Hello, I am Komal Garg, an enthusiastic and dedicated educator with a passion for fostering learning and growth in elementary students. With over two years of experience managing personal teaching classrooms, I am committed to creating a supportive and engaging environment where every student can thrive. My journey in education began with my undergraduate studies at S.D Public School, Jagadhri, where I was honored with the Best Student Award. This early recognition fueled my passion for learning and set the foundation for my academic pursuits. During my time at M.L.N College, Yamunanagar, where I pursued a Bachelor of Commerce, I actively participated in extracurricular activities, honing my organizational and communication skills. Building on this foundation, I continued my academic journey with a Master's of Commerce (M.Com) from DAV Girls College, Yamunanagar, where I further developed my expertise and prepared for national exams through seminars and practical experiences. Additionally, my pursuit of a Bachelor of Education at Dharma Institute allowed me to gain valuable teaching experience and certifications, solidifying my commitment to the field of education.

Degree: Bachelors of Commerce - University: M.L.N College

Degree: Masters of Commerce - University: DAV College

Degree: B.Ed - University: Dharma Institute

Here we will focus on the following :

1. To acquire knowledge and understanding of the terms, symbols, concepts, principles, processes, proofs, etc. of mathematics. 
2. To develop an understanding of mathematical concepts and their application to further studies in mathematics and science. 
3.  To develop skills to apply mathematical knowledge to solve real-life problems. 
4.  To develop the necessary skills to work with modern technological devices such as calculators and computers in real-life situations. 
5.  To develop drawing skills, and skills of reading tables, charts and graphs. 
6.  To develop an interest in mathematics.

• Learning Objectives:

  UNIT 1. Commercial Mathematics

  UNIT 2. Algebra

  UNIT 3. Geometry

  UNIT 4. Mensuration

  UNIT 5. Trigonometry

  UNIT 6. Statistics

  UNIT 7. Probability

• Course Outline:

  UNIT 1. Commercial Mathematics

   

  CHAPTER 1 Goods and Services Tax (GST)

  Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases. Candidates are also expected to find price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST) - the different rates as in vogue on different types of items will be provided. Problems based on corresponding inverse cases are also included.

   

  CHAPTER 2- Banking  

  Recurring Deposit Accounts: computation of interest and maturity value using the formula:

  I=P× nn+12×12 ×r100 <>< style="font-size:11pt">UNIT 2. Algebra

   

  CHAPTER 3-  Linear Inequations  

  Linear Inequations in one unknown for x ∈ N, W, Z, R.  Solving:  Algebraically and writing the solution in set notation form.  Representation of solution on the number line.

   

  CHAPTER 4- Quadratic Equations in one variable

  (a) Nature of roots   Two distinct real roots if b2< dir xss=removed> – 4ac > 0  Two equal real roots if  b2< dir xss=removed> – 4ac  = 0  No real roots if  b2< dir xss=removed> – 4ac < 0>

  (b) Solving Quadratic equations by:  Factorisation  Using Formula.

  (c) Solving simple quadratic equation problems.

   

  CHAPTER 5- Ratio and Proportion

  (a) Proportion, Continued proportion, mean proportion (b) Componendo, dividendo, alternendo, invertendo properties and their combinations.

   

  CHAPTER 6- Factorisation of polynomials:

   (a) Factor Theorem. (b) Remainder Theorem. (c) Factorising a polynomial completely after obtaining one factor by factor theorem. 

   

   

   

  CHAPTER 7- Matrices

   (a) Order of a matrix. Row and column matrices. (b) Compatibility for addition and multiplication. (c) Null and Identity matrices.  (d) Addition and subtraction of 2 × 2 matrices. (e) Multiplication of a2< dir xss=removed>  × 2 matrix by   a non-zero rational number   a matrix.

   

  CHAPTER 8- Arithmetic Progression 

  Finding the General term of an A.P.  Finding Sum of first ‘n’ terms of an A.P. 

   

  CHAPTER 9- Co-ordinate Geometry

   (a) Reflection

   (i) Reflection of a point in a line: x=0, y =0, x= a, y=a, the origin.

  (ii) Reflection of a point in the origin.   (iii) Invariant points.

   

   (b) Co-ordinates expressed as (x, y), Section formula, Midpoint formula, Concept of slope, equation of a line, Various forms of straight lines. 

  (i) Section and Mid-point formula (Internal section only, co-ordinates of the   centroid of a triangle included).

   (ii) Equation of a line:   Slope –intercept form y = mx +  c  Two- point form (y-y1) = m(x-x1) Geometric understanding of ‘m’ as slope/ gradient/ tan θ where θ  is the angle the line makes with the positive direction of the x axis. Geometric understanding of ‘c’ as the y-intercept/the ordinate of the point where the line intercepts the y axis/ the point on the line where x=0.  Conditions for two lines to be parallel or perpendicular. 

   

  UNIT 3. Geometry

   

   CHAPTER 10- Similarity

  Similarity, conditions of similar triangles. (i) Comparison with congruency, keyword being proportionality. (ii) Three conditions: SSS, SAS, AA. Simple applications (proof not included). (iii) Applications of Basic Proportionality Theorem.

   

  CHAPTER 11- Circles

   (i) Angle Properties -

  •  The angle that an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circle.
  •  Angles in the same segment of a circle are equal.
  •  Angle in a semi-circle is a right angle.

   (ii) Cyclic Properties: 

  • Opposite angles of a cyclic quadrilateral are supplementary.
  •  The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.

  (iii) Tangent and Secant Properties: 

  • The tangent at any point of a circle and the radius through the point are perpendicular to each other.
  •  If two circles touch, the point of contact lies on the straight line joining their centres.  From any point outside a circle, two tangents can be drawn, and they are equal in length. 
  • If two chords intersect internally or externally then the product of the lengths of the segments are equal.
  •  If a chord and a tangent intersect externally, then the product of the lengths of segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
  •  If a line touches a circle and from the point of contact, a chord is drawn, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments.

   

  CHAPTER 11- Constructions

  (a) Construction of tangents to a circle from an external point

  (b) Circumscribing and inscribing a circle on a triangle and a regular hexagon.

   

  UNIT 4. Mensuration

   

  CHAPTER 12- Area and volume of solids –

  Cylinder, Cone and Sphere. Three-dimensional solids - right circular cylinder, right circular cone and sphere: Area (total surface and curved surface) and Volume. Direct application problems including cost, Inner and Outer volume and melting and recasting method to find the volume or surface area of a new solid. Combination of solids included.

   

  UNIT  5. Trigonometry

   

  CHAPTER 13- Trigonometry ratios

  (a) Using Identities to prove simple algebraic trigonometric expressions sin2A + cos2 A < dir xss=removed>= 1 ,                    1 +  tan2< dir xss=removed>A = sec2< dir xss=removed>A,  1+sec2< dir xss=removed> A = cosec2< dir xss=removed> A; 0 ≤ A ≤ 90°

   

  CHAPTER 14- Heights and distances:

   Solving 2-D problems involving angles of elevation and depression using trigonometric tables. 

   

  UNIT 6. Statistics Statistics –

  basic concepts, Mean, Median, Mode. Histograms and Ogive.

   (a) Computation of:  Measures of Central Tendency: Mean*, median class and modal class for grouped data (only continuous data). * Mean by all 3 methods included:

   Direct ,Short-cut, Step-deviation:

   (b) Graphical Representation. Histograms and Less than Ogive. • Finding the mode from the histogram, the upper quartile, lower Quartile and median etc. from the ogive. • Calculation of inter Quartile range.

   

  UNIT 7. Probability

   Random experiments, Sample space, Events, definition of probability, Simple problems on single events.

   

   

   

• Recomended Audience:

  The audience of this course is students of Grade-10 from ICSE Board. All the Chapters are well designed and its coverage as per latest curriculum released by the board. Still Student have complete flexibility to enhance or modify the course coverage during the course of learning process with Teacher. We are expecting that students of Grade-10 should drive their classes with Teacher as per chapters mentioned and also as per syllabus of their school and applicable School district or Board.

   

   

   

   

   

• Pre-Requisite Requirement:

  For attending this course, prior knowledge of Grade-9  Maths is required, this course assumes that students have prior experience with all the topics of Maths  of Grade-9. This is not an introductory class for absolute beginners on Maths of Grade-9! Participants should already be familiar with chapters like algebra, trigonometry, mensuration etc.

• Course Level:
  Intermediate
• Language of Teaching:
  English, Hindi
• Class Schedule Availiability:
  Evening