Course StructureCLASS-IX
As per CCE guidelines, the syllabus of Mathematics for classes IX and X has been divided term wise. The units specified for each term shall be accessed through both Formative and Summative
Assessments. In each term, there will be two Formative Assessments, each carrying 10% weightage out of these
one i.e. FA 4 would be problem solving assessment(PSA).-
The Summative Assessment in term I will carry 30% weightage and the Summative Assessment in
the II term will carry 30% weightage.
Listed laboratory activities and projects will necessarily be assessed through formative
assessments.
First Term Marks: 90
S.No Units Chapter MARKS
1 I. NUMBER SYSTEMS 17
2 II. ALGEBRA 25
3 III. GEOMETRY 37
4 IV. COORDINATE GEOMETRY 06
5 V. MENSURATION 05
Total 90
DESIGN OF QUESTION PAPER CLASS–IX MATHEMATICS
SUMMATIVE ASSESSMENT –I &II
S. No.
Typology of Questions Very Short
Answer (VSA)
(1 mark )
Short Answer-
1(2
marks)
Short Answer –II ( 3 marks )
Long Answer (LA)
(4 Marks)
Total Marks
% Weightage
1
Remembering - (Knowledge based Simple recall questions, to know specific facts, terms, concepts, principles, or theories; Identify, define, or recite, information)
1 2 2 3 23 26%
2
Understanding- (Comprehension -to be familiar with meaning and to understand conceptually,interpret, compare, contrast, explain, paraphrase, or interpret information)
1 1 1 2 14 16%
3
Application (Use abstract information in concrete situation, to apply knowledge to new situations; Use given content to interpret a situation, provide anexample, or solve a problem)
1 2 3 2 22 24%
4
High Order Thinking Skills (Analysis & Synthesis - Classify, compare, contrast, ordifferentiate between different pieces of information; Organize and/or integrate unique pieces of information from a variety of sources)
1 1 4 1 19 21%
5
Creating, Evaluation and Multi-Disciplinary- - - (Generating new ideas, product or ways of viewing things Appraise, judge, And/or justify the value or worth of a decision or outcome, or to predict outcomes based on values)
3* 12 13%
TOTAL 4x1=4 6x2=12 10x3=30 11x4=44 90 100%
The question paper will include a section on Open Text based assessment (questions of 5 marks each from the syllabus-a total of 10 marks). The case studies will be supplied to students in advance. These case
studies are designed to test the analytical and higher order thinking skills of students. *One of the LA (4 marks) will assess the values inherent in the texts
SYLLABUS / CURRICULUM MATHEMATICS (041)
TERM I CLASS-IX (2016-17)
S.NO Month
Units /Chapters Detailed Split-up Syllabus
TotalNo. of
Periods
1
APRIL
1.REAL NUMBERS
2.POLYNOMIALS
1. REAL NUMBERS (18 Periods)1. Review of representation of natural numbers, integers, and rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals.2. Examples of non-recurring / non-terminating decimals such as √2, √3, √5 , etc. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number linerepresents a unique real number.3. Rational numbers as recurring/terminating decimals.4. Existence of √x for a given positive real number x (visual proof to be emphasized).5. Definition of nth root of a real number.6. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)7. Rationalization (with precise meaning) of real numbers of the type (and their combinations)
and , where x and y are natural number and a and b are integers.
2. POLYNOMIALS (23) PeriodsDefinition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zeroes polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeroes/roots of a polynomial / equationState and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of ax2 + b x + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem Two skill based Math’s Lab activities / Project
18
10
2MAY
1.POLYNOMIALS (contd.)
1. POLYNOMIALS (23) PeriodsRecall of algebraic expressions and identities. Further verification of identities of the type (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx, (x ± y)3 = x3 ± y3 ± 3xy (x ± y), x³ ± y³ = (x ± y) (x² ± x y + y²),
13
JUNE x3 + y3 + z3 — 3xyz = (x + y + z) (x2 + y2 + z2 — x y — y z — z x) and their use in factorization of polynomials. Simple expressions reducible to these polynomials.
S.NO Month Units /Chapters
Detailed Split-up Syllabus
TotalNo. of
Periods
JULY1. INTRODUCTION TO EUCLID'S GEOMETRY
2. LINES AND ANGLES
3. COORDINATE GEOMETRY
1. INTRODUCTION TO EUCLID'S GEOMETRY (6) Periods History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon intorigorous mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulatesof Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example:(Axiom) 1. Given two distinct points, there exists one and only one line through them.(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
2. LINES AND ANGLES (10) Periods1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180o and the converse.2. (Prove) If two lines intersect, the vertically opposite angles are equal.3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.4. (Motivate) Lines which are parallel to a given line are parallel.5. (Prove) The sum of the angles of a triangle is 180o.6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles
Formative assessment-1
3. COORDINATE GEOMETRY (9) Periods
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting Points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y = m x + c .
6
10
9
Two skill based Math’s Lab activities / Project
S.NO Month Units /Chapters Detailed Split-up Syllabus
TotalNo. of
Periods
3
AUGUST
1. AREAS
2.TRIANGLES
1. AREAS (4) PeriodsArea of a triangle using Hero's formula (without proof) and its application in finding the area of a quadrilateral
2. TRIANGLES (20) Periods1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any twosides and the included angle of the other triangle (SAS Congruence).2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any twoangles and the included side of the other triangle (ASA Congruence).3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the othertriangle (SSS Congruence).4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle..Two skill based Math’s Lab activities / Project
4
15
4 SEPTEMBER1.TRIANGLES (contd.)
Revision for Summative Assessment -1
1. TRIANGLES (20) Periods contd.
5. (Prove) The angles opposite to equal sides of a triangle are equal.6. (Motivate) The sides opposite to equal angles of a triangle are equal7. (Motivate) Triangle inequalities and relation between 'angle and facing side' inequalities in triangles
Revision for Summative Assessment – I
5
8
Course StructureCLASS-IXTERM II
S.No Unit No. Topic Weightage
1 II ALGEBRA 10
2 III GEOMETRY(CONTD) 38
3 v MENSURATION(CONTD.) 22
4 VI STATISTICS 12
5 V PROBABILITY 08
Total 90
PRESCRIBED BOOKS:
1. Mathematics - Textbook for class IX - NCERT Publication
2. Mathematics - Textbook for class X - NCERT Publication
3. Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
4. Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
5. A Handbook for Designing Mathematics Laboratory in Schools - NCERT Publication
6. Laboratory Manual - Mathematics, secondary stage - NCERT Publication
SYLLABUS/CURRICULUM MATHEMATICS (041)
TERM II CLASS-IX (2016-17)
S.NO
Month
Units /Chapters Detailed Split-up Syllabus (Along with number of periods)
Total no. of Periods
1
October
1.LINEAR EQUATIONS IN TWO VARIABLES
2.Quadrilaterals
1. LINEAR EQUATIONS IN TWO VARIABLES (14) PeriodsRecall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.
2. QUADRILATERALS (10) Periods1. (Prove) The diagonal divides a parallelogram into two congruent triangles.2. (Motivate) In a parallelogram opposite sides are equal, and conversely.3. (Motivate) In a parallelogram opposite angles are equal, and conversely.4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse. Two skill based Math’s Lab activities / Project
14
10
November
1. CONSTRUCTIONS
2.Area of Parallelogram and Triangles
1. CONSTRUCTIONS (10) Periods
1. Construction of bisectors of line segments and angles, 600, 900 , 450 angles, etc., equilateral triangles
2. Construction of a triangle given its base, sum/difference ofthe other two sides and one base angle.
3. Construction of a triangle of given perimeter and base angles.
2. AREA (4) Periods Review concept of area, recall area of a rectangle.
1. (Prove) Parallelograms on the same base and between the same parallels have the same area.
2. (Motivate) Triangles on the same base and between the same parallels are equal in area and its converse
10
4
S.NO
Month
Units /Chapters Detailed Split-up Syllabus (Along with number of periods) Periods
November
3. CIRCLES
CIRCLES (15) PeriodsThrough examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle.1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.3. (Motivate) There is one and only one circle passing through three given non-collinear points.4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center(s) and conversely.5. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.6. (Motivate) Angles in the same segment of a circle are equal.7. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side ofthe line containing the segment, the four points lie on a circle.8. (Motivate) The sum of the either pair of the opposite angles of a cyclic quadrilateral is 180o and its converse.Two skill based Math’s Lab activities / Project
15
DECEMBE
R
1.PROBABILITY
2. SURFACE AREAS AND VOLUMES
1. PROBABILITY (12) PeriodsHistory, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (Alarge amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real - life situations, and from examples used in the chapter on statistics).2. SURFACE AREAS AND VOLUMES (12) PeriodsSurface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones Two skill based Math’s Lab activities / Project
12
5
JANUARY
1.SURFACE AREAS AND VOLUMES(contd.)
1. SURFACE AREAS AND VOLUMES (12) PeriodsSurface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones FORMATIVE ASSESEMENT -3
7
S.NO
Month
Units /Chapters Detailed Split-up Syllabus (Along with number of periods)
Periods
JANUARY
STATISTICS1. STATISTICS (13) PeriodsIntroduction to Statistics : Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form ofpresentation for the collected data. Mean, median, mode of ungrouped data Two skill based Math’s Lab activities / Project.
13
FEB
OTBAREVISION FOR SA2
OTBA
REVISION FOR SA2
MARCH
SA 2 SA 2
Three activities i.e. written assignments, Group projects and Math’s Lab. Activities will be common under the scheme of FA 2 and FA 4 in addition a teacher is free to conduct one meaningful activity . CRITERIA FOR ASSESSING VARIOUS ACTIVITIES
NAME OF THE ACTIVITY CRITERIA FOR ASSESSMENT (OUT OF 10)PROBLEM SOLVING, MCQ Based on the correct answers DATA HANDLING AND ANALYSIS Collection of data – 03 marks
Representation of data – 03 marks Interpretation of data – 03 marks Timely submission – 01 mark
INVESTIGATIVE PROJECTS Neatness in presentation – 02 marks Understanding the concept – 03 marks Clarity of the concept – 03 marks Timely submission – 02 marks
MATHS LAB ACTIVITIES Active participation – 03 marks Presentation – 02 marks Accuracy and inference – 02 marks Viva – 02 marks Completion of activity in time – 01 mark
MODELS Finishing – 03 marks Description of the model – 03 marks Viva – 02 marks Timely submission – 02 marks
GROUP PROJECTS Active participation – 03 marks Individual contribution – 03 marks Viva – 02 marks Team work – 01 mark Timely submission – 01 mark
PEER ASSIGNMENT Active participation – 03 marks Individual contribution – 03 marks Viva – 02 marks Team work – 01 mark Timely submission – 01 mark
PRESENTATION USING IT Selection of presentation set up – 02 marks Content relevance – 04 marks Clarity in presentation – 02 marks Timely submission – 02 marks
Note: i) The above is only suggestive for a normal class
ii) Teacher can change the above criteria to suite their student’s level
iii) Teacher has to provide the objectives, method and evaluation criteria of the
Activity, to the students before conducting the activity.
SPLIT UP SYLLABUSMATHEMATICS
CLASS-X TERM 1
S.NO Month
Units /Chapters Detailed Split-up Syllabus
TotalNo. of
Periods
1
APRIL&
MAY
1.Real Numbers
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Real Numbers. Euclid's division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier andafter illustrating and motivating through examples, Proofs of results - irrationality of √2, √3, √5, decimal expansionsof rational numbers in terms of terminating/non-terminating recurring decimals
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be includedTwo skill based Math’s Lab activities / Project
15
15
2
JUNE & JULY
1. Polynomials
2. TRIANGLES
.PolynomialsZeroes of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials. Statement and simpleProblems on division algorithm for polynomials with real coefficients.
TRIANGLES Definitions, examples, counter examples of similar triangles.1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional andthe triangles are similar.4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
7
15
JUNE
&
JULY 3.TRIGONOMETRY
Formative assessment-1
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse; the triangles on each side of the perpendicular are similar to the whole triangle and to each other.7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their correspondingsides.8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the anglesOpposite to the first side is a right triangle. INTRODUCTION TO TRIGONOMETRY Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate theratios, whichever are defined at 0o and 90o. Values (with proofs) of the trigonometric ratios of 30o, 45o and 60o. Relationships between the ratiosTwo skill based Math’s lab activities /Project.Formative assessment-1
10
3
AUGUST
1. TRIGONOMETRY (Contd.)
2. STATISTICS
.1. TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios ofComplementary angles.2. STATISTICS Mean, median and mode of grouped data (bimodal situation to be avoided) cumulative frequency graph.Two skill based Math’s Lab Activities/Projects
15
13
4
SEPTEMBER
1.STATISTICS
2.Revision FOR SA1
STATISTICS ---- Cumulative frequency graph.
2. Revision for SA– I
5
TERM - II
S.NO Month
Units /Chapters Detailed Split-up Syllabus
TotalNo. of
Periods
1
October
1.ARITHMETIC PROGRESSIONS
2.QUADRATIC EQUATIONS
1)Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms and their application in solving daily life problems
2) Standard form of a quadratic equation ax2 + b x +c= 0, (a ≠≠0). Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated.Two skill based Math’s Lab activities/Projects
8
15
2
November
CIRCLES
2. CONSTRUCTIONS
3.AREAS RELATED TO CIRCLES
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.2. (Prove) The lengths of tangents drawn from an external point to circle are equal.1. Division of a line segment in a given ratio (internally)2. Tangent to a circle from a point outside it.3. Construction of a triangle similar to a given triangle1.) The area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60o, 90o& 120o only. Plane figures involving triangles, simple quadrilaterals and circle should be taken
Two skill based Math’s Lab Activities/Projects
8
8
12
3December
1. COORDINATE GEOMETRY
2. APPLICATION OF TRIGONOMETRY
1. LINES (In two-dimensions) Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section
2. Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30o, 45o, 60o
Two skill based Math’s Lab Activities/Projects
12
84
January
1. SURFACE AREAS AND VOLUMES
1 PROBABILITY
FA-3
. (i) Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.)
1. Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.Formative assessment-3
formula (internal). Area of a triangle.Two skill based Math’s Lab Activities/Projects
10
14
February REVISION FOR SA 2 Revision for SA2March SA2
Three activities i.e. written assignments, Group projects and Math’s Lab. Activities will be common under the scheme of FA 2 and FA 4 in addition a teacher is free to conduct one meaningful activity.
Kendriya Vidyalaya Sangathan
Split-up Syllabus 2016-17
CLASS - VIII MATHEMATICS Term-I
MONTH
UNIT/LESSONS/ TOPICS TO BE COVERED
Suggested activities to be performed
Expected No. of Periods
April-May
Ch. 1: Rational Numbers
Ch. 2 :Linear Equations in one variable
Ch.3 : Understanding Quadrilaterals
1. Sums based on application of con-cept.
2. Conversion of word problems into mathematical form.
3. To fold a paper 8 times in any way. Unfold and locate various convex and concave polygons.
4. To verify, by paper cutting and past-ing that the sum of interior angels of a Quadrilateral is 360◦
5. To verify by paper cutting and past-ing, that the sum of the exterior an-gles drawn in order, of any polygon is 360°.
6. Quiz, Oral Test
08
12
10
June-July
Ch.4 :Practical Geometry
Ch. 6 : Squares and Square Roots
Ch. 7 : Cubes and Cube Roots
1. To make the following shapes by paper folding and cutting.
(a)A kite (b)A rhombus
2. To verify Pythagoras theorem using a squared paper by shading the squares. 3. To observe some given number pattern and write their next three steps/rows. 4. Quiz, Oral Test
10
12
08
August-
Ch. 5 :Data Handling
Ch. 8: Comparing Quantities
1.(Group Activity) a) Do a survey of your class and collect the data from all students of your class who spent more than 3 hours in watching TV. Represent the collected data, in the form of a histogram by paper cutting and pasting.
2. Organizing a class/School Mela to give practical concept of buying and selling.
15
10
3. Visit of shops to purchase the things of your need and paste at least five bills on a chart paper.
September
1.Note book assessment
Correct response :
SA-1 Revision for SA-1 Examination MCQ 1m x 8Qs= 8
2m x 6Qs= 12
3m x 8Qs= 24
4m x 4Qs= 16
Total :- 60
-
-
CLASS - VIII MATHEMATICS Term-II
MONTH UNIT/LESSONS/ TOPICS TO BE COVERED
Suggested activities to be performed Expected No. of Periods
October
Ch. 9: Algebraic
Expressions and Identities
1. Illustrating geometrically the product of Two monomials (ii) one
monomial and one binomial, and (iii) two binomials.
2. To verify the following algebraic identities by paper cutting and
pasting-
(i) (ii)
13
November
Ch. 12: Exponents and Powers
Ch. 11: Menstruation
1. To write large numbers more conveniently using exponents.2. To derive the formula for total surface area of a cuboid.3. To make cuboids and cubes of given dimensions (4 x 3 x 2, 3
x 3 x 3) using unit cubes and to calculate the volume of each.4. To Derive the formula for surface area of a cylinder( by paper
folding)
10
12
December
Ch. 13: Direct and Inverse Proportions
Ch. 15: Introduction to Graphs
1.Take a map of your State. Note the scale used there. Using a ruler, measure the “map distance” between any two cities. Calculate the actual distance between them.
2. Write how much you spent during a day in the following headings i) school ii) homework iii) play iv) sleep v) watching TV vi) others Represent the information in a Pie chart..
3. Quiz, Oral Test
10
08
January Ch. 14: Factorizations
1. To find the common factors of numbers and expressions 12
February
Ch. 16: Playing with Numbers.
Ch. 10: Visualizing Solid Shapes
1.To deduce some interesting properties of number – games with number
2.Prepare the solid shapes with use of card board and verify the Euler’s
Formula by counting the no. Of faces, edges and vertices.
08
08
Revision for SA-2 Examination
3. Drawing activity.
March
Correct response : MCQ 1m x 7Qs= 7
2m x 5Qs= 10
3m x 7Qs= 21
Revision for SA-2 & Examination 4m x 3Qs= 12
OTBA = 10
Total :- 60
KENDRIYA VIDYALAYA SANGATHAN (PATNA REGION)
SPLIT-UP SYLLABUS FOR 2016-17
Class-VII
SUBJECT-MATHS
TERM-I
S. NO. MONTH TOPICS/CHAPTERS ACTIVITIES FA2 & FA4
1. APRIL-MAY CH-1 : INTEGERS
CH-5 :LINES AND ANGLES
CH-2 : FRACTIONS AND DECIMALS
MCQ TEST
PROJECT
2. JUNE-JULY CH-3 : DATA HANDLING
CH-4 : SIMPLE EQUATIONS
CH-6 : TRIANGLES AND ITS PROPERTIES
PUZZLE
LAB ACTIVITY
3. AUGUST CH-10 :PRACTICAL GEOMETRY
CH-13 : EXPONENTS AND POWERS
QUIZ
H.W/C.W ASSESSMENT
4. SEPTEMBER SA1 REVISION AND EXAMINATION
TERM-II
S. NO. MONTH TOPICS/CHAPTERS ACTIVITIES FA2 & FA4
1. OCTOBER CH-8 : COMPARISON OF QUANTITIES MCQ TEST
2. NOVEMBER CH-9 : RATIONAL NUMBERS PUZZLE
CH-12 : ALGEBRAIC EXPRESSIONS
3. DECEMBER CH-7 : CONGRUENCE OF TRIANGLES PROJECT
4. JANUARY CH-11 : PERIMETER AND AREA QUIZ
5. FEBRUARY CH-14 : SYMMETRY
CH-15 : VISUALIZING SOLID SHAPES
LAB ACTIVITY
C.W/H.W ASSESSMENT
6. MARCH SA2 REVISION AND EXAMINATION
Split of syllabus of Maths for class VI and list of activities for session 2016-17
Term-I Class VI
Sl No. Month Topics/ chapters
1. April-May Ch.1 Knowing our Numbers
Ch.2 Whole Numbers
Ch.3 Playing with Numbers
2. June-July Ch.3 Playing with Numbers(cont.)
Ch.6 Integers
Ch.4 Basic Geometrical ideas
3. August Ch.5 Understanding Elementary Shapes
Ch11. Algebra
4. September Ch.11 Algebra (cont.)
SA-I Revision and Examination
Term-II
Sl No. month Topics/Chapters
1. October Ch.7 Fractions
2. November Ch.8 Decimals
3. December Ch.12 Ratio and proportions
Ch.9 Data Handling
4. January Ch10 Mensuration
5. February Ch.14 Practical Geometry
Ch.13 Symmetry
6. March SA-II Revision and examination
Month-wise list of activitiesTerm-ISl No. Month List of Activities
1. April-May 1. To find prime number between 1 to 100 by Eratosthenes siev’sMethod
2. To Verify that addition is commutative for whole number by paper cutting and pasting
3. To Verify that Multiplication is commutative for whole number by paper cutting and pasting
2 June-july 1. To classify the triangle on the basis of sides and angles from the given set of triangles
2. To find the HCF of two given Number by paper cutting and pasting3. To perform addition and subtraction of integers using different coloured but-
tons 3 August-
September1. To make the following shapes using a pair of set squire
a. Square b. Rectangle c. Rhombus d. Parallelogram2. To make a cube using the given net and count the number of
Faces, vertices and angles
3. To make different ion between 2-D and 3-D shapes by observations in our surrounding and list them
Term-II
Sl No. Month List of Activities
1. October 1. By paper cutting and pasting represent the following fractions
a. ¼ b. 1/8 c. 2/4 d. 1/3 e. 2/3
2 .Represent the following fractions on number line
a. -2/3 b. -1/4 c. -2/3 d. - 4/62. November 1. To represent decimals 0.25,0.5,0.75,0.68 using a 10x10 grid
3. December 1. To collect data from the students regarding time spent ( more than two hours) in watching TV and represent in the form of bar graph
2. Take height and weight of each student of your class and represent it in bar graph
4 January 1. To find area of palm impression on a grid paper of each group Member by counting the square
5. February 1. With help of protector draw the angles a. 45O b. 22 1/2o c. 900 d. 30o
2. With help of protector and scale divide a given line segment3. To determine the number of symmetry of following shape by paper folding
a. Square b. Rectangle c. Rhombus d. Equilateral triangle