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APSWREISOCIETY J.VISWESWARA RAOLESSON PLAN FORMAT PGT MATHS

PERIOD: 01 APSWRSCHOOL/JC, KOPPERLA

MONTH: NOVEMBER TRIGONOMETRY

Date and Time: class: X Subject: Maths Medium: English

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Content analysis/concepts/subconcepts Activities indicating behavioral/learning out comes

Aids/experimentsto be done

/demonstrations

etc. method Evaluation

By teacher By Pupil

If a ray rotates in the clockwise

sense, the sign of the angle so

formed is taken by convention,

as negative measurement. If the

rotation is the counter or anti

clock wise sense, the sign of theangle so formed is taken, by

convention, as positive

measurement.

Units of measurement of angles:

For measurement of angles,

there are three unknown

systems. They are

I) Sexagesimal (English)

system ii) Centesimal (French)

system, and iii) the radian orcircular measure.

What is a path joining a set of

points in plane?

What is known as a portion of a

line together with its dividingpoint?

What is a right angle?

What is a called an angle

measuring between 0 and 90?

What is called an angle whosemeasure exceeds 90 but fallsbelow 180 ?

What is called when the rotating

ray stops after making an angle of

rotation , the place where the

rotating ray stops?

What is the angle turned when the

ray has completed on full

revolution about the vertex?

How many types of measurements

of angles are there?

What are they?

A line

A ray

90

Acute angle

Obtuse angle

Terminal ray

360

3 types

I) Sexagesimal (English)

system ii) Centesimal (French)

system, and iii) the radian or

circular measure

A

N

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Recapitulation: Define a degree in sexagesimal system?How many grades for a right angle?

Behavioral changes: Students recall angles and its types.Student understands types of units of measurement of angles.

Student understands definitions of system units of measurement of angles.

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APSWREISOCIETY J.VISWESWARA RAOLESSON PLAN FORMAT PGT MATHS

PERIOD: 02 APSWRSCHOOL/JC, KOPPERLA

MONTH: NOVEMBER TRIGONOMETRY

Date and Time: class: X Subject: Maths Medium: English

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Content analysis/concepts/subconcepts Activities indicating behavioral/learning out comes

Aids/experiments to bedone /demonstrations etc.

method Evaluation

By teacher By Pupil

Radian measure:

A radian is defined as the angle

subtended by an arc of length

equal to the radius of the circle

at its centre.

A radian is a unit of angle

measurement. And is written asc1 .The radian measure is also

called a circle measure, as it is

related to a circle.

Relation between degrees and

radians:

Since the terminal arm of the

angle completes one revolution,

What is the centre of the

circle?

What is the radius of the

circle?

What is arc?

In the adjacent figure what

is AB?

What is the angle subtendedby an arc at centre?

How to represent a radian?

Define a radian?

What is the circumference

of the circle?

What it the angle measure,

the circumference subtends

at the centre?

o

r

AB

r

1 radian.

c1

A radian is defined as the

angle subtended by an arc of

length equal to the radius ofthe circle at its centre.

r2

360

A

N

Define one

radian?

What is the

circumference of

the circle?

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Recapitulation: 1.Define radian?

2. What is the relation between degrees, radians and grades?

3. If the terminal side completes one revolution about its vertex, what is the angle made?

Behavioral changes: Students understanding the dominion of radian.

Student understands the relation between the degrees, radians and grades.

Students converting degrees into radians, radians into degrees etc.

.

Assignment: solve the exercise problems page No.237.

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C l i / / b Aid /

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Content analysis/concepts/sub conceptsActivities indicating behavioral/learning out comes

Aids/experiment

s to be

done

/demons

trations

etc.

method Evaluation

By teacher By Pupil

The word trigonometry is derived from the

Greek roots- tri meaning three gonia meaningan angle and metron meaning measure. Thus

trigonometry means three angle measures. It is

an analytical study of a three angled

geometrical figure-namely the triangle.

Hipparicus a Greek mathematician establishedthe relationships between the sides and angles

of a triangle.

Definitions of Trigonometry ratios:

(for 0