First Term Mathematics Syllabus
UNIT  SUBJECT  TOPICS  
UNIT I: NUMBER SYSTEMS

REAL NUMBERS  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.  
UNIT II: ALGEBRA 

1.
2.


UNIT III: GEOMETRY  1. TRIANGLES  Definitions, examples, counter examples of similar triangles.


UNIT IV: TRIGONOMETRY 

1.
2.


Unit V: Statistics And Probability

1. Statistics 
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph. 
Second Term Mathematics Syllabus
UNIT II: ALGEBRA (Contd.)


3.
4.


UNIT III: GEOMETRY (Contd.)


2.
3.


UNIT IV: TRIGONOMETRY

3. HEIGHTS AND DISTANCES 
Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.  
UNIT V: STATISTICS AND PROBABILITY

2. PROBABILITY  Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.  
UNIT VI: COORDINATE GEOMETRY

1. LINES (In twodimensions) 
Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.  
UNIT VII: MENSURATION


