Units and Topics
|1||Rational and Irrational Numbers||-|
|2||Parallel Lines and Transversal||-|
|3||Indices and Cube Root||-|
|4||Altitudes and Medians of a Triangle||-|
|6||Factorisation of Algebraic Expressions||-|
|8||Quadrilateral : Constructions and Types||-|
|9||Discount and Commission||-|
|10||Division of Polynomials||-|
|12||Equations in One Variable||-|
|13||Congruence of Triangles||-|
|16||Surface Area and Volume||-|
|17||Circle - Chord and Arc||-|
1 Rational and Irrational Numbers
2 Parallel Lines and Transversal
- Pairs of Lines - Transversal
- Pairs of Lines - Angles Made by a Transversal
- Pairs of Lines - Transversal of Parallel Lines
- Properties of Angles Formed by Two Parallel Lines and a Transversal
- Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Corresponding Angles is Equal.
- Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Alternate Interior Angles Are Equal.
- To Draw a Line Parallel to the Given Line Through a Point Outside the Given Line Using Set-square.
- To Draw a Parallel Line to a Given Line at a Given Distance.
3 Indices and Cube Root
- Concept of Exponents
- Laws of Exponents
- Meaning of Numbers with Rational Indices
- Concept of Cube Number
- Concept of Cube Root
- Cube Root Through Prime Factorisation Method
4 Altitudes and Medians of a Triangle
5 Expansion Formulae
6 Factorisation of Algebraic Expressions
8 Quadrilateral : Constructions and Types
- Constructing a Quadrilateral
- To construct a quadrilateral, whose four sides and one angle are given.
- To construct a quadrilateral, whose three sides and two consecutive angles are given.
- To construct a quadrilateral, whose four sides and one diagonal are given.
- To construct a quadrilateral, whose three sides and two diagonals are given.
- Types of Quadrilaterals
- Properties of a Square
10 Division of Polynomials
12 Equations in One Variable
13 Congruence of Triangles
- Area of a Parallelogram
- Area of a Rhombus
- Area of the rhombus if base and height are given.
- Area of the rhombus if the diagonals are given.
- Area of Trapezium
- Area of a Triangle
- Area of a Triangle by Heron's Formula
- Collinearity of three points
- Area of Figures Having Irregular Shape
- Circumference of a Circle
16 Surface Area and Volume
17 Circle - Chord and Arc
- Properties of Chord of a Circle
- The perpendicular drawn from the centre of a circle to its chord bisects the chord.
- The segment joining the centre of a circle and midpoint of its chord is perpendicular to the chord.
- Arcs Corresponding to the Chord of a Circle
Congruent arcs :
If the measures of two arcs of circle are same then two arcs are congruent.
Books For All Subjects
- Mathematics 8th Standard Maharashtra State Board