of formulas of Sum of first N natural
numbers, Sum of first N square of natural numbers, Sum of first N Cubes of
natural numbers, Sum of first N Odd natural numbers, Sum
of first N Even natural numbers with the help of Area of Rectangle and
Square,and Volume of Cuboid using Unit Square and Unit Cubes .		 Link SHAILENDRA PRAKASH GBSSS Goela Khurd (1822257)
14. Sr. Secondary Elliptical Carrom Verifying properties of ellipse Link Rajni Gupta SKV Chirag Delhi (1923037)
15. Sr. Secondary TRANSFORMATIONS OF GRAPHS The TLM- Transformations Of Graphs, helps to develop the ability to predict and
sketch graphs based on algebraic transformations without
plotting points and analyze how changes in coefficients and constants affect graphs.
It can also help to cover various topics such as :
1. Vertical Line Test
2. Horizontal Line Test
3. Recognising functions from graphs
4. Domain and Range
5. Increasing and Decreasing
6. Maximum and Minimum values of a function
7. Continuity and Differentiability
8. Application of Integrals
9. Sketching of Graphs and Graph Transformatio		 Link GEETA BANSAL SV Kailash Enclave (1411005)
16. Sr. Secondary THE UNIT CIRCLE The unit circle is essential in understanding mathematics and geometry.
It is a bridge connecting trigonometry ,geometry and
complex plane and an indispensable tool for both learning and application,
help students in proving identities, finding trigonometric values,
graphic understanding and periodicity of functions ,exhibit complex numbers etc.		 Link SANDHYA RANI SKV No 1 Narela (1310036)
17. Sr. Secondary Functions Learning about functions. Link SHIV RAJ SINGH SBV J&K Block Dilshad Garden (1106012)
18. Sr. Secondary Playing with Graphs Study of algebraic nature of graphs by moving along axes, rotation and flipping
of plane of the graph, exchanging its axes, taking mirror images wrt to both axes and line y=x		 Link Laxman Singh SBV A Block Vikaspuri (1618002)
19. Sr. Secondary Complex Number It help in understanding the concept of complex number and properties related with modulus and argument of complex number Link SUNIL SHK SBV Lajpat Nagar (1925059)
20. Sr. Secondary Conic Sections My TLM is on conic sections. How the conic sections circle, ellipse ,
parabola and hyperbola are formed when a plane cut the cone at different angles.		 Link Seema Sukhramani SDSKV Old Rajinder Nagar (2128019)
21. Sr. Secondary Probability Probability Tree and Bayes’s Theorem Link Poonam Khanna GGSSS Chattarpur (1923048)
22. Sr. Secondary GRAPHICAL TRANSFORMATION In my TLM I have presented 5 Graphical Tranformation slides (An working Model made up
of Sunboard, battery etc) which enables students to quickly find Domain, Range,
Min value, Max value, No. of solution etc type of question .
Purpose of the TLM is to make its best use in Mental Maths period and enhance
students problem solving skills by Objective approach.		 Link DEEPALI G Co-Ed SSS Site 1 Sector 6 Dwarka (1821206)
23. Sr. Secondary Introduction to 3-D Geom. & Vectors Hello my name is Ashok Kumar Arora, I am PGT Math.
The title of my TLM is INTRODUCTION TO 3D AND VECTORS
Actually the reason behind making it is to bridge between theoretical and visual learning.
And Students may easily understand initial concepts of 2-Dimentional to 3-Dimentional, Vectors and St. Lines.
• As you may see that it is simple in design
• I have re-used waste TV Card Board Box so it is with very less cost
• My TLM is echo friendly too
• It is interactive and based on learning by doing.
• Use of my TLM starts from Middle Standard to Sr. Sec. Level
It has many uses which makes easy to understand by visualising or touching it:-
• The difference between 2D and 3D which starts from Middle Standard
• When I use this TLM in class I felt that students may easily understand the division of space into octants by
intersection of 3 planes. They are able to understand how three exes i.e. x-axis, y-axis and z-axis are mutually
perpendicular to each other.
• Its helps to understand 3D co-ordinate system
• Students may themselves check the change of Sign of coordinates in different octants
• I am feeling comfort to deliver the Concept of P.V. of a point in space.
• Using this accessory which shows the angle made by a vector or line with x-axis, y-axis and z-axis students may
understand the Concept of D.C.’s of a Vector or line / D.R.’s
• Last but not the least this accessory helps the students to easily understand that how two non-parallel lines in space
are there which are non-intersecting known as Skew Lines and this accessory also contains the line of Shortest
Distance. Which helps the students to understand that which S.D. they are calculating in the questions.		 Link Ashok Kumar Arora SBV Jaunapur (1923359)