Changed Syllabus of SSC Exam - Maths Preparation
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AAllggeebbrraa (( ?????????????? ))
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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