I am Amruta Kharote a dedicated educator with 9 years of teaching experience. Specializes in Phonics, Handwriting, Vedic, and Academic subjects. Through my programs and expertise, I nurtures young readers, fostering a love for books. My focus on phonics helps students become confident readers. I also emphasizes legible and efficient handwriting skills. 

Degree: Bachelors of Commerce - University: MS university

Degree: Masters of Commerce - University: MS university

Degree: ECCED - University: Helen o'grany

The ICSE class 6 maths focuses on building and encouraging students to learn various methods and tools used in solving maths in various fiels and also in our daily work.

• Learning Objectives:

  UNIT 1:Number System

  UNIT 2:Ratio and Proportion

  UNIT 3:Algebra

  UNIT 4:Geometry

  UNIT 5:Mensuration

  UNIT 6:Data Handling

   

• Course Outline:

  Unit 1. Number System

  Numbers

  ●Consolidating the sense and format of different numbers up to five digits, estimation of numbers, identifying smaller, larger numbers, etc.

  ●Place value

  ●Operations and word problems on number operations involving large numbers – Conversions of different units of length and mass (from the smaller to the larger units and vice versa).

  ●Estimation of the outcome of various number related operations.

  ●Introduction to very large format of numbers up to 8 digits. Familiarity and approximation with large numbers

  ●Study of numbers in International and Indian Systems and their comparison.

  Natural numbers and Whole numbers

  ●Natural numbers.

  ●Whole numbers.

  ●Properties of numbers ( associative, commutative, distributive, multiplicative identity, additive identity).

  ●Identifying number patterns and formulating rules for operations on numbers.

  ●Number line.

  Negative Numbers and Integers

  ●Need for negative numbers.

  ●Connection of negative numbers in daily life.

  ●Representation of negative numbers on the number line and order of negative numbers, Integers.

  ●Identification of integers on the number line

  ●Operation of addition and subtraction of integers

  ●Addition of integers and subtraction of integers on the number line

  ●Comparison of integers and ordering of integers.

   

  Sets

  ●The idea of sets.

  ●Representation of sets.

  ●Types of sets: Finite or infinite and empty.

  ●The cardinality of a set.

   

  Fractions

  ●Revision of fraction.

  ●Fractions as a part of the whole.

  ●Representation of fractions (pictorially and on the number line).

  ●Fraction as a division.

  ●Proper, improper & mixed fractions.

  ●Equivalent fractions.

  ●Comparison of fractions

  ●Operations on fractions

  ●Understanding of working of decimal fractions.

  ●Place value in the context of a decimal fraction.

  ●Interconversion of fractions and decimal fractions.

  ●Word problems involve addition and subtraction of decimals (two operations on money, mass, length and temperature).

   

  Playing with numbers

  ●Simplification of different forms of brackets.

  ●Factors and Multiples.

  ●Rule of divisibility for 2, 3, 4, 5, 6, 8, 9, 10, 11.

  ●Prime & Composite numbers.

  ●Even and odd number study.

  ●Other topics around prime factorisation, co-prime numbers, every number is product of its prime factors.

  ●HCF and LCM, prime factorisation and division method for HCF and LCM.

   

  Unit 2. Ratio and Proportion

  ●            Difference between Ratio and Fraction.

  ●            Concept of Ratio.

  ●            Proportion as the equality of two ratios.

  ●            Unitary method (only with direct variation implied).

  ●            Word problems on ratio and proportions.

  ●            The idea of percent as a fraction with 100 as a denominator

  ●            The idea of speed and simple daily life problems related to time, speed and distance.

   

  Unit 3. Algebra

  ●Introduction to constants, variables and unknowns through patterns through appropriate word problems and generalisations.

  ●Generate such patterns with more examples and generalisations.

  ●Introduction to unknowns using examples of single operations.

  ●Terminology associated with algebra- literal numbers, terms, factors, expressions, coefficient, degree, polynomials.

  ●Framing algebraic expressions.

  ●Like and unlike terms.

  ●Evaluation of various algebraic expressions by substituting a value for the given variable.

  ●Introduction to a linear equation in one variable.

   

  Unit 4. Geometry

  Basic geometrical ideas (2-D)

  ●Introduction to geometry.

  ●Line, line segment, and ray.

  ●Different forms of interior and exterior closed figure.

  ●Open and closed figures.

  ●Linear boundaries, Curvilinear boundaries

  ●Triangle – angles, vertices, sides, exterior and interior angles, altitude and median.

  ●Angle – Arm, vertex, exterior and interior.

  ●Quadrilaterals – Aspects of sides, angles,vertices, diagonals, adjacent sides and opposite sides, interior and exterior of a quadrilateral.

  ●Circle – Centre, diameter, radius, arc, chord, sector, segment, circumference, semicircle, interior and exterior.

   

  Understanding Elementary Shapes (2-D and 3-D)

  ●The measure of Line Segment,

  ●The measure of angles.

  ●Pair of lines – Perpendicular lines and intersecting lines, Parallel lines.

  ●Types of Angles – Acute, obtuse, right, reflex, straight, complete and zero angles.

  ●Classification of triangles based on sides and angles.

  ●Types of quadrilaterals – Rectangle, square, trapezium, parallelogram, rhombus.

  ●Identification of 3-D shapes: Cubes, Cuboids, cylinders, spheres, cones, prism (triangular and square), pyramid (triangular and square), Identification and location in the surroundings.

  ●Elements of 3-D figures. (Faces, Edges and vertices).

  ●Nets for cubes, cuboids, cones, cylinders, and tetrahedrons.

   

  Constructions (reflection)

  ●Study of 2-D symmetrical objects for reflection symmetry.

  ●Understanding of reflection (taking mirror images) of simple 2-D objects.

  ●Recognising reflection symmetry (identifying axes).

   

  Constructions using Straight edge Scale, protractor, compasses

  ●Drawing of a line segment.

  ●Perpendicular bisector.

  ●Construction of angles (using a protractor).

  ●Angle 60°, 120° (Using Compasses)

  ●Angle bisector- making angles of 30°, 45°, 90° etc. (using compasses).

  ●An angle equal to a given angle (using a compass.)

  ●Drawing a line perpendicular to a given line from a point a) on line b) outside the line.

  ●Construction of a circle.

   

  Unit 5. Mensuration

  ●Concept of perimeter and introduction to the area

  ●Introduction and a general understanding of perimeter using many shapes.

  ●Shapes of different kinds with the same perimeter.

  ●Area concepts and area of a rectangle and a square

  ●Conversion of units (Mass, money, time and capacity) from smaller to larger and vice-versa

  ●Counterexamples to different misconceptions related to perimeter and area.

  ●The perimeter of a rectangle and its special case – a square.

  ●Deduction of a formula of the perimeter for a rectangle and square through pattern and generalisation.

   

  Unit 6. Data Handling

  ●Collection of data to examine a hypothesis

  ●Collecting and organising data – examples of organising it in tally format bars and a table.

  ●Pictograph – Need for scaling in pictographs interpretation & construction of pictograph

  ●Mean of data having at most ten observations.

  ●Construction of different bar graphs for given data interpreting bar graphs. 

• Recomended Audience:

  The audience of this course is students of Grade-6  from ICSE Board. All the Chapters are well designed and its coverage as per latest curriculum released by the board. Still Student have complete flexibility to enhance or modify the course coverage during the course of learning process with Teacher. We are expecting that students of Grade-6 should drive their classes with Teacher as per chapters mentioned and also as per syllabus of their school and applicable School district or Board.

• Pre-Requisite Requirement:

  For attending this course, prior knowledge of Grade-5 Mathematics   is required, this course assumes that students have prior experience with all the topics of Mathematics of Grade-5 . This is not an Introductory class for absolute beginners on Mathematics   of Grade-6 . So therefore,  Participants should already be familiar with the basic concepts..

   

• Course Level:
  Intermediate
• Language of Teaching:
  English, Hindi
• Class Schedule Availiability:
  Evening