Introduction to Data Handling

Representative values and arithmetic mean

Mode

Median

Introduction to Bar Graphs

Drawing double bar graph

Chance and Probability

Introduction to Simple Equations

What equation is?

Transpose method for solving equations

From solution to equation

Applications of Simple Equations to Practical Situations

Introduction to Lines and Angles

Related Angles

Linear Pair and Vertically Opposite Angles

Pairs of Lines

Properties of parallel lines

Introduction to Triangles

Medians of a triangle

Altitudes of a Triangle

Exterior angle of a triangle and its property

Angle sum property of a triangle

Two special triangles : Equilateral and Isosceles

Sum of the lengths of two sides of a triangle

Right-angled triangles and Pythagoras property

Proof of Pythagoras Theorem

Introduction to congruence of triangles

The congruence of line segments and angles

Congruence of triangles

SSS Congruence criterion

SAS Congruence criterion

ASA Congruence criterion

Congruence among right-angled triangles

Introduction to Comparing Quantities

Equivalent Ratios

Meaning of percentage

Converting Fractional Numbers to Percentage

Converting decimals to percentage

Converting Percentages to Fractions or Decimals

Parts always add to give a whole

Use of percentages in real life

Ratios to Percents

Increase or Decrease as Percent

Profit or Loss as a Percentage

Charge Given on Borrowed Money or Simple Interest

Rational Numbers

What are Rational Numbers?

Equivalent rational numbers

Positive and Negative Rational Numbers

Rational numbers on a number line

Rational numbers in standard form

Comparison of Rational Numbers

Rational Numbers between Two Rational Numbers – I

Rational Numbers between Two Rational Numbers – II

Addition of Rational Numbers

Additive Inverse of Rational Numbers

Subtraction of rational numbers

Multiplication of Rational Numbers

Reciprocal of Rational Numbers

Division of Rational Numbers

Word Problems-I

Word Problems-II

Word Problems-III

Construction of a line parallel to a given line, through a point not on the line

Constructing a triangle when the lengths of its three sides are known (SSS criterion)

Constructing a triangle (SAS criterion)

“Constructing a triangle (ASA criterion) “

Constructing a triangle (RHS criterion)

Introduction to Perimeter and Area

Squares and Rectangles

Triangles as Parts of Rectangles

Generalising for other Congruent Parts of Rectangles

Area of a parallelogram

Area of a triangle

Circumference of a Circle

Area of Circle

Conversion of Units

Applications

How are expressions formed?

Terms of an expression

Factors of a term

Coefficients

Like and Unlike Terms

Monomials, Binomials, Trinomials and Polynomials

Adding like terms

Subtracting like terms

Adding general algebraic expressions

Subtracting general algebraic expressions

Problem related to addition and subtraction of algebraic expressions

Problem related to addition and subtraction of algebraic expressions-II

Problem related to addition and subtraction of algebraic expressions-III

Finding the value of an expression

Finding the value of an expression: Examples-I

Finding the value of an expression: Examples-II

Using Algebraic Expressions in Formulas

Using Algebraic Expressions in Writing Rules

Some number patterns

Pattern in geometry

Introduction to Exponents and Powers

Concepts of exponents-I

Concepts of exponents-II

Concepts of exponents-III

Concepts of exponents-IV

Concepts of exponents-V

Concepts of exponents-VI

Multiplying Powers with the Same Base

Dividing Powers with the Same Base

Taking Power of a Power

Multiplying Powers with the Same Exponents

Dividing Powers with the Same Exponents

Numbers with exponent zero

Examples using the Laws of exponents

Decimal number system

Expressing large numbers in the standard form

Introduction to Symmetry

Lines of symmetry for regular polygons

Line of symmetry and mirror reflection

Rotational Symmetry

Line Symmetry and Rotational Symmetry

Introduction: Plane Figures and Solid Shapes

Faces, Edges and Vertices

Nets for Building 3-D Shapes

Oblique Sketches

Isometric Sketches

Views of an object