Click below for Class 6 Mathematics NCERT Solutions, RD Sharma and RS Aggarwal Solutions, worksheets, assignments, latest syllabus, NCERT CBSE books, HOTs, Multiple Choice Questions (mcqs), easy to learn concepts and study notes of all chapters, online tests, value based questions (vbqs), sample papers and last year solved question papers. Also, Download NCERT Sanskrit Book for Class 6 in PDF Form.
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 NCERT & CBSE News
Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning
Delhi Government orders closure of all Primary Schools till 31stMarch due to the CORONAVIRUS A much needed announcement by the Government of Delhi. On Thursday, the Delhi Government instructed all the schools of the state to close operations for the students of Pre-...
Due to the increased tension in some parts of Delhi, Delhi government has decided to postpone the CBSE boards exams for class 10 and class 12 in North East Delhi schools only. The dates on which the exams will be scheduled again has not been notified by CBSE till now....
This year the Central Board of Secondary Education (CBSE) made some important changes to the Class 12 exam pattern. Students should be aware of every minute detail of the modified exam pattern, from adding the internal exam in all subjects to changing the format of...
The CBSE Board released an important notification regarding the upcoming CBSE 10th and 12th Board Exam 2020. The notification states that in the Board exams for children with special needs (CWSN), the CBSE Board will allow the use of simple basic calculators. According...
The admit card for CBSE 10th & 12th 2020 has been released online by the CBSE Board at cbse.nic.in. The admit card is available to private as well as regular students. Private applicants may access the CBSE admit card 2020 by submitting their application number,...
As CBSE has issued instructions for all teachers to stay at home, CBSE has also issued fresh instructions for teachers to prepare study material for students. CBSE has asked teachers to prepare online study material including videos which can be shared with students....