Term-2 Mathematics | Class 10

UNIT-NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and
after illustrating and motivating through examples. Decimal representation of rational
numbers in terms of terminating/non-terminating recurring decimals.
UNIT-ALGEBRA
2. POLYNOMIALS
Zeroes of a polynomial. Relationship between zeroes and coefficients of quadratic
polynomials only.
3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and graphical method of their solution,
consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a
pair of linear equations in two variables algebraically - by substitution and by elimination.
Simple situational problems. Simple problems on equations reducible to linear
equations.
UNIT-COORDINATE GEOMETRY
4. COORDINATE GEOMETRY
LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.
Section formula (internal division)
UNIT-GEOMETRY
5. TRIANGLES
Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides
in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to