This document provides the weekly syllabus for mathematics for class 10 for the 2011-2012 school year. It is divided into two terms, with the first term covering chapters on numbers, algebra, geometry, trigonometry, and statistics. The second term covers additional chapters on algebra, geometry, mensuration, trigonometry, coordinate geometry, and probability. Each week outlines the chapter, examples, and activities to be covered. Suggested activities for formative assessments are also included.

1. DIRECTORATE OF EDUCATION
Govt. of NCT Delhi
WEEKLY SYLLABUS
2011 - 2012
Subject - Mathematics
Class - X
UNDER THE GUIDANCE OF
Mr. Khan Chand Mrs. Savita Drall
Dy. Director of Education Principal
Central / Jhandewalan, S.K.V. Mata Sundri
School
Delhi- 6 New Delhi -1
Prepared By
Ms. Mamta (TGT Maths) Abdul Salim (TGT-
Maths)
RSKV No. 2, Jama Masjid (2127017) GGSS Kalan Mahal
(2127027)
Delhi- 6 Delhi -2
11

2. SYLLABUS OF MATHEMATICS AS PER CCE GUIDELINES
CLASS – X
First Term Marks : 80 Marks
Unit
I Number System (Real Numbers) 10
II Algebra (Polynomials Pair of Liner 20
Equation in two variables)
III Geometry (Triangles) 15
V Trigonometry (Introduction to 20
Trigonometry, Trigonometric
identity)
VII Statistics 15
Total 80
Second Term Marks : 80 Marks
Unit
II Algebra (Contd.) Quadratic 20
Equation Arithmetic Progression
III Geometry (Contd.) Circles, 16
Construction.
IV Mensuration (Area related to 20
circles. Surface Area & Volume)
V Trigonometry (Contd.) Heights and 08
Distances)
VI Co-ordinate Geometry 10
VII Probability 06
Total 80
12

3. WEEK WISE DISTRIBUTION OF SYLLABUS FOR 2011-2012
MATHEMATICS (CLASS – X)
WEEK/ NO. OF
CHAPTER /
DATES WORKING DETAILS
TOPIC
(Mon-Sat) DAYS
01.04.11 to 2 Chapter-6 Introduction, Examples of similar triangles, Basic
02.04.11 Triangles Proportionality Theorem (with proof)
04.04.11 to 5 Chapter-6 Ex 6.1, Ex 6.2
09.04.11 Triangles (Motivate) : If in two triangles, corresponding angles are
equal, then their corresponding sides are in the same ratio (or
proportion) and hence the two triangles are similar.
(Motivate): If in two triangles, side of one triangle are
proportional to (i.e. in the same ratio of) the side of the other
(Mental- triangle then their corresponding angle are equal and hence
Maths) the two triangles are similar.
(Motivate): If one angle of a triangle is equal to one angle of
the other triangle and the sides including then angles are
proportional, then the two triangles are similar.
Practical Activity : To verity the result of BPT
YUVA : 3.1 Attitude is everything.
11.04.11 to 4 Chapter 6 Ex. : 6.3
16.04.11 Triangle (with proof) : The ratio of the areas of two similar triangles is
equal to the square of the ratio of their corresponding sides,
(Mental- Ex. 6.4
Maths) Yuva : 3.2 Choice, Not Chance, Determines Destiny
18.04.11 to 5 Chapter 6 Ex. 6.4 (continued),
23.04.11 Triangles
(motivated) if a perpendicular is drawn from the vertex of the
13

4. right triangle to the hypotenuse then triangles on both sides of
the perpendicular are similar to the whole triangle and to each
other.
(with proof) In a right triangle the square of the hypotenuse is
(Mental-
equal to the sum of the squares of the other two sides.
Maths)
(with proof) In a triangle, If square of one side is equal to the
to the sum of the squares of the other two sides, then the angle
opposite to the first is a right angle.
Yuva : Ex.6.5 Road Safety and US
25.04.11 to 6 Chapter – 2 Zeros of a polynomial and geometrical meaning of the zeroes
30.04.11 Polynomials of a polynomial Ex. 2.1 Relationship between zeroes and co-
efficient of a polynomial with real co-efficient, Ex. 2.2.
Division Algorithm with real Co-efficient, Ex - 2.3
Practical Activity : To verify the result of Pythagoras
Theorem
Yuva : 3.6 if there was a bomb threat.
Chapter – 3 Ex. 3.1 Geometrical representation of different possibilities of
n
Pair of liner solution consistency / inconsistency graphical method of sol
eqn in two of a pair of liner equation Ex. 3.2
variables
Mental-Maths Suggest Activity for FAI : 1st MCQ type questions (10
marks)
2nd: Evolution of activity in marks lab (10 marks)
02.05.11 to 6 Chapter – 3 Ex. 3.2 (Continued). Algebraic method of solving of liner
07.05.11 Pair of liner equations – substitution method ex. 3.3
eqn in two
variables.
Yuva : 3.3 My principle are my strength !
14

5. Practical Activity : Based on consistency / inconsistency
(Mental system of linear equation.
Maths) 3rd Suggestive activity for FAI (10 marks)
Worked / Assignment based on Chapter III
09.05.11 to 2 Chapter – 3 Ex. 3.3 (continued)
10.05.11 Pair of liner
eqn in two
variables
11.05.11 to SUMMER VACATIONS
30.06.11
4th Suggestive Activity for FAI (Project/ Models / Charts) (10
marks)
1. Introduction and family of ∆s
2. Concept of congruency with the help of figures.
3. Number System
4. To prove (a + b)2 = a2 + b2 + 2ab
5. To prove (a + b)3 = a3 + b3 + 3a2b + 3ab2
6. Biography of any one Mathematician
7. Importance of Maths in daily life.
8. Know about circle
9. Use of Graphs in sports.
10. Use of statistics in daily life.
01.07.11 to 2 Chapter – 3 Elimination method – Ex. 3.4
02.07.11 Pair of linear
eqn in two
variables
04.07.11 to 5 Chapter – 3 Ex. 3.4 (Continued). Cross multiplication method:
09.07.11 Pair of linear Ex. 3.5
eqn in two
15

6. variables
(Mental
Maths) Yuva : 3.4 I admire u because ...........
11.07.11 to 6 Chapter – 3 Equation reducible to a liner equations in two variables Ex.
16.07.11 Pair of linear 3.6
eqn in two
variables
(Mental-
YUVA : 3.9 I too have rights !
Maths)
18.07.11 to 6 Chapter - I Eulid's division leema - finding HCF and LCM of number
23.07.11 Real Number Ex.-1.1, fundamental theorem of arithmetic Ex. 1.2, Theorem
1.3 and proofs of results - irrationality of √2, √3, √5, Ex. 1.3
Decimal expansion of rational number in terms of terminating
/ non terminating recurring decimal Ex. 1.4
(Mental
1st Suggestive activity of FA 2 : Class Test of lesson I. (10
Maths)
marks)
Yuva (3.10) Every Drop is precious.
25.07.11 to 6 Chapter – 8 Trigonometric ratios of a acute angle of a right angled triangle
30.07.11 Introduction Ex. 8.1
to Trigonometric ratios of some specific angles, value (with
trigonometry proof) of the trigonometric ratios of 300, 450 and 600 – Ex. 8.2
Yuva : 3.11 End it, before it ends US !
(Mental-
Suggestive Activity in Maths Lab
Maths)
Making of Clinometer
2nd Suggestive Activity of FA 2: - Oral test based on
trigonometry formula (Max. marks 10)
01.08.11 to 6 Chapter – 8 Ex. 8.2 (Contd.) Trigonometric Ratios of complementary
06.08.11 Introduction angles Ex. 8.3
to Yuva : 3.12 : Towards zero waste
Trigonometry
16

7. (Mental- 3rd suggestive activity for-FA2
Maths) 2nd UNIT TEST (Max. Marks : 10)
08.08.11 to 5 Chapter – 8 Trigonometric Identities, Proof and application of the identity
13.08.11 Introduction Sin2 A + Cos2 A=1, Ex : 8.4
to
Trigonometry
Yuva : 3.13 Empowered to save power.
(Mental-
Maths)
15.08.11 to 5 Chapter – 8 Ex. 8.4 (continued)
20.08.11 Introduction
to Introduction, Mean of Grouped Data Ex. 14.1)
Trigonometry
Chaptr-14 Yuva : Meditation and Pre-Examination stress (3.5)
Statistics
(Mental-
Maths)
22.08.11 to 5 Chapter 14 Mode of Grouped Data Ex 14.2, Median of Grouped Data Ex.
27.08.11 Statistics 14.3
(Mental-
Maths) Yuva : 10.1 : Idgah
4th Suggestive activity of FA2
Group Activity related to statistics
29.08.11 to 5 Chapter 14 Ex 14.3 (contd.) graphical representation of cumulative
03.09.11 Statistics frequency distribution - Ex 14.4
(Mental-
Maths) Yuva : 10.2 : Hasty - Tasty Funky Noodles
05.09.11 5
to10.09.11 REVISION
12.09.11 FIRST C.C.E.P.
17

8. 13.09.11 to 5 REVISION
17.09.11
19.09.11 to
27.09.11 1ST SEMESTER EXAM
28.09.11 to
29.09.11 To show the Answer sheet
30.09.11 OPEN-DAY
01.10.11 Noting the result in teacher's Diary and mark the week
students.
03.10.11 to AUTUMN BREAK
06.10.11
07.10.11 to 1 Chapter-12 Perimeter and area of the circle Ex 12.1
08.10.11 Area related
to circle
10.10.11 to 5 (Mental - Area of sector and segment of a circle Ex. 12.2
15.11.11 Maths)
Chapter : 12 Yuva : Flying high the kite of hope.
Area related
to circle (10.3)
17.10.11 to 6 Chapter : 12 Area of combination of plane figures : Ex. 12.3
22.10.11 Area related
to circle. Yuva (10.4) : Keeping healthy.
(Mental -
Maths) Suggestive activity : For FA 3
To prepare a worksheet by paper cutting and pasting based on
area related to circle (10 marks)
24.10.11 to 4 Chapter : 13 Introduction, Surface area of combination of solids..
29.10.11 Surface Area
and volume Ex. 13.1
31.10.11 to 6 Chapter : 13 Volume of the combination of solids and conversion of solids
05.11.11 Surface Area from one shape to another (Ex. 13.2, Ex. 13.3)
and volumes
(Mental Yuva : (10.8): I too will work for a clean and safe
18

9. Maths) environment (school)
2nd Suggestive Activity for FA:3 (10 marks). Worksheet/
Assignment related to formulas of surface area and volume,
area related to circle.
Suggestive Maths - Lab Activity:
1. To find the relation between volume of a care and cylinder.
2. To make the right circular cylinder with the help of
rectangular sheet and verify the result of curved surface area
of cylinder by folding rectangular sheet length wise and
breath wise.
07.11.11 to 3 Chapter - 13 Frustum of a cone Ex. 13.4
12.11.11 Surface area
and volumes 3rd Suggestive Activity for FA 3 (10 marks)
(Mental - Any activity/assignment/project based on Frustum.
Maths)
14.11.11 to 6 Chapter : 10 Introduction, Targets to a circle (with proof): The tangent at
19.11.11 Circles any point of a circle is perpendicular to the radius through the
point of contact
(with proof): The length of tangents drawn from an external
(Mental
Maths) point to a circle are equal Ex. 10.1, Ex. 10.2
4th suggestion activity for FA 3 (10 marks)
To verify the result that the length of tangents drawn from as
external point to a circle are equal by taking circles of
different radius with the help of paper - folding.
Yuva : (10.10) "If there were no rights...! (P.M.I.)
21.11.11 to 6 Chapter: 9 Introduction, heights and distances, simple and believable
26.11.11 Some problems on height and distance problems should not involve
applications more than two right triangles. Angle of elevation/depression
of o o o
Trigonometry should be only 30 , 45 , 60 Ex 9.1
(Mental- Yuva : (10.7) : A strange race.
Maths)
28.11.11 to 6 Chapter - 7 Introduction, Distance Formula, Section formula Ex. 7.1, Ex.
Co-ordinate
19

10. 03.12.11 Geometry. 7.2
(Mental - Yuva : There are so many jobs to choose from.
Maths)
05.12.11 to 4 Chapter - 7: Area of triangle Ex. 7.3
10.12.11 Co-ordinate
Geometry Yuva : I can improve my performance in the coming board
exams.
1st Suggestive Activity for FA4
Assignment based on lesson co-ordinate geometry (Max.
Marks : 10)
12.12.11 SECOND C.C.E.P.
13.12.11 to 5 Chapter: 5 Introduction to A.P., nth terms of an A.P. Ex. 5.1 , Ex. 5.2
17.12.11 Arithmetic
progression Suggestive Maths Lab Activity:
(Mental
Maths) To verify that the given sequence is an arithmetic progression
by paper cutting and pasting method.
Yuva : 10.12 Our prized possession.
19.12.11 to 6 Chapter : 5 Ex. 5.2 (contd.) sum of first n terms Ex. 5.3
24.12.11 Arithmetic
Progression Suggestive Maths Lab Activity
(Mental
Maths) 1. To verify that the sum of first a natural number is n (n+1)/2
by graphical method:
2. To verify that the sum of first n odd natural numbers is n2
by an activity method.
2nd Suggestive Activity for FA4 (10 Marks)
Any two activity can be taken based on arithmetic
progression by paper cutting and pasting
25.12.11 to WINTER BREAK
15.01.12
3rd Suggestive Activity for FA4 can be given as
(10 marks)
Prepared a cross-word based on any two chapters.
20

11. 16.01.12 to 6 Chapter : 4 Standard form of quadratic equation - Ex 4.1 solution of a
21.01.12 Quadratic quadratic equation by factorization method Ex. 4.2
equation
(Mental - Yuva : Understanding my parents.
Maths)
23.01.12 Chapter : 4 Solution of a quadratic equation by completing the square,
Quadratic and by using quadratic formula, relationship between
to equation
discriminate and nature of roots Ex. 4.3 Ex. 4.4
28.01.12 (Mental -
Maths) Yuva : (6.3) : (What is right, what is wrong) ?
4th Suggestive Activity for FA 4: 10 marks
M.C.Q/U.T./Class Test based on quadratic eqn.
30.01.12 to 6 Chapter - 11 Division of a line segment in a given ratio (Internally).
04.02.12 Construction Tangent to a circle from a point outside it, construction of a
(Mental triangle similar to a given triangle. Ex. 1.1, Ex. 11.2
Maths)
Yuva : 3.4: I admire U because.........
06.02.12 to 5 Chapter - 15 Simple Problems on single event Ex. 15.1
11.02.12 Probability Yuva : 3.5 Meditation and Pre-examination stress.
(Mental
Maths)
13.02.12 to 6 Revision
18.02.12 For the students opted board as well as school based
examination.
20.02.12 to 5 Revision
25.02.12
27.02.12 to 6 Revision
03.03.12
05.03.12 to 4 Revision
10.03.12
12.03.12 to ANNUAL EXAMINATION
24.03.12
21

12. 31.03.12 Evaluation of SA2 (Answer Sheet)
22