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Name of the Chapter & Topics in the syllabus

1. Rational Numbers

1) Properties of Rational numbers

2) Distributive property of multiplication over addition

3) Representation of Rational numbers on the number line.

4) Inserting Rational numbers between two given rational numbers

5) Decimal representation of rational numbers

6) Conversion of decimal numbers into rational numbers.

2.Linear Equations in one variable

1) Linear Equations

2)Simple Linear equation in one variable

3)Solving Simple equation having the variable on one side

4)Solving equation that has variables on both the sides

5)Reducing Equations to Simpler Form - Equations Reducible to Linear Form

3 Constructions of quadrilaterals

1) Quadrilaterals and their Properties

2) Constructing a Quadrilateral-

(i) when four sides and one angle are given (S.S.S.S.A)

(ii) when four sides and one diagonal are given (S.S.S.S.D)

(iii) when three sides and two diagonals are given(S.S.S.D.D)

(iv) when two adjacent sides and three angles are given (S.A.S.A.A)

(v) when three sides and two included angles are given (S.A.S.A.S)

(vi) Construction of special types of quadrilaterals – Rhombus, square

Constructing a Quadrilateral-

1. i) when three sides and two diagonals are given(S.S.S.D.D)

1. ii) When two adjacent sides and three angles are given (S.A.S.A.A)

iii) Construction of special types of quadrilaterals – Rhombus, square

4. Exponents and Powers

1) Powers with negative exponents

2)Laws of Exponents

3) Application of Exponents to Express numbers in Standard Form

4) Comparing very large and very small numbers

5.Comparing quantities using proportion

1)Compound ratio

2)Percentage and to find increase or decrease percent

3) Discounts

4) Estimation in percentages

5)Profit and Loss

6)Sales Tax/ Value added tax(VAT)

7) Goods and Service Tax (GST)

8) Compound interest – deducing formula

9) Compound interest calculated

1. i) annually

(ii) Half yearly

10)Applications of compound interest

6.Square roots and cube roots

1) Properties of square numbers

2) Interesting patterns in square

3)Pythagorean triplets

4)Square roots

(i) Finding square root through subtraction of successive odd numbers

(ii) Finding square root through prime factorization

(iii) Finding square roots by division method

1. iv) Square roots of decimals using division method

5) Estimating square roots of non perfect square numbers

6) cubic numbers

7) Some interesting patterns in cubic numbers

8) cubes and their prime factors

9) cube root

(i) finding cube root through prime factorization

(ii)Estimating cube root

7.Frequency distribution table and Graphs

1) Basic measures of central tendency

2) Organization of a grouped data

3) Cumulative frequency

4) Graphical representations

1. i) Bar graph
2. ii) Histogram

iii) Frequency polygon

8.Exploring Geometrical figures

1) Congruency of shapes

2) Similar shapes

3) Dilation and its construction

4)Symmetry

9.Area of plane figures

1) Area of Trapezium

2) Area of quadrilateral

3) Area of Rhombus

4) Surveying the field

5) Area of a polygon

6) Area of a circle

7) Area of Ring

8) Length of arc

9) Area of Sector

10.Direct and inverse Proportions

1) Direct Proportion

2) Inverse Proportion

3) Compound Proportion

11. Algebraic Expressions

1) Like and unlike terms

2) Addition and subtraction of algebraic expressions

3) Multiplication of Algebraic Expressions

1. i) Multiplying a monomial by a monomial

1. ii) Multiplying a binomial or trinomial by a monomial

iii) Multiplying a binomial by a binomial or trinomial

4) What is an Identity?

1. i) Some important identities
2. ii) Application of Identities

iii) Geometrical Verification of identities

12.Factorization

1)Factors of Algebraic expressions

2)Need of Factorization

3) Method of common factors

4) Factorization by grouping the terms

5) Factorization using identities

6) Factors of the form

(x + a) (x + b) = x2 + (a + b)x + ab

7) Cyclic quadrilateral

8) Division of algebraic expressions

1. i) Division of a monomial by another monomial

1. ii) Division of an expression by a monomial

iii) Division of an expression by Expression

13.Visualizing 3D in 2D

1) 3-D Objects made with cubes

2) Representation of 3-D figures on 2-D

3) Various Geometrical Solids

4) Faces, Edges and Vertices of 3D- Objects

5) Regular Polyhedron

6) Number of Edges , Faces and Vertices of polyhedrons

7) Net Diagrams

14.Surface areas and volumes

1) Cuboid

2) Cube

3) Volume of Cuboid and Cube

15. Playing with Numbers

1) Expanded form

2) Divisibility tests of 2, 3, 4, 5, 6, 7, 8, 9, and 11 for a two or three digit

number expressed in the general form.

3) Finding sum of consecutive numbers.

4) Puzzles and divisibility rules