## Topics with syllabus and resources

1 Number System

1.01 Integers

syllabus ▼

- Multiplication and division of integers
- Properties of operations on integers: Commutativity, associativity, existence of identity and inverse and distributivity
- Problem solving using operations on integers
- Solution of word problems involving integers (all operations)

- Concepts :
- Concept of Integers
- Multiplication and Division of Integers
- Properties of Operations on Integers
- Concept for Commutativity, Associativity, Existence of Identity
- Inverse and Distributivity
- Problem Solving Using Operations on Integers
- Solution of Word Problems Involving Integers (All Operations)

1.02 Rational Numbers

syllabus ▼

- Introduction to rational numbers (withrepresentation on numberline)
- Word problems onrational numbers (alloperations)
- Decimal representation of rational numbers
- Problem solving using operations on rational numbers and decimal fractions

1.03 Fractions (Including Problems)

syllabus ▼

- Fraction as an operator
- Reciprocal of a fraction

1.04 Decimal Fractions (Decimals)

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- Multiplication and

division of decimal

fractions

1.05 Exponents (Including Laws of Exponents)

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- Exponents only natural numbers.
- Laws of exponents (through observing patterns to arrive at generalisation.)
- Application of laws of exponents in simple daily life problems.

2 Commercial Arithmetic

2.01 Ratio and Proportion (Including Sharing in a Ratio)

syllabus ▼

- Ratio and proportion (revision)

2.02 Unitary Method (Including Time and Work)

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- Unitary method continued, consolidation, general expression for unitary method .
- Speed, distance, time

2.03 Percent and Percentage

syllabus ▼

- Percentage- an introduction.
- Understanding percentage as a fraction with denominator 100
- Converting fractions and decimals into percentage and vice-versa.

2.04 Profit, Loss and Discount

syllabus ▼

- Application to profit and loss (single transaction only)

2.05 Simple Interest

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- Application to simple interest (time period in complete years).

3 Algebra

3.01 Fundamental Concepts (Including Fundamental Operations)

syllabus ▼

- Terms related to algebra like constants, variable, terms, coefficient of terms, like and unlike terms, etc.
- Generate algebraic expressions.
- Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only.

3.02 Simple Linear Equations (Including Word Problems)

syllabus ▼

- Simple linear equations in one variable (in contextual problems) with two operations.
- Inequalities and solution of simple inequalities in one variable

3.03 Set Concepts (Some Simple Divisions by Vedic Method)

syllabus ▼

- Revision idea of sets
- Equal, equivalent, universal sets
- Cardinal property of sets

4 Geometry

4.01 Lines and Angles (Including Construction of Angles)

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Understanding shapes:-

- Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite).
- Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles).
- Construction of a line parallel to a given line from a point outside it .

4.02 Triangles

syllabus ▼

Properties of triangles:-

- Angle sum property
- Exterior angle property
- Construction of simple triangles.

4.03 Pythagoras Theorem

syllabus ▼

- Pythagoras Theorem (Verification only)

- Concepts :
- Concept of Pythagoras Theorem

4.04 Symmetry (Including Reflection and Rotation)

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Symmetry:-

- Recalling reflection symmetry
- Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)

4.05 Recognition of Solids (Representing 3-d in 2-d)

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Representing 3-D in 2-D :-

- Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones).
- Mapping the space around approximately through visual estimation.

4.06 Congruency: Congruent Triangles

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Congruence :-

- Congruence through superimposition
- Extend congruence to simple geometrical shapes e.g. triangles, circles.
- Criteria of congruence

4.07 Mensuration

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- Revision of perimeter and Idea of Circumference of Circle
- Area
- Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, rings and combined figures.

5 Data Handling (Statistics)

5.01 Data Handling

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- Collection and organisation of data – choosing the data to collect for a hypothesis testing
- Mean, median and mode of ungrouped data – understanding what they represent
- Constructing and interpreting bar graphs

5.02 Probability

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Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness.