changed syllabus of ssc exam - maths preparation

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1. Arithmetic Progression (अंकगणणतीय श्रेढी)

∙ Sequence ( क्रणमका )

Arithmetic progression (A.P.)

∙ nth

term of a sequence ( सामान्य पद )

∙ Sum of first n terms

2. Quadratic equations ( वगग समीकरण े)

∙ Methods of solving quadratic equation

( वगगसमीकरण सोडणवण्याच्या पद्धती )

1. Factorisation ( अवयव पद्धती)

2. Completing Square ( पूणग वगग पद्धती)

3. Formula Method ( सूत्र पद्धती )

∙ Nature of roots

( वगगसमीकरणाच्या मुळांच ेस्वरूप )

∙ Sum and product of roots

( मुळांची बेरीज आणण गुणाकार )

∙ Formation of quadratic equation

( वगगसमीकरणामध्ये रुपांतर )

3. Linear equations in two variables

( दोन चलांतील रेषीय समीकरण े)

∙ Solution of simultaneous equations

(एकसामाणयक समीकरणांची उकल)

1. Graphical Method (आलेख पद्धती)

2. Determinant Method (णनश्चयक पद्धती)

∙ Application of simultaneous equations

( एकसामाणयक समीकरणांचा उपयोग )

4. Probability ( संभाव्यता )

∙ Random experiment

( यादणृच्िक प्रयोग )

∙ Event ( घटना )

∙ Probability of an Event ( घटनेची संभाव्यता )

∙ Types of events ( घटनेचे प्रकार )

∙ Addition theorem ( बेरीज गुणधमग )

5. Statistics – I ( सांणययकी - १)

∙ To determine mean ( मध्य ), median ( मध्यक )

and mode ( बहुलक )

6. Statistics – II ( सांणययकी - २)

∙ Pictorial representation ( णचत्ररूप सादरीकरण )

i. Pie diagram ( वृत्तालेख )

ii. Histogram ( आयतालेख )

iii. Ogive curve ( संणचत वारंवारता वक्र )

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1. Similarity ( समरूपता )

∙ Properties of ratios of areas of two

triangles

( दोन णत्रकोणांच्या क्षेत्रफळांच्या गुणोत्तरांचा गुणधमग )

∙ Basic proportionality theorem and its

converse (B.P.T.)

( प्रमाणाच ेमुलभूत प्रमेय आणण त्याचा व्यत्यास )

∙ Pythagoras theorem and its converse

∙ Apollonius Theorem

∙ Theorem on 30˚- 60˚- 90˚ triangle.

2. Circle ( वतुगळ )

∙ Tangent and its properties

(स्पर्शीका आणण णतच ेगुणधमग)

∙ Touching circles ( स्पर्शगवतुगळे )

∙ Tangent – secant theorem

(स्पर्शीका िेददका प्रमेय )

3. Geometric Constructions ( भौणमणतक रचना )

∙ Construction of triangle

∙ To construct circumcircle (पररवतुगळ ) and

incircle of a triangle ( अंतवगतुगळ )

4. Trigonometry ( णत्रकोणणमती )

∙ Trigonometric ratios

∙ New definition of an angle.

∙ Identities

∙ Applications of trigonometry

( Problems based on Height and Distance )

5. Co-ordinate Geometry ( णनदेर्शक भूणमती )

∙ Inclination of a line ( रेषेचा कल )

∙ Concept of slope of a line (रेषेचा चढ)

∙ Equation of line in different forms

( रेषेचे समीकरण )

6. Mensuration ( महत्त्वमापन)

∙ To find area and volume

(क्षेत्रफळ आणण घनफळ)

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NEW EVALUATION

METHOD

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∙ Algebra 40 marks Time: 2hrs

∙ Geometry 40 marks Time: 2hrs

∙ Internal 20 marks

Assessment

______________

Total 100 marks

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10 marks for homework

( 5 algebra and 5 geometry)

10 marks for multiple choice question test

in 2nd

Semester

( 5 algebra and 5 geometry)

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There will be separate papers for algebra and

geometry.

UUnniittwwiissee wweeiigghhttaaggee :: AAllggeebbrraa

Sr.

No.

Unit Marks with option

1 Arithmetic Progressions

(अंकगणणतीय श्रेढी)

12

2 Quadratic equations

(वगगसमीकरणे)

12

3 Linear equations in two

variables

(दोन चलांतील रेषीय समीकरणे)

12

4 Probability

(संभाव्यता)

10

5 Statistics - 1

(सांणययकी – १)

6

6 Statistics - 2

(सांणययकी – २)

8

Total 60

UUnniittwwiissee wweeiigghhttaaggee :: GGeeoommeettrryy

Sr.

No.

Unit Marks with option

1 Similarity

(समरूपता)

12

2 Circle (वतुगळ) 10

3 Geometric Constructions

(भौणमणतक रचना)

10

4 Trigonometry

(णत्रकोणणमती)

10

5 Co-ordinate Geometry

(णनदरे्शक भूणमती)

8

6 Mensuration

(महत्त्वमापन)

10

Total 60

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BBooookk

Constructivism (ज्ञानरचना वाद)

पूवीची घोका आणण ओका पद्धत वापरता येणार नाही

मुलांना णवचार करायला प्रवृत्त करणारी व प्रश्न णवचारायची

मुभा असणारी णर्शक्षणपद्धती .

Contribution of Parents (पालकांचा सहभाग)

णवद्याथी, पालक आणण णर्शक्षक असा णत्रकोण तयार झाला

पाणहज े.

Activities (कृती)

e.g. : Can you find more triplets like 1, 25,

49?

Observe this

Difference between 37 and 73 is 36 which is

(7 – 3) * 9

Higher Order Thinking Skill ( HOTS )

questions

(उच्चस्तरीय णवचारकौर्शल्य णनमागण करणारी प्रश्नपेढी)

∙ Develop the skill of analytical thinking, logical

sequencing and accuracy in calculations.

∙ Sums based on combination of 2,3 topics.

( a sum based on Q.E. and probability )

∙ HOTS questions not necessarily from text

book.

∙ 30% of the total marks i.e.24 marks

(12 marks for algebra and 12 marks for

geometry )

∙ Even 1 mark HOT sums can be asked.

( process is important )

What should be done?

∙ Tables up to 30 ( पाढे )

∙ Squares of numbers from 1 to 30 ( वगग )

∙ Cubes of numbers from 1 to 10 (घन)

∙ Concepts of ratio, percentage (गुणोत्तर आणण र्शतमान)

∙ Laws of Indices (घातांकाचे णनयम)

∙ LCM and HCF ( लसाणव आणण मसाणव )

∙ Revise concepts ( 5th to 9th standards )

∙ Make list of all formulae.

∙ Solve all HOTS from the text book. In examination

sums of similar types will be asked.

∙ Try to solve HOTS sums on your own. If you do

not get solution, then only ask your teacher or

refer to study material.

General instructions

∙ marks are given for steps.

∙ If unit is mentioned in a sum, it must be

mentioned in the answer.

∙ There will be 4 sets for question papers.

∙ In the answers for sums on statistics integral part

must be correct.

∙ In geometric constructions analytical figures are

must (only rough sketch )

∙ Sums on activities will not be asked.

∙ Do not read part given in boxes during revision.

∙ Do calculations independently.

( Division of labour leads to division of marks !)

∙ If method is not mentioned use factorization or

formula method while solving quadratic

equations.

∙ Any correct method will be given full credit. But

it’s better to use method given in the text book.

∙ No topic for option!

∙ Give tests.

HOTS SUMS

1. In Δ ABC, if measure of an angle B is 90° then

sin( A + c ) =

Sol:

sin( A + c ) = sin90° = 1

2. Express sinθ in terms of tanθ.

Sol :

2

2

sintan

cos

1 1sin cos tan tan tan

sec sec

1tan

1 tan

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