At kaushal Acedemy, Mathematics is not only about problem solving and achieving marks, Our academy provides the students with :
Course Structure  

UNITS  UNIT NAME  MARKS 
I.  NUMBER SYSTEM  06 
II.  ALGEBRA  20 
III.  GEOMETRY  15 
IV.  TRIGONOMETRY  12 
V.  COORDINATE GEOMETRY  06 
VI.  STATISTICS & PROBABILITY  11 
VII.  MENSURATION  10 

TOTAL  80 
Euclid's division lemma, Fundamental Theorem of Arithmetic  statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results  irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/nonterminating recurring decimals.
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically  by substitution, by elimination and by cross multiplication method. Simple situational problems must be included. Simple problems on equations reducible to linear equations.
Standard form of a quadratic equation ax² +bx+c=0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be incorporated.
Motivation for studying Arithmetic Progression Derivation of the n th term and sum of the first n terms of A.P. and their application in solving daily life problems.
Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
Definitions, examples, counter examples of similar triangles.
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
Trigonometric ratios of an acute angle of a rightangled triangle. Motivate the ratios, whichever are defined at 0° and 90°. Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.
Applications of the identities:
Proof and applications of the identities (only simple identities to be
given):
sin²A + cos²A = 1
sec²A – tan²A=1
cosec²A – cot²A=1
Trigonometric ratios of complementary angles.
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).
(i) Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
Classical definition of probability. Simple problems on single events (not using set notation).
Time : 3 Hours
S. No  Typolgy of Questions  Very Short AnswerObjective Type(VSA) (1 Mark)  Short AnswerI(SA) (2 Marks)  Short AnswerII(SA) (3 Marks)  Long Answer (LA) (4 Marks)  Total Marks  % Weightage(approx.) 

1  Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. 
6  2  2  1  20  25 
2  Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating 
6  1  1  3  23  29 
3  Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 
5  2  2  1  19  24 
4 
Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations 
3  1  3  1  18  22 
Total  20x1=20  6x2=12  8x3=24  6x4=24  80  100 
INTERNAL ASSESSMENT  20 MARKS 
Pen Paper Test and Multiple Assessment (5+5)  10 Marks 
Portfolio  05 Marks 
Lab Practical (Lab activities to be done from the prescribed books)  05 Marks 
Time : 3 Hours
S. No  Typolgy of Questions  Very Short AnswerObjective Type(VSA) (1 Mark)  Short AnswerI(SA) (2 Marks)  Short AnswerII(SA) (3 Marks)  Long Answer (LA) (4 Marks)  Total Marks  % Weightage(approx.) 

1  Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. 
5  2  5  2  32  40 
2  Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating 
7  1  1  4  28  35 
3  Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 
5  2  1    12  15 
4 
Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations 
3  1  1    8  10 
Total  20x1=20  6x2=12  8x3=24  6x4=24  80  100 
INTERNAL ASSESSMENT  20 MARKS 
Pen Paper Test and Multiple Assessment (5+5)  10 Marks 
Portfolio  05 Marks 
Lab Practical (Lab activities to be done from the prescribed books)  05 Marks 
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