Syllabus Of Grade VI - Mathematics (M06)

Instructions:

  • Separate marks are given with each section.
Unit Area Covered Marks
Unit 1 Knowing our Numbers 05 read more
Unit 2 Whole Numbers and Playing with Numbers 05 read more
Unit 3 Negative Numbers and Integers 10 read more
Unit 4 Fractions and Decimals 10 read more
Unit 5 Algebra 10 read more
Unit 6 Basic Geometry 10 read more
Unit 7 Understanding Elementary Shapes (2-D and 3-D) 05 read more
Unit 8 Menstruation Concept of Perimeter and Introduction to Area 10 read more
Unit 9 Data Handling 10 read more
Total Marks 100 Time: 3 Hours

Unit 1

Knowing our Numbers

Numbers up to 5 digits

Consolidating the sense of 5 digit numbers, place value of numbers, estimation of numbers to the nearest tens, identifying smaller and larger of the given numbers

Place value of numbers

Recapitulate the concept of place value and extend it to the use of large numbers. Use of connectives

Application of number operations

Word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations

Approximation of large numbers

Introduction to the sense of largeness and familiarity with large numbers up to 8 digits

Back to Top

Unit 2

Whole Numbers and Playing with Numbers

Simplification of Brackets

To identify the types of brackets and apply the rules of the order of simplification of the brackets.

Multiples and Factors

Define and recapitulate the multiples and factors of numbers. To state with examples the divisibility rules of 2, 3, 4, 5, 6, 8, 9, 10, 11. The students may be asked to observe the patterns followed. They may be helped in deducing some and then asked to derive others that are a combination of the basic patterns of divisibility.

Types of Numbers

Even numbers, Odd numbers, Prime numbers, Composite numbers, Co-prime numbers, Prime factorization. Verification of the fact that every number can be written as product of prime factors.

H.C.F. , L.C.M.

Finding out H.C.F. and L.C.M. of given numbers, prime factorization and division method, verification of the property H.C.F. x L.C.M. = Product of two numbers.

Properties of various types of numbers

Recapitulate the concept of natural numbers, whole numbers, properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity), Introduction to number line.

Patterns

Seeing patterns, identifying and formulating rules to be done by students.

Back to Top

Unit 3

Negative Numbers and Integers

Introduction to Negative Numbers

Introduction to the origin and need of negative numbers, models of negative numbers, its connection to the real life.

Extending a Number Line

Extending a number line to represent the negative numbers, Ordering of negative numbers.

Introduction to Integers

Introducing integers, identification of integers on the number line, addition and subtraction of integers.

Operations on Integers

Addition and subtraction of integers, showing the operations on the number line, for example addition of negative integer reduces the value of that number Comparison of integers and understanding the ordering of integers.

Back to Top

Unit 4

Fractions and Decimals

Definition of a Fraction

Defining a fraction as a part of the whole.

Representation of a Fraction

Representing a fraction pictorially and on the number line Representing fraction as division.

Types of Fractions

Define proper fraction, improper fraction, mixed fraction, equivalent fraction.

Operations on Fractions

Comparison of fractions, addition of fractions, subtraction of fraction. Avoid large and complicated unnecessary tasks.

Introduction to Decimals

Review of the idea of a decimal fraction, place value in the context of decimal fraction Representation of decimals on the number line Inter conversion of fractions and decimal fractions (Avoid recurring decimals at this stage).

Operations on Decimals

Comparison of decimals, addition and subtraction of decimals, multiplying and dividing fractions and decimals by a whole number. BODMAS with reference to fractions and decimals.

Estimation

Estimation with fractions and decimals.

Word Problems

Word Problems involving addition and subtraction of decimals on money, mass, length and temperature.

Introduction to the Concept of Ratio

Introducing the concept of ratio and proportion as equality of two ratios. Use of unitary method (with direct variation only). Word problems on the above.

Application of Decimals

Scientific notations, concept of significant figures.

Back to Top

Unit 5

Algebra

Introduction to Variables and Constants

Introduction to the term variable through patterns and through appropriate word problems and generalizations.

Introduction to Algebra

Introducing algebra through generalizations, patterns. Introduction to an algebraic expression, its terms and coefficients, like and unlike terms.

Operations on Algebraic Expressions

Addition and subtraction of algebraic expressions. Value of an algebraic expression.

Linear Equation in One Variable

Simple direct use of symbols in as variables in one term equations e.g., 5xa=10. Word problems on ratio and proportion using common sense strategies.

Back to Top

Unit 6

Basic Geometry

Introduction to Geometry

Reflect and appreciate the application of geometry in everyday life.

Introduction to a Line

Defining a line, line segment and ray. Drawing all of them. Pair of straight lines- intersecting and parallel; perpendicular lines.

Introduction to an Angle

Defining an angle, its vertex, arm, interior and exterior. Types of angle: acute angle, obtuse angle, right angle, straight angle, reflex angle, complete angle and zero angles. Measure of angle, Angle bisector.

Constructions

Drawing a perpendicular to a given line from a point on the line and outside the line Construction of angles equal to the given angle using compass. Construction of angles of measure 60,120,30,90,45 using compass.

Defining a Triangle and its Components

Triangle — vertices, sides, angles, interior and exterior, altitude and median.

Defining a Quadrilateral and its components

Quadrilateral — Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral) Interior and exterior of a quadrilateral.

Defining a Circle and its Components

Circle — Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior Construction of circle.

Back to Top

Unit 7

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

Open and Closed Figures

Observe the shapes around. Talk about them in reference to their boundaries. Defining open and closed figures. Interior and Exterior of a closed figure.

Defining a Polygon

Defining curvilinear and linear boundaries. Introduction to simple polygons, both regular and irregular (up to Octagons).

Triangle

Definition of a triangle, Classification of triangles on the basis of sides and angles.

Quadrilaterals and Types of Quadrilaterals

Defining a quadrilateral and its types- Trapezium, Parallelogram, Rectangle, Square, Rhombus.

Identification of 3-D Shapes I

Identification of Cubes, Cuboids, Cylinder, Sphere, Cone, Prism (triangular), Pyramid (triangular and square); locating them in the surroundings.

Elements of 3D Figures

Identifying the faces, edges and vertices of 3D figures.

Nets of 3D Figures

Create solids namely cube, cuboids, cylinder, cones and tetrahedrons from their nets.

Symmetry

Observe and identify the 2D symmetrical objects for reflection symmetry. Taking mirror images of simple 2D objects. Recognizing symmetry (identifying axes).

Back to Top

Unit 8

Menstruation Concept of Perimeter and Introduction to Area

Introduction to Perimeter

Introducing perimeter using different shapes Understanding that shapes of different kinds may have the same perimeter through examples Perimeter of a rectangle and square as a special rectangle; deducing the formulae through patterns and then generalisation.

Introduction to Area

Introduction to the concept of area. Area of a rectangle and a square. Counter examples to different misconnects related to perimeter and area.

Units of Measurement

Make sensible estimates of measures using standard units of length, mass and capacity.

Back to Top

Unit 9

Handling

Data

Definition of data, representation of discrete data, collection and organization of data- examples of organizing it in tally bars and a table.

Pictograph

Definition, need for scaling in pictographs, construction and interpretation.

Bar Graphs

Construction of bar graphs for a given data and interpretation of bar graphs. Interpretation of tables, lists, charts and graphs.

Back to Top