math with Tara

Tara

Hi, I'm Tara. I teach mathematics from NCERT textbooks for classes 6–10. This page collects my chapter notes, worked examples and practice problems for my students.

Lessons

Class 8 — NCERT
Mathematics, NCERT (2024 edition)
2 chapters ▶
  1. 01

    Chapter 1 — Rational Numbers

    Properties, representation on the number line, operations.

    What we'll cover

    • Closure, commutativity, associativity under addition and multiplication
    • Representation of rational numbers on the number line
    • Finding rational numbers between two given rationals

    Try this

    1. Show that the sum of two rational numbers is always rational.
    2. Find three rational numbers between 2/5 and 3/4.
    2/53/4
    Rational numbers between 2/5 and 3/4.
  2. 02

    Chapter 2 — Linear Equations in One Variable

    Solving equations with the variable on both sides; applications.

    Key idea

    A linear equation in one variable has the form ax + b = 0 where a ≠ 0. The solution is the value of x that makes both sides equal.

    Worked example

    Solve: 3(x − 2) + 5 = 2x + 4

    3x − 6 + 5 = 2x + 4
3x − 1 = 2x + 4
x = 5
Class 9 — NCERT
Mathematics, NCERT (2024 edition)
1 chapter ▶
  1. 01

    Chapter 1 — Number Systems

    Real numbers, irrationals, decimal expansions.

    Real numbers can be either rational or irrational. Every real number corresponds to a unique point on the number line. We'll see why √2 is irrational, and what makes a decimal expansion terminating, recurring, or non-recurring.

How my classes work

Each chapter starts with a short concept walk-through, followed by worked examples and a small set of practice problems. Doubts can be sent to me on WhatsApp — I usually reply the same evening.

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