Unique Online Classes & Pre-Recorded Courses

Are integers confusing? You're not alone—and you're in the right place!

This course will help you fully understand integers using real-life examples, simple explanations, and guided practice. Whether you're just starting or need to strengthen your basics, this is your all-in-one learning experience for mastering integers.

Course Structure:

Lesson 1: Introduction to Integers

• What are integers? Understanding positive & negative numbers, real-life examples

Lesson 2: Representing Integers on a Number Line

• Plotting positive/negative integers on a number line, understanding opposites, and zero’s role

Lesson 3:  Comparing and Ordering Integers

• Using number lines and inequality signs to compare integers

Lesson 4:  Absolute Value of Integers

• Understanding distance from zero, solving problems with absolute values

Lesson 5: Adding Integers

• Rules for addition using number lines and patterns

Lesson 6: Subtracting Integers

• Rules for subtraction and relationship to addition

Lesson 7: Multiplying Integers

• Signs, rules, why two negatives make a positive, patterns

Lesson 8:  Dividing Integers

• Division rules, dividing negative and positive numbers

Lesson 9: Mixed Operations & Word Problems

• Applying all operations to solve multi-step problems

Lesson 10: Review + Assessment

• Full review of all topics, assessment quiz, doubt clearing 3

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Curriculum Structure

Lesson 1: Number System & Number Sense

• Understand different number types such as natural, whole, and integers. Explore the Indian and International numeral systems. Introduction to the concept of sets and their representations.

Lesson 2: Fractions & Decimals

• Identify and compare fractions. Convert between fractions and decimals. Perform operations on decimals. Learn factors, multiples, HCF, and LCM through “Playing with Numbers.”

Lesson 3: Ratio, Proportion & Percent

• Understand and apply the concepts of ratio and proportion. Solve real-life problems using percentages. Learn the relationship between speed, time, and distance.

Lesson 4: Algebra

• Understand variables, constants, and algebraic terms. Frame and simplify basic algebraic expressions.

Lesson 5: Geometry

• Learn different types of angles and their properties. Study triangles and quadrilaterals. Explore circles and lines of symmetry. Practice constructions using a ruler and protractor. Identify and name 3D solid shapes.

Lesson 6: Mensuration

• Measure and calculate the perimeter and area of basic plane figures. Apply formulas to solve real-world problems.

Lesson 7: Data Handling

• Collect and organize data. Interpret pictographs and bar graphs. Understand and calculate mean and median.

• Rational Numbers: Properties of rational numbers (closure, commutativity, associativity, distributive property), representation on the number line, and rational numbers between two rational numbers. 
• Linear Equations in One Variable: Solving equations with linear expressions on one side and numbers on the other, solving equations with variables on both sides, applications of linear equations, and reducing equations to simpler forms. 
• Understanding Quadrilaterals: Polygons, sum of measures of exterior angles of a polygon, different kinds of quadrilaterals (parallelogram, rhombus, rectangle, square, kite, trapezium), and their properties. 
• Data Handling: Looking for information, organizing data, grouping data, circle graphs (pie charts), and chance and probability. 
• Squares and Square Roots: Properties of square numbers, finding the square of a number, Pythagorean triplets, finding square roots through prime factorization and the division method, and square roots of decimals. 
• Cubes and Cube Roots: Cubes and cube roots of a number, finding cube roots through prime factorization. 
• Cubes and Cube Roots: Cubes and cube roots of a number, finding cube roots through prime factorization. 
• Comparing Quantities: Ratios and percentages, finding increase or decrease percent, discounts, prices related to buying and selling (profit and loss), sales tax/VAT/GST, compound interest, and applications of compound interest formula. 
• Algebraic Expressions and Identities: Terms, factors, and coefficients, monomials, binomials, and polynomials, like and unlike terms, addition and subtraction of algebraic expressions, multiplication of algebraic expressions, standard identities, and applying identities. 
• Mensuration: Area of trapezium, area of general quadrilateral, area of polygons, surface area of cube, cuboid, and cylinder, and volume of cube, cuboid, and cylinder. 
• Exponents and Powers: Powers with negative exponents, laws of exponents, and use of exponents to express small numbers in standard form. 
• Direct and Inverse Proportions: Understanding direct and inverse proportions and solving related problems. 
• Factorisation: What is factorization, division of algebraic expressions, and factorization using algebraic identities. 
• Introduction to Graphs: Bar graphs, pie graphs, histograms, line graphs, linear graphs, and their applications.

1. Review of the representation of natural numbers, integers, and rational numbers on the number
   line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers
   (irrational numbers) such as , and their representation on the number line. Explaining
   that every real number is represented by a unique point on the number line and conversely,
   viz. every point on the number line represents a unique real number.
3. Definition of nth root of a real number.
4. Rationalization (with precise meaning) of real numbers
   and (and their combinations) where x and y are natural numbers and a and b are
   integers.
5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases
   (to be done by particular cases, allowing the learner to arrive at the general laws.)

Practical Guide to Rational Numbers

Lesson Name: Rational numbers

• How to divide the pizza?
• How to divide the dough?

Lessons schedule: Monthly, 20 Classes

What you will learn: 

• Recognizing irrational expressions 
• Applying rationalisation techniques
•  Solving algebraic problems with square roots and surds 
• Avoiding common mistakes and improving accuracy 
• This session is suitable for CBSE, ICSE, and State Board students.