CBSE class 6 mathematics maths covers topics knowing our numbers, whole numbers, symmetry, playing with numbers, factors and multiples, understanding elementary shapes, constructions, ratio proportion, basic geometrical ideas, integers, fractions, decimals, data handling, mensuration, perimeter and area, algebra, practical geometry, shapes, access study material for mathematics maths, students can free download in pdf, practice to get better marks in examinations. all study material has been prepared based on latest guidelines, term examination pattern and blueprint issued by cbse and ncert
click on tabs below for class 6 mathematics maths worksheets, assignments, syllabus, ncert cbse books, ncert solutions, hots, multiple choice questions (mcqs), easy to learn concepts and study notes of all class 6 mathematics maths chapters, online tests, value based questions (vbqs), sample papers and last year solved question papers
Class 6 mathematics syllabus, examination structure and important topics. The syllabus for class 6 is mainly driven by the topics given in the mathematics books issued by NCERT books, most of the schools are also recommending books of other publishers which have additional worksheets, which the students can practice to score better in class tests and school level examinations. Details of important topics is given below:
Number System (60 hrs)
(i). Knowing our Numbers:
Consolidating the sense of number ness up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, >, < <,>and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass (from the larger to the smaller units), estimation of outcome of number operations. Introduction to a sense of the largeness of, and initial familiarity with, large numbers up to 8 digits and approximation of large numbers)
(ii). Playing with Numbers:
Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, and 11. (All these through observing patterns. Children would be helped in deducing some and then asked to derive some that are a combination of the basic patterns of divisibility.) Even/odd and prime/composite numbers, Co-prime numbers, prime factorization, every number can be written as products of prime factors. HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM × HCF = product of two numbers. All this is to be embedded in contexts that bring out the significance and provide motivation to the child for learning these ideas.
(iii). Whole numbers
Natural numbers, whole numbers, properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity), number line. Seeing patterns, identifying and formulating rules to be done by children. (As familiarity with algebra grows, the child can express the generic pattern.)
(iv).Negative Numbers and Integers
How negative numbers arise, models of negative numbers, connection to daily life, ordering of negative numbers, and representation of negative numbers on number line. Children to see patterns identify and formulate rules. What are integers, identification of integers on the number line, operation of addition and subtraction of integers, showing the operations on the number line (addition of negative integer reduces the value of the number) comparison of integers, ordering of integers.
(v). Fractions: Revision of what a fraction is, Fraction as a part of whole, Representation of fractions (pictorially and on number line), fraction as a division, proper, improper & mixed fractions, equivalent fractions, comparison of fractions, addition and subtraction of fractions (Avoid large and complicated unnecessary tasks). (Moving towards abstraction in fractions) Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage), word Problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature)
Algebra (15 hrs.)
Introduction To Algebra
- Introduction to variable through patterns and through appropriate word problems and generalizations (example 5 × 1 = 5 etc.)
- Generate such patterns with more examples.
- Introduction to unknowns through examples with simple contexts (single operations)
Ratio and Proportion (15 hrs.)
- Concept of Ratio
- Proportion as equality of two ratios
- Unitary method (with only direct variation implied)
- Word problems
Geometry (65 hrs.)
(i).Basic geometrical ideas (2 -D):
Introduction to geometry. Its linkage with and reflection in everyday experience.
Line, line segment, ray.
Open and closed figures.
Interior and exterior of closed figures.
Curvilinear and linear boundaries
Angle — Vertex, arm, interior and exterior,
Triangle — vertices, sides, angles, interior and exterior, altitude and median
Quadrilateral — Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral are to be discussed), interior and exterior of a quadrilateral.
Circle — Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior.
(i). Understanding Elementary
Shapes (2-D and 3-D):
- Measure of Line segment
- Measure of angles
- Pair of lines – Intersecting and perpendicular lines – Parallel lines
- Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle
- Classification of triangles (on the basis of sides, and of angles)
- Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.
- Simple polygons (introduction) (Up to octagons regulars as well as non-regular).
- Identification of 3-D shapes: Cubes, Cuboids, cylinder, sphere, cone, prism (triangular), pyramid (triangular and square) Identification and locating in the surroundings
- Elements of 3-D figures. (Faces, Edges and vertices)
- Nets for cube, cuboids, cylinders, cones and tetrahedrons.
- Observation and identification of 2-D symmetrical objects for reflection symmetry
- Operation of reflection (taking mirror images) of simple 2-D objects
- Recognising reflection symmetry (identifying axes)
(iv).Constructions (using Straight edge Scale, protractor, compasses) • Drawing of a line segment
- Construction of circle
- Perpendicular bisector
- Construction of angles (using protractor)
- Angle 60°, 120° (Using Compasses)
- Angle bisector- making angles of 30°, 45°, 90° etc. (using compasses)
- Angle equal to a given angle (using compass)
- Drawing a line perpendicular to a given line from a point a) on the line b) outside the line.
Mensuration (15 hrs.)
CONCEPT OF PERIMETER AND INTRODUCTION TO AREA
Introduction and general understanding of perimeter using many shapes. Shapes of different kinds with the same perimeter. Concept of area, Area of a rectangle and a square Counter examples to different misconnects related to perimeter and area.
Perimeter of a rectangle – and its special case – a square. Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalization.
Data handling (10 hrs.)
(i).What is data - choosing data to examine a hypothesis?
(ii). Collection and organization of data - examples of organizing it in tally bars and a table.
(iii). Pictograph- Need for scaling in pictographs interpretation & construction. (iv).Making bar graphs for given data interpreting bar graphs+.
Latest CBSE News
- NCERT and CBSE has been planning to make many changes in the syllabus for 2019. As per the announcement from the government the syllabus was initially planned to be reduced by almost 50% but now the syllabus reduction will be done gradually over a period of many years. During this time many chapters will be modified, deleted and new chapters might also be added based on the latest education trend...
- The Central Board of Secondary Education (CBSE) has started the process for class 9th and class 11th students to register for the Board examinations of 2020. The CBSE has sent out circulars to all the CBSE affiliated schools on 1st October 2018 and have intimated the schools about the process to be followed by the schools for registering their class 9th and class 11th students for the board...
- In continuation to earlier Circular issued by the Central Board of Secondary Education (CBSE) on guidelines for Safe and Effective Use of Internet and Digital Technologies in schools and school buses, it is brought to the notice of the schools that precautions may be taken against an online game namely ‘Momo Challenge’. In this connection, Ministry of Electronics & Information Technology (...
- Indiaskills competition is being held this year from 2nd October till 6th October. This event is held once in two years in which participants from all states in India come together to showcase their skills in a wide variety of activities. The state governments provide support to their respective participants. This year the competition will be held in Delhi at Aerocity. CBSE has also issued a...
- Our education system is developing day by day and the standards of problem and questions as well with them. That is why you need good and effective Tips to improve your learning. In order to survive and top the competitions, students have to go through a lot. Many books, many concepts, many problems and questions that are not easy to be solved. In order to achieve a good result and top their...
- CBSE has issued notification relating to the Board examination 2019 for class 10 and class 12. CBSE has clarified that the examinations will be held in March 2019 itself but the exams for Skill Education (Vocational) and related subjects will start in the second week of February 2019. There are 40 Skill Education (Vocational) subjects being offered in class 12 and 15 in class 10. Read the...
- CBSE has issued a circular to all schools in relation to the 150th Birth Anniversary of Mahatma Gandhi and has asked schools to involve kids into various activities. These activities have to be started by the CBSE affiliated schools starting 2nd October and should continue for an year. The activities have to be planned by the schools and should increase awareness amongst students relating to...