Unit Name : Sets No. of Periods Required : 4

Date : From to

Objectives : 1. States the properties of sets on union and intersection of sets based on commutative

properties, Associative properly and Distributive property.

2. Solves the problems relating to properties of union and Intersection of sets.

3. Understands the De Morgans Laws of sets.

4. Solves the problems relating to cardinality of sets.

5. Draws venn diagram for cardinality of sets.

Sl.

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Learning

Competencies

Activities favourable to

learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Properties of sets

on operations

a) Commutative

property

i) Union of sets

A B B A

1) Recalling set operations, viz,

union, intersection and

complementation

2) Formulating rules related to

basic operations on number sets.

3) union of sets is commutative –

A proof using example.

Black Board

chart

Discussion

Problem

solving

Group

Discussion

exercise

problems

ii) Intersection of

sets

A B B A

1) Proving that intersection of 2

sets is commutative

2) Verification of commutative

property using Venn diagram

Power point

presentation,

computer

Oral Test

activity

Question

paper

exercise

activity

iii) Associative

property

1) Stating associative properties

fro both intersection and union

2) A general verification of

associative properties.

Black Board

chart

Activity Exercise

activity group

discussion

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3) Verification of associative

properties using Venn diagrams

Discussion

iv) Distributive

property

1) Stating distributive properties

for both intersection and union

2)A general verification of

distributive properties

3) Verification of distributive

properties using Venn diagram

Chart

containing

distributive

property

Black Board

Observation

Written Test

Observation

schedule

question

paper

2. De Margan’s law 1) Stating De Margan’s laws by

giving a highlight to

complementation

2) Verifying De-Margan’s laws

using Venn diagrams.

Power point

presentation

computer

Group

evaluation

Group

discussion

3. Cardinality of sets 1) In a given set of sets counting

no. of elements in each set.

2) In Venn diagram, identifying

cardinality of a particular set.

3) Showing problems which have

no relationship b/w each set.

4) Showing problems on sets

which have common elements

using cardinality

5) Stating formula for

relationships on (a) disjoint sets

b) non disjoin sets.

Black Board

Chart

contenting

cardinal

numbers

computer

Flash card

Venn diagram

chart

Discussion

Questioning

Problem

solving

Group

discussion

Questionnair

e

Exercise

problems

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Unit Name : Progressions No. of Periods Required : 20

Date : From to

Objectives : 1. Defining an A.P

2. Writing the general form of an A.P

3. Finding ‘a’, ‘cd’, Tn of an A.P.

4. Framing formula to find the sum of a finite arithmetic series

5. Finding the sum of a finite arithmetic series

6. Defining an harmonic progression

7. Finding the general form of a H.P.

8. Defining a geometric progression

9. Writing general from of a G.P.

10. Finding the common ration of G.P.

11. Finding the sum of a finite and infinite Geometric series

12. Solving application problems an A.P, G.P & H.P.

13. Calculating the arithmetic, Geometric and Harmonic Mean

Sl.

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Learning

Competencies

Activities favourable to

learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Definition of

progression

1) In different number pattern

relating terms of the pattern

2) Defining such number

patterns

Number

pattern

containing

chart

Questioning Questionnair

e

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2. Terms of a

progression

1) Definition of terms

2) Recognition of each terms as

T1, T2…Tn

Charts

containing the

characteristic

of sequence

Observation Observation

schedule

3. Finite sequence 1) Defining finite sequencing the

definition of finite sets

2) Citing examples for finites

sequence

Black Board Discussion Group

Discussion

4. Infinite sequence 1) Defining infinites sequence

using the definition of infinite

sets.

2) Citing examples for infinite

sequence

Black Board Discussion Group

Discussion

5. Series 1) By editing the terms of a

sequence and the sign, defining

the term series

2) Citing examples for series

Black Board Group

Evaluation

Quiz

6. Arithmetic

progression

1) Defining progressive whose

terms have the constant common

difference

2) Citing examples for A.P.

Comparative

chart for

sequences

Observation

Discussion

Observation

schedule

Group

discussion

6.b General form of

A.P and nth term

1) Stating the general from of A.P

2) Eliciting the terms of A.P

3) Writing next four terms of a

given A.P

Chart

containing

characteristics

of A.P.

Black Board

Activity Exercise

Activity

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4) Forming of an A.P using nth

term

5) Finding a particular term and

the no. of terms of an A.P.

6.c Sum of ‘n’ terms

of a finite series

1) Formulating n terms of series

2) Calculating S3, S5, S6..of an A.P

Black Board Problem

solving

Exercise

problem

6.d Sum of first ‘n’

terms of natural

numbers

1) Deriving formula to find sum

of first ‘n’ terms of natural

numbers.

2) Solving exercise problems.

Black Board Written Test Question

paper

7. Geometric

progression

1) Defining G.P by recognizing

common rations

Power point

presentation

7.a Meaning 2) Recognizing each term as T1,

T2, T3…

3) Forming nth term of G.P.

4) Identifying next term and

preceding term of an nth term of

G.P.

5) Finding common ratio, a

specific term and the last term of

G.P

Computer

Black Board

chart

containing No.

pattern

Discussion Group

discussion

7.b Sum of first nth

term of G.P

1) Formulating the formula

inductively to find the nth terms

of the G.P.

2) Based on values of ‘r’

Black Board

Chart

Activity Group

Activity

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determining sum n terms of G.P.

3) Finding no. of terms of G.P. it

‘Sn’ is given.

4) Finding sum of infinite terms

of G.P.

5) Solving for n, if Sn is given

Written Test Question

paper

8. Harmonic

progression

8.a Meaning 1) Defining a H.P using reciprocal

of the term, getting examples.

2) Comparing H.P with other type

of progressions

3) Identifying H.P among a given

set of progressions

Power point

presentation

computer

Black Board

Discussion

Observation

Group

Discussion

observation

schedule

8.b General form of

H.P & nth term

1) Writing a general form of H.P

by picking out each term has T1,

T2, T3…

Questionnaire

chart

Questioning Questionnair

e

9. Arithmetic mean

A a b

2

1) Formulating the formula for

AM

2) using formula to find mean of

any two terms

3) Comparing mean with

arithmetic mean

Flash card

Black Board

Oral Test Question

paper

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10. Geometric Mean

G ab

1) Formulating the formula to

find GM

2) Using G to find the mean b/n

any two terms

Black Board Written Test Question

paper

11. Harmonic Mean

H 2ab a b

1) Formulating the mean b/n two

harmonic terms.

2) Solving problems on HP

Black Board Activity Exercise

Activity

12. Relation b/n AM,

GM and HM

G AH

A G H

1) Comparing the values of AM,

GM, HM

2) Generalizing the relations b/n

means

Comparative

chart and

Black Board

Problem

solving

Exercise

problems

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Unit Name : Real Numbers No. of Periods Required : 4

Date : From to

Objectives : 1. States the Euclid’s division Algorithm.

2. Computes the HCF of two numbers by using Euclid’s division Algorithm.

3. States the Fundamental theorem of arithmetic.

4. Computes the HCF and LCM by using fundamental theorem of arithmetic.

5. Define the Real Numbers. Cites examples.

6. Proves the Corrolary theorem.

Sl.

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Competencies

Activities favourable to

learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Euclid’s Division

Algorithm

1) Finding HCF for integers in

general method

2) Stating of division algorithm

inductively

Algorithm

chart

Black Board

Problem

solving

Exercise

problems

2. Finding HCF of

two integers using

Euclid’s algorithm

1) Finding HCF of two definite

numbers using algorithm

2) Finding HCF of integers using

prime factorization method.

Black Board Observation Observation

schedule

3. Fundamental

theorem of

arithmetic

1) Stating fundamental theorem

and giving examples.

2) Recalling the rules to consider

a positive integer ‘P’ as a prime

Model

problem

charts

Black Board

Discussion Group

Discussion

4. Finding HCF &

LCM by using

fundamental

1) Factorizing two specific

integers

Tree chart

containing

Problem

solving

Exercise

problems

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theorem of

arithmetic

2) Creation of factor trees

3) Expression of composite

numbers into prime factors using

fundamental theorem and finding

HCF & LCM

factors

Black Board

5. Irrational

Numbers 2, 3, 5, 10....

1) Explaining that irrational

numbers cannot be expressed in

the form p/q

2) A specific irrational number is

irrational

Flash cards

Black Boards

Activity Group

activity

6. If a prime number

P divided a2, then

P divides a, where

a is a positive

integer

1) Providing the theorem using

synthesis

2) Using different prime numbers

and integers proving and verifying

the statement

Black Board Written test Question

paper

7. Corollary/: If a

divides be and

HCF (a,b)=/ then

a divides c

1) In any three integers, if the

HCF of first two is I, then first

integers divides the third integer –

An analytical proving

2) For a set of integers, verifying

the corollary /

Black Board

and its

materials

Questioning Questionnair

e

8. Corollary 2 : If a

prime divides the

product of two

1) If a prime no.. divides product

of two integers – studying this

consequence analytically.

Chart Discussion Group

Discussion

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integers, then it

divides atleast one

of them.

2) Verifying corollary 2

Black Board

and its

materials

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r

Unit Name : Permutations and Combinations No. of Periods Required : 12

Date : From to

Objectives : 1. States Fundamental Principle of counting.

2. Understands the concept of permutation and combination.

3. Distinguishes between permutation and combination

4. Understands factorial notation

5. Understands the meaning of nP and n

C

6. Develop the skill in solving the problems.

Sl.

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Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Fundamental

principle of

counting

1) Representing different ways of

selection in day-to-day securities in

the form of a tree diagram.

2) In any 2 situations, lighting

arranging methods.

3) Generalizing the fundamental

principle of counting

4) Solving exercise problems

Tree chart

Black

Board

Discussion Questionnair

e

2. Definitions of

permutations and

combinations

1) Defining ‘permutation and

combination’ using example and

stating their symbols

2) In a set of given activities

classifying permutations and

combination

Black

Board

Books

Number

chart

Activity Group

activity

r

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3. Factorial notation 1) Writing the product of first ‘n’

natured numbers in the form of

factorial

2) Expanding different factional

3) Solving factorial related exercise

problems

Black

Board and

materials

Oral Test Quiz

4. Special cases of n

Pr

1) Analyzing the meaning and

finding the value of nP for various

r

‘n’ & ‘r’ values

2) Showing applicative problems on

permutation

3) Giving meaning for permutations

and combinations for the same ‘n’ &

‘r’ values

Model

charts

Black

Board

Problem

Solving

Exercise

problems

5. Special cases of n

Cr

1) Define and giving meaning for n

C for various ‘n’ & ‘r’ values r

Showing exercise problems on

combinations

Black

Board

Written Test Question

paper

6. Pascal’s Triangles 1) By comparing concept of

combination with Pascal’s triangle,

deriving its meaning

2) Solving problems on combination

Pascal’s

Triangle

model and

pascals

chart Block

Board

Observation Observation

Schedule

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Unit Name : Probability No. of Periods Required : 6

Date : From to

Objectives : 1. Defining the probability of an event

2. Explains Random experiment

3. Defining sample space and event

4. Explaining the meaning of equally likely events

5. Finding sample space and elementary event of the given event.

6. Explaining the meaning of different types of events

7. Stating that P(E) = 1- P E 8. Stating the addition rule of probability PE1 E2 PEPE2 9. Finding the probabilities of given events.

Sl.

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Competencies

Activities favourable to

learning

TLM

Evaluation Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Probability 1) Defining the probability by

using ‘Prediction’ ‘Precision’ and

‘chance’

2) Discussion on the topic by

considering day-to-day situations

Ball, die, coin Observation Observation

schedule

2. Experimental

approach to

probability

1) Explaining experimental

probability using tossing a coin

and lighting the results

2) Stating the formula of

probability

Black Board

Books

Results of

sports

Discussion Group

discussion

3. Theoretical

Approach to

probability

1) By using the attempts

redefining experimental and

theoretical probability

2) Lighting out example

Black Board Oral Test Question

paper

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4. Random

experiments

1) Defining the term ‘Random

experiment’

2) Solving exercise problems on

Random experiments

Black and its

material

Discussion Group

discussion

5. Outcome 1) Refining outcomes of random

experiments

2) Defining the term ‘Out come’

Class room

materials

chart

Activity Exercise

activity

6. Probability of an

event

1) Explaining the effect of

probability on an event

2) Formulating related the

formula

Chart

containing

formula

Group

Evaluation

Group

activity

7. Certain events 1) Defining certain events using

examples

Black Board

Cards Ball,

die

Observation Observation

schedule

8. Impossible evetns 1) Explaining and by citing

examples for impossible events

Experiment

chart

calendar

Questioning Questionnair

e

9. Simple or

Elementary events

1) Classifying events

2) In the normal situations,

recognizing elementary events

3) By comparing the elementary

events with the impossible events

Black Board Project Project work

10. Complementary

Events

1) Explaining complementary

events using examples

2) Giving symbolic explanation

and formulating the relation

3) Solving exercise problems

Competitive

chart

Activity Group

Activity

11. Mutually exclusive

events

1) Identifying an event where

some other event excludes from

Black Board Observation Observation

schedule

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its recurrence – citing example

2) Solving exercise problems

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Unit Name : Statistics No. of Periods Required : 8

Date : From to

Objectives : 1. Understand the concept of standard deviation, variance and coefficient of variation

2. Computes the measure of standard deviation, variance and coefficient of variation

3. Interprets the data based on these statistical measures

4. Constructing the pie chart

Sl.

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Learning

Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Standard

deviation and

Variation of an

ungrouped data

1) Defining variation and standard

deviation and finding relation b/w

them

Black Board

and its

materials

Discussion Group

Discussion

2. 1) Direct Method

2) Actual Mean

method

3) Assumed Mean

Method

d) Step-deviation

Method

1) Finding standard deviation and

variation by using all methods

2) Listing steps of finding standard

deviation in different methods.

3) Discussing limitations of each

method

4) comparing values of standard

deviation and variation got through

different methods

Charts

containing

steps

Black Board

Observation

Written Test

Group

evaluation

Observation

schedule

Question

paper

Group

activity

3. Grouped Data

1) Standard

deviation

1) Finding standard deviation and

variation in all methods given

2) Comparison of values

Chart

containing

model

problems

Problem

solving

Exercise

problems

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2) Variation 3) Listing out related formulae Black Board

4. Coefficient of

variation

1) Analyzing consistency by using

coefficient of variation.

2) Solving problems related to daily

life based on C.V.

3) Listing constraints related to

C.V

Black Board

chart

Discussion Group

Discussion

5. Pie Chart 1) Representation of Numerical

data

2) Comparing statistical data with

pictorial data

3) Solving related problems

Graph Board

Black Board

Geometric

Box

Project Project

Work

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UNIT NAME : SURDS No. PERIODS REQUIRED : 5

DATE :

OBJECTIVES: 1. Identifies like & unlike surd

2. Defining binomial surd.

3. Adding,subtracting & mulptiplying surds.

4. Rationalising surds.

5. Simplifying by rationalizing the denominator of surds

Sl.

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Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Like & unlike

surds

1) Defining like & unlike surds

2) Citing examples for like &

unlike surds

Comparative

chart

Black Board

Problem

solving

Exercise

problems

2. Binomial surds 1) Adding any two surds & then

defining the term ‘Binomial surd’

2) Formation of binomial surds

Black Board Observation Observation

schedule

3. Addition &

subtraction of

surds

1) Simplification of surds.

2) Adding/subtracting any 2

surds on the basis of order &

radicand.

3) Solving exercise problems

Model

problem

charts

Black Board

Discussion Group

Discussion

4. Multiplication of

surds

1)having same

order

1) Identifying order of surds

2) Discussion about

multiplication of surds having

same order & multiplying surds.

Chart having

the rule of

multiplication

Problem

solving

Exercise

problems

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2)having different

order

3) Multiplying surds having

different orders by converting

orders of surds into same order

by using defined rule.

of surds

Black Board

5. Rationalization of

surds &

rationalizing

factor

1) Explaining the ways of

converting an irrational into a

rational.

2) Listing rationalizing

factor(conjugates)for monomial &

binomial surds.

3) Solving exercise problems

Flash cards

Black Boards

Activity Group

activity

6. Simplification by

rationalizing the

denominator

1) Recognition of denominator

2) Writing conjugate for the

denominator

3) Rationalizing the denominator

& Simplifying

Chart

Black Board

Written test

Question

paper

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Unit Name : Polynomials No. of Periods Required : 8

Date : From to

Objectives : 1. Defining the terms-‘Polynomial’ & ‘zero of the polynomial’

6. Citing examples for polynomials.

7. Identifying the variable & highest degree of a polynomial.

8. Writing highest degree & general form of different types of polynomials.

9. Stating division algorithm of polynomials.

10. Stating remainder theorem & finding remainder.

11. Stating factor theorem & expression of a polynomial into its factors.

12. Finding the remainder & quotient using synthetic division method.

Sl.

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Learning

Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Concept of

Polynomial

1) Defining the term Polynomial.

2) Citing examples for polynomial.

3) Identifying the variable & highest

degree of a polynomial.

Black Board

chart

Discussion

Problem

solving

Group

Discussion

exercise

problems

2. Types of

Polynomial

1) Classifying polynomials based on

highest degree of the variable.

2) Gives examples for different types

of polynomial.

3) Solving exercise problems.

Power point

presentation,

computer

Oral Test

activity

Question

paper

exercise

activity

3. Zero of a

polynomial

1) Defining zeroes of a polynomial

2) Finding the zeroes of a specific

polynomial.

Black Board

chart

Activity Exercise

activity group

discussion

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3) Solving exercise problems

Discussion

4. Division algorithm

of a polynomial.

1) Recalling the method of division of

a polynomial by another polynomial

using ‘Long division Method’.

2) Listing the steps of ‘Long division

Method’.

3) Comparison of result with division

corollary.

Chart

containing

the steps of

‘Long

division

Method’.

Black Board

Observation

Written

Test

Observation

schedule

question

paper

5. Remainder

theorem

1) Stating Remainder theorem

2) Finding remainder using

remainder theorem.

3) Solving exercise problems using

Remainder theorem

4) Listing conclusions of Remainder

theorem.

Power point

presentation

computer

Group

evaluation

Group

discussion

6. Factor theorem 1) Discussion of the applications of

remainder theorem.

2) Stating the converse of Remainder

theorem

3) Solving exercise problems.

Black Board

Chart

Discussion

Questionin

g

Problem

solving

Group

discussion

Questionnair

e

Exercise

problems

7. Synthetic division

method

1) Finding quotient & remainder by

long division method.

2) Explaining synthetic division

Chart

showing the

comparative

Discussion Group

discussion

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method by comparing long division

method.

3) Solving exercise problems

steps of

synthetic &

long division

methods.

Problem

solving

Exercise

problems

Unit Name : Quadratic Equations No. of Periods Required : 16

Date : From to

Objectives : 1. Defining the terms ‘Quadratic equation, Pure quadratic equation & Adfected quadratic

equation’

14. Solving Pure quadratic equation & Adfected quadratic equation’

15. Framing the formula to find roots of a quadratic equation.

16. Solving quadratic equation by different methods.

17. Relating roots & coefficients of a quadratic equation.

18. Framing quadratic equations.

19. Analyzing the nature of quadratic equation.

20. Solving quadratic equations graphically.

Sl.

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Learning

Competencies

Activities favourable to

learning

TLM

Evaluation

Date of

Activities

Teacher’s

Intro

spection Tools Techniques

1. Quadratic

expression &

Quadratic

equation

1) Comparing Quadratic

expression with Quadratic

equation

2) Defining the term ‘Quadratic

equation’

Comparative

charts

Black board

Discussion Group

discussion

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3) Exampling quadratic

equations

2. Types of quadratic

equation

1) Listing the types of quadratic

equation, along with their

standard forms.

2) cites examples for different

types of quadratic equation.

Chart

containing

types of

quadratic

equation

Observation Observation

schedule

3. Formula to find

roots of quadratic

equation

1) Derivation of formula to find

the roots.

Black Board Discussion Group

Discussion

4. Methods to solve

quadratic

equation

1)Factorization

2) Completing the

square

3) Using Formula

4)Graphical

method

1) Explaining each method of

solving quadratic equation with

illustrations.

2) Solving exercise problems.

Chart showing

the methods

Black Board

Discussion

Problem

solving

Group

Discussion

Exercise

problems

5. Nature of

quadratic

equation

1) Listing the roots of quadratic

equation

2) Analyzing the nature of

quadratic equation on the basis

of the value of. descriminant .

Chart

Black Board

Group

Evaluation

Quiz

6. Sum & Product of 1) Deriving the formula to find chart Observation Observation

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roots of quadratic

equation

the sum & product of the roots of

quadratic equation

2) Solving problems.

3) Forming quadratic equations

using roots.

Black board

Oral test

schedule

Question

Card

7. Graphical Method 1. Drawing Parabola

2. Solving quadratic equation

graphically.

Graph Board

Black Board

Activity Exercise

Activity

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Unit Name: Circles No. of Periods Required : 14

Date : From to

Objectives: 1.Defining the terms: Chord, Segment, Angle in a segment.

2.Construction of chord of a given length in a circle.

3.Stating & verifying the properties related to chords & angles in a segment.

4.Differentiating congruent triangles with concentric circles.

5.Defining the terms: Secant & Tangent.

6.Geometrical comparison of Chord, Secant & Tangent

7.Stating & proving theorems related to touching circles & tangents.

8.Defining the meaning of internally & externally touching circles.

9.Relating ‘d’, ‘R’, ‘r’ of circles using length of tangent.

10.Constructing tangents to circles from external point.

11.Constructing Direct & Transverse Common Tangents to circles.

Sl.

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Learning Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

1. Concepts on circles:

(a)Chord (b) Segment

(c) Arc

1.Identification of various

diagrammatical concepts in circles

drawn on board.

2.Recalling the definitions of these

concepts.

Class room &

Geometrical

instruments

Chart/s having the

definitions

Discussion

Observation

Group

discussion

Questionnaire

2. Chord in a circle 1. Construction of chords of distinct

length in circles.

2.Ennumerating the steps

Class room &

Geometrical

instruments

Discussion

Observation

Group

discussion

Observation

Schedule

3. Properties of Chords &

Angles in the same

segment

1.Drawing chords in circles &

Identifying angles in segments.

2.Generalising the properties.

3.Solving problems on properties.

Classroom &

geometrical

instruments

Discussion

Problem

solving

Group

discussion

Exercise

Problems

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4. Concentric &

Congruent circles

1.A general discussion on circles & their

arrangement.

2.Comparison of concentric &

congruent circles.

3.Construction of concentric &

congruent circles.

4.Solving problems

Classroom &

geometrical

instruments

Discussion

Problem

solving

Group

discussion

Exercise

Problems

Sl.

No.

Learning Competencies

Activities favorable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

5. Concepts:

(a)Secant

(b)Tangent

1.Defining the terms Secant and tangent

2.Comparison of Chord, Secant &

Tangent.

3.Highlighting the properties of

tangents.

Class room &

Geometrical

instruments

Chart/s having the

definitions

Observation

Observation

Observation

schedule

Questionnaire

6. Tangent to circles (a) at point on the circle

(b) from an external

point to the circle.

1.Construction of tangents at different

points on circles and also from different

points.

2.Constucting two tangents from an

external point to a circle and measuring

the length and subtending angles.

3.Stating & proving the related theorem.

Class room &

Geometrical

instruments

Charts on steps of

construction

Discussion

Observation

Group

discussion

Observation

Schedule

7. Touching circles:

(a)Internally touching

(b)Externally touching

1.Classifying touching circles.

2.Listing of properties.

3.Solving problems on touching circles

Classroom &

geometrical

instruments

Charts

Discussion

Construction

Group

discussion

Exercise

Problems

8. Common Tangents

(a)Direct Common Tangents

(b)Transverse Common

1.Defining DCT & TCT.

2.Discussing the steps of construction

3.Construction of DCT & TCT

Classroom &

geometrical

instruments

Discussion Group

discussion

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Tangents

Charts

Construction Exercise

Problems

Unit Name : Similar Triangles No. of Periods Required : 16

Date : From to

Objectives: 1.Explains the meaning of similar triangles. 2.Differentiates similar triangles with congruent triangles.

3.States and proves Basic proportionality theorem. 4.States and proves Angle-Angle criteria for similar triangles.

5.States SAS,SSS criteria 6.States and proves the criteria related to right angled triangle.

7.Solves problems related to theorems and criterions.

Sl.

NO. Learning Competencies Activities facilitating Learning Teaching Aids Evaluation Introspection Date

Techniques Tools

1. Similar geometrical

figures and similar

triangles

1.Classification of figures having the

same shape and explaining the meaning

of similar triangles.

2.verification of proportionality of

corresponding sides in similar triangles.

3.Comparison of measurement of

corresponding sides & angles.

4.Solving exercise problems.

Balls of different

sizes, Triangles of

different shapes,

cardboard squares,

….

Classroom

apparatus

Questioning

Discussion

Discussion

Solving

Problems

Checklist

Checklist

Checklist

Exercise

2. Basic Proportionality

Theorem

1.Construction of few triangles &

calculation of ratios of corresponding

sides. Then comparison of equality of

ratios.

2.Inductively stating & proving the

theorem.

Triangles of

different scales,

Classroom

apparatus

Discussion

Solving

Problems

Checklist

Checklist

3. Corollary of Basic

proportionality

theorem.

1.Stating & proving the corollary

through discussion.

2.Solving problems on basic

proportionality theorem and its

converse.

Classroom

instruments

Questioning Questionn

aire

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4. Angle-Angle Criterion

Theorem

1.Proving the Angle-Angle criterion

theorem group discussion

2.Solving Rider’s problems based on A-

A similarity criterion by Analysis.

Classroom

instruments

Problem

solving

Questionn

aire

5. SSS, SAS, Right angle

criterion similarity

criterion for two

triangles

1.Introducing and stating SSS, SAS &

right angle similarity criterion for two

triangles through examples.

2.Solving problems based on SSS, SAS,

Right angle criterion similarity criterion

Discussion

Problem

solving

Checklist

Exercise

problems

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Unit Name : Pythagoras Theorem No. of Periods Required : 10

Date : From to

Objectives: 1.Stating & logically proving Pythagoras theorem and its converse. 2.Recalling the scope of Pythagorean triplets.

3.Solving logical problems on Pythagoras theorem & its converse.

4.Analysing life related situations on Pythagoras theorem and solving them.

Sl.

No.

Learning Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

1. Pythagoras Theorem 1.Discussion on triangles

2.construction of right angled triangles.

3.Squaring the sides & comparison of

sums with that of hypotenuse.

4.Proving the theorem inductively.

5.Solving problems on the theorem.

Class room &

Geometrical

instruments

Discussion

Problem

Solving

Group

discussion

Exercise

Problems

2. Pythagorean Triplets 1.Squaring natural numbers & equating

the sum of two squares with the square

of the other.

2.Generalising the result.

Class room &

Geometrical

instruments

Discussion

Observation

Group

discussion

Observation

Schedule

3. Converse of

Pythagorean Theorem

1.Verification of triplets for various right

angled triangles and reframing the

statement.

2.Proving the theorem synthetically.

3.Solving problems on the converse.

Classroom &

geometrical

instruments

Discussion

Problem

solving

Group

discussion

Exercise

Problems

4. Applications of

Pythagoras Theorem

1.A general discussion on the

importance of the theorem and its

consequences.

Classroom

instruments

Discussion Group

discussion

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Unit Name : Trigonometry No. of Periods Required : 16 Date : From to Objectives 1. Able to write trigonometric ratios in a given right triangle 2. Find out the trigonometric ratios of 0,30,45,60,90 3. Able to prove trigonometric identities. 4. Able to solve examples on heights and distances.

Sl.

No.

Learning Competencies

Activities favorable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

1. .Concept of

trigonometry

Trigonometric ratios

1)Recognize sides of right triangle using

diagram

2)Identifying ratios of sides of triangle

and giving trigonometric names to that

ratios

Black board

Chart

Observation

Observation

Checklist

Checklist

2. *.Reciprocals of

trigonometric ratios

1)Expressing relationship between one

trigonometric ratio with other by taking

reciprocals

2)Illustrative examples

3) Applying trigonometric ratios in

solving examples

Black board

Chart

Black board

Observation

Questioning

Checklist

Questionnaire

3.

Trigonometric ratios of

standard angles

Finding trigonometric ratios of

0,30,45,60,90 and representing them in

a table.

Black board

Chart

Observation

Checklist

4.

Trigonometric

identities

Proving trigonometric identities using

right triangle

Black board

Observation

Checklist

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5. Trigonometric ratios of

complementary angles

Identifying complementary angles in

right triangle and preparing a chart

containing trigonometric ratios of

complementary angles.

Black board

Observation

Checklist

6. .Heights and distances Illustrative examples to apply

trigonometric concepts in finding height

and distance

Black board

Observation

Checklist

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Unit Name: Co ordinate geometry No. of Periods Required : 12

Date : From to Objectives 1. Able to locate co ordinate points on co ordinate plane. 2. Able to calculate the slope of a given line. 3. Able to calculate distance between two points on a plane. 4. Able to find out the coordinates of a point which divides the line in a given ratio.

Sl.

No.

Learning Competencies

Activities favorable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

1. Concept of coordinate

geometry.

Representing coordinate axes ,

quadrants, coordinate points on a plane.

Graph chart Observation Checklist

2. Graphical

representation of

equations of the form

ax+by=c

Representing equations of the form

ax+by=c on graph chart.

Chart Observation Checklist

3. Inclination of a straight

line

Explaining the concepts of inclination,

slope with the help of diagram.

Black board Observation Checklist

4. Slope of a straight line

passing through two

given points.

Finding slope of a straight line passing

through given points using coordinate

system.

Graph chart

Black board

Questioning Questionnaire

5. Slope of parallel lines

and perpendicular lines

Finding slope of parallel lines and

perpendicular lines using diagram.

Black board Observation Checklist

6. Equation of a line in

slope-intercept form.

Deriving formula y=mx+c using

diagram.

Black board Observation Checklist

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7. Distance between two

points.

Finding distance between given two

points on a coordinate system.

Black board Observation Checklist

8. Section formula Finding coordinates of a point which

divides the line joining the two points in

the ratio m:n

Black board Observation Checklist

Unit Name: Mensuration No. of Periods Required : 12

Date : From to

Objectives: 1.Defining the terms: Cylinder, Cone & Sphere.

2.Listing the properties of Cylinder, Cone, Sphere & Hemisphere.

3.Deriving the formulae related to area & volume of Cylinder, Cone, Sphere & Hemisphere

4.Solving problems on curved surface, whole surface areas & Volumes.

5.Defining Frustum of a cone; solving problems on area & volume.

6.Calculating areas of other polyhedrons.

7.Finding areas using Scale drawing.

Sl.

No.

Learning Competencies

Activities favourable to learning

TLM

Evaluation

Date of

Activities

Teacher

’s Intro

spectio

n Techniques Tools

1. Concepts:

(a)Cylinder

(b)Cone

(c)Sphere

1.Defining the terms ‘Cylinder, Cone,

Sphere & Hemisphere’

2.Comparison of polyhedrons.

3.Deriving the formulae related to areas

& volumes.

4.Solving problems on curved surface,

whole surface areas & Volumes of

polyhedrons.

Class room

instruments

Model of

Polyhedrons

Comparative

Chart/s &

diagrams.

Observation

Observation

Problem

solving

Observation

schedule

Questionnaire

Exercise

problems

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34

2. Frustum of Cone 1.Defining the term ‘Frustum’.

2.Ennumerating the area of frustum.

3.Solving related problems.

Class room

instruments.

Chart

Discussion

Observation

Group

discussion

Observation

Schedule

3. Areas of other

polyhedrons

1.Identifying the polyhedrons containing

the shapes of cylinder, cone, sphere

together.

2.Finding the areas of such combined

polyhedrons.

Classroom

instruments

Charts

Discussion

Problem

solving

Group

discussion

Exercise

Problems

4. Scale Drawing 1.Recalling the formulae to find the area

of a right-angled triangle, rectangle &

trapezium.

2.Solving related problems.

Classroom &

Geometrical

instruments

Chart on formulae

Discussion

Problem

solving

Group

discussion

Exercise

Problems

(Usage of Tools & Techniques are left to the discretion of individual)

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