## Unit 1: Integers

Multiplication and Division of Integers

Practise Now

Introducing multiplication and division of integers through patterns. Showing that division by zero is meaningless.

Properties of Integers

Properties of addition and multiplication of integers viz closure, commutative, associative, distributive through patterns.

Counter examples to show that the properties do not hold good for subtraction

Application of Number Operations

Word problems on number operations for integers.

BODMAS

Recapitulating and applying the BODMAS rule.

## Unit 2: Fractions and Decimal

Multiplication of Fractions Practise Now

Recapitulate the concept of fractions and its types; addition, subtraction and comparison of two or more fractions. Multiplication of two given

Applications of Decimals in Problem Solving

Practise Now

Word problems involving decimal fractions understanding the importance of fractions in real world problems.

Application of the BODMAS rule in solving the problems involving fractions and decimals.

## Unit 3: Introduction to Rational Numbers

Introduction to Rational NumbersPractise Now

Introduction to rational numbers and its need as an extension of fractions.

Operations on Rational Numbers

Addition, subtraction, multiplication and division of rational numbers with reference to the operations on fractions.

Representation of Rational Number as Decimal

Represent rational number as a decimal, as an extension of representation of fraction, as decimal.

Applications of Laws of Exponents

Applying the laws of exponents to solve the problems with different operations.

Writing large numbers in standard form using the laws of exponents and vice versa.

## Unit 5: Algebraic Expressions

Formation of Algebraic Expressions

Recapitulate algebraic expressions and terms involved. Generate simple algebraic expressions involving one or two variables.

Identify constants, variables, coefficients, powers.

Like and Unlike Terms

Defining like and unlike terms through examples; defining degree of an algebraic expression (degree <=3).

Operations on Algebraic Expressions

Addition and subtraction of algebraic expressions with integral coefficients. Multiplying single term over a bracket, taking out single term common factors, expanding the product of two linear expressions (binomial by binomial).

PercentagePractise Now

Introduction to the concept of percentage Understanding percentage as a fraction with denominator 100.

Converting fractions and decimals into percentage with denominator.

Conversions Into/from PercentagePractise Now

Converting fractions and decimals into percentage and vice-versa.

Applications in Problems SolvingPractise Now

Applications of ratio and proportion, and percentage in profit and loss (single transactions only). Applications to simple interest (time period in complete years)

## Unit 7: Understanding Shapes

AnglesPractise Now

Understanding the concept of an angle, pairs of angles viz. linear, supplementary, complementary,adjacent, vertically opposite (Verification of these angles).

rotation through 90° and 180° of simple figures. Examples of figures with reflection and rotational symmetry.

## Unit 9: Representing 3D in 2D

2D and 3D Figures

Drawing 3D and 2D figures in 2D showing all the faces.

Identification 3D figures

Identifying 3 D pictures of various objects and matching them with their names.

Components of 3D figures

Identification and counting of vertices, edges and faces; nets(for cubes, cuboids, cylinders and cones).

## Unit 10: Congruence

Introduction to the Concept

Introducing the concept of congruence through examples of superimposition.

Extend congruence to simple geometrical shapes e.g., triangles, circles.

Area Bounded between two Figures

Practise Now

Area between two rectangles and two concentric circles.

## Unit 12: Data Handling

Collection and Organisation

Collection and organization of data- choosing the data to collect for a hypothesis testing.

Mean, Median and Mode

Mean, Median and Mode of an ungrouped data- understanding what they represent.

Bar Graph

Constructing bar graph and reading the same.

Case Study

Specify a problem; plan and carry out the four stages of data handling process:

Plan, collect, organize and interpret. Identify what further information may be needed to answer the enquiry. Identify the primary data that needs to be collected in discrete data: collect, organize and tabulate data.