Mathematics State Board

Class 6

  1. Numbers

    1. Large numbers

    2. Large numbers in Daily Life Situation and Order of Operations

    3. Estimation of numbers

    4. Properties of Whole numbers

    5. Prime and composite numbers

    6. Divisibility Rule for Numbers

    7. LCM and HCF

  2. Introduction to Algebra

    1. Patterns and Variables

    2. Introduction to Word problem

  3. Ratio and Proportion

    1. Ratio and its Properties

    2. Equivalent and Comparison Ratios

    3. Proportion and unitary method

  4. Geometry

    1. Lines and angles

    2. Types and Properties of a Triangle and Construct Parallel and Perpendicular Lines

  5. Statistics

  6. Information Processing

    1. Systematic Listing

    2. Conversion of 'Tree Diagram/Algebraic Expressions' into 'Numerical Expression/Tree Diagram'

    3. Iterative process, Euclid's game, Following and Devising algorithms, Arranging things

  7. Measurements

    1. Introduction to Measurement

    2. Fundamental Operations on Quantities with Different Units

    3. Measures of Time

  8. Bill, Profit and Loss

    1. Bills

    2. Profit and loss

  9. Fractions

    1. Introduction to the fractions

    2. Addition and Subtraction of Fractions

    3. Multiplication and Division of Fractions

  10. Integers

  11. Perimeter and Area

    1. Perimeter

    2. Area

    3. Combined shapes and Impact on adding/Removing a portion

    4. Area of Irregular Shapes and Expressing Area in Square Units

  12. Symmetry

Class 7

  1. Number system

    1. Addition of Integers

    2. Subtraction of Integers

    3. Multiplication of Integers

    4. Division of Integers

    5. Practical problems on Integers using all Properties

    6. Introduction to Decimals

    7. Fractions and Decimals

    8. Comparing and Representation of Decimals

    9. Decimal conversion

    10. Addition and Subtraction of Decimal Number

    11. Multiplication of decimal numbers

    12. Division of decimal numbers

  2. Measurements

    1. Parallelogram

    2. Rhombus

    3. Trapezium

    4. Circumference of a Circle

    5. Area of a circle

    6. Area of pathways

  3. Algebra

    1. Introduction to Algebra

    2. Addition and Subtraction of Algebraic Expression

    3. Simple linear equation

    4. Exponents and Powers

    5. Unit Digit of Numbers and Degree of Expressions

    6. Introduction to Identities

    7. Factorization Using Identities

    8. Inequations

  4. Direct and Inverse proportion

  5. Geometry

    1. Adjacent Angles and Linear Pair

    2. Transversal Lines and Construction of Angles

    3. Application of Angle Sum Property of Triangle

    4. Exterior angles of a triangle

    5. Construction of triangles using congruence criterion

    6. Geometric transformations and constructions

  6. Information Processing

    1. Tetromino

    2. Route map

    3. Tables, Patterns and Pascal Triangle Leads to Linear Function

    4. Scheduling and Flowcharts

  7. Percentage and Simple Interest

    1. Percentage Conversion Methods

    2. Percentage in real life

    3. Simple Interest

  8. Statistics

    1. Arithmetic mean

    2. Mode and Median

Class 8

  1. Rational numbers

    1. Introduction to Rational numbers

    2. Four Basic Operations on Rational numbers

    3. Properties of Rational number

  2. Measurements

    1. Circle

    2. Combined shapes

    3. 3D shapes

  3. Algebra

    1. Multiplication of Algebraic Expressions

    2. Division of Algebraic Expressions

    3. Application of identities

    4. Factorization

    5. Algebraic Expressions and Equations

    6. Graph

  4. Geometry

    1. Similar, Congruent Triangles and Construction of Quadrilaterals

    2. Pythagorean Theorem and Construction of Trapezium and Parallelogram

    3. Medians and Centroid of a Triangle

    4. Altitude of a triangle

    5. Circumcentre, Incentre, and Constructions

  5. Information Processing

    1. Principle of Counting and Map Colouring

    2. Packing and Packaging Method

  6. Life Mathematics

    1. Applications of percentage in problems

    2. Profit and Loss

    3. Compound Interest

    4. Proportions

    5. Compound Variation

    6. Time and Work and Sharing of the Money for the Work

  7. Numbers

    1. Square Numbers

    2. Square Root

    3. Cube Numbers

    4. Cube Root

    5. Exponents and Powers

  8. Statistics

    1. Frequency Distribution Tables and Pie Charts

    2. Histograms and Frequency Polygons

Class 9

  1. Set Language

    1. Set and its Representation

    2. Types of Sets

    3. Set Operations

    4. Cardinality and Practical Problems on Set Operations-I

    5. Properties of Set Operations

    6. De Morgan's Law

    7. Cardinality and Practical Problems on Set Operations-II

  2. Real Numbers

    1. Rational and Irrational numbers

    2. Decimal Expansion of Rational and Irrational numbers

    3. Real numbers and its Visual Representation

  3. Algebra

    1. Introduction and Arthimetic of Polynomials

    2. Value and zeroes of a Polynomial

    3. Division of polynomial and Remainder Theorem

    4. Algebra of Polynomials

    5. Synthetic Division

    6. Linear Equation in One and Two Variables

    7. Slope and Intercept of a Line

    8. Simultaneous Linear Equations

    9. Consistency and Inconsistency of linear equations in two variables

  4. Geometry

    1. Basics of geometry

    2. Quadrilateral and Construction of Circumcentre and Orthocentre

    3. Geometry of Circles and Construction of Incircle and Centroid

  5. Coordinate Geometry

    1. Co-ordinate system and Properties of distance

    2. Midpoint and Points of Trisection

    3. Section Formula and Centroid

  6. Mensuration

    1. Heron's formula

    2. Surface area of a Cuboid and Cube

    3. Volume of Cube and Cuboid

  7. Probability

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