Roja Rani India

Mathematics, Physics, Electronics

English, hindi and telugu, English, hindi and telugu

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About Me

My teaching focuses on clear understanding and applying maths in real-world contexts like electronics. I use tools like practical examples projects to make learning interactive and relevant. I aim to engage students and help them grasp complex maths topics with practical applications.

I'm T. Roja Rani, a passionate Maths HOD & Electronics Educator with 7yrs experience teaching secondary, +1, +2, and B.Tech students. My interest lies in making mathematics engaging and applicable, especially linking concepts to electronics and technology. I enjoy guiding students to grasp complex topics like algebra and matrices with real-world context. Teaching with clarity and fostering problem-solving skills drives me.

Tags
  • Maths tutor
  • Engineering mathematics

Offering

1. *Expressions & Equations*: 4-6 lessons 2. *Polynomials*: 5-7 lessons 3. *Linear Equations*: 6-8 lessons 4. *Quadratic Equations*: 6-8 lessons 5. *Inequalities*: 4-6 lessons 6. *Functions*: 5-7 lessons 7. Matrices (B.Tech): 6-8 lessons
Curriculum

Here is the complete Course Plan for Algebra

For Secondary (+1, +2) and B.Tech Students

Topics, Lessons, and Activities for Effective Teaching

Course Outline: Algebra

1. Expressions & Equations

- Lessons:

    1. Simplifying algebraic expressions.

    2. Solving linear equations ($ax + b = c$).

    3. Word problems involving equations.

- Activities:

    - Practice Problems: Simplify $3x + 2(x-1)$.

    - Group Work : Solve real-life problems like budgeting.

    -  *Quiz* : Basic equation solving.

 

2. Polynomials

- *Lessons*:

    1. Operations on polynomials (addition, multiplication).

    2. Factorization techniques.

    3. Remainder & Factor theorems.

- *Activities*:

    - *Factorize*: $x^2 + 5x + 6$.

    - *Project*: Use polynomials in modelling growth/decay.

    - *Worksheet*: Mixed polynomial problems.

 

3. Linear Equations

- *Lessons*:

    1. Single variable linear equations.

    2. Systems of linear equations ($2 \times 2$, $3 \times 3$).

    3. Graphical solutions.

- *Activities*:

    - *Graphing*: Plot $2x + y = 4$.

    - *Pair Work*: Solve via substitution/elimination.

    - *Application*: Kirchhoff’s laws (electronics).

 

4. Quadratic Equations

- *Lessons*:

    1. Form: $ax^2 + bx + c = 0$.

    2. Roots using formula: $$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$.

    3. Nature of roots (discriminant).

- *Activities*:

    - *Solve*: $x^2 - 4x + 3 = 0$.

    - *Discussion*: Real-world applications (projectile motion).

    - *GeoGebra*: Plot quadratic graphs.

 

5. Inequalities

- *Lessons*:

    1. Linear inequalities.

    2. Quadratic inequalities.

    3. Graphical representation.

- *Activities*:

    - *Solve & Graph*: $2x + 3 > 5$.

    - *Worksheet*: Mixed inequality problems.

 

6. Functions

- *Lessons*:

    1. Definition, domain, range.

    2. Types: linear, quadratic.

    3. Composition of functions.

- *Activities*:

    - *Identify Domain/Range*: $f(x) = \sqrt{x-1}$.

    - *Group Task*: Real-life function modelling.

 

7. Matrices (B.Tech)

- *Lessons*:

    1. Matrix operations (addition, multiplication).

    2. Determinants, inverses.

    3. Solving systems via matrices.

- *Activities*:

    - *Calculate Inverse*: $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$.

    - *Application*: Circuit analysis (electronics).

    - *Coding (Python)*: Matrix operations.

 

Assessment Strategies

- *Tests*: Conceptual & application-based questions.

- *Projects*: Apply algebra in electronics/Data Science.

- *Quizzes*: Regular checks on understanding.

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Resume

Jntuk
Btech
EIE
2012 — 2016
Mathematics
Veteach
Maths HOD
As a Maths HOD, your key responsibilities include leading the mathematics department, ensuring effective curriculum delivery and student outcomes. You oversee maths teaching strategies, mentor teachers, and drive academic excellence in maths across secondary, +1, +2, and B.Tech levels. You also contribute to setting departmental goals, monitoring performance, and fostering innovation in maths education.
November 2020 — October 2025
Mathematics
TCMS
Maths teacher
I teach maths to 8th, 9th, 10th students
June 2016 — May 2019
No certification found.
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