# Mathematics (M 607) - Grade 6

Unit | Area Covered | Marks | |
---|---|---|---|

Unit 1 |
Knowing our Numbers | 10 | Read more |

Unit 2 |
Whole Numbers and Playing with Numbers | 10 | Read more |

Unit 3 |
Negative Numbers and Integers | 20 | Read more |

Unit 4 |
Fractions and Decimals | 05 | Read more |

Unit 5 |
Algebra | 05 | Read more |

Unit 6 |
Basic Geometry | 10 | Read more |

Unit 7 |
Understanding Elementary Shapes (2-D and 3-D) | 10 | Read more |

Unit 8 |
Menstruation Concept of Perimeter and Introduction to Area | 20 | Read more |

Unit 9 |
Data Handling | 10 | Read more |

Total Marks |
100 |

# Unit 1

**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

# Unit 2

**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

# Unit 3

**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

# Unit 4

**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 figuress

# Unit 5

**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

# Unit 6

**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 circles

# Unit 7

**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)

# Unit 8

**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.

# Unit 9

**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