LEARNATHON
III

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Mathematics State Board

Class 6

  1. Numbers

    1. Formation of Large Numbers, Use of Commas, Comparison of Numbers and Creating New Numbers

    2. Use of Large Numbers in Daily Life Situations and Oder of Operations

    3. Estimation of Numbers

    4. Facts and Properties of Whole numbers

    5. Prime, Composite and Twin Numbers

    6. Rules for Test of Divisibility of Numbers

    7. LCM, HCF, Application and Relationship between HCF and LCM

  2. Introduction to Algebra

    1. Patterns, Patterns in Number Operations and Operations on Variables

    2. Framing Algebraic Statements and Converting Algebraic Statements to Verbal statements and Vice versa

  3. Ratio and Proportion

    1. Ratio and its Properties, and Simplifying Ratios of same and different units

    2. Equivalent and Comparison of Ratios

    3. Proportion and unitary method

  4. Geometry

    1. Lines, Line segments, Rays, Angles, Angle Measurement using Protractor and Special Angles

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

  5. Statistics

  6. Information Processing

    1. Systematic Listing, Completion of Lists and Magic Triangles

    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 and Conversions within the Metric System

    2. Fundamental Operations on Quantities with Different Units

    3. Measures of Time: Reading, Conversion, 12-Hour and 24-Hour Format, and Year

  8. Bill, Profit and Loss

    1. Bills: Verfication and Preparation of a Bill

    2. Profit and Loss

  9. Fractions

    1. Introduction to the fractions

    2. Comparison, Addition and Subtraction of Unlike, Improper and Mixed Fractions

    3. Multiplication and Division of Fractions

  10. Integers

  11. Perimeter and Area

    1. Perimeter: Rectangle, Square and Triangle

    2. Area: Rectangle, Square and Right Angled Triangle

    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 and Properties of Addition

    2. Subtraction of Integers and Properties of Subtraction

    3. Multiplication of Integers: Properties and Distributive Property of Multiplication over Addition

    4. Division of Integers and Properties of Division

    5. Statement Problems on Integers using all Fundamental Operations

    6. Introduction to Decimals

    7. Fractions and Decimals

    8. Comparing and Representation of Decimals

    9. Rounding off Decimals

    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. Fibonacci Numbers, HCF and Cryptology

    3. Packing and Packaging Method

  6. Life Mathematics

    1. Applications of percentage in problems

    2. Profit and Loss

    3. Compound Interest and its Applications

    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

    4. Surds and its Basic Operations and Scientific Notation

  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. Statistics

    1. Measures of Central Tendency and Arithmetic Mean

    2. Median and Mode

  7. Trigonometry

  8. Mensuration

    1. Heron's formula

    2. Surface area of a Cuboid and Cube

    3. Volume of Cube and Cuboid

  9. Probability

Class 10

  1. Assessments

  2. Relations and Functions

    1. Cartesian Product of Sets

    2. Relations

    3. Functions

    4. Representation and Types of Functions

    5. Composition of Functions

  3. Numbers and Sequences

    1. Euclid's Division Lemma

    2. Fundamental Theorem of Arithmetic

    3. Modular Arithmetic, Congruence Modulo and Modulo Operations

    4. Sequences

    5. Arithmetic Progression

    6. Sum to n terms of an A.P.

    7. Geometric Progression

    8. Geometric Series

    9. Special series

  4. Algebra

    1. Simultaneous and System and Linear Equations in Three Variables

    2. GCD and LCM of Polynomials

    3. Rational Expression and its Operations

    4. Square root of polynomials

    5. Zeroes, Roots of Quadratic Equation; Formation and Solving Quadratic Equations

    6. Nature of roots and relation between roots and coefficients of quadratic equation

    7. Quadratic Graphs

    8. Order of Matrices and its Types

    9. Addition and subraction of matrices

    10. Multiplication of matrices

  5. Geometry

    1. Similar Triangles and Its Criteria and Construction of Similar Triangles

    2. Thales and Angle Bisector theorem and Construction of triangles

    3. Pythagoras Theorem

    4. Circles and Tangents

  6. Coordinate Geometry

    1. Area of Triangle and Collinearity of Points

    2. Inclination of Straight, Parallel and Perpendicular Lines

    3. Straight Line and Slope

    4. General Form of Straight Line

  7. Trigonometry

    1. Trigonometric Identities

    2. Heights and Distances

  8. Mensuration

    1. Surface Area of a Right Circular Cylinder, Hollow Cylinder and Right Circular Cone

    2. Surface Area of a Sphere, Hemisphere, Hollow Hemisphere and Frustum of a cone

    3. Volume of a Solid Right Circular Cylinder, Hollow Cylinder and Right Circular Cone

    4. Volume of a Sphere, Hollow Sphere, Solid Hemisphere, Hollow Hemisphere and Frustum of a cone

    5. Volume and Surface Area of Combined Solids

    6. Conversion of Solids from One Shape to Another with No Change in Volume

  9. Statistics and Probability

    1. Measures of Dispersion

    2. Coefficient of Variation

    3. Probability

    4. Algebra of Events and Addition Theorem of Probability

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